id	sid	tid	token	lemma	pos
ajset-575	1	1	microsoft	microsoft	PROPN
ajset-575	1	2	word	word	NOUN
ajset-575	1	3	1.docx	1.docx	NUM
ajset-575	1	4	academic	academic	ADJ
ajset-575	1	5	journal	journal	NOUN
ajset-575	1	6	of	of	ADP
ajset-575	1	7	science	science	NOUN
ajset-575	1	8	,	,	PUNCT
ajset-575	1	9	engineering	engineering	NOUN
ajset-575	1	10	and	and	CCONJ
ajset-575	1	11	technology	technology	NOUN
ajset-575	1	12	vol.6	vol.6	PROPN
ajset-575	1	13	,	,	PUNCT
ajset-575	1	14	issue	issue	NOUN
ajset-575	1	15	1	1	NUM
ajset-575	1	16	;	;	PUNCT
ajset-575	1	17	january	january	PROPN
ajset-575	1	18	febuary	febuary	PROPN
ajset-575	1	19	2021	2021	NUM
ajset-575	1	20	;	;	PUNCT
ajset-575	1	21	1252	1252	NUM
ajset-575	1	22	columbia	columbia	PROPN
ajset-575	1	23	rd	rd	PROPN
ajset-575	1	24	nw	nw	PROPN
ajset-575	1	25	,	,	PUNCT
ajset-575	1	26	washington	washington	PROPN
ajset-575	1	27	dc	dc	PROPN
ajset-575	1	28	,	,	PUNCT
ajset-575	1	29	united	united	PROPN
ajset-575	1	30	states	states	PROPN
ajset-575	1	31	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	1	32	;	;	PUNCT
ajset-575	1	33	mail	mail	NOUN
ajset-575	1	34	:	:	PUNCT
ajset-575	1	35	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	2	1	48	48	NUM
ajset-575	3	1	|	|	ADV
ajset-575	3	2	a	a	DET
ajset-575	3	3	c	c	NOUN
ajset-575	3	4	a	a	PRON
ajset-575	3	5	d	d	X
ajset-575	3	6	e	e	NOUN
ajset-575	3	7	m	m	NOUN
ajset-575	3	8	i	i	NOUN
ajset-575	3	9	c	c	NOUN
ajset-575	3	10	j	j	NOUN
ajset-575	3	11	o	o	X
ajset-575	3	12	u	u	NOUN
ajset-575	3	13	r	r	NOUN
ajset-575	3	14	n	n	NOUN
ajset-575	3	15	a	a	DET
ajset-575	3	16	l	l	NOUN
ajset-575	4	1	o	o	X
ajset-575	4	2	f	f	X
ajset-575	4	3	s	s	X
ajset-575	4	4	c	c	NOUN
ajset-575	5	1	i	i	NOUN
ajset-575	5	2	e	e	PROPN
ajset-575	5	3	n	n	PROPN
ajset-575	5	4	c	c	NOUN
ajset-575	5	5	e	e	X
ajset-575	5	6	,	,	PUNCT
ajset-575	5	7	e	e	PROPN
ajset-575	5	8	n	n	PRON
ajset-575	5	9	g	g	NOUN
ajset-575	5	10	i	i	PRON
ajset-575	5	11	n	n	VERB
ajset-575	5	12	e	e	NOUN
ajset-575	5	13	e	e	NOUN
ajset-575	5	14	r	r	VERB
ajset-575	5	15	i	i	PRON
ajset-575	5	16	n	n	CCONJ
ajset-575	5	17	g	g	PROPN
ajset-575	5	18	a	a	DET
ajset-575	5	19	n	n	NOUN
ajset-575	5	20	d	d	NOUN
ajset-575	5	21	t	t	NOUN
ajset-575	5	22	e	e	X
ajset-575	5	23	c	c	NOUN
ajset-575	5	24	h	h	NOUN
ajset-575	5	25	n	n	ADV
ajset-575	5	26	o	o	NOUN
ajset-575	5	27	l	l	NOUN
ajset-575	6	1	o	o	X
ajset-575	6	2	g	g	NOUN
ajset-575	6	3	y	y	PROPN
ajset-575	6	4	|	|	ADV
ajset-575	6	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	6	6	the	the	DET
ajset-575	6	7	rotating	rotate	VERB
ajset-575	6	8	wave	wave	NOUN
ajset-575	6	9	theory	theory	NOUN
ajset-575	6	10	:	:	PUNCT
ajset-575	6	11	a	a	DET
ajset-575	6	12	unifying	unifying	ADJ
ajset-575	6	13	theory	theory	NOUN
ajset-575	6	14	of	of	ADP
ajset-575	6	15	physics	physics	PROPN
ajset-575	6	16	bill	bill	PROPN
ajset-575	6	17	christie	christie	PROPN
ajset-575	6	18	and	and	CCONJ
ajset-575	6	19	benny	benny	PROPN
ajset-575	6	20	wong	wong	PROPN
ajset-575	6	21	architect	architect	PROPN
ajset-575	6	22	aibc	aibc	PROPN
ajset-575	6	23	oaa	oaa	PROPN
ajset-575	6	24	port	port	PROPN
ajset-575	6	25	coquitlam	coquitlam	PROPN
ajset-575	6	26	,	,	PUNCT
ajset-575	6	27	british	british	PROPN
ajset-575	6	28	columbia	columbia	PROPN
ajset-575	6	29	abstract	abstract	NOUN
ajset-575	6	30	:	:	PUNCT
ajset-575	6	31	the	the	DET
ajset-575	6	32	michelson	michelson	PROPN
ajset-575	6	33	-	-	PUNCT
ajset-575	6	34	morley	morley	PROPN
ajset-575	6	35	experiment	experiment	NOUN
ajset-575	6	36	was	be	AUX
ajset-575	6	37	a	a	DET
ajset-575	6	38	famous	famous	ADJ
ajset-575	6	39	experiment	experiment	NOUN
ajset-575	6	40	that	that	PRON
ajset-575	6	41	attempted	attempt	VERB
ajset-575	6	42	to	to	PART
ajset-575	6	43	detect	detect	VERB
ajset-575	6	44	the	the	DET
ajset-575	6	45	motion	motion	NOUN
ajset-575	6	46	of	of	ADP
ajset-575	6	47	the	the	DET
ajset-575	6	48	earth	earth	NOUN
ajset-575	6	49	through	through	ADP
ajset-575	6	50	the	the	DET
ajset-575	6	51	luminiferous	luminiferous	ADJ
ajset-575	6	52	aether	aether	NOUN
ajset-575	6	53	.	.	PUNCT
ajset-575	7	1	the	the	DET
ajset-575	7	2	experiment	experiment	NOUN
ajset-575	7	3	was	be	AUX
ajset-575	7	4	unsuccessful	unsuccessful	ADJ
ajset-575	7	5	,	,	PUNCT
ajset-575	7	6	and	and	CCONJ
ajset-575	7	7	this	this	PRON
ajset-575	7	8	led	lead	VERB
ajset-575	7	9	to	to	ADP
ajset-575	7	10	the	the	DET
ajset-575	7	11	development	development	NOUN
ajset-575	7	12	of	of	ADP
ajset-575	7	13	the	the	DET
ajset-575	7	14	special	special	ADJ
ajset-575	7	15	theory	theory	NOUN
ajset-575	7	16	of	of	ADP
ajset-575	7	17	relativity	relativity	NOUN
ajset-575	7	18	by	by	ADP
ajset-575	7	19	albert	albert	PROPN
ajset-575	7	20	einstein	einstein	PROPN
ajset-575	7	21	.	.	PUNCT
ajset-575	8	1	keywords	keyword	NOUN
ajset-575	8	2	:	:	PUNCT
ajset-575	8	3	michelson	michelson	PROPN
ajset-575	8	4	-	-	PUNCT
ajset-575	8	5	morley	morley	PROPN
ajset-575	8	6	experiment	experiment	NOUN
ajset-575	8	7	,	,	PUNCT
ajset-575	8	8	luminiferous	luminiferous	ADJ
ajset-575	8	9	aether	aether	NOUN
ajset-575	8	10	,	,	PUNCT
ajset-575	8	11	special	special	ADJ
ajset-575	8	12	theory	theory	NOUN
ajset-575	8	13	of	of	ADP
ajset-575	8	14	relativity	relativity	NOUN
ajset-575	8	15	,	,	PUNCT
ajset-575	8	16	length	length	NOUN
ajset-575	8	17	contraction	contraction	NOUN
ajset-575	8	18	,	,	PUNCT
ajset-575	8	19	time	time	NOUN
ajset-575	8	20	dilation	dilation	NOUN
ajset-575	8	21	,	,	PUNCT
ajset-575	8	22	lorentz	lorentz	NOUN
ajset-575	8	23	transformations	transformation	NOUN
ajset-575	8	24	1	1	NUM
ajset-575	8	25	.	.	PUNCT
ajset-575	9	1	introduction	introduction	NOUN
ajset-575	9	2	it	it	PRON
ajset-575	9	3	is	be	AUX
ajset-575	9	4	well	well	ADV
ajset-575	9	5	known	know	VERB
ajset-575	9	6	that	that	SCONJ
ajset-575	9	7	in	in	ADP
ajset-575	9	8	1887	1887	NUM
ajset-575	9	9	a.a	a.a	PROPN
ajset-575	9	10	.	.	PROPN
ajset-575	9	11	michelson	michelson	PROPN
ajset-575	9	12	and	and	CCONJ
ajset-575	9	13	e.w	e.w	PROPN
ajset-575	9	14	.	.	PROPN
ajset-575	9	15	morley	morley	PROPN
ajset-575	9	16	could	could	AUX
ajset-575	9	17	not	not	PART
ajset-575	9	18	detect	detect	VERB
ajset-575	9	19	any	any	DET
ajset-575	9	20	luminiferous	luminiferous	ADJ
ajset-575	9	21	ether	ether	NOUN
ajset-575	9	22	by	by	ADP
ajset-575	9	23	detecting	detect	VERB
ajset-575	9	24	a	a	DET
ajset-575	9	25	path	path	NOUN
ajset-575	9	26	length	length	NOUN
ajset-575	9	27	difference	difference	NOUN
ajset-575	9	28	between	between	ADP
ajset-575	9	29	light	light	NOUN
ajset-575	9	30	transmitted	transmit	VERB
ajset-575	9	31	in	in	ADP
ajset-575	9	32	the	the	DET
ajset-575	9	33	direction	direction	NOUN
ajset-575	9	34	of	of	ADP
ajset-575	9	35	the	the	DET
ajset-575	9	36	earth	earth	NOUN
ajset-575	9	37	’s	’s	PART
ajset-575	9	38	travel	travel	NOUN
ajset-575	9	39	through	through	ADP
ajset-575	9	40	the	the	DET
ajset-575	9	41	stationary	stationary	ADJ
ajset-575	9	42	ether	ether	NOUN
ajset-575	9	43	and	and	CCONJ
ajset-575	9	44	perpendicular	perpendicular	ADJ
ajset-575	9	45	to	to	ADP
ajset-575	9	46	that	that	DET
ajset-575	9	47	direction	direction	NOUN
ajset-575	9	48	by	by	ADP
ajset-575	9	49	a	a	DET
ajset-575	9	50	fringe	fringe	NOUN
ajset-575	9	51	shift	shift	NOUN
ajset-575	9	52	.	.	PUNCT
ajset-575	10	1	in	in	ADP
ajset-575	10	2	1889	1889	NUM
ajset-575	10	3	,	,	PUNCT
ajset-575	10	4	h.a	h.a	PROPN
ajset-575	10	5	.	.	PROPN
ajset-575	10	6	lorentz	lorentz	PROPN
ajset-575	10	7	suggested	suggest	VERB
ajset-575	10	8	that	that	SCONJ
ajset-575	10	9	the	the	DET
ajset-575	10	10	null	null	ADJ
ajset-575	10	11	result	result	NOUN
ajset-575	10	12	of	of	ADP
ajset-575	10	13	this	this	DET
ajset-575	10	14	famous	famous	ADJ
ajset-575	10	15	experiment	experiment	NOUN
ajset-575	10	16	might	might	AUX
ajset-575	10	17	be	be	AUX
ajset-575	10	18	due	due	ADJ
ajset-575	10	19	to	to	ADP
ajset-575	10	20	an	an	DET
ajset-575	10	21	actual	actual	ADJ
ajset-575	10	22	physical	physical	ADJ
ajset-575	10	23	length	length	NOUN
ajset-575	10	24	contraction	contraction	NOUN
ajset-575	10	25	of	of	ADP
ajset-575	10	26	the	the	DET
ajset-575	10	27	interferometer	interferometer	NOUN
ajset-575	10	28	as	as	SCONJ
ajset-575	10	29	measured	measure	VERB
ajset-575	10	30	in	in	ADP
ajset-575	10	31	the	the	DET
ajset-575	10	32	direction	direction	NOUN
ajset-575	10	33	of	of	ADP
ajset-575	10	34	its	its	PRON
ajset-575	10	35	motion	motion	NOUN
ajset-575	10	36	of	of	ADP
ajset-575	10	37	the	the	DET
ajset-575	10	38	earth	earth	NOUN
ajset-575	10	39	’s	’s	PART
ajset-575	10	40	orbit	orbit	NOUN
ajset-575	10	41	.	.	PUNCT
ajset-575	11	1	according	accord	VERB
ajset-575	11	2	to	to	ADP
ajset-575	11	3	lorentz	lorentz	PROPN
ajset-575	11	4	,	,	PUNCT
ajset-575	11	5	the	the	DET
ajset-575	11	6	length	length	NOUN
ajset-575	11	7	contraction	contraction	NOUN
ajset-575	11	8	was	be	AUX
ajset-575	11	9	merely	merely	ADV
ajset-575	11	10	due	due	ADJ
ajset-575	11	11	to	to	ADP
ajset-575	11	12	an	an	DET
ajset-575	11	13	electrodynamic	electrodynamic	ADJ
ajset-575	11	14	effect	effect	NOUN
ajset-575	11	15	on	on	ADP
ajset-575	11	16	physical	physical	ADJ
ajset-575	11	17	processes	process	NOUN
ajset-575	11	18	within	within	ADP
ajset-575	11	19	the	the	DET
ajset-575	11	20	electron	electron	NOUN
ajset-575	11	21	particle	particle	NOUN
ajset-575	11	22	make	make	VERB
ajset-575	11	23	-	-	PUNCT
ajset-575	11	24	up	up	NOUN
ajset-575	11	25	.	.	PUNCT
ajset-575	12	1	lorentz	lorentz	PROPN
ajset-575	12	2	also	also	ADV
ajset-575	12	3	suggested	suggest	VERB
ajset-575	12	4	that	that	SCONJ
ajset-575	12	5	such	such	ADJ
ajset-575	12	6	physical	physical	ADJ
ajset-575	12	7	processes	process	NOUN
ajset-575	12	8	had	have	VERB
ajset-575	12	9	a	a	DET
ajset-575	12	10	cyclical	cyclical	ADJ
ajset-575	12	11	function	function	NOUN
ajset-575	12	12	,	,	PUNCT
ajset-575	12	13	or	or	CCONJ
ajset-575	12	14	local	local	ADJ
ajset-575	12	15	time	time	NOUN
ajset-575	12	16	,	,	PUNCT
ajset-575	12	17	which	which	PRON
ajset-575	12	18	must	must	AUX
ajset-575	12	19	slow	slow	VERB
ajset-575	12	20	down	down	ADP
ajset-575	12	21	or	or	CCONJ
ajset-575	12	22	dilate	dilate	VERB
ajset-575	12	23	in	in	ADP
ajset-575	12	24	conjunction	conjunction	NOUN
ajset-575	12	25	with	with	ADP
ajset-575	12	26	their	their	PRON
ajset-575	12	27	length	length	NOUN
ajset-575	12	28	contraction	contraction	NOUN
ajset-575	12	29	.	.	PUNCT
ajset-575	13	1	however	however	ADV
ajset-575	13	2	,	,	PUNCT
ajset-575	13	3	the	the	DET
ajset-575	13	4	reasons	reason	NOUN
ajset-575	13	5	for	for	ADP
ajset-575	13	6	local	local	ADJ
ajset-575	13	7	time	time	NOUN
ajset-575	13	8	dilation	dilation	NOUN
ajset-575	13	9	and	and	CCONJ
ajset-575	13	10	length	length	NOUN
ajset-575	13	11	contraction	contraction	NOUN
ajset-575	13	12	as	as	SCONJ
ajset-575	13	13	suggested	suggest	VERB
ajset-575	13	14	by	by	ADP
ajset-575	13	15	lorentz	lorentz	PROPN
ajset-575	13	16	required	require	VERB
ajset-575	13	17	a	a	DET
ajset-575	13	18	complicated	complicated	ADJ
ajset-575	13	19	and	and	CCONJ
ajset-575	13	20	unconvincing	unconvincing	ADJ
ajset-575	13	21	model	model	NOUN
ajset-575	13	22	of	of	ADP
ajset-575	13	23	an	an	DET
ajset-575	13	24	electron	electron	NOUN
ajset-575	13	25	to	to	PART
ajset-575	13	26	be	be	AUX
ajset-575	13	27	composed	compose	VERB
ajset-575	13	28	of	of	ADP
ajset-575	13	29	many	many	ADJ
ajset-575	13	30	like	like	ADP
ajset-575	13	31	charges	charge	NOUN
ajset-575	13	32	bound	bind	VERB
ajset-575	13	33	by	by	ADP
ajset-575	13	34	a	a	DET
ajset-575	13	35	nonelectric	nonelectric	ADJ
ajset-575	13	36	force	force	NOUN
ajset-575	13	37	infinitely	infinitely	ADV
ajset-575	13	38	strong	strong	ADJ
ajset-575	13	39	at	at	ADP
ajset-575	13	40	the	the	DET
ajset-575	13	41	centre	centre	NOUN
ajset-575	13	42	.	.	PUNCT
ajset-575	14	1	ironically	ironically	ADV
ajset-575	14	2	,	,	PUNCT
ajset-575	14	3	the	the	DET
ajset-575	14	4	lorentz	lorentz	PROPN
ajset-575	14	5	transformation	transformation	NOUN
ajset-575	14	6	equations	equation	NOUN
ajset-575	14	7	of	of	ADP
ajset-575	14	8	time	time	NOUN
ajset-575	14	9	dilation	dilation	NOUN
ajset-575	14	10	and	and	CCONJ
ajset-575	14	11	length	length	NOUN
ajset-575	14	12	contraction	contraction	NOUN
ajset-575	14	13	survived	survive	VERB
ajset-575	14	14	to	to	PART
ajset-575	14	15	form	form	VERB
ajset-575	14	16	the	the	DET
ajset-575	14	17	basic	basic	ADJ
ajset-575	14	18	math	math	NOUN
ajset-575	14	19	of	of	ADP
ajset-575	14	20	a	a	DET
ajset-575	14	21	much	much	ADV
ajset-575	14	22	more	more	ADV
ajset-575	14	23	acceptable	acceptable	ADJ
ajset-575	14	24	,	,	PUNCT
ajset-575	14	25	although	although	SCONJ
ajset-575	14	26	revolutionary	revolutionary	ADJ
ajset-575	14	27	,	,	PUNCT
ajset-575	14	28	theory	theory	NOUN
ajset-575	14	29	put	put	VERB
ajset-575	14	30	forth	forth	ADP
ajset-575	14	31	by	by	ADP
ajset-575	14	32	albert	albert	PROPN
ajset-575	14	33	e.	e.	PROPN
ajset-575	14	34	einstein	einstein	PROPN
ajset-575	14	35	in	in	ADP
ajset-575	14	36	1904	1904	NUM
ajset-575	14	37	.	.	PUNCT
ajset-575	15	1	albert	albert	PROPN
ajset-575	15	2	e.	e.	PROPN
ajset-575	15	3	einstein	einstein	PROPN
ajset-575	15	4	’s	’s	PART
ajset-575	15	5	special	special	ADJ
ajset-575	15	6	theory	theory	NOUN
ajset-575	15	7	of	of	ADP
ajset-575	15	8	relativity	relativity	NOUN
ajset-575	15	9	was	be	AUX
ajset-575	15	10	much	much	ADV
ajset-575	15	11	more	more	ADV
ajset-575	15	12	acceptable	acceptable	ADJ
ajset-575	15	13	because	because	SCONJ
ajset-575	15	14	it	it	PRON
ajset-575	15	15	was	be	AUX
ajset-575	15	16	simple	simple	ADJ
ajset-575	15	17	and	and	CCONJ
ajset-575	15	18	universally	universally	ADV
ajset-575	15	19	consistent	consistent	ADJ
ajset-575	15	20	.	.	PUNCT
ajset-575	16	1	his	his	PRON
ajset-575	16	2	special	special	ADJ
ajset-575	16	3	theory	theory	NOUN
ajset-575	16	4	stated	state	VERB
ajset-575	16	5	that	that	SCONJ
ajset-575	16	6	all	all	DET
ajset-575	16	7	laws	law	NOUN
ajset-575	16	8	of	of	ADP
ajset-575	16	9	nature	nature	NOUN
ajset-575	16	10	,	,	PUNCT
ajset-575	16	11	including	include	VERB
ajset-575	16	12	mechanical	mechanical	ADJ
ajset-575	16	13	as	as	ADV
ajset-575	16	14	well	well	ADV
ajset-575	16	15	as	as	ADP
ajset-575	16	16	electromagnetic	electromagnetic	ADJ
ajset-575	16	17	field	field	NOUN
ajset-575	16	18	laws	law	NOUN
ajset-575	16	19	,	,	PUNCT
ajset-575	16	20	must	must	AUX
ajset-575	16	21	be	be	AUX
ajset-575	16	22	invariant	invariant	ADJ
ajset-575	16	23	with	with	ADP
ajset-575	16	24	respect	respect	NOUN
ajset-575	16	25	to	to	ADP
ajset-575	16	26	the	the	DET
ajset-575	16	27	lorentz	lorentz	PROPN
ajset-575	16	28	transformations	transformation	NOUN
ajset-575	16	29	.	.	PUNCT
ajset-575	17	1	he	he	PRON
ajset-575	17	2	proved	prove	VERB
ajset-575	17	3	the	the	DET
ajset-575	17	4	consistency	consistency	NOUN
ajset-575	17	5	of	of	ADP
ajset-575	17	6	his	his	PRON
ajset-575	17	7	theory	theory	NOUN
ajset-575	17	8	by	by	ADP
ajset-575	17	9	applying	apply	VERB
ajset-575	17	10	the	the	DET
ajset-575	17	11	principle	principle	NOUN
ajset-575	17	12	of	of	ADP
ajset-575	17	13	equivalence	equivalence	NOUN
ajset-575	17	14	to	to	ADP
ajset-575	17	15	the	the	DET
ajset-575	17	16	special	special	ADJ
ajset-575	17	17	theory	theory	NOUN
ajset-575	17	18	and	and	CCONJ
ajset-575	17	19	created	create	VERB
ajset-575	17	20	his	his	PRON
ajset-575	17	21	general	general	ADJ
ajset-575	17	22	theory	theory	NOUN
ajset-575	17	23	of	of	ADP
ajset-575	17	24	relativity	relativity	NOUN
ajset-575	17	25	,	,	PUNCT
ajset-575	17	26	which	which	PRON
ajset-575	17	27	in	in	ADP
ajset-575	17	28	turn	turn	NOUN
ajset-575	17	29	correctly	correctly	ADV
ajset-575	17	30	predicted	predict	VERB
ajset-575	17	31	the	the	DET
ajset-575	17	32	influence	influence	NOUN
ajset-575	17	33	of	of	ADP
ajset-575	17	34	a	a	DET
ajset-575	17	35	gravitational	gravitational	ADJ
ajset-575	17	36	field	field	NOUN
ajset-575	17	37	on	on	ADP
ajset-575	17	38	light	light	NOUN
ajset-575	17	39	.	.	PUNCT
ajset-575	18	1	also	also	ADV
ajset-575	18	2	in	in	ADP
ajset-575	18	3	1904	1904	NUM
ajset-575	18	4	,	,	PUNCT
ajset-575	18	5	albert	albert	PROPN
ajset-575	18	6	einstein	einstein	PROPN
ajset-575	18	7	demonstrated	demonstrate	VERB
ajset-575	18	8	that	that	SCONJ
ajset-575	18	9	light	light	NOUN
ajset-575	18	10	behaved	behave	VERB
ajset-575	18	11	as	as	ADP
ajset-575	18	12	individual	individual	ADJ
ajset-575	18	13	particle	particle	NOUN
ajset-575	18	14	–	–	PUNCT
ajset-575	18	15	like	like	ADP
ajset-575	18	16	packages	package	NOUN
ajset-575	18	17	of	of	ADP
ajset-575	18	18	energy	energy	NOUN
ajset-575	18	19	called	call	VERB
ajset-575	18	20	photons	photon	NOUN
ajset-575	18	21	in	in	ADP
ajset-575	18	22	order	order	NOUN
ajset-575	18	23	to	to	PART
ajset-575	18	24	explain	explain	VERB
ajset-575	18	25	the	the	DET
ajset-575	18	26	photo	photo	NOUN
ajset-575	18	27	-	-	PUNCT
ajset-575	18	28	electric	electric	ADJ
ajset-575	18	29	effect	effect	NOUN
ajset-575	18	30	.	.	PUNCT
ajset-575	19	1	thus	thus	ADV
ajset-575	19	2	,	,	PUNCT
ajset-575	19	3	in	in	ADP
ajset-575	19	4	a	a	DET
ajset-575	19	5	quasi	quasi	ADJ
ajset-575	19	6	-	-	ADJ
ajset-575	19	7	corpuscular	corpuscular	ADJ
ajset-575	19	8	theory	theory	NOUN
ajset-575	19	9	akin	akin	ADJ
ajset-575	19	10	to	to	ADP
ajset-575	19	11	that	that	PRON
ajset-575	19	12	of	of	ADP
ajset-575	19	13	sir	sir	PROPN
ajset-575	19	14	isaac	isaac	PROPN
ajset-575	19	15	newton	newton	PROPN
ajset-575	19	16	,	,	PUNCT
ajset-575	19	17	einstein	einstein	PROPN
ajset-575	19	18	stated	state	VERB
ajset-575	19	19	that	that	SCONJ
ajset-575	19	20	the	the	DET
ajset-575	19	21	nature	nature	NOUN
ajset-575	19	22	of	of	ADP
ajset-575	19	23	light	light	NOUN
ajset-575	19	24	must	must	AUX
ajset-575	19	25	have	have	VERB
ajset-575	19	26	a	a	DET
ajset-575	19	27	wave	wave	NOUN
ajset-575	19	28	-	-	PUNCT
ajset-575	19	29	particle	particle	NOUN
ajset-575	19	30	duality	duality	NOUN
ajset-575	19	31	.	.	PUNCT
ajset-575	20	1	however	however	ADV
ajset-575	20	2	,	,	PUNCT
ajset-575	20	3	matter	matter	NOUN
ajset-575	20	4	was	be	AUX
ajset-575	20	5	still	still	ADV
ajset-575	20	6	considered	consider	VERB
ajset-575	20	7	to	to	PART
ajset-575	20	8	be	be	AUX
ajset-575	20	9	only	only	ADV
ajset-575	20	10	particle	particle	NOUN
ajset-575	20	11	-	-	PUNCT
ajset-575	20	12	like	like	ADJ
ajset-575	20	13	until	until	ADP
ajset-575	20	14	twenty	twenty	NUM
ajset-575	20	15	years	year	NOUN
ajset-575	20	16	later	later	ADV
ajset-575	20	17	when	when	SCONJ
ajset-575	20	18	louis	louis	PROPN
ajset-575	20	19	de	de	X
ajset-575	20	20	broglie	broglie	PROPN
ajset-575	20	21	suggested	suggest	VERB
ajset-575	20	22	that	that	DET
ajset-575	20	23	matter	matter	NOUN
ajset-575	20	24	as	as	ADV
ajset-575	20	25	well	well	ADV
ajset-575	20	26	as	as	ADP
ajset-575	20	27	light	light	NOUN
ajset-575	20	28	might	might	AUX
ajset-575	20	29	have	have	VERB
ajset-575	20	30	a	a	DET
ajset-575	20	31	dual	dual	ADJ
ajset-575	20	32	,	,	PUNCT
ajset-575	20	33	wave	wave	NOUN
ajset-575	20	34	-	-	PUNCT
ajset-575	20	35	particle	particle	NOUN
ajset-575	20	36	nature	nature	NOUN
ajset-575	20	37	.	.	PUNCT
ajset-575	21	1	both	both	CCONJ
ajset-575	21	2	the	the	DET
ajset-575	21	3	lorentz	lorentz	PROPN
ajset-575	21	4	and	and	CCONJ
ajset-575	21	5	einstein	einstein	PROPN
ajset-575	21	6	interpretations	interpretation	NOUN
ajset-575	21	7	of	of	ADP
ajset-575	21	8	the	the	DET
ajset-575	21	9	michelson	michelson	PROPN
ajset-575	21	10	–	–	PUNCT
ajset-575	21	11	morley	morley	NOUN
ajset-575	21	12	experiment	experiment	NOUN
ajset-575	21	13	required	require	VERB
ajset-575	21	14	that	that	SCONJ
ajset-575	21	15	the	the	DET
ajset-575	21	16	interferometer	interferometer	NOUN
ajset-575	21	17	be	be	AUX
ajset-575	21	18	“	"	PUNCT
ajset-575	21	19	particle	particle	NOUN
ajset-575	21	20	-	-	PUNCT
ajset-575	21	21	like	like	ADJ
ajset-575	21	22	"	"	PUNCT
ajset-575	21	23	only	only	ADV
ajset-575	21	24	.	.	PUNCT
ajset-575	22	1	i	i	PRON
ajset-575	22	2	began	begin	VERB
ajset-575	22	3	to	to	PART
ajset-575	22	4	wonder	wonder	VERB
ajset-575	22	5	how	how	SCONJ
ajset-575	22	6	the	the	DET
ajset-575	22	7	michelson	michelson	PROPN
ajset-575	22	8	morley	morley	PROPN
ajset-575	22	9	experiment	experiment	NOUN
ajset-575	22	10	might	might	AUX
ajset-575	22	11	have	have	AUX
ajset-575	22	12	been	be	AUX
ajset-575	22	13	interpreted	interpret	VERB
ajset-575	22	14	had	have	AUX
ajset-575	22	15	the	the	DET
ajset-575	22	16	dual	dual	ADJ
ajset-575	22	17	,	,	PUNCT
ajset-575	22	18	wave	wave	NOUN
ajset-575	22	19	-	-	PUNCT
ajset-575	22	20	particle	particle	NOUN
ajset-575	22	21	nature	nature	NOUN
ajset-575	22	22	of	of	ADP
ajset-575	22	23	matter	matter	ADV
ajset-575	22	24	been	be	AUX
ajset-575	22	25	established	establish	VERB
ajset-575	22	26	prior	prior	ADV
ajset-575	22	27	to	to	ADP
ajset-575	22	28	this	this	DET
ajset-575	22	29	famous	famous	ADJ
ajset-575	22	30	experiment	experiment	NOUN
ajset-575	22	31	.	.	PUNCT
ajset-575	23	1	furthermore	furthermore	ADV
ajset-575	23	2	,	,	PUNCT
ajset-575	23	3	i	i	PRON
ajset-575	23	4	considered	consider	VERB
ajset-575	23	5	that	that	DET
ajset-575	23	6	matter	matter	NOUN
ajset-575	23	7	might	might	AUX
ajset-575	23	8	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	VERB
ajset-575	23	9	academic	academic	ADJ
ajset-575	23	10	journal	journal	NOUN
ajset-575	23	11	of	of	ADP
ajset-575	23	12	science	science	NOUN
ajset-575	23	13	,	,	PUNCT
ajset-575	23	14	engineering	engineering	NOUN
ajset-575	23	15	and	and	CCONJ
ajset-575	23	16	technology	technology	NOUN
ajset-575	23	17	vol.6	vol.6	PROPN
ajset-575	23	18	,	,	PUNCT
ajset-575	23	19	issue	issue	NOUN
ajset-575	23	20	1	1	NUM
ajset-575	23	21	;	;	PUNCT
ajset-575	23	22	january	january	PROPN
ajset-575	23	23	febuary	febuary	PROPN
ajset-575	23	24	2021	2021	NUM
ajset-575	23	25	;	;	PUNCT
ajset-575	23	26	1252	1252	NUM
ajset-575	23	27	columbia	columbia	PROPN
ajset-575	23	28	rd	rd	PROPN
ajset-575	23	29	nw	nw	PROPN
ajset-575	23	30	,	,	PUNCT
ajset-575	23	31	washington	washington	PROPN
ajset-575	23	32	dc	dc	PROPN
ajset-575	23	33	,	,	PUNCT
ajset-575	23	34	united	united	PROPN
ajset-575	23	35	states	states	PROPN
ajset-575	23	36	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	23	37	;	;	PUNCT
ajset-575	23	38	mail	mail	NOUN
ajset-575	23	39	:	:	PUNCT
ajset-575	23	40	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	23	41	49	49	NUM
ajset-575	24	1	|	|	ADV
ajset-575	24	2	a	a	DET
ajset-575	24	3	c	c	NOUN
ajset-575	24	4	a	a	PRON
ajset-575	24	5	d	d	X
ajset-575	24	6	e	e	NOUN
ajset-575	24	7	m	m	NOUN
ajset-575	24	8	i	i	NOUN
ajset-575	24	9	c	c	NOUN
ajset-575	24	10	j	j	NOUN
ajset-575	24	11	o	o	X
ajset-575	24	12	u	u	NOUN
ajset-575	24	13	r	r	NOUN
ajset-575	24	14	n	n	NOUN
ajset-575	24	15	a	a	DET
ajset-575	24	16	l	l	NOUN
ajset-575	25	1	o	o	X
ajset-575	25	2	f	f	X
ajset-575	25	3	s	s	X
ajset-575	25	4	c	c	NOUN
ajset-575	26	1	i	i	NOUN
ajset-575	26	2	e	e	PROPN
ajset-575	26	3	n	n	PROPN
ajset-575	26	4	c	c	NOUN
ajset-575	26	5	e	e	X
ajset-575	26	6	,	,	PUNCT
ajset-575	26	7	e	e	PROPN
ajset-575	26	8	n	n	PRON
ajset-575	26	9	g	g	NOUN
ajset-575	26	10	i	i	PRON
ajset-575	26	11	n	n	VERB
ajset-575	26	12	e	e	NOUN
ajset-575	26	13	e	e	NOUN
ajset-575	26	14	r	r	VERB
ajset-575	26	15	i	i	PRON
ajset-575	26	16	n	n	CCONJ
ajset-575	26	17	g	g	PROPN
ajset-575	26	18	a	a	DET
ajset-575	26	19	n	n	NOUN
ajset-575	26	20	d	d	NOUN
ajset-575	26	21	t	t	NOUN
ajset-575	26	22	e	e	X
ajset-575	26	23	c	c	NOUN
ajset-575	26	24	h	h	NOUN
ajset-575	26	25	n	n	ADV
ajset-575	26	26	o	o	NOUN
ajset-575	26	27	l	l	NOUN
ajset-575	27	1	o	o	X
ajset-575	27	2	g	g	NOUN
ajset-575	27	3	y	y	PROPN
ajset-575	27	4	|	|	ADV
ajset-575	27	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	NOUN
ajset-575	27	6	simply	simply	ADV
ajset-575	27	7	be	be	AUX
ajset-575	27	8	a	a	DET
ajset-575	27	9	localized	localized	ADJ
ajset-575	27	10	wave	wave	NOUN
ajset-575	27	11	and	and	CCONJ
ajset-575	27	12	that	that	SCONJ
ajset-575	27	13	its	its	PRON
ajset-575	27	14	particle	particle	NOUN
ajset-575	27	15	-	-	PUNCT
ajset-575	27	16	like	like	ADJ
ajset-575	27	17	nature	nature	NOUN
ajset-575	27	18	is	be	AUX
ajset-575	27	19	simply	simply	ADV
ajset-575	27	20	a	a	DET
ajset-575	27	21	phenomenon	phenomenon	NOUN
ajset-575	27	22	derived	derive	VERB
ajset-575	27	23	of	of	ADP
ajset-575	27	24	its	its	PRON
ajset-575	27	25	localization.according	localization.according	NOUN
ajset-575	27	26	to	to	ADP
ajset-575	27	27	einstein	einstein	PROPN
ajset-575	27	28	’s	’s	PART
ajset-575	27	29	definition	definition	NOUN
ajset-575	27	30	of	of	ADP
ajset-575	27	31	simultaneity	simultaneity	NOUN
ajset-575	27	32	there	there	PRON
ajset-575	27	33	is	be	VERB
ajset-575	27	34	no	no	DET
ajset-575	27	35	need	need	NOUN
ajset-575	27	36	for	for	ADP
ajset-575	27	37	a	a	DET
ajset-575	27	38	physical	physical	ADJ
ajset-575	27	39	length	length	NOUN
ajset-575	27	40	contraction	contraction	NOUN
ajset-575	27	41	of	of	ADP
ajset-575	27	42	the	the	DET
ajset-575	27	43	michelson	michelson	PROPN
ajset-575	27	44	–	–	PUNCT
ajset-575	27	45	morley	morley	NOUN
ajset-575	27	46	interferometer	interferometer	NOUN
ajset-575	27	47	.	.	PUNCT
ajset-575	28	1	however	however	ADV
ajset-575	28	2	,	,	PUNCT
ajset-575	28	3	if	if	SCONJ
ajset-575	28	4	as	as	SCONJ
ajset-575	28	5	lorentz	lorentz	PROPN
ajset-575	28	6	contended	contend	VERB
ajset-575	28	7	,	,	PUNCT
ajset-575	28	8	the	the	DET
ajset-575	28	9	length	length	NOUN
ajset-575	28	10	of	of	ADP
ajset-575	28	11	the	the	DET
ajset-575	28	12	interferometer	interferometer	NOUN
ajset-575	28	13	did	do	AUX
ajset-575	28	14	indeed	indeed	ADV
ajset-575	28	15	contract	contract	VERB
ajset-575	28	16	in	in	ADP
ajset-575	28	17	the	the	DET
ajset-575	28	18	direction	direction	NOUN
ajset-575	28	19	of	of	ADP
ajset-575	28	20	its	its	PRON
ajset-575	28	21	motion	motion	NOUN
ajset-575	28	22	,	,	PUNCT
ajset-575	28	23	then	then	ADV
ajset-575	28	24	there	there	PRON
ajset-575	28	25	could	could	AUX
ajset-575	28	26	not	not	PART
ajset-575	28	27	be	be	AUX
ajset-575	28	28	any	any	DET
ajset-575	28	29	fringe	fringe	NOUN
ajset-575	28	30	shift	shift	NOUN
ajset-575	28	31	detected	detect	VERB
ajset-575	28	32	on	on	ADP
ajset-575	28	33	the	the	DET
ajset-575	28	34	interferometer	interferometer	NOUN
ajset-575	28	35	and	and	CCONJ
ajset-575	28	36	real	real	ADJ
ajset-575	28	37	time	time	NOUN
ajset-575	28	38	could	could	AUX
ajset-575	28	39	remain	remain	VERB
ajset-575	28	40	constant	constant	ADJ
ajset-575	28	41	.	.	PUNCT
ajset-575	29	1	one	one	PRON
ajset-575	29	2	could	could	AUX
ajset-575	29	3	disagree	disagree	VERB
ajset-575	29	4	with	with	ADP
ajset-575	29	5	einstein	einstein	PROPN
ajset-575	29	6	’s	’s	PART
ajset-575	29	7	assumption	assumption	NOUN
ajset-575	29	8	that	that	SCONJ
ajset-575	29	9	his	his	PRON
ajset-575	29	10	operational	operational	ADJ
ajset-575	29	11	definition	definition	NOUN
ajset-575	29	12	of	of	ADP
ajset-575	29	13	simultaneity	simultaneity	NOUN
ajset-575	29	14	is	be	AUX
ajset-575	29	15	valid	valid	ADJ
ajset-575	29	16	in	in	ADP
ajset-575	29	17	any	any	DET
ajset-575	29	18	inertial	inertial	ADJ
ajset-575	29	19	reference	reference	NOUN
ajset-575	29	20	frame	frame	NOUN
ajset-575	29	21	and	and	CCONJ
ajset-575	29	22	revert	revert	VERB
ajset-575	29	23	back	back	ADV
ajset-575	29	24	to	to	ADP
ajset-575	29	25	the	the	DET
ajset-575	29	26	nineteenth	nineteenth	ADJ
ajset-575	29	27	century	century	NOUN
ajset-575	29	28	classical	classical	ADJ
ajset-575	29	29	view	view	NOUN
ajset-575	29	30	of	of	ADP
ajset-575	29	31	light	light	NOUN
ajset-575	29	32	which	which	PRON
ajset-575	29	33	accepts	accept	VERB
ajset-575	29	34	such	such	DET
ajset-575	29	35	a	a	DET
ajset-575	29	36	definition	definition	NOUN
ajset-575	29	37	as	as	ADP
ajset-575	29	38	“	"	PUNCT
ajset-575	29	39	valid	valid	ADJ
ajset-575	29	40	only	only	ADV
ajset-575	29	41	in	in	ADP
ajset-575	29	42	the	the	DET
ajset-575	29	43	rest	rest	NOUN
ajset-575	29	44	frame	frame	NOUN
ajset-575	29	45	of	of	ADP
ajset-575	29	46	ether	ether	NOUN
ajset-575	29	47	”	"	PUNCT
ajset-575	29	48	(	(	PUNCT
ajset-575	29	49	em	em	PRON
ajset-575	29	50	vacuum	vacuum	NOUN
ajset-575	29	51	field	field	PROPN
ajset-575	29	52	)	)	PUNCT
ajset-575	29	53	.	.	PUNCT
ajset-575	30	1	my	my	PRON
ajset-575	30	2	alternative	alternative	ADJ
ajset-575	30	3	conclusion	conclusion	NOUN
ajset-575	30	4	about	about	ADP
ajset-575	30	5	the	the	DET
ajset-575	30	6	experiment	experiment	NOUN
ajset-575	30	7	,	,	PUNCT
ajset-575	30	8	coupled	couple	VERB
ajset-575	30	9	with	with	ADP
ajset-575	30	10	the	the	DET
ajset-575	30	11	fact	fact	NOUN
ajset-575	30	12	that	that	SCONJ
ajset-575	30	13	matter	matter	NOUN
ajset-575	30	14	is	be	AUX
ajset-575	30	15	localized	localized	ADJ
ajset-575	30	16	energy	energy	NOUN
ajset-575	30	17	and	and	CCONJ
ajset-575	30	18	that	that	SCONJ
ajset-575	30	19	energy	energy	NOUN
ajset-575	30	20	in	in	ADP
ajset-575	30	21	the	the	DET
ajset-575	30	22	form	form	NOUN
ajset-575	30	23	of	of	ADP
ajset-575	30	24	electromagnetic	electromagnetic	ADJ
ajset-575	30	25	waves	wave	NOUN
ajset-575	30	26	is	be	AUX
ajset-575	30	27	indeed	indeed	ADV
ajset-575	30	28	transmitted	transmit	VERB
ajset-575	30	29	as	as	ADP
ajset-575	30	30	light	light	NOUN
ajset-575	30	31	,	,	PUNCT
ajset-575	30	32	compelled	compel	VERB
ajset-575	30	33	me	i	PRON
ajset-575	30	34	to	to	PART
ajset-575	30	35	find	find	VERB
ajset-575	30	36	a	a	DET
ajset-575	30	37	basic	basic	ADJ
ajset-575	30	38	form	form	NOUN
ajset-575	30	39	of	of	ADP
ajset-575	30	40	matter	matter	NOUN
ajset-575	30	41	:	:	PUNCT
ajset-575	30	42	a	a	DET
ajset-575	30	43	particle	particle	NOUN
ajset-575	30	44	equivalent	equivalent	ADJ
ajset-575	30	45	to	to	ADP
ajset-575	30	46	a	a	DET
ajset-575	30	47	localized	localize	VERB
ajset-575	30	48	electromagnetic	electromagnetic	ADJ
ajset-575	30	49	wave	wave	NOUN
ajset-575	30	50	with	with	ADP
ajset-575	30	51	an	an	DET
ajset-575	30	52	innate	innate	ADJ
ajset-575	30	53	time	time	NOUN
ajset-575	30	54	cycle	cycle	NOUN
ajset-575	30	55	that	that	PRON
ajset-575	30	56	would	would	AUX
ajset-575	30	57	explain	explain	VERB
ajset-575	30	58	the	the	DET
ajset-575	30	59	fact	fact	NOUN
ajset-575	30	60	of	of	ADP
ajset-575	30	61	time	time	NOUN
ajset-575	30	62	dilation	dilation	NOUN
ajset-575	30	63	and	and	CCONJ
ajset-575	30	64	a	a	DET
ajset-575	30	65	configuration	configuration	NOUN
ajset-575	30	66	that	that	PRON
ajset-575	30	67	would	would	AUX
ajset-575	30	68	require	require	VERB
ajset-575	30	69	its	its	PRON
ajset-575	30	70	own	own	ADJ
ajset-575	30	71	physical	physical	ADJ
ajset-575	30	72	length	length	NOUN
ajset-575	30	73	contraction	contraction	NOUN
ajset-575	30	74	.	.	PUNCT
ajset-575	31	1	most	most	ADJ
ajset-575	31	2	other	other	ADJ
ajset-575	31	3	forms	form	NOUN
ajset-575	31	4	of	of	ADP
ajset-575	31	5	matter	matter	NOUN
ajset-575	31	6	that	that	PRON
ajset-575	31	7	arise	arise	VERB
ajset-575	31	8	out	out	ADP
ajset-575	31	9	of	of	ADP
ajset-575	31	10	the	the	DET
ajset-575	31	11	em	em	PROPN
ajset-575	31	12	vacuum	vacuum	NOUN
ajset-575	31	13	field	field	NOUN
ajset-575	31	14	would	would	AUX
ajset-575	31	15	only	only	ADV
ajset-575	31	16	be	be	AUX
ajset-575	31	17	variations	variation	NOUN
ajset-575	31	18	or	or	CCONJ
ajset-575	31	19	further	further	ADJ
ajset-575	31	20	developments	development	NOUN
ajset-575	31	21	in	in	ADP
ajset-575	31	22	the	the	DET
ajset-575	31	23	evolution	evolution	NOUN
ajset-575	31	24	of	of	ADP
ajset-575	31	25	this	this	DET
ajset-575	31	26	principle	principle	ADJ
ajset-575	31	27	form	form	NOUN
ajset-575	31	28	of	of	ADP
ajset-575	31	29	matter	matter	NOUN
ajset-575	31	30	which	which	PRON
ajset-575	31	31	is	be	AUX
ajset-575	31	32	from	from	ADP
ajset-575	31	33	hereon	hereon	NOUN
ajset-575	31	34	referred	refer	VERB
ajset-575	31	35	to	to	ADP
ajset-575	31	36	as	as	ADP
ajset-575	31	37	the	the	DET
ajset-575	31	38	rotating	rotate	VERB
ajset-575	31	39	wave	wave	NOUN
ajset-575	31	40	(	(	PUNCT
ajset-575	31	41	or	or	CCONJ
ajset-575	31	42	rw	rw	NOUN
ajset-575	31	43	for	for	ADP
ajset-575	31	44	short	short	ADJ
ajset-575	31	45	)	)	PUNCT
ajset-575	31	46	.	.	PUNCT
ajset-575	32	1	the	the	DET
ajset-575	32	2	em	em	PROPN
ajset-575	32	3	vacuum	vacuum	NOUN
ajset-575	32	4	field	field	NOUN
ajset-575	32	5	is	be	AUX
ajset-575	32	6	here	here	ADV
ajset-575	32	7	stated	state	VERB
ajset-575	32	8	as	as	ADP
ajset-575	32	9	a	a	DET
ajset-575	32	10	universal	universal	ADJ
ajset-575	32	11	reference	reference	NOUN
ajset-575	32	12	frame	frame	NOUN
ajset-575	32	13	only	only	ADV
ajset-575	32	14	to	to	ADP
ajset-575	32	15	a	a	DET
ajset-575	32	16	degree	degree	NOUN
ajset-575	32	17	of	of	ADP
ajset-575	32	18	which	which	PRON
ajset-575	32	19	our	our	PRON
ajset-575	32	20	perception	perception	NOUN
ajset-575	32	21	is	be	AUX
ajset-575	32	22	capable	capable	ADJ
ajset-575	32	23	.	.	PUNCT
ajset-575	33	1	the	the	DET
ajset-575	33	2	intent	intent	NOUN
ajset-575	33	3	of	of	ADP
ajset-575	33	4	this	this	DET
ajset-575	33	5	work	work	NOUN
ajset-575	33	6	is	be	AUX
ajset-575	33	7	,	,	PUNCT
ajset-575	33	8	therefore	therefore	ADV
ajset-575	33	9	,	,	PUNCT
ajset-575	33	10	to	to	PART
ajset-575	33	11	explain	explain	VERB
ajset-575	33	12	by	by	ADP
ajset-575	33	13	the	the	DET
ajset-575	33	14	em	em	PROPN
ajset-575	33	15	vacuum	vacuum	NOUN
ajset-575	33	16	field	field	NOUN
ajset-575	33	17	,	,	PUNCT
ajset-575	33	18	the	the	DET
ajset-575	33	19	creation	creation	NOUN
ajset-575	33	20	of	of	ADP
ajset-575	33	21	the	the	DET
ajset-575	33	22	principle	principle	ADJ
ajset-575	33	23	form	form	NOUN
ajset-575	33	24	of	of	ADP
ajset-575	33	25	matter	matter	NOUN
ajset-575	33	26	and	and	CCONJ
ajset-575	33	27	the	the	DET
ajset-575	33	28	phenomena	phenomenon	NOUN
ajset-575	33	29	of	of	ADP
ajset-575	33	30	relativity	relativity	NOUN
ajset-575	33	31	,	,	PUNCT
ajset-575	33	32	gravity	gravity	NOUN
ajset-575	33	33	,	,	PUNCT
ajset-575	33	34	and	and	CCONJ
ajset-575	33	35	quantum	quantum	NOUN
ajset-575	33	36	mechanics	mechanic	NOUN
ajset-575	33	37	beginning	begin	VERB
ajset-575	33	38	with	with	ADP
ajset-575	33	39	two	two	NUM
ajset-575	33	40	postulates	postulate	NOUN
ajset-575	33	41	which	which	PRON
ajset-575	33	42	compare	compare	VERB
ajset-575	33	43	with	with	ADP
ajset-575	33	44	those	those	PRON
ajset-575	33	45	of	of	ADP
ajset-575	33	46	einstein	einstein	PROPN
ajset-575	33	47	’s	’s	PART
ajset-575	33	48	theory	theory	NOUN
ajset-575	33	49	as	as	SCONJ
ajset-575	33	50	rephrased	rephrase	VERB
ajset-575	33	51	by	by	ADP
ajset-575	33	52	casper	casper	NOUN
ajset-575	33	53	and	and	CCONJ
ajset-575	33	54	noer	noer	NOUN
ajset-575	33	55	in	in	ADP
ajset-575	33	56	the	the	DET
ajset-575	33	57	evolution	evolution	NOUN
ajset-575	33	58	of	of	ADP
ajset-575	33	59	physics	physics	NOUN
ajset-575	33	60	on	on	ADP
ajset-575	33	61	p.	p.	PROPN
ajset-575	33	62	330	330	NUM
ajset-575	33	63	:	:	PUNCT
ajset-575	33	64	i.	i.	NOUN
ajset-575	33	65	the	the	DET
ajset-575	33	66	principle	principle	NOUN
ajset-575	33	67	of	of	ADP
ajset-575	33	68	relativity	relativity	NOUN
ajset-575	33	69	according	accord	VERB
ajset-575	33	70	to	to	ADP
ajset-575	33	71	the	the	DET
ajset-575	33	72	rotating	rotate	VERB
ajset-575	33	73	wave	wave	NOUN
ajset-575	33	74	:	:	PUNCT
ajset-575	33	75	no	no	DET
ajset-575	33	76	physical	physical	ADJ
ajset-575	33	77	measurement	measurement	NOUN
ajset-575	33	78	can	can	AUX
ajset-575	33	79	distinguish	distinguish	VERB
ajset-575	33	80	one	one	NUM
ajset-575	33	81	inertial	inertial	ADJ
ajset-575	33	82	reference	reference	NOUN
ajset-575	33	83	frame	frame	NOUN
ajset-575	33	84	from	from	ADP
ajset-575	33	85	any	any	DET
ajset-575	33	86	other	other	ADJ
ajset-575	33	87	inertial	inertial	ADJ
ajset-575	33	88	reference	reference	NOUN
ajset-575	33	89	frame	frame	NOUN
ajset-575	33	90	because	because	SCONJ
ajset-575	33	91	such	such	ADJ
ajset-575	33	92	distinction	distinction	NOUN
ajset-575	33	93	is	be	AUX
ajset-575	33	94	obviated	obviate	VERB
ajset-575	33	95	by	by	ADP
ajset-575	33	96	changes	change	NOUN
ajset-575	33	97	in	in	ADP
ajset-575	33	98	the	the	DET
ajset-575	33	99	actual	actual	ADJ
ajset-575	33	100	physical	physical	ADJ
ajset-575	33	101	time	time	NOUN
ajset-575	33	102	cycle	cycle	NOUN
ajset-575	33	103	,	,	PUNCT
ajset-575	33	104	length	length	NOUN
ajset-575	33	105	,	,	PUNCT
ajset-575	33	106	and	and	CCONJ
ajset-575	33	107	mass	mass	NOUN
ajset-575	33	108	of	of	ADP
ajset-575	33	109	a	a	DET
ajset-575	33	110	particle	particle	NOUN
ajset-575	33	111	with	with	ADP
ajset-575	33	112	respect	respect	NOUN
ajset-575	33	113	to	to	ADP
ajset-575	33	114	that	that	DET
ajset-575	33	115	particle	particle	NOUN
ajset-575	33	116	’s	’s	PART
ajset-575	33	117	motion	motion	NOUN
ajset-575	33	118	relative	relative	ADJ
ajset-575	33	119	to	to	ADP
ajset-575	33	120	the	the	DET
ajset-575	33	121	stationary	stationary	NOUN
ajset-575	33	122	,	,	PUNCT
ajset-575	33	123	em	em	PRON
ajset-575	33	124	vacuum	vacuum	NOUN
ajset-575	33	125	field	field	NOUN
ajset-575	33	126	.	.	PUNCT
ajset-575	34	1	such	such	ADJ
ajset-575	34	2	changes	change	NOUN
ajset-575	34	3	are	be	AUX
ajset-575	34	4	illustrated	illustrate	VERB
ajset-575	34	5	by	by	ADP
ajset-575	34	6	the	the	DET
ajset-575	34	7	rotating	rotate	VERB
ajset-575	34	8	wave	wave	NOUN
ajset-575	34	9	.	.	PUNCT
ajset-575	35	1	ii	ii	PROPN
ajset-575	35	2	.	.	PUNCT
ajset-575	36	1	independent	independent	ADJ
ajset-575	36	2	of	of	ADP
ajset-575	36	3	the	the	DET
ajset-575	36	4	motion	motion	NOUN
ajset-575	36	5	of	of	ADP
ajset-575	36	6	the	the	DET
ajset-575	36	7	light	light	ADJ
ajset-575	36	8	source	source	NOUN
ajset-575	36	9	,	,	PUNCT
ajset-575	36	10	only	only	ADV
ajset-575	36	11	wave	wave	VERB
ajset-575	36	12	fronts	front	NOUN
ajset-575	36	13	of	of	ADP
ajset-575	36	14	light	light	NOUN
ajset-575	36	15	which	which	PRON
ajset-575	36	16	proceed	proceed	VERB
ajset-575	36	17	in	in	ADP
ajset-575	36	18	a	a	DET
ajset-575	36	19	straight	straight	ADJ
ajset-575	36	20	line	line	NOUN
ajset-575	36	21	with	with	ADP
ajset-575	36	22	respect	respect	NOUN
ajset-575	36	23	to	to	ADP
ajset-575	36	24	a	a	DET
ajset-575	36	25	euclidean	euclidean	ADJ
ajset-575	36	26	universal	universal	ADJ
ajset-575	36	27	reference	reference	NOUN
ajset-575	36	28	frame	frame	NOUN
ajset-575	36	29	(	(	PUNCT
ajset-575	36	30	defined	define	VERB
ajset-575	36	31	by	by	ADP
ajset-575	36	32	the	the	DET
ajset-575	36	33	stationary	stationary	NOUN
ajset-575	36	34	em	em	PRON
ajset-575	36	35	vacuum	vacuum	NOUN
ajset-575	36	36	field	field	NOUN
ajset-575	36	37	)	)	PUNCT
ajset-575	36	38	always	always	ADV
ajset-575	36	39	propagate	propagate	VERB
ajset-575	36	40	in	in	ADP
ajset-575	36	41	empty	empty	ADJ
ajset-575	36	42	space	space	NOUN
ajset-575	36	43	(	(	PUNCT
ajset-575	36	44	the	the	DET
ajset-575	36	45	vacuum	vacuum	NOUN
ajset-575	36	46	state	state	NOUN
ajset-575	36	47	of	of	ADP
ajset-575	36	48	the	the	DET
ajset-575	36	49	em	em	PROPN
ajset-575	36	50	field	field	NOUN
ajset-575	36	51	)	)	PUNCT
ajset-575	36	52	with	with	ADP
ajset-575	36	53	a	a	DET
ajset-575	36	54	definite	definite	ADJ
ajset-575	36	55	velocity	velocity	NOUN
ajset-575	36	56	c	c	NOUN
ajset-575	36	57	relative	relative	ADJ
ajset-575	36	58	to	to	ADP
ajset-575	36	59	that	that	DET
ajset-575	36	60	universal	universal	ADJ
ajset-575	36	61	reference	reference	NOUN
ajset-575	36	62	frame	frame	NOUN
ajset-575	36	63	.	.	PUNCT
ajset-575	37	1	other	other	ADJ
ajset-575	37	2	wave	wave	NOUN
ajset-575	37	3	fronts	front	NOUN
ajset-575	37	4	which	which	PRON
ajset-575	37	5	do	do	AUX
ajset-575	37	6	not	not	PART
ajset-575	37	7	proceed	proceed	VERB
ajset-575	37	8	in	in	ADP
ajset-575	37	9	a	a	DET
ajset-575	37	10	straight	straight	ADJ
ajset-575	37	11	line	line	NOUN
ajset-575	37	12	,	,	PUNCT
ajset-575	37	13	propagate	propagate	VERB
ajset-575	37	14	with	with	ADP
ajset-575	37	15	an	an	DET
ajset-575	37	16	angular	angular	ADJ
ajset-575	37	17	velocity	velocity	NOUN
ajset-575	37	18	such	such	ADJ
ajset-575	37	19	that	that	SCONJ
ajset-575	37	20	all	all	DET
ajset-575	37	21	wave	wave	NOUN
ajset-575	37	22	fronts	front	NOUN
ajset-575	37	23	remain	remain	VERB
ajset-575	37	24	planar	planar	ADJ
ajset-575	37	25	.	.	PUNCT
ajset-575	38	1	from	from	ADP
ajset-575	38	2	the	the	DET
ajset-575	38	3	two	two	NUM
ajset-575	38	4	postulates	postulate	NOUN
ajset-575	38	5	above	above	ADV
ajset-575	38	6	,	,	PUNCT
ajset-575	38	7	i	i	PRON
ajset-575	38	8	can	can	AUX
ajset-575	38	9	simply	simply	ADV
ajset-575	38	10	state	state	VERB
ajset-575	38	11	that	that	SCONJ
ajset-575	38	12	the	the	DET
ajset-575	38	13	null	null	ADJ
ajset-575	38	14	result	result	NOUN
ajset-575	38	15	of	of	ADP
ajset-575	38	16	the	the	DET
ajset-575	38	17	michelsonmorley	michelsonmorley	NOUN
ajset-575	38	18	experiment	experiment	NOUN
ajset-575	38	19	is	be	AUX
ajset-575	38	20	due	due	ADJ
ajset-575	38	21	to	to	ADP
ajset-575	38	22	an	an	DET
ajset-575	38	23	actual	actual	ADJ
ajset-575	38	24	physical	physical	ADJ
ajset-575	38	25	length	length	NOUN
ajset-575	38	26	contraction	contraction	NOUN
ajset-575	38	27	of	of	ADP
ajset-575	38	28	the	the	DET
ajset-575	38	29	interferometer	interferometer	NOUN
ajset-575	38	30	in	in	ADP
ajset-575	38	31	the	the	DET
ajset-575	38	32	direction	direction	NOUN
ajset-575	38	33	of	of	ADP
ajset-575	38	34	its	its	PRON
ajset-575	38	35	motion	motion	NOUN
ajset-575	38	36	.	.	PUNCT
ajset-575	39	1	the	the	DET
ajset-575	39	2	actual	actual	ADJ
ajset-575	39	3	physical	physical	ADJ
ajset-575	39	4	time	time	NOUN
ajset-575	39	5	cycle	cycle	NOUN
ajset-575	39	6	of	of	ADP
ajset-575	39	7	the	the	DET
ajset-575	39	8	whole	whole	ADJ
ajset-575	39	9	interferometer	interferometer	NOUN
ajset-575	39	10	apparatus	apparatus	NOUN
ajset-575	39	11	slows	slow	VERB
ajset-575	39	12	down	down	ADP
ajset-575	39	13	in	in	ADP
ajset-575	39	14	unison	unison	NOUN
ajset-575	39	15	and	and	CCONJ
ajset-575	39	16	therefore	therefore	ADV
ajset-575	39	17	time	time	NOUN
ajset-575	39	18	is	be	AUX
ajset-575	39	19	not	not	PART
ajset-575	39	20	the	the	DET
ajset-575	39	21	culprit	culprit	NOUN
ajset-575	39	22	.	.	PUNCT
ajset-575	40	1	the	the	DET
ajset-575	40	2	two	two	NUM
ajset-575	40	3	postulates	postulate	NOUN
ajset-575	40	4	above	above	ADV
ajset-575	40	5	also	also	ADV
ajset-575	40	6	provide	provide	VERB
ajset-575	40	7	an	an	DET
ajset-575	40	8	explanation	explanation	NOUN
ajset-575	40	9	to	to	ADP
ajset-575	40	10	the	the	DET
ajset-575	40	11	outcome	outcome	NOUN
ajset-575	40	12	of	of	ADP
ajset-575	40	13	another	another	DET
ajset-575	40	14	experiment	experiment	NOUN
ajset-575	40	15	:	:	PUNCT
ajset-575	40	16	the	the	DET
ajset-575	40	17	low	low	ADJ
ajset-575	40	18	rate	rate	NOUN
ajset-575	40	19	of	of	ADP
ajset-575	40	20	decay	decay	NOUN
ajset-575	40	21	of	of	ADP
ajset-575	40	22	mesons	meson	NOUN
ajset-575	40	23	entering	enter	VERB
ajset-575	40	24	the	the	DET
ajset-575	40	25	earth	earth	NOUN
ajset-575	40	26	’s	’s	PART
ajset-575	40	27	atmosphere	atmosphere	NOUN
ajset-575	40	28	is	be	AUX
ajset-575	40	29	due	due	ADJ
ajset-575	40	30	to	to	ADP
ajset-575	40	31	a	a	DET
ajset-575	40	32	combination	combination	NOUN
ajset-575	40	33	of	of	ADP
ajset-575	40	34	some	some	DET
ajset-575	40	35	degree	degree	NOUN
ajset-575	40	36	of	of	ADP
ajset-575	40	37	actual	actual	ADJ
ajset-575	40	38	physical	physical	ADJ
ajset-575	40	39	length	length	NOUN
ajset-575	40	40	contraction	contraction	NOUN
ajset-575	40	41	of	of	ADP
ajset-575	40	42	the	the	DET
ajset-575	40	43	earth	earth	NOUN
ajset-575	40	44	’s	’s	PART
ajset-575	40	45	atmosphere	atmosphere	NOUN
ajset-575	40	46	and	and	CCONJ
ajset-575	40	47	some	some	DET
ajset-575	40	48	degree	degree	NOUN
ajset-575	40	49	of	of	ADP
ajset-575	40	50	actual	actual	ADJ
ajset-575	40	51	physical	physical	ADJ
ajset-575	40	52	slowing	slowing	NOUN
ajset-575	40	53	of	of	ADP
ajset-575	40	54	the	the	DET
ajset-575	40	55	time	time	NOUN
ajset-575	40	56	cycle	cycle	NOUN
ajset-575	40	57	decay	decay	NOUN
ajset-575	40	58	of	of	ADP
ajset-575	40	59	mesons	meson	NOUN
ajset-575	40	60	.	.	PUNCT
ajset-575	41	1	2	2	X
ajset-575	41	2	.	.	X
ajset-575	41	3	the	the	DET
ajset-575	41	4	electron	electron	NOUN
ajset-575	41	5	as	as	ADP
ajset-575	41	6	a	a	DET
ajset-575	41	7	basic	basic	ADJ
ajset-575	41	8	form	form	NOUN
ajset-575	41	9	of	of	ADP
ajset-575	41	10	matter	matter	NOUN
ajset-575	41	11	the	the	DET
ajset-575	41	12	electron	electron	NOUN
ajset-575	41	13	and	and	CCONJ
ajset-575	41	14	its	its	PRON
ajset-575	41	15	antiparticle	antiparticle	NOUN
ajset-575	41	16	,	,	PUNCT
ajset-575	41	17	the	the	DET
ajset-575	41	18	positron	positron	NOUN
ajset-575	41	19	,	,	PUNCT
ajset-575	41	20	elegantly	elegantly	ADV
ajset-575	41	21	fit	fit	VERB
ajset-575	41	22	the	the	DET
ajset-575	41	23	requirements	requirement	NOUN
ajset-575	41	24	of	of	ADP
ajset-575	41	25	this	this	DET
ajset-575	41	26	basic	basic	ADJ
ajset-575	41	27	form	form	NOUN
ajset-575	41	28	of	of	ADP
ajset-575	41	29	matter	matter	NOUN
ajset-575	41	30	.	.	PUNCT
ajset-575	42	1	the	the	DET
ajset-575	42	2	electron	electron	NOUN
ajset-575	42	3	rw	rw	NOUN
ajset-575	42	4	complies	complie	NOUN
ajset-575	42	5	with	with	ADP
ajset-575	42	6	the	the	DET
ajset-575	42	7	universal	universal	ADJ
ajset-575	42	8	laws	law	NOUN
ajset-575	42	9	of	of	ADP
ajset-575	42	10	electromagnetism	electromagnetism	NOUN
ajset-575	42	11	and	and	CCONJ
ajset-575	42	12	the	the	DET
ajset-575	42	13	previous	previous	ADJ
ajset-575	42	14	two	two	NUM
ajset-575	42	15	postulates	postulate	NOUN
ajset-575	42	16	.	.	PUNCT
ajset-575	43	1	by	by	ADP
ajset-575	43	2	doing	do	VERB
ajset-575	43	3	so	so	ADV
ajset-575	43	4	,	,	PUNCT
ajset-575	43	5	it	it	PRON
ajset-575	43	6	inherently	inherently	ADV
ajset-575	43	7	explains	explain	VERB
ajset-575	43	8	relativity	relativity	NOUN
ajset-575	43	9	,	,	PUNCT
ajset-575	43	10	mass	mass	ADJ
ajset-575	43	11	,	,	PUNCT
ajset-575	43	12	and	and	CCONJ
ajset-575	43	13	quantum	quantum	NOUN
ajset-575	43	14	mechanics	mechanic	NOUN
ajset-575	43	15	.	.	PUNCT
ajset-575	44	1	according	accord	VERB
ajset-575	44	2	to	to	ADP
ajset-575	44	3	the	the	DET
ajset-575	44	4	electromagnetic	electromagnetic	ADJ
ajset-575	44	5	theory	theory	NOUN
ajset-575	44	6	of	of	ADP
ajset-575	44	7	light	light	NOUN
ajset-575	44	8	,	,	PUNCT
ajset-575	44	9	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	44	10	academic	academic	ADJ
ajset-575	44	11	journal	journal	NOUN
ajset-575	44	12	of	of	ADP
ajset-575	44	13	science	science	NOUN
ajset-575	44	14	,	,	PUNCT
ajset-575	44	15	engineering	engineering	NOUN
ajset-575	44	16	and	and	CCONJ
ajset-575	44	17	technology	technology	NOUN
ajset-575	44	18	vol.6	vol.6	PROPN
ajset-575	44	19	,	,	PUNCT
ajset-575	44	20	issue	issue	NOUN
ajset-575	44	21	1	1	NUM
ajset-575	44	22	;	;	PUNCT
ajset-575	44	23	january	january	PROPN
ajset-575	44	24	febuary	febuary	PROPN
ajset-575	44	25	2021	2021	NUM
ajset-575	44	26	;	;	PUNCT
ajset-575	44	27	1252	1252	NUM
ajset-575	44	28	columbia	columbia	PROPN
ajset-575	44	29	rd	rd	PROPN
ajset-575	44	30	nw	nw	PROPN
ajset-575	44	31	,	,	PUNCT
ajset-575	44	32	washington	washington	PROPN
ajset-575	44	33	dc	dc	PROPN
ajset-575	44	34	,	,	PUNCT
ajset-575	44	35	united	united	PROPN
ajset-575	44	36	states	states	PROPN
ajset-575	44	37	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	44	38	;	;	PUNCT
ajset-575	44	39	mail	mail	NOUN
ajset-575	44	40	:	:	PUNCT
ajset-575	44	41	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	44	42	50	50	NUM
ajset-575	45	1	|	|	ADV
ajset-575	45	2	a	a	DET
ajset-575	45	3	c	c	NOUN
ajset-575	45	4	a	a	PRON
ajset-575	45	5	d	d	X
ajset-575	45	6	e	e	NOUN
ajset-575	45	7	m	m	NOUN
ajset-575	45	8	i	i	NOUN
ajset-575	45	9	c	c	NOUN
ajset-575	45	10	j	j	NOUN
ajset-575	45	11	o	o	X
ajset-575	45	12	u	u	NOUN
ajset-575	45	13	r	r	NOUN
ajset-575	45	14	n	n	NOUN
ajset-575	45	15	a	a	DET
ajset-575	45	16	l	l	NOUN
ajset-575	46	1	o	o	X
ajset-575	46	2	f	f	X
ajset-575	46	3	s	s	X
ajset-575	46	4	c	c	NOUN
ajset-575	47	1	i	i	NOUN
ajset-575	47	2	e	e	PROPN
ajset-575	47	3	n	n	PROPN
ajset-575	47	4	c	c	NOUN
ajset-575	47	5	e	e	X
ajset-575	47	6	,	,	PUNCT
ajset-575	47	7	e	e	PROPN
ajset-575	47	8	n	n	PRON
ajset-575	47	9	g	g	NOUN
ajset-575	47	10	i	i	PRON
ajset-575	47	11	n	n	VERB
ajset-575	47	12	e	e	NOUN
ajset-575	47	13	e	e	NOUN
ajset-575	47	14	r	r	VERB
ajset-575	47	15	i	i	PRON
ajset-575	47	16	n	n	CCONJ
ajset-575	47	17	g	g	PROPN
ajset-575	47	18	a	a	DET
ajset-575	47	19	n	n	NOUN
ajset-575	47	20	d	d	NOUN
ajset-575	47	21	t	t	NOUN
ajset-575	47	22	e	e	X
ajset-575	47	23	c	c	NOUN
ajset-575	47	24	h	h	NOUN
ajset-575	47	25	n	n	ADV
ajset-575	47	26	o	o	NOUN
ajset-575	47	27	l	l	NOUN
ajset-575	48	1	o	o	X
ajset-575	48	2	g	g	NOUN
ajset-575	48	3	y	y	PROPN
ajset-575	48	4	|	|	ADV
ajset-575	48	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	48	6	the	the	DET
ajset-575	48	7	change	change	NOUN
ajset-575	48	8	in	in	ADP
ajset-575	48	9	the	the	DET
ajset-575	48	10	electric	electric	ADJ
ajset-575	48	11	field	field	NOUN
ajset-575	48	12	of	of	ADP
ajset-575	48	13	the	the	DET
ajset-575	48	14	photon	photon	NOUN
ajset-575	48	15	induces	induce	VERB
ajset-575	48	16	a	a	DET
ajset-575	48	17	magnetic	magnetic	ADJ
ajset-575	48	18	field	field	NOUN
ajset-575	48	19	and	and	CCONJ
ajset-575	48	20	,	,	PUNCT
ajset-575	48	21	conversely	conversely	ADV
ajset-575	48	22	,	,	PUNCT
ajset-575	48	23	the	the	DET
ajset-575	48	24	change	change	NOUN
ajset-575	48	25	in	in	ADP
ajset-575	48	26	the	the	DET
ajset-575	48	27	magnetic	magnetic	ADJ
ajset-575	48	28	field	field	NOUN
ajset-575	48	29	induces	induce	VERB
ajset-575	48	30	an	an	DET
ajset-575	48	31	electric	electric	ADJ
ajset-575	48	32	field	field	NOUN
ajset-575	48	33	.	.	PUNCT
ajset-575	49	1	these	these	DET
ajset-575	49	2	changes	change	NOUN
ajset-575	49	3	are	be	AUX
ajset-575	49	4	made	make	VERB
ajset-575	49	5	with	with	ADP
ajset-575	49	6	particular	particular	ADJ
ajset-575	49	7	direction	direction	NOUN
ajset-575	49	8	at	at	ADP
ajset-575	49	9	the	the	DET
ajset-575	49	10	speed	speed	NOUN
ajset-575	49	11	of	of	ADP
ajset-575	49	12	light	light	NOUN
ajset-575	49	13	through	through	ADP
ajset-575	49	14	the	the	DET
ajset-575	49	15	electromagnetic	electromagnetic	ADJ
ajset-575	49	16	field	field	NOUN
ajset-575	49	17	,	,	PUNCT
ajset-575	49	18	which	which	PRON
ajset-575	49	19	was	be	AUX
ajset-575	49	20	once	once	ADV
ajset-575	49	21	labelled	label	VERB
ajset-575	49	22	as	as	ADP
ajset-575	49	23	“	"	PUNCT
ajset-575	49	24	ether	ether	NOUN
ajset-575	49	25	”	"	PUNCT
ajset-575	49	26	.	.	PUNCT
ajset-575	50	1	in	in	ADP
ajset-575	50	2	order	order	NOUN
ajset-575	50	3	to	to	PART
ajset-575	50	4	exist	exist	VERB
ajset-575	50	5	,	,	PUNCT
ajset-575	50	6	the	the	DET
ajset-575	50	7	photon	photon	NOUN
ajset-575	50	8	must	must	AUX
ajset-575	50	9	move	move	VERB
ajset-575	50	10	forward	forward	ADV
ajset-575	50	11	through	through	ADP
ajset-575	50	12	this	this	DET
ajset-575	50	13	electromagnetic	electromagnetic	ADJ
ajset-575	50	14	field	field	NOUN
ajset-575	50	15	such	such	ADJ
ajset-575	50	16	that	that	SCONJ
ajset-575	50	17	the	the	DET
ajset-575	50	18	changes	change	NOUN
ajset-575	50	19	in	in	ADP
ajset-575	50	20	both	both	CCONJ
ajset-575	50	21	the	the	DET
ajset-575	50	22	electric	electric	ADJ
ajset-575	50	23	and	and	CCONJ
ajset-575	50	24	magnetic	magnetic	ADJ
ajset-575	50	25	fields	field	NOUN
ajset-575	50	26	induce	induce	VERB
ajset-575	50	27	each	each	DET
ajset-575	50	28	other	other	ADJ
ajset-575	50	29	.	.	PUNCT
ajset-575	51	1	the	the	DET
ajset-575	51	2	photon	photon	NOUN
ajset-575	51	3	can	can	AUX
ajset-575	51	4	not	not	PART
ajset-575	51	5	be	be	AUX
ajset-575	51	6	at	at	ADP
ajset-575	51	7	rest	rest	NOUN
ajset-575	51	8	with	with	ADP
ajset-575	51	9	respect	respect	NOUN
ajset-575	51	10	to	to	ADP
ajset-575	51	11	the	the	DET
ajset-575	51	12	electromagnetic	electromagnetic	ADJ
ajset-575	51	13	field	field	NOUN
ajset-575	51	14	and	and	CCONJ
ajset-575	51	15	therefore	therefore	ADV
ajset-575	51	16	does	do	AUX
ajset-575	51	17	not	not	PART
ajset-575	51	18	have	have	VERB
ajset-575	51	19	any	any	DET
ajset-575	51	20	rest	rest	NOUN
ajset-575	51	21	energy	energy	NOUN
ajset-575	51	22	or	or	CCONJ
ajset-575	51	23	rest	rest	NOUN
ajset-575	51	24	mass	mass	NOUN
ajset-575	51	25	.	.	PUNCT
ajset-575	52	1	however	however	ADV
ajset-575	52	2	,	,	PUNCT
ajset-575	52	3	there	there	PRON
ajset-575	52	4	are	be	VERB
ajset-575	52	5	two	two	NUM
ajset-575	52	6	types	type	NOUN
ajset-575	52	7	of	of	ADP
ajset-575	52	8	motion	motion	NOUN
ajset-575	52	9	:	:	PUNCT
ajset-575	52	10	translational	translational	ADJ
ajset-575	52	11	(	(	PUNCT
ajset-575	52	12	linear	linear	ADJ
ajset-575	52	13	)	)	PUNCT
ajset-575	52	14	and	and	CCONJ
ajset-575	52	15	rotational	rotational	ADJ
ajset-575	52	16	(	(	PUNCT
ajset-575	52	17	angular	angular	ADJ
ajset-575	52	18	)	)	PUNCT
ajset-575	52	19	.	.	PUNCT
ajset-575	53	1	we	we	PRON
ajset-575	53	2	perceive	perceive	VERB
ajset-575	53	3	the	the	DET
ajset-575	53	4	photon	photon	NOUN
ajset-575	53	5	to	to	PART
ajset-575	53	6	move	move	VERB
ajset-575	53	7	forward	forward	ADV
ajset-575	53	8	through	through	ADP
ajset-575	53	9	space	space	NOUN
ajset-575	53	10	in	in	ADP
ajset-575	53	11	translational	translational	ADJ
ajset-575	53	12	motion	motion	NOUN
ajset-575	53	13	.	.	PUNCT
ajset-575	54	1	if	if	SCONJ
ajset-575	54	2	the	the	DET
ajset-575	54	3	two	two	NUM
ajset-575	54	4	vectors	vector	NOUN
ajset-575	54	5	of	of	ADP
ajset-575	54	6	the	the	DET
ajset-575	54	7	electromagnetic	electromagnetic	ADJ
ajset-575	54	8	wave	wave	NOUN
ajset-575	54	9	of	of	ADP
ajset-575	54	10	a	a	DET
ajset-575	54	11	photon	photon	NOUN
ajset-575	54	12	could	could	AUX
ajset-575	54	13	be	be	AUX
ajset-575	54	14	brought	bring	VERB
ajset-575	54	15	to	to	PART
ajset-575	54	16	spin	spin	VERB
ajset-575	54	17	,	,	PUNCT
ajset-575	54	18	not	not	PART
ajset-575	54	19	as	as	ADP
ajset-575	54	20	in	in	ADP
ajset-575	54	21	the	the	DET
ajset-575	54	22	case	case	NOUN
ajset-575	54	23	of	of	ADP
ajset-575	54	24	a	a	DET
ajset-575	54	25	circular	circular	ADJ
ajset-575	54	26	polarized	polarize	VERB
ajset-575	54	27	wave	wave	NOUN
ajset-575	54	28	,	,	PUNCT
ajset-575	54	29	but	but	CCONJ
ajset-575	54	30	as	as	ADP
ajset-575	54	31	in	in	ADP
ajset-575	54	32	the	the	DET
ajset-575	54	33	case	case	NOUN
ajset-575	54	34	of	of	ADP
ajset-575	54	35	the	the	DET
ajset-575	54	36	electron	electron	NOUN
ajset-575	54	37	model	model	NOUN
ajset-575	54	38	shown	show	VERB
ajset-575	54	39	in	in	ADP
ajset-575	54	40	figures	figure	NOUN
ajset-575	54	41	1	1	NUM
ajset-575	54	42	and	and	CCONJ
ajset-575	54	43	2	2	NUM
ajset-575	54	44	,	,	PUNCT
ajset-575	54	45	then	then	ADV
ajset-575	54	46	it	it	PRON
ajset-575	54	47	might	might	AUX
ajset-575	54	48	create	create	VERB
ajset-575	54	49	a	a	DET
ajset-575	54	50	magnetic	magnetic	ADJ
ajset-575	54	51	dipole	dipole	NOUN
ajset-575	54	52	and	and	CCONJ
ajset-575	54	53	an	an	DET
ajset-575	54	54	electric	electric	ADJ
ajset-575	54	55	monopole	monopole	NOUN
ajset-575	54	56	.	.	PUNCT
ajset-575	55	1	figure	figure	NOUN
ajset-575	55	2	1	1	NUM
ajset-575	55	3	:	:	PUNCT
ajset-575	55	4	sectional	sectional	ADJ
ajset-575	55	5	plan	plan	NOUN
ajset-575	55	6	view	view	NOUN
ajset-575	55	7	of	of	ADP
ajset-575	55	8	counter	counter	ADJ
ajset-575	55	9	clockwise	clockwise	NOUN
ajset-575	55	10	rotating	rotate	VERB
ajset-575	55	11	(	(	PUNCT
ajset-575	55	12	spinning	spinning	NOUN
ajset-575	55	13	)	)	PUNCT
ajset-575	55	14	electron	electron	NOUN
ajset-575	55	15	wave	wave	NOUN
ajset-575	55	16	inducing	induce	VERB
ajset-575	55	17	magnetic	magnetic	ADJ
ajset-575	55	18	lines	line	NOUN
ajset-575	55	19	of	of	ADP
ajset-575	55	20	force	force	PROPN
ajset-575	55	21	b	b	PROPN
ajset-575	55	22	(	(	PUNCT
ajset-575	55	23	as	as	ADP
ajset-575	55	24	arrows	arrow	NOUN
ajset-575	55	25	coming	come	VERB
ajset-575	55	26	up	up	ADP
ajset-575	55	27	from	from	ADP
ajset-575	55	28	the	the	DET
ajset-575	55	29	page	page	NOUN
ajset-575	55	30	)	)	PUNCT
ajset-575	55	31	and	and	CCONJ
ajset-575	55	32	electric	electric	ADJ
ajset-575	55	33	field	field	NOUN
ajset-575	55	34	e.	e.	PROPN
ajset-575	55	35	figure	figure	PROPN
ajset-575	55	36	2	2	NUM
ajset-575	55	37	:	:	PUNCT
ajset-575	55	38	sectional	sectional	ADJ
ajset-575	55	39	side	side	NOUN
ajset-575	55	40	view	view	NOUN
ajset-575	55	41	of	of	ADP
ajset-575	55	42	spinning	spin	VERB
ajset-575	55	43	electron	electron	NOUN
ajset-575	55	44	wave	wave	NOUN
ajset-575	55	45	inducing	induce	VERB
ajset-575	55	46	magnetic	magnetic	ADJ
ajset-575	55	47	dipole	dipole	NOUN
ajset-575	55	48	and	and	CCONJ
ajset-575	55	49	electric	electric	ADJ
ajset-575	55	50	monopole	monopole	NOUN
ajset-575	55	51	.	.	PUNCT
ajset-575	56	1	at	at	ADP
ajset-575	56	2	some	some	DET
ajset-575	56	3	small	small	ADJ
ajset-575	56	4	radius	radius	NOUN
ajset-575	56	5	(	(	PUNCT
ajset-575	56	6	very	very	ADV
ajset-575	56	7	close	close	ADJ
ajset-575	56	8	to	to	ADP
ajset-575	56	9	the	the	DET
ajset-575	56	10	axis	axis	NOUN
ajset-575	56	11	of	of	ADP
ajset-575	56	12	spin	spin	NOUN
ajset-575	56	13	)	)	PUNCT
ajset-575	56	14	where	where	SCONJ
ajset-575	56	15	the	the	DET
ajset-575	56	16	velocity	velocity	NOUN
ajset-575	56	17	of	of	ADP
ajset-575	56	18	the	the	DET
ajset-575	56	19	rotating	rotate	VERB
ajset-575	56	20	wave	wave	NOUN
ajset-575	56	21	is	be	AUX
ajset-575	56	22	less	less	ADJ
ajset-575	56	23	than	than	ADP
ajset-575	56	24	c	c	NOUN
ajset-575	56	25	,	,	PUNCT
ajset-575	56	26	the	the	DET
ajset-575	56	27	direction	direction	NOUN
ajset-575	56	28	of	of	ADP
ajset-575	56	29	the	the	DET
ajset-575	56	30	magnetic	magnetic	ADJ
ajset-575	56	31	and	and	CCONJ
ajset-575	56	32	electric	electric	ADJ
ajset-575	56	33	fields	field	NOUN
ajset-575	56	34	might	might	AUX
ajset-575	56	35	reverse	reverse	VERB
ajset-575	56	36	with	with	ADP
ajset-575	56	37	respect	respect	NOUN
ajset-575	56	38	to	to	ADP
ajset-575	56	39	their	their	PRON
ajset-575	56	40	cross	cross	NOUN
ajset-575	56	41	product	product	NOUN
ajset-575	56	42	to	to	PART
ajset-575	56	43	allow	allow	VERB
ajset-575	56	44	for	for	ADP
ajset-575	56	45	the	the	DET
ajset-575	56	46	singular	singular	ADJ
ajset-575	56	47	connection	connection	NOUN
ajset-575	56	48	between	between	ADP
ajset-575	56	49	the	the	DET
ajset-575	56	50	north	north	NOUN
ajset-575	56	51	and	and	CCONJ
ajset-575	56	52	south	south	ADJ
ajset-575	56	53	poles	pole	NOUN
ajset-575	56	54	.	.	PUNCT
ajset-575	57	1	just	just	ADV
ajset-575	57	2	as	as	ADP
ajset-575	57	3	the	the	DET
ajset-575	57	4	magnetic	magnetic	ADJ
ajset-575	57	5	field	field	NOUN
ajset-575	57	6	of	of	ADP
ajset-575	57	7	a	a	DET
ajset-575	57	8	photon	photon	NOUN
ajset-575	57	9	changes	change	NOUN
ajset-575	57	10	in	in	ADP
ajset-575	57	11	translational	translational	ADJ
ajset-575	57	12	motion	motion	NOUN
ajset-575	57	13	,	,	PUNCT
ajset-575	57	14	thus	thus	ADV
ajset-575	57	15	inducing	induce	VERB
ajset-575	57	16	an	an	DET
ajset-575	57	17	electric	electric	ADJ
ajset-575	57	18	field	field	NOUN
ajset-575	57	19	,	,	PUNCT
ajset-575	57	20	so	so	ADV
ajset-575	57	21	does	do	VERB
ajset-575	57	22	the	the	DET
ajset-575	57	23	magnetic	magnetic	ADJ
ajset-575	57	24	field	field	NOUN
ajset-575	57	25	of	of	ADP
ajset-575	57	26	the	the	DET
ajset-575	57	27	electron	electron	NOUN
ajset-575	57	28	change	change	NOUN
ajset-575	57	29	in	in	ADP
ajset-575	57	30	rotational	rotational	ADJ
ajset-575	57	31	motion	motion	NOUN
ajset-575	57	32	thus	thus	ADV
ajset-575	57	33	inducing	induce	VERB
ajset-575	57	34	the	the	DET
ajset-575	57	35	electric	electric	ADJ
ajset-575	57	36	field	field	NOUN
ajset-575	57	37	of	of	ADP
ajset-575	57	38	the	the	DET
ajset-575	57	39	electron	electron	NOUN
ajset-575	57	40	.	.	PUNCT
ajset-575	58	1	likewise	likewise	ADV
ajset-575	58	2	,	,	PUNCT
ajset-575	58	3	as	as	ADP
ajset-575	58	4	in	in	ADP
ajset-575	58	5	the	the	DET
ajset-575	58	6	photon	photon	NOUN
ajset-575	58	7	,	,	PUNCT
ajset-575	58	8	the	the	DET
ajset-575	58	9	change	change	NOUN
ajset-575	58	10	in	in	ADP
ajset-575	58	11	the	the	DET
ajset-575	58	12	electric	electric	ADJ
ajset-575	58	13	field	field	NOUN
ajset-575	58	14	of	of	ADP
ajset-575	58	15	the	the	DET
ajset-575	58	16	electron	electron	NOUN
ajset-575	58	17	induces	induce	VERB
ajset-575	58	18	the	the	DET
ajset-575	58	19	magnetic	magnetic	ADJ
ajset-575	58	20	field	field	NOUN
ajset-575	58	21	of	of	ADP
ajset-575	58	22	the	the	DET
ajset-575	58	23	electron	electron	NOUN
ajset-575	58	24	.	.	PUNCT
ajset-575	59	1	in	in	ADP
ajset-575	59	2	compliance	compliance	NOUN
ajset-575	59	3	with	with	ADP
ajset-575	59	4	the	the	DET
ajset-575	59	5	electromagnetic	electromagnetic	ADJ
ajset-575	59	6	theory	theory	NOUN
ajset-575	59	7	of	of	ADP
ajset-575	59	8	light	light	NOUN
ajset-575	59	9	,	,	PUNCT
ajset-575	59	10	the	the	DET
ajset-575	59	11	electron	electron	NOUN
ajset-575	59	12	rw	rw	NOUN
ajset-575	59	13	(	(	PUNCT
ajset-575	59	14	and	and	CCONJ
ajset-575	59	15	likewise	likewise	ADV
ajset-575	59	16	the	the	DET
ajset-575	59	17	positron	positron	NOUN
ajset-575	59	18	)	)	PUNCT
ajset-575	59	19	is	be	AUX
ajset-575	59	20	nothing	nothing	PRON
ajset-575	59	21	but	but	SCONJ
ajset-575	59	22	one	one	NUM
ajset-575	59	23	half	half	NOUN
ajset-575	59	24	of	of	ADP
ajset-575	59	25	a	a	DET
ajset-575	59	26	gamma	gamma	NOUN
ajset-575	59	27	photon	photon	NOUN
ajset-575	59	28	brought	bring	VERB
ajset-575	59	29	into	into	ADP
ajset-575	59	30	rotation	rotation	NOUN
ajset-575	59	31	by	by	ADP
ajset-575	59	32	a	a	DET
ajset-575	59	33	binding	bind	VERB
ajset-575	59	34	energy	energy	NOUN
ajset-575	59	35	equivalent	equivalent	ADJ
ajset-575	59	36	to	to	ADP
ajset-575	59	37	another	another	DET
ajset-575	59	38	half	half	NOUN
ajset-575	59	39	of	of	ADP
ajset-575	59	40	a	a	DET
ajset-575	59	41	gamma	gamma	NOUN
ajset-575	59	42	photon	photon	NOUN
ajset-575	59	43	.	.	PUNCT
ajset-575	60	1	this	this	PRON
ajset-575	60	2	is	be	AUX
ajset-575	60	3	confirmed	confirm	VERB
ajset-575	60	4	by	by	ADP
ajset-575	60	5	experiment	experiment	NOUN
ajset-575	60	6	.	.	PUNCT
ajset-575	61	1	if	if	SCONJ
ajset-575	61	2	a	a	DET
ajset-575	61	3	gamma	gamma	PROPN
ajset-575	61	4	ray	ray	NOUN
ajset-575	61	5	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	61	6	academic	academic	ADJ
ajset-575	61	7	journal	journal	NOUN
ajset-575	61	8	of	of	ADP
ajset-575	61	9	science	science	NOUN
ajset-575	61	10	,	,	PUNCT
ajset-575	61	11	engineering	engineering	NOUN
ajset-575	61	12	and	and	CCONJ
ajset-575	61	13	technology	technology	NOUN
ajset-575	61	14	vol.6	vol.6	PROPN
ajset-575	61	15	,	,	PUNCT
ajset-575	61	16	issue	issue	NOUN
ajset-575	61	17	1	1	NUM
ajset-575	61	18	;	;	PUNCT
ajset-575	61	19	january	january	PROPN
ajset-575	61	20	febuary	febuary	PROPN
ajset-575	61	21	2021	2021	NUM
ajset-575	61	22	;	;	PUNCT
ajset-575	61	23	1252	1252	NUM
ajset-575	61	24	columbia	columbia	PROPN
ajset-575	61	25	rd	rd	PROPN
ajset-575	61	26	nw	nw	PROPN
ajset-575	61	27	,	,	PUNCT
ajset-575	61	28	washington	washington	PROPN
ajset-575	61	29	dc	dc	PROPN
ajset-575	61	30	,	,	PUNCT
ajset-575	61	31	united	united	PROPN
ajset-575	61	32	states	states	PROPN
ajset-575	61	33	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	61	34	;	;	PUNCT
ajset-575	61	35	mail	mail	NOUN
ajset-575	61	36	:	:	PUNCT
ajset-575	61	37	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	62	1	51	51	NUM
ajset-575	63	1	|	|	ADV
ajset-575	63	2	a	a	DET
ajset-575	63	3	c	c	NOUN
ajset-575	63	4	a	a	PRON
ajset-575	63	5	d	d	X
ajset-575	63	6	e	e	NOUN
ajset-575	63	7	m	m	NOUN
ajset-575	63	8	i	i	NOUN
ajset-575	63	9	c	c	NOUN
ajset-575	63	10	j	j	NOUN
ajset-575	63	11	o	o	X
ajset-575	63	12	u	u	NOUN
ajset-575	63	13	r	r	NOUN
ajset-575	63	14	n	n	NOUN
ajset-575	63	15	a	a	DET
ajset-575	63	16	l	l	NOUN
ajset-575	64	1	o	o	X
ajset-575	64	2	f	f	X
ajset-575	64	3	s	s	X
ajset-575	64	4	c	c	NOUN
ajset-575	65	1	i	i	NOUN
ajset-575	65	2	e	e	PROPN
ajset-575	65	3	n	n	PROPN
ajset-575	65	4	c	c	NOUN
ajset-575	65	5	e	e	X
ajset-575	65	6	,	,	PUNCT
ajset-575	65	7	e	e	PROPN
ajset-575	65	8	n	n	PRON
ajset-575	65	9	g	g	NOUN
ajset-575	65	10	i	i	PRON
ajset-575	65	11	n	n	VERB
ajset-575	65	12	e	e	NOUN
ajset-575	65	13	e	e	NOUN
ajset-575	65	14	r	r	VERB
ajset-575	65	15	i	i	PRON
ajset-575	65	16	n	n	CCONJ
ajset-575	65	17	g	g	PROPN
ajset-575	65	18	a	a	DET
ajset-575	65	19	n	n	NOUN
ajset-575	65	20	d	d	NOUN
ajset-575	65	21	t	t	NOUN
ajset-575	65	22	e	e	X
ajset-575	65	23	c	c	NOUN
ajset-575	65	24	h	h	NOUN
ajset-575	65	25	n	n	ADV
ajset-575	65	26	o	o	NOUN
ajset-575	65	27	l	l	NOUN
ajset-575	66	1	o	o	X
ajset-575	66	2	g	g	NOUN
ajset-575	66	3	y	y	PROPN
ajset-575	66	4	|	|	ADV
ajset-575	66	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	NOUN
ajset-575	66	6	is	be	AUX
ajset-575	66	7	brought	bring	VERB
ajset-575	66	8	under	under	ADP
ajset-575	66	9	enough	enough	ADJ
ajset-575	66	10	localized	localized	ADJ
ajset-575	66	11	energy	energy	NOUN
ajset-575	66	12	,	,	PUNCT
ajset-575	66	13	an	an	DET
ajset-575	66	14	electron	electron	NOUN
ajset-575	66	15	-	-	PUNCT
ajset-575	66	16	positron	positron	NOUN
ajset-575	66	17	pair	pair	NOUN
ajset-575	66	18	will	will	AUX
ajset-575	66	19	be	be	AUX
ajset-575	66	20	created	create	VERB
ajset-575	66	21	.	.	PUNCT
ajset-575	67	1	all	all	PRON
ajset-575	67	2	of	of	ADP
ajset-575	67	3	the	the	DET
ajset-575	67	4	energy	energy	NOUN
ajset-575	67	5	will	will	AUX
ajset-575	67	6	be	be	AUX
ajset-575	67	7	conserved	conserve	VERB
ajset-575	67	8	as	as	ADP
ajset-575	67	9	rest	rest	NOUN
ajset-575	67	10	mass	mass	NOUN
ajset-575	67	11	and	and	CCONJ
ajset-575	67	12	kinetic	kinetic	ADJ
ajset-575	67	13	energy	energy	NOUN
ajset-575	67	14	of	of	ADP
ajset-575	67	15	the	the	DET
ajset-575	67	16	particles	particle	NOUN
ajset-575	67	17	.	.	PUNCT
ajset-575	68	1	when	when	SCONJ
ajset-575	68	2	the	the	DET
ajset-575	68	3	electron	electron	NOUN
ajset-575	68	4	and	and	CCONJ
ajset-575	68	5	positron	positron	NOUN
ajset-575	68	6	are	be	AUX
ajset-575	68	7	then	then	ADV
ajset-575	68	8	brought	bring	VERB
ajset-575	68	9	together	together	ADV
ajset-575	68	10	in	in	ADP
ajset-575	68	11	annihilation	annihilation	NOUN
ajset-575	68	12	in	in	ADP
ajset-575	68	13	free	free	ADJ
ajset-575	68	14	space	space	NOUN
ajset-575	68	15	,	,	PUNCT
ajset-575	68	16	they	they	PRON
ajset-575	68	17	produce	produce	VERB
ajset-575	68	18	two	two	NUM
ajset-575	68	19	photons	photon	NOUN
ajset-575	68	20	whose	whose	DET
ajset-575	68	21	total	total	ADJ
ajset-575	68	22	energy	energy	NOUN
ajset-575	68	23	is	be	AUX
ajset-575	68	24	equal	equal	ADJ
ajset-575	68	25	to	to	ADP
ajset-575	68	26	that	that	PRON
ajset-575	68	27	of	of	ADP
ajset-575	68	28	the	the	DET
ajset-575	68	29	original	original	ADJ
ajset-575	68	30	photon	photon	NOUN
ajset-575	68	31	and	and	CCONJ
ajset-575	68	32	the	the	DET
ajset-575	68	33	localized	localized	ADJ
ajset-575	68	34	energy	energy	NOUN
ajset-575	68	35	from	from	ADP
ajset-575	68	36	which	which	PRON
ajset-575	68	37	the	the	DET
ajset-575	68	38	particles	particle	NOUN
ajset-575	68	39	were	be	AUX
ajset-575	68	40	created	create	VERB
ajset-575	68	41	.	.	PUNCT
ajset-575	69	1	when	when	SCONJ
ajset-575	69	2	positive	positive	ADJ
ajset-575	69	3	and	and	CCONJ
ajset-575	69	4	negative	negative	ADJ
ajset-575	69	5	charged	charge	VERB
ajset-575	69	6	particles	particle	NOUN
ajset-575	69	7	are	be	AUX
ajset-575	69	8	oscillated	oscillate	VERB
ajset-575	69	9	towards	towards	ADP
ajset-575	69	10	each	each	DET
ajset-575	69	11	other	other	ADJ
ajset-575	69	12	they	they	PRON
ajset-575	69	13	will	will	AUX
ajset-575	69	14	induce	induce	VERB
ajset-575	69	15	an	an	DET
ajset-575	69	16	electromagnetic	electromagnetic	ADJ
ajset-575	69	17	wave	wave	NOUN
ajset-575	69	18	which	which	PRON
ajset-575	69	19	spreads	spread	VERB
ajset-575	69	20	out	out	ADP
ajset-575	69	21	in	in	ADP
ajset-575	69	22	every	every	DET
ajset-575	69	23	direction	direction	NOUN
ajset-575	69	24	except	except	SCONJ
ajset-575	69	25	the	the	DET
ajset-575	69	26	path	path	NOUN
ajset-575	69	27	of	of	ADP
ajset-575	69	28	their	their	PRON
ajset-575	69	29	oscillation	oscillation	NOUN
ajset-575	69	30	.	.	PUNCT
ajset-575	70	1	similarly	similarly	ADV
ajset-575	70	2	,	,	PUNCT
ajset-575	70	3	two	two	NUM
ajset-575	70	4	photons	photon	NOUN
ajset-575	70	5	are	be	AUX
ajset-575	70	6	emitted	emit	VERB
ajset-575	70	7	in	in	ADP
ajset-575	70	8	opposite	opposite	ADJ
ajset-575	70	9	directions	direction	NOUN
ajset-575	70	10	during	during	ADP
ajset-575	70	11	the	the	DET
ajset-575	70	12	annihilation	annihilation	NOUN
ajset-575	70	13	of	of	ADP
ajset-575	70	14	an	an	DET
ajset-575	70	15	electron	electron	NOUN
ajset-575	70	16	-	-	PUNCT
ajset-575	70	17	positron	positron	NOUN
ajset-575	70	18	pair	pair	NOUN
ajset-575	70	19	in	in	ADP
ajset-575	70	20	free	free	ADJ
ajset-575	70	21	space	space	NOUN
ajset-575	70	22	.	.	PUNCT
ajset-575	71	1	note	note	VERB
ajset-575	71	2	that	that	SCONJ
ajset-575	71	3	the	the	DET
ajset-575	71	4	counter	counter	NOUN
ajset-575	71	5	-	-	NOUN
ajset-575	71	6	clockwise	clockwise	NOUN
ajset-575	71	7	spinning	spin	VERB
ajset-575	71	8	electromagnetic	electromagnetic	ADJ
ajset-575	71	9	wave	wave	NOUN
ajset-575	71	10	which	which	PRON
ajset-575	71	11	is	be	AUX
ajset-575	71	12	shown	show	VERB
ajset-575	71	13	as	as	ADP
ajset-575	71	14	a	a	DET
ajset-575	71	15	dark	dark	ADJ
ajset-575	71	16	straight	straight	ADJ
ajset-575	71	17	line	line	NOUN
ajset-575	71	18	in	in	ADP
ajset-575	71	19	figure	figure	NOUN
ajset-575	71	20	1	1	NUM
ajset-575	71	21	is	be	AUX
ajset-575	71	22	actually	actually	ADV
ajset-575	71	23	a	a	DET
ajset-575	71	24	sectional	sectional	ADJ
ajset-575	71	25	view	view	NOUN
ajset-575	71	26	of	of	ADP
ajset-575	71	27	a	a	DET
ajset-575	71	28	planar	planar	ADJ
ajset-575	71	29	wave	wave	NOUN
ajset-575	71	30	front	front	NOUN
ajset-575	71	31	with	with	ADP
ajset-575	71	32	the	the	DET
ajset-575	71	33	maximum	maximum	ADJ
ajset-575	71	34	(	(	PUNCT
ajset-575	71	35	or	or	CCONJ
ajset-575	71	36	nodal	nodal	NOUN
ajset-575	71	37	)	)	PUNCT
ajset-575	71	38	electromagnetic	electromagnetic	ADJ
ajset-575	71	39	magnitude	magnitude	NOUN
ajset-575	71	40	.	.	PUNCT
ajset-575	72	1	other	other	ADJ
ajset-575	72	2	lines	line	NOUN
ajset-575	72	3	representing	represent	VERB
ajset-575	72	4	lesser	less	ADJ
ajset-575	72	5	magnitudes	magnitude	NOUN
ajset-575	72	6	are	be	AUX
ajset-575	72	7	not	not	PART
ajset-575	72	8	drawn	draw	VERB
ajset-575	72	9	for	for	ADP
ajset-575	72	10	the	the	DET
ajset-575	72	11	sake	sake	NOUN
ajset-575	72	12	of	of	ADP
ajset-575	72	13	simplicity	simplicity	NOUN
ajset-575	72	14	.	.	PUNCT
ajset-575	73	1	also	also	ADV
ajset-575	73	2	note	note	VERB
ajset-575	73	3	that	that	SCONJ
ajset-575	73	4	the	the	DET
ajset-575	73	5	speed	speed	NOUN
ajset-575	73	6	of	of	ADP
ajset-575	73	7	the	the	DET
ajset-575	73	8	wave	wave	NOUN
ajset-575	73	9	must	must	AUX
ajset-575	73	10	be	be	AUX
ajset-575	73	11	greater	great	ADJ
ajset-575	73	12	at	at	ADP
ajset-575	73	13	distances	distance	NOUN
ajset-575	73	14	further	far	ADV
ajset-575	73	15	from	from	ADP
ajset-575	73	16	the	the	DET
ajset-575	73	17	centre	centre	NOUN
ajset-575	73	18	of	of	ADP
ajset-575	73	19	spin	spin	NOUN
ajset-575	73	20	.	.	PUNCT
ajset-575	74	1	as	as	SCONJ
ajset-575	74	2	noted	note	VERB
ajset-575	74	3	in	in	ADP
ajset-575	74	4	figure	figure	NOUN
ajset-575	74	5	2	2	NUM
ajset-575	74	6	,	,	PUNCT
ajset-575	74	7	the	the	DET
ajset-575	74	8	singular	singular	ADJ
ajset-575	74	9	connection	connection	NOUN
ajset-575	74	10	between	between	ADP
ajset-575	74	11	the	the	DET
ajset-575	74	12	poles	pole	NOUN
ajset-575	74	13	of	of	ADP
ajset-575	74	14	the	the	DET
ajset-575	74	15	electron	electron	NOUN
ajset-575	74	16	and	and	CCONJ
ajset-575	74	17	thus	thus	ADV
ajset-575	74	18	the	the	DET
ajset-575	74	19	curved	curved	ADJ
ajset-575	74	20	magnetic	magnetic	ADJ
ajset-575	74	21	lines	line	NOUN
ajset-575	74	22	might	might	AUX
ajset-575	74	23	be	be	AUX
ajset-575	74	24	due	due	ADJ
ajset-575	74	25	to	to	ADP
ajset-575	74	26	a	a	DET
ajset-575	74	27	reversal	reversal	NOUN
ajset-575	74	28	of	of	ADP
ajset-575	74	29	the	the	DET
ajset-575	74	30	electric	electric	ADJ
ajset-575	74	31	and	and	CCONJ
ajset-575	74	32	magnetic	magnetic	ADJ
ajset-575	74	33	directions	direction	NOUN
ajset-575	74	34	with	with	ADP
ajset-575	74	35	respect	respect	NOUN
ajset-575	74	36	to	to	ADP
ajset-575	74	37	the	the	DET
ajset-575	74	38	direction	direction	NOUN
ajset-575	74	39	of	of	ADP
ajset-575	74	40	rotation	rotation	NOUN
ajset-575	74	41	at	at	ADP
ajset-575	74	42	very	very	ADV
ajset-575	74	43	low	low	ADJ
ajset-575	74	44	speeds	speed	NOUN
ajset-575	74	45	and	and	CCONJ
ajset-575	74	46	thus	thus	ADV
ajset-575	74	47	in	in	ADP
ajset-575	74	48	close	close	ADJ
ajset-575	74	49	proximity	proximity	NOUN
ajset-575	74	50	to	to	ADP
ajset-575	74	51	the	the	DET
ajset-575	74	52	axis	axis	NOUN
ajset-575	74	53	of	of	ADP
ajset-575	74	54	spin	spin	NOUN
ajset-575	74	55	.	.	PUNCT
ajset-575	75	1	at	at	ADP
ajset-575	75	2	a	a	DET
ajset-575	75	3	greater	great	ADJ
ajset-575	75	4	radius	radius	NOUN
ajset-575	75	5	the	the	DET
ajset-575	75	6	rotating	rotate	VERB
ajset-575	75	7	nodal	nodal	NOUN
ajset-575	75	8	wave	wave	NOUN
ajset-575	75	9	front	front	NOUN
ajset-575	75	10	might	might	AUX
ajset-575	75	11	be	be	AUX
ajset-575	75	12	interpreted	interpret	VERB
ajset-575	75	13	as	as	ADP
ajset-575	75	14	a	a	DET
ajset-575	75	15	virtual	virtual	ADJ
ajset-575	75	16	particle	particle	NOUN
ajset-575	75	17	blinking	blink	VERB
ajset-575	75	18	into	into	ADP
ajset-575	75	19	existence	existence	NOUN
ajset-575	75	20	with	with	ADP
ajset-575	75	21	negative	negative	ADJ
ajset-575	75	22	charge	charge	NOUN
ajset-575	75	23	while	while	SCONJ
ajset-575	75	24	at	at	ADP
ajset-575	75	25	a	a	DET
ajset-575	75	26	lesser	less	ADJ
ajset-575	75	27	radius	radius	NOUN
ajset-575	75	28	the	the	DET
ajset-575	75	29	rotating	rotate	VERB
ajset-575	75	30	nodal	nodal	NOUN
ajset-575	75	31	wave	wave	NOUN
ajset-575	75	32	front	front	NOUN
ajset-575	75	33	might	might	AUX
ajset-575	75	34	be	be	AUX
ajset-575	75	35	interpreted	interpret	VERB
ajset-575	75	36	as	as	ADP
ajset-575	75	37	a	a	DET
ajset-575	75	38	virtual	virtual	ADJ
ajset-575	75	39	particle	particle	NOUN
ajset-575	75	40	of	of	ADP
ajset-575	75	41	positive	positive	ADJ
ajset-575	75	42	charge	charge	NOUN
ajset-575	75	43	.	.	PUNCT
ajset-575	76	1	the	the	DET
ajset-575	76	2	boundary	boundary	NOUN
ajset-575	76	3	between	between	ADP
ajset-575	76	4	the	the	DET
ajset-575	76	5	reversal	reversal	NOUN
ajset-575	76	6	might	might	AUX
ajset-575	76	7	not	not	PART
ajset-575	76	8	be	be	AUX
ajset-575	76	9	so	so	ADV
ajset-575	76	10	definite	definite	ADJ
ajset-575	76	11	.	.	PUNCT
ajset-575	77	1	furthermore	furthermore	ADV
ajset-575	77	2	,	,	PUNCT
ajset-575	77	3	the	the	DET
ajset-575	77	4	reversed	reverse	VERB
ajset-575	77	5	fields	field	NOUN
ajset-575	77	6	might	might	AUX
ajset-575	77	7	provide	provide	VERB
ajset-575	77	8	a	a	DET
ajset-575	77	9	binding	bind	VERB
ajset-575	77	10	energy	energy	NOUN
ajset-575	77	11	which	which	PRON
ajset-575	77	12	sustains	sustain	VERB
ajset-575	77	13	the	the	DET
ajset-575	77	14	speculated	speculate	VERB
ajset-575	77	15	rotating	rotate	VERB
ajset-575	77	16	wave	wave	NOUN
ajset-575	77	17	of	of	ADP
ajset-575	77	18	the	the	DET
ajset-575	77	19	rw	rw	NOUN
ajset-575	77	20	.	.	PROPN
ajset-575	77	21	figure	figure	NOUN
ajset-575	77	22	3	3	NUM
ajset-575	77	23	:	:	PUNCT
ajset-575	77	24	photon	photon	NOUN
ajset-575	77	25	wave	wave	NOUN
ajset-575	77	26	existing	exist	VERB
ajset-575	77	27	in	in	ADP
ajset-575	77	28	translational	translational	ADJ
ajset-575	77	29	motion	motion	NOUN
ajset-575	77	30	.	.	PUNCT
ajset-575	78	1	it	it	PRON
ajset-575	78	2	is	be	AUX
ajset-575	78	3	not	not	PART
ajset-575	78	4	fully	fully	ADV
ajset-575	78	5	apparent	apparent	ADJ
ajset-575	78	6	how	how	SCONJ
ajset-575	78	7	the	the	DET
ajset-575	78	8	originating	originate	VERB
ajset-575	78	9	electromagnetic	electromagnetic	ADJ
ajset-575	78	10	wave	wave	NOUN
ajset-575	78	11	of	of	ADP
ajset-575	78	12	the	the	DET
ajset-575	78	13	photon	photon	NOUN
ajset-575	78	14	,	,	PUNCT
ajset-575	78	15	as	as	SCONJ
ajset-575	78	16	illustrated	illustrate	VERB
ajset-575	78	17	in	in	ADP
ajset-575	78	18	figure	figure	NOUN
ajset-575	78	19	3	3	NUM
ajset-575	78	20	,	,	PUNCT
ajset-575	78	21	is	be	AUX
ajset-575	78	22	brought	bring	VERB
ajset-575	78	23	into	into	ADP
ajset-575	78	24	rotation	rotation	NOUN
ajset-575	78	25	by	by	ADP
ajset-575	78	26	a	a	DET
ajset-575	78	27	local	local	ADJ
ajset-575	78	28	binding	bind	VERB
ajset-575	78	29	energy	energy	NOUN
ajset-575	78	30	.	.	PUNCT
ajset-575	79	1	however	however	ADV
ajset-575	79	2	,	,	PUNCT
ajset-575	79	3	given	give	VERB
ajset-575	79	4	a	a	DET
ajset-575	79	5	nodal	nodal	NOUN
ajset-575	79	6	planar	planar	ADJ
ajset-575	79	7	wave	wave	NOUN
ajset-575	79	8	front	front	NOUN
ajset-575	79	9	which	which	PRON
ajset-575	79	10	extends	extend	VERB
ajset-575	79	11	to	to	PART
ajset-575	79	12	infinity	infinity	VERB
ajset-575	79	13	in	in	ADP
ajset-575	79	14	accordance	accordance	NOUN
ajset-575	79	15	with	with	ADP
ajset-575	79	16	the	the	DET
ajset-575	79	17	wavicle	wavicle	NOUN
ajset-575	79	18	,	,	PUNCT
ajset-575	79	19	one	one	PRON
ajset-575	79	20	can	can	AUX
ajset-575	79	21	deduce	deduce	VERB
ajset-575	79	22	that	that	SCONJ
ajset-575	79	23	any	any	DET
ajset-575	79	24	curvature	curvature	NOUN
ajset-575	79	25	in	in	ADP
ajset-575	79	26	the	the	DET
ajset-575	79	27	photon	photon	NOUN
ajset-575	79	28	’s	’s	PART
ajset-575	79	29	translational	translational	ADJ
ajset-575	79	30	path	path	NOUN
ajset-575	79	31	will	will	AUX
ajset-575	79	32	require	require	VERB
ajset-575	79	33	a	a	DET
ajset-575	79	34	definite	definite	ADJ
ajset-575	79	35	point	point	NOUN
ajset-575	79	36	of	of	ADP
ajset-575	79	37	rotation	rotation	NOUN
ajset-575	79	38	for	for	ADP
ajset-575	79	39	that	that	DET
ajset-575	79	40	wave	wave	NOUN
ajset-575	79	41	front	front	NOUN
ajset-575	79	42	and	and	CCONJ
ajset-575	79	43	thus	thus	ADV
ajset-575	79	44	an	an	DET
ajset-575	79	45	associated	associated	ADJ
ajset-575	79	46	magnetic	magnetic	ADJ
ajset-575	79	47	dipole	dipole	NOUN
ajset-575	79	48	along	along	ADP
ajset-575	79	49	with	with	ADP
ajset-575	79	50	a	a	DET
ajset-575	79	51	symmetrical	symmetrical	ADJ
ajset-575	79	52	electric	electric	ADJ
ajset-575	79	53	field	field	NOUN
ajset-575	79	54	.	.	PUNCT
ajset-575	80	1	therefore	therefore	ADV
ajset-575	80	2	,	,	PUNCT
ajset-575	80	3	any	any	DET
ajset-575	80	4	curvature	curvature	NOUN
ajset-575	80	5	in	in	ADP
ajset-575	80	6	the	the	DET
ajset-575	80	7	photon	photon	NOUN
ajset-575	80	8	’s	’s	PART
ajset-575	80	9	path	path	NOUN
ajset-575	80	10	will	will	AUX
ajset-575	80	11	immediately	immediately	ADV
ajset-575	80	12	result	result	VERB
ajset-575	80	13	in	in	ADP
ajset-575	80	14	fermion	fermion	NOUN
ajset-575	80	15	type	type	NOUN
ajset-575	80	16	particles	particle	NOUN
ajset-575	80	17	,	,	PUNCT
ajset-575	80	18	albeit	albeit	SCONJ
ajset-575	80	19	with	with	ADP
ajset-575	80	20	negligible	negligible	ADJ
ajset-575	80	21	and	and	CCONJ
ajset-575	80	22	short	short	ADV
ajset-575	80	23	-	-	PUNCT
ajset-575	80	24	lived	live	VERB
ajset-575	80	25	mass	mass	NOUN
ajset-575	80	26	.	.	PUNCT
ajset-575	81	1	given	give	VERB
ajset-575	81	2	sufficient	sufficient	ADJ
ajset-575	81	3	and	and	CCONJ
ajset-575	81	4	local	local	ADJ
ajset-575	81	5	binding	bind	VERB
ajset-575	81	6	energy	energy	NOUN
ajset-575	81	7	,	,	PUNCT
ajset-575	81	8	the	the	DET
ajset-575	81	9	curvature	curvature	NOUN
ajset-575	81	10	will	will	AUX
ajset-575	81	11	result	result	VERB
ajset-575	81	12	in	in	ADP
ajset-575	81	13	the	the	DET
ajset-575	81	14	sustained	sustained	ADJ
ajset-575	81	15	electron	electron	NOUN
ajset-575	81	16	and	and	CCONJ
ajset-575	81	17	positron	positron	NOUN
ajset-575	81	18	as	as	SCONJ
ajset-575	81	19	illustrated	illustrate	VERB
ajset-575	81	20	in	in	ADP
ajset-575	81	21	figure	figure	NOUN
ajset-575	81	22	4	4	NUM
ajset-575	81	23	.	.	PUNCT
ajset-575	81	24	figure	figure	VERB
ajset-575	81	25	4	4	NUM
ajset-575	81	26	:	:	PUNCT
ajset-575	81	27	in	in	ADP
ajset-575	81	28	this	this	DET
ajset-575	81	29	case	case	NOUN
ajset-575	81	30	the	the	DET
ajset-575	81	31	formation	formation	NOUN
ajset-575	81	32	of	of	ADP
ajset-575	81	33	the	the	DET
ajset-575	81	34	electron	electron	NOUN
ajset-575	81	35	(	(	PUNCT
ajset-575	81	36	left	left	ADJ
ajset-575	81	37	)	)	PUNCT
ajset-575	81	38	and	and	CCONJ
ajset-575	81	39	the	the	DET
ajset-575	81	40	positron	positron	NOUN
ajset-575	81	41	(	(	PUNCT
ajset-575	81	42	right	right	ADJ
ajset-575	81	43	)	)	PUNCT
ajset-575	81	44	,	,	PUNCT
ajset-575	81	45	each	each	PRON
ajset-575	81	46	with	with	ADP
ajset-575	81	47	their	their	PRON
ajset-575	81	48	own	own	ADJ
ajset-575	81	49	selfsustaining	selfsustaining	NOUN
ajset-575	81	50	and	and	CCONJ
ajset-575	81	51	rotating	rotate	VERB
ajset-575	81	52	electromagnetic	electromagnetic	ADJ
ajset-575	81	53	wave	wave	NOUN
ajset-575	81	54	,	,	PUNCT
ajset-575	81	55	conserves	conserve	VERB
ajset-575	81	56	electric	electric	ADJ
ajset-575	81	57	field	field	NOUN
ajset-575	81	58	(	(	PUNCT
ajset-575	81	59	charge	charge	NOUN
ajset-575	81	60	)	)	PUNCT
ajset-575	81	61	,	,	PUNCT
ajset-575	81	62	magnetic	magnetic	ADJ
ajset-575	81	63	moment	moment	NOUN
ajset-575	81	64	,	,	PUNCT
ajset-575	81	65	and	and	CCONJ
ajset-575	81	66	spin	spin	VERB
ajset-575	81	67	angular	angular	ADJ
ajset-575	81	68	momentum	momentum	NOUN
ajset-575	81	69	.	.	PUNCT
ajset-575	82	1	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	82	2	academic	academic	ADJ
ajset-575	82	3	journal	journal	NOUN
ajset-575	82	4	of	of	ADP
ajset-575	82	5	science	science	NOUN
ajset-575	82	6	,	,	PUNCT
ajset-575	82	7	engineering	engineering	NOUN
ajset-575	82	8	and	and	CCONJ
ajset-575	82	9	technology	technology	NOUN
ajset-575	82	10	vol.6	vol.6	PROPN
ajset-575	82	11	,	,	PUNCT
ajset-575	82	12	issue	issue	NOUN
ajset-575	82	13	1	1	NUM
ajset-575	82	14	;	;	PUNCT
ajset-575	82	15	january	january	PROPN
ajset-575	82	16	febuary	febuary	PROPN
ajset-575	82	17	2021	2021	NUM
ajset-575	82	18	;	;	PUNCT
ajset-575	82	19	1252	1252	NUM
ajset-575	82	20	columbia	columbia	PROPN
ajset-575	82	21	rd	rd	PROPN
ajset-575	82	22	nw	nw	PROPN
ajset-575	82	23	,	,	PUNCT
ajset-575	82	24	washington	washington	PROPN
ajset-575	82	25	dc	dc	PROPN
ajset-575	82	26	,	,	PUNCT
ajset-575	82	27	united	united	PROPN
ajset-575	82	28	states	states	PROPN
ajset-575	82	29	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	82	30	;	;	PUNCT
ajset-575	82	31	mail	mail	NOUN
ajset-575	82	32	:	:	PUNCT
ajset-575	82	33	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	83	1	52	52	NUM
ajset-575	84	1	|	|	ADV
ajset-575	84	2	a	a	DET
ajset-575	84	3	c	c	NOUN
ajset-575	84	4	a	a	PRON
ajset-575	84	5	d	d	X
ajset-575	84	6	e	e	NOUN
ajset-575	84	7	m	m	NOUN
ajset-575	84	8	i	i	NOUN
ajset-575	84	9	c	c	NOUN
ajset-575	84	10	j	j	NOUN
ajset-575	84	11	o	o	X
ajset-575	84	12	u	u	NOUN
ajset-575	84	13	r	r	NOUN
ajset-575	84	14	n	n	NOUN
ajset-575	84	15	a	a	DET
ajset-575	84	16	l	l	NOUN
ajset-575	85	1	o	o	X
ajset-575	85	2	f	f	X
ajset-575	85	3	s	s	X
ajset-575	85	4	c	c	NOUN
ajset-575	86	1	i	i	NOUN
ajset-575	86	2	e	e	PROPN
ajset-575	86	3	n	n	PROPN
ajset-575	86	4	c	c	NOUN
ajset-575	86	5	e	e	X
ajset-575	86	6	,	,	PUNCT
ajset-575	86	7	e	e	PROPN
ajset-575	86	8	n	n	PRON
ajset-575	86	9	g	g	NOUN
ajset-575	86	10	i	i	PRON
ajset-575	86	11	n	n	VERB
ajset-575	86	12	e	e	NOUN
ajset-575	86	13	e	e	NOUN
ajset-575	86	14	r	r	VERB
ajset-575	86	15	i	i	PRON
ajset-575	86	16	n	n	CCONJ
ajset-575	86	17	g	g	PROPN
ajset-575	86	18	a	a	DET
ajset-575	86	19	n	n	NOUN
ajset-575	86	20	d	d	NOUN
ajset-575	86	21	t	t	NOUN
ajset-575	86	22	e	e	X
ajset-575	86	23	c	c	NOUN
ajset-575	86	24	h	h	NOUN
ajset-575	86	25	n	n	ADV
ajset-575	86	26	o	o	NOUN
ajset-575	86	27	l	l	NOUN
ajset-575	87	1	o	o	X
ajset-575	87	2	g	g	NOUN
ajset-575	87	3	y	y	PROPN
ajset-575	87	4	|	|	ADV
ajset-575	87	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	87	6	one	one	NUM
ajset-575	87	7	immediate	immediate	ADJ
ajset-575	87	8	variation	variation	NOUN
ajset-575	87	9	of	of	ADP
ajset-575	87	10	the	the	DET
ajset-575	87	11	foregoing	forego	VERB
ajset-575	87	12	concept	concept	NOUN
ajset-575	87	13	of	of	ADP
ajset-575	87	14	a	a	DET
ajset-575	87	15	rotating	rotate	VERB
ajset-575	87	16	electromagnetic	electromagnetic	ADJ
ajset-575	87	17	wave	wave	NOUN
ajset-575	87	18	could	could	AUX
ajset-575	87	19	be	be	AUX
ajset-575	87	20	that	that	SCONJ
ajset-575	87	21	which	which	PRON
ajset-575	87	22	creates	create	VERB
ajset-575	87	23	a	a	DET
ajset-575	87	24	magnetic	magnetic	ADJ
ajset-575	87	25	monopole	monopole	NOUN
ajset-575	87	26	and	and	CCONJ
ajset-575	87	27	an	an	DET
ajset-575	87	28	electric	electric	ADJ
ajset-575	87	29	dipole	dipole	NOUN
ajset-575	87	30	.	.	PUNCT
ajset-575	88	1	or	or	CCONJ
ajset-575	88	2	perhaps	perhaps	ADV
ajset-575	88	3	the	the	DET
ajset-575	88	4	rotating	rotate	VERB
ajset-575	88	5	wave	wave	NOUN
ajset-575	88	6	might	might	AUX
ajset-575	88	7	show	show	VERB
ajset-575	88	8	that	that	SCONJ
ajset-575	88	9	the	the	DET
ajset-575	88	10	electric	electric	ADJ
ajset-575	88	11	and	and	CCONJ
ajset-575	88	12	magnetic	magnetic	ADJ
ajset-575	88	13	fields	field	NOUN
ajset-575	88	14	of	of	ADP
ajset-575	88	15	light	light	NOUN
ajset-575	88	16	are	be	AUX
ajset-575	88	17	merely	merely	ADV
ajset-575	88	18	two	two	NUM
ajset-575	88	19	different	different	ADJ
ajset-575	88	20	directions	direction	NOUN
ajset-575	88	21	of	of	ADP
ajset-575	88	22	stress	stress	NOUN
ajset-575	88	23	,	,	PUNCT
ajset-575	88	24	distinguished	distinguish	VERB
ajset-575	88	25	from	from	ADP
ajset-575	88	26	each	each	DET
ajset-575	88	27	other	other	ADJ
ajset-575	88	28	only	only	ADV
ajset-575	88	29	upon	upon	SCONJ
ajset-575	88	30	the	the	DET
ajset-575	88	31	creation	creation	NOUN
ajset-575	88	32	of	of	ADP
ajset-575	88	33	the	the	DET
ajset-575	88	34	dipole	dipole	NOUN
ajset-575	88	35	of	of	ADP
ajset-575	88	36	the	the	DET
ajset-575	88	37	electron	electron	NOUN
ajset-575	88	38	.	.	PUNCT
ajset-575	89	1	other	other	ADJ
ajset-575	89	2	immediate	immediate	ADJ
ajset-575	89	3	variations	variation	NOUN
ajset-575	89	4	,	,	PUNCT
ajset-575	89	5	such	such	ADJ
ajset-575	89	6	as	as	ADP
ajset-575	89	7	the	the	DET
ajset-575	89	8	muon	muon	NOUN
ajset-575	89	9	and	and	CCONJ
ajset-575	89	10	tau	tau	PROPN
ajset-575	89	11	fermions	fermion	NOUN
ajset-575	89	12	,	,	PUNCT
ajset-575	89	13	could	could	AUX
ajset-575	89	14	simply	simply	ADV
ajset-575	89	15	be	be	AUX
ajset-575	89	16	created	create	VERB
ajset-575	89	17	by	by	ADP
ajset-575	89	18	the	the	DET
ajset-575	89	19	rotation	rotation	NOUN
ajset-575	89	20	of	of	ADP
ajset-575	89	21	waves	wave	NOUN
ajset-575	89	22	which	which	PRON
ajset-575	89	23	have	have	VERB
ajset-575	89	24	different	different	ADJ
ajset-575	89	25	frequencies	frequency	NOUN
ajset-575	89	26	than	than	ADP
ajset-575	89	27	that	that	PRON
ajset-575	89	28	of	of	ADP
ajset-575	89	29	the	the	DET
ajset-575	89	30	gamma	gamma	PROPN
ajset-575	89	31	photon	photon	PROPN
ajset-575	89	32	.	.	PUNCT
ajset-575	90	1	virtual	virtual	ADJ
ajset-575	90	2	photons	photon	NOUN
ajset-575	90	3	,	,	PUNCT
ajset-575	90	4	gluons	gluon	NOUN
ajset-575	90	5	,	,	PUNCT
ajset-575	90	6	and	and	CCONJ
ajset-575	90	7	gravitons	graviton	NOUN
ajset-575	90	8	causing	cause	VERB
ajset-575	90	9	electrodynamic	electrodynamic	ADJ
ajset-575	90	10	,	,	PUNCT
ajset-575	90	11	chromodynamic	chromodynamic	ADJ
ajset-575	90	12	,	,	PUNCT
ajset-575	90	13	and	and	CCONJ
ajset-575	90	14	gravitational	gravitational	ADJ
ajset-575	90	15	interactions	interaction	NOUN
ajset-575	90	16	amongst	amongst	ADP
ajset-575	90	17	particles	particle	NOUN
ajset-575	90	18	might	might	AUX
ajset-575	90	19	simply	simply	ADV
ajset-575	90	20	be	be	AUX
ajset-575	90	21	the	the	DET
ajset-575	90	22	rotating	rotate	VERB
ajset-575	90	23	waves	wave	NOUN
ajset-575	90	24	of	of	ADP
ajset-575	90	25	the	the	DET
ajset-575	90	26	particles	particle	NOUN
ajset-575	90	27	themselves	themselves	PRON
ajset-575	90	28	.	.	PUNCT
ajset-575	91	1	however	however	ADV
ajset-575	91	2	,	,	PUNCT
ajset-575	91	3	any	any	DET
ajset-575	91	4	speculation	speculation	NOUN
ajset-575	91	5	of	of	ADP
ajset-575	91	6	immediate	immediate	ADJ
ajset-575	91	7	or	or	CCONJ
ajset-575	91	8	evolved	evolved	ADJ
ajset-575	91	9	variations	variation	NOUN
ajset-575	91	10	of	of	ADP
ajset-575	91	11	the	the	DET
ajset-575	91	12	rotating	rotate	VERB
ajset-575	91	13	electromagnetic	electromagnetic	ADJ
ajset-575	91	14	wave	wave	NOUN
ajset-575	91	15	form	form	NOUN
ajset-575	91	16	will	will	AUX
ajset-575	91	17	not	not	PART
ajset-575	91	18	be	be	AUX
ajset-575	91	19	further	far	ADV
ajset-575	91	20	discussed	discuss	VERB
ajset-575	91	21	in	in	ADP
ajset-575	91	22	this	this	DET
ajset-575	91	23	paper	paper	NOUN
ajset-575	91	24	.	.	PUNCT
ajset-575	92	1	3	3	X
ajset-575	92	2	.	.	NOUN
ajset-575	92	3	relative	relative	ADJ
ajset-575	92	4	time	time	NOUN
ajset-575	92	5	(	(	PUNCT
ajset-575	92	6	dilation	dilation	NOUN
ajset-575	92	7	)	)	PUNCT
ajset-575	92	8	redefined	redefine	VERB
ajset-575	92	9	according	accord	VERB
ajset-575	92	10	to	to	ADP
ajset-575	92	11	the	the	DET
ajset-575	92	12	special	special	ADJ
ajset-575	92	13	theory	theory	NOUN
ajset-575	92	14	of	of	ADP
ajset-575	92	15	relativity	relativity	NOUN
ajset-575	92	16	,	,	PUNCT
ajset-575	92	17	the	the	DET
ajset-575	92	18	spin	spin	NOUN
ajset-575	92	19	of	of	ADP
ajset-575	92	20	a	a	DET
ajset-575	92	21	moving	move	VERB
ajset-575	92	22	electron	electron	NOUN
ajset-575	92	23	,	,	PUNCT
ajset-575	92	24	as	as	SCONJ
ajset-575	92	25	measured	measure	VERB
ajset-575	92	26	by	by	ADP
ajset-575	92	27	an	an	DET
ajset-575	92	28	outside	outside	ADJ
ajset-575	92	29	observer	observer	NOUN
ajset-575	92	30	,	,	PUNCT
ajset-575	92	31	must	must	AUX
ajset-575	92	32	be	be	AUX
ajset-575	92	33	slower	slow	ADJ
ajset-575	92	34	than	than	ADP
ajset-575	92	35	the	the	DET
ajset-575	92	36	spin	spin	NOUN
ajset-575	92	37	of	of	ADP
ajset-575	92	38	a	a	DET
ajset-575	92	39	stationary	stationary	ADJ
ajset-575	92	40	electron	electron	NOUN
ajset-575	92	41	.	.	PUNCT
ajset-575	93	1	however	however	ADV
ajset-575	93	2	,	,	PUNCT
ajset-575	93	3	without	without	ADP
ajset-575	93	4	regard	regard	NOUN
ajset-575	93	5	to	to	ADP
ajset-575	93	6	relativity	relativity	NOUN
ajset-575	93	7	,	,	PUNCT
ajset-575	93	8	the	the	DET
ajset-575	93	9	angular	angular	ADJ
ajset-575	93	10	velocity	velocity	NOUN
ajset-575	93	11	of	of	ADP
ajset-575	93	12	an	an	DET
ajset-575	93	13	electron	electron	NOUN
ajset-575	93	14	wavicle	wavicle	NOUN
ajset-575	93	15	’s	’s	PART
ajset-575	93	16	spinning	spinning	NOUN
ajset-575	93	17	electromagnetic	electromagnetic	ADJ
ajset-575	93	18	wave	wave	NOUN
ajset-575	93	19	must	must	AUX
ajset-575	93	20	slow	slow	VERB
ajset-575	93	21	down	down	ADP
ajset-575	93	22	as	as	SCONJ
ajset-575	93	23	it	it	PRON
ajset-575	93	24	gains	gain	VERB
ajset-575	93	25	translational	translational	ADJ
ajset-575	93	26	motion	motion	NOUN
ajset-575	93	27	simply	simply	ADV
ajset-575	93	28	because	because	SCONJ
ajset-575	93	29	the	the	DET
ajset-575	93	30	speed	speed	NOUN
ajset-575	93	31	of	of	ADP
ajset-575	93	32	light	light	NOUN
ajset-575	93	33	remains	remain	VERB
ajset-575	93	34	constant	constant	ADJ
ajset-575	93	35	at	at	ADP
ajset-575	93	36	the	the	DET
ajset-575	93	37	same	same	ADJ
ajset-575	93	38	distance	distance	NOUN
ajset-575	93	39	from	from	ADP
ajset-575	93	40	its	its	PRON
ajset-575	93	41	axis	axis	NOUN
ajset-575	93	42	of	of	ADP
ajset-575	93	43	spin	spin	NOUN
ajset-575	93	44	.	.	PUNCT
ajset-575	94	1	this	this	PRON
ajset-575	94	2	is	be	AUX
ajset-575	94	3	illustrated	illustrate	VERB
ajset-575	94	4	in	in	ADP
ajset-575	94	5	figure	figure	NOUN
ajset-575	94	6	5	5	NUM
ajset-575	94	7	.	.	PUNCT
ajset-575	94	8	figure	figure	VERB
ajset-575	94	9	5	5	NUM
ajset-575	94	10	:	:	PUNCT
ajset-575	94	11	cylindrical	cylindrical	ADJ
ajset-575	94	12	model	model	NOUN
ajset-575	94	13	of	of	ADP
ajset-575	94	14	the	the	DET
ajset-575	94	15	vectors	vector	NOUN
ajset-575	94	16	of	of	ADP
ajset-575	94	17	the	the	DET
ajset-575	94	18	rw	rw	PROPN
ajset-575	94	19	(	(	PUNCT
ajset-575	94	20	spinning	spinning	NOUN
ajset-575	94	21	)	)	PUNCT
ajset-575	94	22	electromagnetic	electromagnetic	ADJ
ajset-575	94	23	wave	wave	NOUN
ajset-575	94	24	of	of	ADP
ajset-575	94	25	an	an	DET
ajset-575	94	26	electron	electron	NOUN
ajset-575	94	27	with	with	ADP
ajset-575	94	28	translational	translational	ADJ
ajset-575	94	29	velocity	velocity	NOUN
ajset-575	94	30	v	v	NOUN
ajset-575	94	31	and	and	CCONJ
ajset-575	94	32	spin	spin	VERB
ajset-575	94	33	1/2	1/2	NUM
ajset-575	94	34	.	.	PUNCT
ajset-575	95	1	(	(	PUNCT
ajset-575	95	2	0	0	NUM
ajset-575	95	3	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	95	4	academic	academic	ADJ
ajset-575	95	5	journal	journal	NOUN
ajset-575	95	6	of	of	ADP
ajset-575	95	7	science	science	NOUN
ajset-575	95	8	,	,	PUNCT
ajset-575	95	9	engineering	engineering	NOUN
ajset-575	95	10	and	and	CCONJ
ajset-575	95	11	technology	technology	NOUN
ajset-575	95	12	vol.6	vol.6	PROPN
ajset-575	95	13	,	,	PUNCT
ajset-575	95	14	issue	issue	NOUN
ajset-575	95	15	1	1	NUM
ajset-575	95	16	;	;	PUNCT
ajset-575	95	17	january	january	PROPN
ajset-575	95	18	febuary	febuary	PROPN
ajset-575	95	19	2021	2021	NUM
ajset-575	95	20	;	;	PUNCT
ajset-575	95	21	1252	1252	NUM
ajset-575	95	22	columbia	columbia	PROPN
ajset-575	95	23	rd	rd	PROPN
ajset-575	95	24	nw	nw	PROPN
ajset-575	95	25	,	,	PUNCT
ajset-575	95	26	washington	washington	PROPN
ajset-575	95	27	dc	dc	PROPN
ajset-575	95	28	,	,	PUNCT
ajset-575	95	29	united	united	PROPN
ajset-575	95	30	states	states	PROPN
ajset-575	95	31	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	95	32	;	;	PUNCT
ajset-575	95	33	mail	mail	NOUN
ajset-575	95	34	:	:	PUNCT
ajset-575	95	35	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	96	1	53	53	NUM
ajset-575	97	1	|	|	ADV
ajset-575	97	2	a	a	DET
ajset-575	97	3	c	c	NOUN
ajset-575	97	4	a	a	PRON
ajset-575	97	5	d	d	X
ajset-575	97	6	e	e	NOUN
ajset-575	97	7	m	m	NOUN
ajset-575	97	8	i	i	NOUN
ajset-575	97	9	c	c	NOUN
ajset-575	97	10	j	j	NOUN
ajset-575	97	11	o	o	X
ajset-575	97	12	u	u	NOUN
ajset-575	97	13	r	r	NOUN
ajset-575	97	14	n	n	NOUN
ajset-575	97	15	a	a	DET
ajset-575	97	16	l	l	NOUN
ajset-575	98	1	o	o	X
ajset-575	98	2	f	f	X
ajset-575	98	3	s	s	X
ajset-575	98	4	c	c	NOUN
ajset-575	99	1	i	i	NOUN
ajset-575	99	2	e	e	PROPN
ajset-575	99	3	n	n	PROPN
ajset-575	99	4	c	c	NOUN
ajset-575	99	5	e	e	X
ajset-575	99	6	,	,	PUNCT
ajset-575	99	7	e	e	PROPN
ajset-575	99	8	n	n	PRON
ajset-575	99	9	g	g	NOUN
ajset-575	99	10	i	i	PRON
ajset-575	99	11	n	n	VERB
ajset-575	99	12	e	e	NOUN
ajset-575	99	13	e	e	NOUN
ajset-575	99	14	r	r	VERB
ajset-575	99	15	i	i	PRON
ajset-575	99	16	n	n	CCONJ
ajset-575	99	17	g	g	PROPN
ajset-575	99	18	a	a	DET
ajset-575	99	19	n	n	NOUN
ajset-575	99	20	d	d	NOUN
ajset-575	99	21	t	t	NOUN
ajset-575	99	22	e	e	X
ajset-575	99	23	c	c	NOUN
ajset-575	99	24	h	h	NOUN
ajset-575	99	25	n	n	ADV
ajset-575	99	26	o	o	NOUN
ajset-575	99	27	l	l	NOUN
ajset-575	100	1	o	o	X
ajset-575	100	2	g	g	NOUN
ajset-575	100	3	y	y	PROPN
ajset-575	100	4	|	|	ADV
ajset-575	100	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	100	6	at	at	ADP
ajset-575	100	7	a	a	DET
ajset-575	100	8	certain	certain	ADJ
ajset-575	100	9	distance	distance	NOUN
ajset-575	100	10	r0	r0	NOUN
ajset-575	100	11	from	from	ADP
ajset-575	100	12	the	the	DET
ajset-575	100	13	centre	centre	NOUN
ajset-575	100	14	of	of	ADP
ajset-575	100	15	the	the	DET
ajset-575	100	16	electron	electron	NOUN
ajset-575	100	17	and	and	CCONJ
ajset-575	100	18	midway	midway	NOUN
ajset-575	100	19	between	between	ADP
ajset-575	100	20	its	its	PRON
ajset-575	100	21	magnetic	magnetic	ADJ
ajset-575	100	22	poles	pole	NOUN
ajset-575	100	23	,	,	PUNCT
ajset-575	100	24	let	let	VERB
ajset-575	100	25	us	we	PRON
ajset-575	100	26	say	say	VERB
ajset-575	100	27	that	that	SCONJ
ajset-575	100	28	the	the	DET
ajset-575	100	29	electron	electron	NOUN
ajset-575	100	30	wavicle	wavicle	NOUN
ajset-575	100	31	’s	’s	PART
ajset-575	100	32	electromagnetic	electromagnetic	ADJ
ajset-575	100	33	wave	wave	NOUN
ajset-575	100	34	is	be	AUX
ajset-575	100	35	moving	move	VERB
ajset-575	100	36	at	at	ADP
ajset-575	100	37	a	a	DET
ajset-575	100	38	tangential	tangential	ADJ
ajset-575	100	39	velocity	velocity	NOUN
ajset-575	100	40	vr	vr	NOUN
ajset-575	100	41	(	(	PUNCT
ajset-575	100	42	here	here	ADV
ajset-575	100	43	defined	define	VERB
ajset-575	100	44	as	as	ADP
ajset-575	100	45	the	the	DET
ajset-575	100	46	rotational	rotational	ADJ
ajset-575	100	47	velocity	velocity	NOUN
ajset-575	100	48	)	)	PUNCT
ajset-575	100	49	about	about	ADP
ajset-575	100	50	the	the	DET
ajset-575	100	51	center	center	NOUN
ajset-575	100	52	.	.	PUNCT
ajset-575	101	1	if	if	SCONJ
ajset-575	101	2	the	the	DET
ajset-575	101	3	electron	electron	NOUN
ajset-575	101	4	is	be	AUX
ajset-575	101	5	stationary	stationary	ADJ
ajset-575	101	6	(	(	PUNCT
ajset-575	101	7	without	without	ADP
ajset-575	101	8	translational	translational	ADJ
ajset-575	101	9	motion	motion	NOUN
ajset-575	101	10	)	)	PUNCT
ajset-575	101	11	,	,	PUNCT
ajset-575	101	12	then	then	ADV
ajset-575	101	13	the	the	DET
ajset-575	101	14	time	time	NOUN
ajset-575	101	15	it	it	PRON
ajset-575	101	16	takes	take	VERB
ajset-575	101	17	the	the	DET
ajset-575	101	18	electron	electron	NOUN
ajset-575	101	19	wave	wave	NOUN
ajset-575	101	20	to	to	PART
ajset-575	101	21	complete	complete	VERB
ajset-575	101	22	one	one	NUM
ajset-575	101	23	cycle	cycle	NOUN
ajset-575	101	24	about	about	ADP
ajset-575	101	25	the	the	DET
ajset-575	101	26	centre	centre	NOUN
ajset-575	101	27	will	will	AUX
ajset-575	101	28	be	be	AUX
ajset-575	101	29	t	t	PROPN
ajset-575	101	30	0	0	NUM
ajset-575	101	31	if	if	SCONJ
ajset-575	101	32	the	the	DET
ajset-575	101	33	electron	electron	NOUN
ajset-575	101	34	is	be	AUX
ajset-575	101	35	given	give	VERB
ajset-575	101	36	a	a	DET
ajset-575	101	37	translational	translational	ADJ
ajset-575	101	38	motion	motion	NOUN
ajset-575	101	39	of	of	ADP
ajset-575	101	40	velocity	velocity	NOUN
ajset-575	101	41	v	v	NOUN
ajset-575	101	42	,	,	PUNCT
ajset-575	101	43	then	then	ADV
ajset-575	101	44	the	the	DET
ajset-575	101	45	new	new	ADJ
ajset-575	101	46	time	time	NOUN
ajset-575	101	47	it	it	PRON
ajset-575	101	48	takes	take	VERB
ajset-575	101	49	the	the	DET
ajset-575	101	50	electron	electron	NOUN
ajset-575	101	51	wave	wave	NOUN
ajset-575	101	52	to	to	PART
ajset-575	101	53	complete	complete	VERB
ajset-575	101	54	one	one	NUM
ajset-575	101	55	cycle	cycle	NOUN
ajset-575	101	56	about	about	ADP
ajset-575	101	57	the	the	DET
ajset-575	101	58	centre	centre	NOUN
ajset-575	101	59	can	can	AUX
ajset-575	101	60	be	be	AUX
ajset-575	101	61	called	call	VERB
ajset-575	101	62	t	t	PROPN
ajset-575	101	63	.	.	PUNCT
ajset-575	102	1	the	the	DET
ajset-575	102	2	permeability	permeability	NOUN
ajset-575	102	3	0	0	PUNCT
ajset-575	102	4	and	and	CCONJ
ajset-575	102	5	the	the	DET
ajset-575	102	6	permittivity	permittivity	NOUN
ajset-575	102	7	0	0	NUM
ajset-575	102	8	of	of	ADP
ajset-575	102	9	free	free	ADJ
ajset-575	102	10	space	space	NOUN
ajset-575	102	11	will	will	AUX
ajset-575	102	12	remain	remain	VERB
ajset-575	102	13	constant	constant	ADJ
ajset-575	102	14	about	about	ADP
ajset-575	102	15	the	the	DET
ajset-575	102	16	same	same	ADJ
ajset-575	102	17	radius	radius	NOUN
ajset-575	102	18	r0	r0	NOUN
ajset-575	102	19	from	from	ADP
ajset-575	102	20	the	the	DET
ajset-575	102	21	axis	axis	NOUN
ajset-575	102	22	of	of	ADP
ajset-575	102	23	the	the	DET
ajset-575	102	24	electron	electron	NOUN
ajset-575	102	25	’s	’s	PART
ajset-575	102	26	rotation	rotation	NOUN
ajset-575	102	27	regardless	regardless	ADV
ajset-575	102	28	of	of	ADP
ajset-575	102	29	whether	whether	SCONJ
ajset-575	102	30	or	or	CCONJ
ajset-575	102	31	not	not	PART
ajset-575	102	32	the	the	DET
ajset-575	102	33	electron	electron	NOUN
ajset-575	102	34	is	be	AUX
ajset-575	102	35	in	in	ADP
ajset-575	102	36	translational	translational	ADJ
ajset-575	102	37	motion	motion	NOUN
ajset-575	102	38	.	.	PUNCT
ajset-575	103	1	therefore	therefore	ADV
ajset-575	103	2	the	the	DET
ajset-575	103	3	resultant	resultant	NOUN
ajset-575	103	4	rotational	rotational	ADJ
ajset-575	103	5	velocity	velocity	NOUN
ajset-575	103	6	vr	vr	PROPN
ajset-575	103	7	of	of	ADP
ajset-575	103	8	the	the	DET
ajset-575	103	9	electron	electron	NOUN
ajset-575	103	10	wave	wave	NOUN
ajset-575	103	11	must	must	AUX
ajset-575	103	12	decrease	decrease	VERB
ajset-575	103	13	as	as	ADP
ajset-575	103	14	the	the	DET
ajset-575	103	15	translational	translational	ADJ
ajset-575	103	16	velocity	velocity	NOUN
ajset-575	103	17	v	v	NOUN
ajset-575	103	18	of	of	ADP
ajset-575	103	19	the	the	DET
ajset-575	103	20	electron	electron	NOUN
ajset-575	103	21	increases	increase	NOUN
ajset-575	103	22	in	in	ADP
ajset-575	103	23	the	the	DET
ajset-575	103	24	direction	direction	NOUN
ajset-575	103	25	of	of	ADP
ajset-575	103	26	the	the	DET
ajset-575	103	27	axis	axis	NOUN
ajset-575	103	28	of	of	ADP
ajset-575	103	29	the	the	DET
ajset-575	103	30	electron	electron	NOUN
ajset-575	103	31	’s	’s	PART
ajset-575	103	32	spin	spin	NOUN
ajset-575	103	33	.	.	PUNCT
ajset-575	104	1	from	from	ADP
ajset-575	104	2	figure	figure	NOUN
ajset-575	104	3	5	5	NUM
ajset-575	104	4	.	.	PUNCT
ajset-575	104	5	vr	vr	PROPN
ajset-575	104	6	=	=	PUNCT
ajset-575	104	7	(	(	PUNCT
ajset-575	104	8	c2	c2	PROPN
ajset-575	104	9	v2)1/2	v2)1/2	VERB
ajset-575	104	10	without	without	ADP
ajset-575	104	11	translational	translational	ADJ
ajset-575	104	12	motion	motion	NOUN
ajset-575	104	13	(	(	PUNCT
ajset-575	104	14	v	v	NOUN
ajset-575	104	15	=	=	SYM
ajset-575	104	16	0	0	NUM
ajset-575	104	17	)	)	PUNCT
ajset-575	104	18	and	and	CCONJ
ajset-575	104	19	we	we	PRON
ajset-575	104	20	have	have	VERB
ajset-575	104	21	,	,	PUNCT
ajset-575	104	22	2	2	NUM
ajset-575	104	23	r	r	NOUN
ajset-575	104	24	2	2	NUM
ajset-575	104	25	r	r	NOUN
ajset-575	104	26	t0	t0	NOUN
ajset-575	104	27	=	=	PUNCT
ajset-575	105	1	=	=	PUNCT
ajset-575	105	2	vr	vr	PROPN
ajset-575	105	3	c	c	PROPN
ajset-575	105	4	with	with	ADP
ajset-575	105	5	translational	translational	ADJ
ajset-575	105	6	motion	motion	NOUN
ajset-575	105	7	v	v	NOUN
ajset-575	105	8	0	0	NUM
ajset-575	106	1	we	we	PRON
ajset-575	106	2	get	get	VERB
ajset-575	106	3	,	,	PUNCT
ajset-575	106	4	2	2	NUM
ajset-575	106	5	r	r	NOUN
ajset-575	106	6	2	2	NUM
ajset-575	106	7	r	r	NOUN
ajset-575	106	8	t	t	NOUN
ajset-575	106	9	=	=	PUNCT
ajset-575	106	10	=	=	SYM
ajset-575	106	11	2	2	NUM
ajset-575	106	12	2	2	NUM
ajset-575	106	13	1/2	1/2	NUM
ajset-575	106	14	vr	vr	NOUN
ajset-575	106	15	(	(	PUNCT
ajset-575	106	16	c	c	PROPN
ajset-575	106	17	v	v	NOUN
ajset-575	106	18	)	)	PUNCT
ajset-575	106	19	1/2	1/2	NUM
ajset-575	106	20	2	2	NUM
ajset-575	106	21	v	v	NOUN
ajset-575	106	22	and	and	CCONJ
ajset-575	106	23	therefore	therefore	ADV
ajset-575	106	24	t	t	PROPN
ajset-575	106	25	=	=	SYM
ajset-575	106	26	t0	t0	PROPN
ajset-575	106	27	1	1	NUM
ajset-575	106	28	c2	c2	PROPN
ajset-575	106	29	which	which	PRON
ajset-575	106	30	agrees	agree	VERB
ajset-575	106	31	with	with	ADP
ajset-575	106	32	the	the	DET
ajset-575	106	33	time	time	NOUN
ajset-575	106	34	dilation	dilation	NOUN
ajset-575	106	35	formula	formula	NOUN
ajset-575	106	36	of	of	ADP
ajset-575	106	37	the	the	DET
ajset-575	106	38	special	special	ADJ
ajset-575	106	39	theory	theory	NOUN
ajset-575	106	40	of	of	ADP
ajset-575	106	41	relativity	relativity	NOUN
ajset-575	106	42	.	.	PUNCT
ajset-575	107	1	since	since	SCONJ
ajset-575	107	2	this	this	DET
ajset-575	107	3	concept	concept	NOUN
ajset-575	107	4	of	of	ADP
ajset-575	107	5	the	the	DET
ajset-575	107	6	electron	electron	NOUN
ajset-575	107	7	contains	contain	VERB
ajset-575	107	8	only	only	ADV
ajset-575	107	9	a	a	DET
ajset-575	107	10	spinning	spin	VERB
ajset-575	107	11	electromagnetic	electromagnetic	ADJ
ajset-575	107	12	wave	wave	NOUN
ajset-575	107	13	,	,	PUNCT
ajset-575	107	14	then	then	ADV
ajset-575	107	15	it	it	PRON
ajset-575	107	16	is	be	AUX
ajset-575	107	17	only	only	ADV
ajset-575	107	18	the	the	DET
ajset-575	107	19	electromagnetic	electromagnetic	ADJ
ajset-575	107	20	wave	wave	NOUN
ajset-575	107	21	that	that	PRON
ajset-575	107	22	exhibits	exhibit	VERB
ajset-575	107	23	time	time	NOUN
ajset-575	107	24	dilation	dilation	NOUN
ajset-575	107	25	.	.	PUNCT
ajset-575	108	1	furthermore	furthermore	ADV
ajset-575	108	2	,	,	PUNCT
ajset-575	108	3	according	accord	VERB
ajset-575	108	4	to	to	ADP
ajset-575	108	5	quantum	quantum	ADJ
ajset-575	108	6	mechanics	mechanic	NOUN
ajset-575	108	7	,	,	PUNCT
ajset-575	108	8	ionic	ionic	ADJ
ajset-575	108	9	and	and	CCONJ
ajset-575	108	10	thus	thus	ADV
ajset-575	108	11	mechanical	mechanical	ADJ
ajset-575	108	12	functions	function	NOUN
ajset-575	108	13	must	must	AUX
ajset-575	108	14	slow	slow	VERB
ajset-575	108	15	down	down	ADP
ajset-575	108	16	merely	merely	ADV
ajset-575	108	17	in	in	ADP
ajset-575	108	18	response	response	NOUN
ajset-575	108	19	to	to	ADP
ajset-575	108	20	the	the	DET
ajset-575	108	21	time	time	NOUN
ajset-575	108	22	dilation	dilation	NOUN
ajset-575	108	23	of	of	ADP
ajset-575	108	24	the	the	DET
ajset-575	108	25	electron	electron	NOUN
ajset-575	108	26	’s	’s	PART
ajset-575	108	27	electromagnetic	electromagnetic	ADJ
ajset-575	108	28	wave	wave	NOUN
ajset-575	108	29	.	.	PUNCT
ajset-575	109	1	therefore	therefore	ADV
ajset-575	109	2	,	,	PUNCT
ajset-575	109	3	real	real	ADJ
ajset-575	109	4	time	time	NOUN
ajset-575	109	5	does	do	AUX
ajset-575	109	6	not	not	PART
ajset-575	109	7	slow	slow	VERB
ajset-575	109	8	down	down	ADP
ajset-575	109	9	according	accord	VERB
ajset-575	109	10	to	to	ADP
ajset-575	109	11	the	the	DET
ajset-575	109	12	special	special	ADJ
ajset-575	109	13	theory	theory	NOUN
ajset-575	109	14	of	of	ADP
ajset-575	109	15	relativity	relativity	NOUN
ajset-575	109	16	;	;	PUNCT
ajset-575	109	17	rather	rather	ADV
ajset-575	109	18	,	,	PUNCT
ajset-575	109	19	the	the	DET
ajset-575	109	20	fact	fact	NOUN
ajset-575	109	21	of	of	ADP
ajset-575	109	22	time	time	NOUN
ajset-575	109	23	dilation	dilation	NOUN
ajset-575	109	24	is	be	AUX
ajset-575	109	25	due	due	ADJ
ajset-575	109	26	to	to	ADP
ajset-575	109	27	the	the	DET
ajset-575	109	28	electron	electron	NOUN
ajset-575	109	29	’s	’s	PART
ajset-575	109	30	(	(	PUNCT
ajset-575	109	31	and	and	CCONJ
ajset-575	109	32	positron	positron	NOUN
ajset-575	109	33	’s	’s	PART
ajset-575	109	34	)	)	PUNCT
ajset-575	109	35	spin	spin	NOUN
ajset-575	109	36	of	of	ADP
ajset-575	109	37	its	its	PRON
ajset-575	109	38	electromagnetic	electromagnetic	ADJ
ajset-575	109	39	wave	wave	NOUN
ajset-575	109	40	coupled	couple	VERB
ajset-575	109	41	with	with	ADP
ajset-575	109	42	the	the	DET
ajset-575	109	43	constant	constant	ADJ
ajset-575	109	44	speed	speed	NOUN
ajset-575	109	45	of	of	ADP
ajset-575	109	46	light	light	NOUN
ajset-575	109	47	at	at	ADP
ajset-575	109	48	a	a	DET
ajset-575	109	49	given	give	VERB
ajset-575	109	50	radial	radial	ADJ
ajset-575	109	51	distance	distance	NOUN
ajset-575	109	52	from	from	ADP
ajset-575	109	53	the	the	DET
ajset-575	109	54	axis	axis	NOUN
ajset-575	109	55	of	of	ADP
ajset-575	109	56	the	the	DET
ajset-575	109	57	electron	electron	NOUN
ajset-575	109	58	’s	’s	PART
ajset-575	109	59	rotation	rotation	NOUN
ajset-575	109	60	.	.	PUNCT
ajset-575	110	1	4	4	X
ajset-575	110	2	.	.	NUM
ajset-575	110	3	required	require	VERB
ajset-575	110	4	length	length	NOUN
ajset-575	110	5	contraction	contraction	NOUN
ajset-575	110	6	the	the	DET
ajset-575	110	7	direction	direction	NOUN
ajset-575	110	8	of	of	ADP
ajset-575	110	9	propagation	propagation	NOUN
ajset-575	110	10	of	of	ADP
ajset-575	110	11	an	an	DET
ajset-575	110	12	electromagnetic	electromagnetic	ADJ
ajset-575	110	13	wave	wave	NOUN
ajset-575	110	14	must	must	AUX
ajset-575	110	15	always	always	ADV
ajset-575	110	16	be	be	AUX
ajset-575	110	17	at	at	ADP
ajset-575	110	18	right	right	ADJ
ajset-575	110	19	angles	angle	NOUN
ajset-575	110	20	to	to	ADP
ajset-575	110	21	the	the	DET
ajset-575	110	22	direction	direction	NOUN
ajset-575	110	23	of	of	ADP
ajset-575	110	24	both	both	CCONJ
ajset-575	110	25	its	its	PRON
ajset-575	110	26	electric	electric	ADJ
ajset-575	110	27	and	and	CCONJ
ajset-575	110	28	magnetic	magnetic	ADJ
ajset-575	110	29	fields	field	NOUN
ajset-575	110	30	.	.	PUNCT
ajset-575	111	1	therefore	therefore	ADV
ajset-575	111	2	,	,	PUNCT
ajset-575	111	3	an	an	DET
ajset-575	111	4	rw	rw	NOUN
ajset-575	111	5	with	with	ADP
ajset-575	111	6	translational	translational	ADJ
ajset-575	111	7	motion	motion	NOUN
ajset-575	111	8	will	will	AUX
ajset-575	111	9	have	have	AUX
ajset-575	111	10	each	each	PRON
ajset-575	111	11	rotating	rotate	VERB
ajset-575	111	12	planar	planar	ADJ
ajset-575	111	13	wave	wave	NOUN
ajset-575	111	14	front	front	NOUN
ajset-575	111	15	reoriented	reorient	VERB
ajset-575	111	16	such	such	ADJ
ajset-575	111	17	that	that	SCONJ
ajset-575	111	18	each	each	DET
ajset-575	111	19	respective	respective	ADJ
ajset-575	111	20	resultant	resultant	NOUN
ajset-575	111	21	velocity	velocity	NOUN
ajset-575	111	22	c	c	NOUN
ajset-575	111	23	,	,	PUNCT
ajset-575	111	24	as	as	SCONJ
ajset-575	111	25	previously	previously	ADV
ajset-575	111	26	shown	show	VERB
ajset-575	111	27	in	in	ADP
ajset-575	111	28	figure	figure	NOUN
ajset-575	111	29	5	5	NUM
ajset-575	111	30	,	,	PUNCT
ajset-575	111	31	will	will	AUX
ajset-575	111	32	be	be	AUX
ajset-575	111	33	normal	normal	ADJ
ajset-575	111	34	to	to	ADP
ajset-575	111	35	the	the	DET
ajset-575	111	36	wave	wave	NOUN
ajset-575	111	37	front	front	NOUN
ajset-575	111	38	.	.	PUNCT
ajset-575	112	1	figure	figure	NOUN
ajset-575	112	2	6	6	NUM
ajset-575	112	3	shows	show	VERB
ajset-575	112	4	a	a	DET
ajset-575	112	5	side	side	NOUN
ajset-575	112	6	elevation	elevation	NOUN
ajset-575	112	7	of	of	ADP
ajset-575	112	8	an	an	DET
ajset-575	112	9	electron	electron	NOUN
ajset-575	112	10	moving	move	VERB
ajset-575	112	11	with	with	ADP
ajset-575	112	12	a	a	DET
ajset-575	112	13	translational	translational	ADJ
ajset-575	112	14	velocity	velocity	NOUN
ajset-575	112	15	v	v	NOUN
ajset-575	112	16	and	and	CCONJ
ajset-575	112	17	viewed	view	VERB
ajset-575	112	18	at	at	ADP
ajset-575	112	19	an	an	DET
ajset-575	112	20	observed	observed	ADJ
ajset-575	112	21	radius	radius	NOUN
ajset-575	112	22	r	r	NOUN
ajset-575	112	23	=	=	SYM
ajset-575	112	24	0/2	0/2	NUM
ajset-575	112	25	.	.	PUNCT
ajset-575	113	1	since	since	SCONJ
ajset-575	113	2	the	the	DET
ajset-575	113	3	electric	electric	ADJ
ajset-575	113	4	field	field	NOUN
ajset-575	113	5	of	of	ADP
ajset-575	113	6	an	an	DET
ajset-575	113	7	electron	electron	NOUN
ajset-575	113	8	must	must	AUX
ajset-575	113	9	always	always	ADV
ajset-575	113	10	point	point	VERB
ajset-575	113	11	to	to	ADP
ajset-575	113	12	the	the	DET
ajset-575	113	13	centre	centre	NOUN
ajset-575	113	14	,	,	PUNCT
ajset-575	113	15	then	then	ADV
ajset-575	113	16	the	the	DET
ajset-575	113	17	rotating	rotate	VERB
ajset-575	113	18	wave	wave	NOUN
ajset-575	113	19	of	of	ADP
ajset-575	113	20	a	a	DET
ajset-575	113	21	moving	move	VERB
ajset-575	113	22	electron	electron	NOUN
ajset-575	113	23	wavicle	wavicle	NOUN
ajset-575	113	24	will	will	AUX
ajset-575	113	25	be	be	AUX
ajset-575	113	26	inclined	incline	VERB
ajset-575	113	27	from	from	ADP
ajset-575	113	28	the	the	DET
ajset-575	113	29	normal	normal	ADJ
ajset-575	113	30	axis	axis	NOUN
ajset-575	113	31	of	of	ADP
ajset-575	113	32	rotation	rotation	NOUN
ajset-575	113	33	of	of	ADP
ajset-575	113	34	a	a	DET
ajset-575	113	35	stationary	stationary	ADJ
ajset-575	113	36	electron	electron	NOUN
ajset-575	113	37	such	such	ADJ
ajset-575	113	38	that	that	SCONJ
ajset-575	113	39	the	the	DET
ajset-575	113	40	rotating	rotate	VERB
ajset-575	113	41	wave	wave	NOUN
ajset-575	113	42	of	of	ADP
ajset-575	113	43	a	a	DET
ajset-575	113	44	moving	move	VERB
ajset-575	113	45	electron	electron	NOUN
ajset-575	113	46	will	will	AUX
ajset-575	113	47	trace	trace	VERB
ajset-575	113	48	a	a	DET
ajset-575	113	49	helical	helical	ADJ
ajset-575	113	50	path	path	NOUN
ajset-575	113	51	through	through	ADP
ajset-575	113	52	the	the	DET
ajset-575	113	53	electromagnetic	electromagnetic	ADJ
ajset-575	113	54	vacuum	vacuum	NOUN
ajset-575	113	55	field	field	NOUN
ajset-575	113	56	.	.	PUNCT
ajset-575	114	1	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	114	2	academic	academic	ADJ
ajset-575	114	3	journal	journal	NOUN
ajset-575	114	4	of	of	ADP
ajset-575	114	5	science	science	NOUN
ajset-575	114	6	,	,	PUNCT
ajset-575	114	7	engineering	engineering	NOUN
ajset-575	114	8	and	and	CCONJ
ajset-575	114	9	technology	technology	NOUN
ajset-575	114	10	vol.6	vol.6	PROPN
ajset-575	114	11	,	,	PUNCT
ajset-575	114	12	issue	issue	NOUN
ajset-575	114	13	1	1	NUM
ajset-575	114	14	;	;	PUNCT
ajset-575	114	15	january	january	PROPN
ajset-575	114	16	febuary	febuary	PROPN
ajset-575	114	17	2021	2021	NUM
ajset-575	114	18	;	;	PUNCT
ajset-575	114	19	1252	1252	NUM
ajset-575	114	20	columbia	columbia	PROPN
ajset-575	114	21	rd	rd	PROPN
ajset-575	114	22	nw	nw	PROPN
ajset-575	114	23	,	,	PUNCT
ajset-575	114	24	washington	washington	PROPN
ajset-575	114	25	dc	dc	PROPN
ajset-575	114	26	,	,	PUNCT
ajset-575	114	27	united	united	PROPN
ajset-575	114	28	states	states	PROPN
ajset-575	114	29	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	114	30	;	;	PUNCT
ajset-575	114	31	mail	mail	NOUN
ajset-575	114	32	:	:	PUNCT
ajset-575	114	33	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	115	1	54	54	NUM
ajset-575	116	1	|	|	ADV
ajset-575	116	2	a	a	DET
ajset-575	116	3	c	c	NOUN
ajset-575	116	4	a	a	PRON
ajset-575	116	5	d	d	X
ajset-575	116	6	e	e	NOUN
ajset-575	116	7	m	m	NOUN
ajset-575	116	8	i	i	NOUN
ajset-575	116	9	c	c	NOUN
ajset-575	116	10	j	j	NOUN
ajset-575	116	11	o	o	X
ajset-575	116	12	u	u	NOUN
ajset-575	116	13	r	r	NOUN
ajset-575	116	14	n	n	NOUN
ajset-575	116	15	a	a	DET
ajset-575	116	16	l	l	NOUN
ajset-575	117	1	o	o	X
ajset-575	117	2	f	f	X
ajset-575	117	3	s	s	X
ajset-575	117	4	c	c	NOUN
ajset-575	118	1	i	i	NOUN
ajset-575	118	2	e	e	PROPN
ajset-575	118	3	n	n	PROPN
ajset-575	118	4	c	c	NOUN
ajset-575	118	5	e	e	X
ajset-575	118	6	,	,	PUNCT
ajset-575	118	7	e	e	PROPN
ajset-575	118	8	n	n	PRON
ajset-575	118	9	g	g	NOUN
ajset-575	118	10	i	i	PRON
ajset-575	118	11	n	n	VERB
ajset-575	118	12	e	e	NOUN
ajset-575	118	13	e	e	NOUN
ajset-575	118	14	r	r	VERB
ajset-575	118	15	i	i	PRON
ajset-575	118	16	n	n	CCONJ
ajset-575	118	17	g	g	PROPN
ajset-575	118	18	a	a	DET
ajset-575	118	19	n	n	NOUN
ajset-575	118	20	d	d	NOUN
ajset-575	118	21	t	t	NOUN
ajset-575	118	22	e	e	X
ajset-575	118	23	c	c	NOUN
ajset-575	118	24	h	h	NOUN
ajset-575	118	25	n	n	ADV
ajset-575	118	26	o	o	NOUN
ajset-575	118	27	l	l	NOUN
ajset-575	119	1	o	o	X
ajset-575	119	2	g	g	NOUN
ajset-575	119	3	y	y	PROPN
ajset-575	119	4	|	|	ADV
ajset-575	119	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	119	6	figure	figure	NOUN
ajset-575	119	7	6	6	NUM
ajset-575	119	8	:	:	PUNCT
ajset-575	119	9	side	side	NOUN
ajset-575	119	10	elevation	elevation	NOUN
ajset-575	119	11	of	of	ADP
ajset-575	119	12	moving	move	VERB
ajset-575	119	13	electron	electron	NOUN
ajset-575	119	14	wavicle	wavicle	NOUN
ajset-575	119	15	with	with	ADP
ajset-575	119	16	translational	translational	ADJ
ajset-575	119	17	velocity	velocity	NOUN
ajset-575	119	18	v	v	NOUN
ajset-575	119	19	at	at	ADP
ajset-575	119	20	an	an	DET
ajset-575	119	21	observed	observed	ADJ
ajset-575	119	22	radius	radius	NOUN
ajset-575	119	23	r	r	NOUN
ajset-575	119	24	=	=	SYM
ajset-575	119	25	0/2	0/2	NUM
ajset-575	119	26	from	from	ADP
ajset-575	119	27	figure	figure	NOUN
ajset-575	119	28	6	6	NUM
ajset-575	119	29	we	we	PRON
ajset-575	119	30	can	can	AUX
ajset-575	119	31	see	see	VERB
ajset-575	119	32	that	that	PRON
ajset-575	119	33	for	for	ADP
ajset-575	119	34	a	a	DET
ajset-575	119	35	given	give	VERB
ajset-575	119	36	electric	electric	ADJ
ajset-575	119	37	field	field	NOUN
ajset-575	119	38	at	at	ADP
ajset-575	119	39	an	an	DET
ajset-575	119	40	observed	observed	ADJ
ajset-575	119	41	radius	radius	NOUN
ajset-575	119	42	r	r	NOUN
ajset-575	119	43	=	=	SYM
ajset-575	119	44	0/2	0/2	NUM
ajset-575	119	45	,	,	PUNCT
ajset-575	119	46	is	be	AUX
ajset-575	119	47	the	the	DET
ajset-575	119	48	length	length	NOUN
ajset-575	119	49	of	of	ADP
ajset-575	119	50	the	the	DET
ajset-575	119	51	wavicle	wavicle	NOUN
ajset-575	119	52	contracts	contract	NOUN
ajset-575	119	53	in	in	ADP
ajset-575	119	54	the	the	DET
ajset-575	119	55	direction	direction	NOUN
ajset-575	119	56	of	of	ADP
ajset-575	119	57	its	its	PRON
ajset-575	119	58	motion	motion	NOUN
ajset-575	119	59	by	by	ADP
ajset-575	119	60	a	a	DET
ajset-575	119	61	factor	factor	NOUN
ajset-575	119	62	of	of	ADP
ajset-575	119	63	vr	vr	PROPN
ajset-575	119	64	/	/	SYM
ajset-575	119	65	c	c	PROPN
ajset-575	119	66	such	such	ADJ
ajset-575	119	67	that	that	PRON
ajset-575	119	68	:	:	PUNCT
ajset-575	119	69	v	v	NUM
ajset-575	119	70	r	r	NOUN
ajset-575	119	71	2	2	NUM
ajset-575	119	72	2	2	NUM
ajset-575	119	73	1/2	1/2	NUM
ajset-575	119	74	=	=	PUNCT
ajset-575	119	75	and	and	CCONJ
ajset-575	119	76	vr	vr	NOUN
ajset-575	119	77	=	=	SYM
ajset-575	119	78	(	(	PUNCT
ajset-575	119	79	c	c	NOUN
ajset-575	119	80	v	v	NOUN
ajset-575	119	81	)	)	PUNCT
ajset-575	119	82	0	0	NUM
ajset-575	119	83	c	c	NOUN
ajset-575	119	84	1/2	1/2	NUM
ajset-575	119	85	v2	v2	NOUN
ajset-575	119	86	=	=	SYM
ajset-575	119	87	0	0	NUM
ajset-575	119	88	1	1	NUM
ajset-575	119	89	c2	c2	NOUN
ajset-575	119	90	which	which	PRON
ajset-575	119	91	is	be	AUX
ajset-575	119	92	the	the	DET
ajset-575	119	93	length	length	NOUN
ajset-575	119	94	contraction	contraction	NOUN
ajset-575	119	95	formula	formula	NOUN
ajset-575	119	96	for	for	ADP
ajset-575	119	97	the	the	DET
ajset-575	119	98	transformation	transformation	NOUN
ajset-575	119	99	laws	law	NOUN
ajset-575	119	100	of	of	ADP
ajset-575	119	101	the	the	DET
ajset-575	119	102	special	special	ADJ
ajset-575	119	103	theory	theory	NOUN
ajset-575	119	104	of	of	ADP
ajset-575	119	105	relativity	relativity	NOUN
ajset-575	119	106	.	.	PUNCT
ajset-575	120	1	since	since	SCONJ
ajset-575	120	2	the	the	DET
ajset-575	120	3	equilibrium	equilibrium	NOUN
ajset-575	120	4	distance	distance	NOUN
ajset-575	120	5	between	between	ADP
ajset-575	120	6	wavicles	wavicle	NOUN
ajset-575	120	7	is	be	AUX
ajset-575	120	8	assumed	assume	VERB
ajset-575	120	9	to	to	PART
ajset-575	120	10	be	be	AUX
ajset-575	120	11	ultimately	ultimately	ADV
ajset-575	120	12	determined	determine	VERB
ajset-575	120	13	by	by	ADP
ajset-575	120	14	their	their	PRON
ajset-575	120	15	electromagnetic	electromagnetic	ADJ
ajset-575	120	16	fields	field	NOUN
ajset-575	120	17	,	,	PUNCT
ajset-575	120	18	then	then	ADV
ajset-575	120	19	the	the	DET
ajset-575	120	20	distance	distance	NOUN
ajset-575	120	21	between	between	ADP
ajset-575	120	22	rw	rw	NOUN
ajset-575	120	23	’s	’s	PART
ajset-575	120	24	should	should	AUX
ajset-575	120	25	contract	contract	VERB
ajset-575	120	26	correspondingly	correspondingly	ADV
ajset-575	120	27	in	in	ADP
ajset-575	120	28	the	the	DET
ajset-575	120	29	direction	direction	NOUN
ajset-575	120	30	of	of	ADP
ajset-575	120	31	their	their	PRON
ajset-575	120	32	motion	motion	NOUN
ajset-575	120	33	.	.	PUNCT
ajset-575	121	1	therefore	therefore	ADV
ajset-575	121	2	,	,	PUNCT
ajset-575	121	3	the	the	DET
ajset-575	121	4	required	require	VERB
ajset-575	121	5	length	length	NOUN
ajset-575	121	6	contraction	contraction	NOUN
ajset-575	121	7	is	be	AUX
ajset-575	121	8	due	due	ADJ
ajset-575	121	9	to	to	ADP
ajset-575	121	10	the	the	DET
ajset-575	121	11	rw	rw	NOUN
ajset-575	121	12	’s	’s	PART
ajset-575	121	13	spin	spin	NOUN
ajset-575	121	14	of	of	ADP
ajset-575	121	15	its	its	PRON
ajset-575	121	16	electromagnetic	electromagnetic	ADJ
ajset-575	121	17	wave	wave	NOUN
ajset-575	121	18	,	,	PUNCT
ajset-575	121	19	coupled	couple	VERB
ajset-575	121	20	with	with	ADP
ajset-575	121	21	the	the	DET
ajset-575	121	22	fact	fact	NOUN
ajset-575	121	23	that	that	SCONJ
ajset-575	121	24	the	the	DET
ajset-575	121	25	direction	direction	NOUN
ajset-575	121	26	of	of	ADP
ajset-575	121	27	propagation	propagation	NOUN
ajset-575	121	28	of	of	ADP
ajset-575	121	29	an	an	DET
ajset-575	121	30	electromagnetic	electromagnetic	ADJ
ajset-575	121	31	wave	wave	NOUN
ajset-575	121	32	must	must	AUX
ajset-575	121	33	always	always	ADV
ajset-575	121	34	be	be	AUX
ajset-575	121	35	at	at	ADP
ajset-575	121	36	right	right	ADJ
ajset-575	121	37	angles	angle	NOUN
ajset-575	121	38	to	to	ADP
ajset-575	121	39	the	the	DET
ajset-575	121	40	direction	direction	NOUN
ajset-575	121	41	of	of	ADP
ajset-575	121	42	both	both	CCONJ
ajset-575	121	43	its	its	PRON
ajset-575	121	44	electric	electric	ADJ
ajset-575	121	45	and	and	CCONJ
ajset-575	121	46	magnetic	magnetic	ADJ
ajset-575	121	47	fields	field	NOUN
ajset-575	121	48	.	.	PUNCT
ajset-575	122	1	note	note	VERB
ajset-575	122	2	that	that	SCONJ
ajset-575	122	3	as	as	SCONJ
ajset-575	122	4	indicated	indicate	VERB
ajset-575	122	5	in	in	ADP
ajset-575	122	6	figure	figure	NOUN
ajset-575	122	7	6	6	NUM
ajset-575	122	8	,	,	PUNCT
ajset-575	122	9	the	the	DET
ajset-575	122	10	magnetic	magnetic	ADJ
ajset-575	122	11	poles	pole	NOUN
ajset-575	122	12	of	of	ADP
ajset-575	122	13	the	the	DET
ajset-575	122	14	electron	electron	NOUN
ajset-575	122	15	are	be	AUX
ajset-575	122	16	displaced	displace	VERB
ajset-575	122	17	from	from	ADP
ajset-575	122	18	the	the	DET
ajset-575	122	19	line	line	NOUN
ajset-575	122	20	of	of	ADP
ajset-575	122	21	the	the	DET
ajset-575	122	22	electron	electron	NOUN
ajset-575	122	23	’s	’s	PART
ajset-575	122	24	translational	translational	ADJ
ajset-575	122	25	motion	motion	NOUN
ajset-575	122	26	,	,	PUNCT
ajset-575	122	27	thus	thus	ADV
ajset-575	122	28	inducing	induce	VERB
ajset-575	122	29	the	the	DET
ajset-575	122	30	required	require	VERB
ajset-575	122	31	magnetic	magnetic	ADJ
ajset-575	122	32	field	field	NOUN
ajset-575	122	33	of	of	ADP
ajset-575	122	34	a	a	DET
ajset-575	122	35	moving	move	VERB
ajset-575	122	36	field	field	NOUN
ajset-575	122	37	of	of	ADP
ajset-575	122	38	a	a	DET
ajset-575	122	39	moving	move	VERB
ajset-575	122	40	charge	charge	NOUN
ajset-575	122	41	.	.	PUNCT
ajset-575	123	1	at	at	ADP
ajset-575	123	2	any	any	DET
ajset-575	123	3	one	one	NUM
ajset-575	123	4	instance	instance	NOUN
ajset-575	123	5	this	this	DET
ajset-575	123	6	displacement	displacement	NOUN
ajset-575	123	7	would	would	AUX
ajset-575	123	8	be	be	AUX
ajset-575	123	9	characterized	characterize	VERB
ajset-575	123	10	by	by	ADP
ajset-575	123	11	two	two	NUM
ajset-575	123	12	polar	polar	ADJ
ajset-575	123	13	cones	cone	NOUN
ajset-575	123	14	:	:	PUNCT
ajset-575	123	15	one	one	NUM
ajset-575	123	16	extending	extend	VERB
ajset-575	123	17	out	out	ADP
ajset-575	123	18	forward	forward	ADV
ajset-575	123	19	and	and	CCONJ
ajset-575	123	20	one	one	NUM
ajset-575	123	21	extending	extend	VERB
ajset-575	123	22	out	out	ADV
ajset-575	123	23	backward	backward	ADV
ajset-575	123	24	from	from	ADP
ajset-575	123	25	the	the	DET
ajset-575	123	26	direction	direction	NOUN
ajset-575	123	27	of	of	ADP
ajset-575	123	28	the	the	DET
ajset-575	123	29	electron	electron	NOUN
ajset-575	123	30	’s	’s	PART
ajset-575	123	31	motion	motion	NOUN
ajset-575	123	32	.	.	PUNCT
ajset-575	124	1	a	a	DET
ajset-575	124	2	stroboscopic	stroboscopic	ADJ
ajset-575	124	3	detection	detection	NOUN
ajset-575	124	4	of	of	ADP
ajset-575	124	5	this	this	DET
ajset-575	124	6	polar	polar	ADJ
ajset-575	124	7	cone	cone	NOUN
ajset-575	124	8	by	by	ADP
ajset-575	124	9	an	an	DET
ajset-575	124	10	apparatus	apparatus	NOUN
ajset-575	124	11	similar	similar	ADJ
ajset-575	124	12	to	to	ADP
ajset-575	124	13	a	a	DET
ajset-575	124	14	cathode	cathode	NOUN
ajset-575	124	15	ray	ray	NOUN
ajset-575	124	16	oscilloscope	oscilloscope	NOUN
ajset-575	124	17	would	would	AUX
ajset-575	124	18	prove	prove	VERB
ajset-575	124	19	the	the	DET
ajset-575	124	20	physical	physical	ADJ
ajset-575	124	21	length	length	NOUN
ajset-575	124	22	contraction	contraction	NOUN
ajset-575	124	23	of	of	ADP
ajset-575	124	24	the	the	DET
ajset-575	124	25	electron	electron	NOUN
ajset-575	124	26	as	as	SCONJ
ajset-575	124	27	required	require	VERB
ajset-575	124	28	by	by	ADP
ajset-575	124	29	the	the	DET
ajset-575	124	30	concept	concept	NOUN
ajset-575	124	31	of	of	ADP
ajset-575	124	32	the	the	DET
ajset-575	124	33	rw.figures	rw.figure	NOUN
ajset-575	124	34	7	7	NUM
ajset-575	124	35	,	,	PUNCT
ajset-575	124	36	8	8	NUM
ajset-575	124	37	,	,	PUNCT
ajset-575	124	38	and	and	CCONJ
ajset-575	124	39	9	9	NUM
ajset-575	124	40	further	far	ADV
ajset-575	124	41	clarify	clarify	VERB
ajset-575	124	42	how	how	SCONJ
ajset-575	124	43	the	the	DET
ajset-575	124	44	configuration	configuration	NOUN
ajset-575	124	45	of	of	ADP
ajset-575	124	46	the	the	DET
ajset-575	124	47	rw	rw	NOUN
ajset-575	124	48	transforms	transform	VERB
ajset-575	124	49	when	when	SCONJ
ajset-575	124	50	put	put	VERB
ajset-575	124	51	in	in	ADP
ajset-575	124	52	motion	motion	NOUN
ajset-575	124	53	.	.	PUNCT
ajset-575	125	1	figure	figure	NOUN
ajset-575	125	2	9	9	NUM
ajset-575	125	3	more	more	ADV
ajset-575	125	4	clearly	clearly	ADV
ajset-575	125	5	illustrates	illustrate	VERB
ajset-575	125	6	the	the	DET
ajset-575	125	7	forward	forward	ADV
ajset-575	125	8	polar	polar	ADJ
ajset-575	125	9	cone	cone	NOUN
ajset-575	125	10	(	(	PUNCT
ajset-575	125	11	rear	rear	ADJ
ajset-575	125	12	polar	polar	ADJ
ajset-575	125	13	cone	cone	NOUN
ajset-575	125	14	is	be	AUX
ajset-575	125	15	hidden	hide	VERB
ajset-575	125	16	)	)	PUNCT
ajset-575	125	17	and	and	CCONJ
ajset-575	125	18	illustrates	illustrate	VERB
ajset-575	125	19	the	the	DET
ajset-575	125	20	induced	induced	ADJ
ajset-575	125	21	,	,	PUNCT
ajset-575	125	22	right	right	ADV
ajset-575	125	23	-	-	PUNCT
ajset-575	125	24	handed	handed	ADJ
ajset-575	125	25	magnetic	magnetic	ADJ
ajset-575	125	26	field	field	NOUN
ajset-575	125	27	.	.	PUNCT
ajset-575	126	1	figure	figure	VERB
ajset-575	126	2	7	7	NUM
ajset-575	126	3	:	:	PUNCT
ajset-575	126	4	stationary	stationary	ADJ
ajset-575	126	5	wavicle	wavicle	NOUN
ajset-575	126	6	vr	vr	PROPN
ajset-575	126	7	=	=	PUNCT
ajset-575	126	8	c	c	PROPN
ajset-575	126	9	oblique	oblique	ADJ
ajset-575	126	10	elevation	elevation	NOUN
ajset-575	126	11	of	of	ADP
ajset-575	126	12	stationary	stationary	ADJ
ajset-575	126	13	electron	electron	NOUN
ajset-575	126	14	rw	rw	NOUN
ajset-575	126	15	with	with	ADP
ajset-575	126	16	magnetic	magnetic	ADJ
ajset-575	126	17	lines	line	NOUN
ajset-575	126	18	of	of	ADP
ajset-575	126	19	force	force	PROPN
ajset-575	126	20	b	b	PROPN
ajset-575	126	21	(	(	PUNCT
ajset-575	126	22	electric	electric	ADJ
ajset-575	126	23	field	field	NOUN
ajset-575	126	24	not	not	PART
ajset-575	126	25	shown	show	VERB
ajset-575	126	26	here	here	ADV
ajset-575	126	27	for	for	ADP
ajset-575	126	28	simplicity	simplicity	NOUN
ajset-575	126	29	)	)	PUNCT
ajset-575	126	30	and	and	CCONJ
ajset-575	126	31	nodal	nodal	NOUN
ajset-575	126	32	wave	wave	NOUN
ajset-575	126	33	front	front	NOUN
ajset-575	126	34	spinning	spin	VERB
ajset-575	126	35	with	with	ADP
ajset-575	126	36	tangential	tangential	ADJ
ajset-575	126	37	velocity	velocity	NOUN
ajset-575	126	38	c	c	NOUN
ajset-575	126	39	.	.	PUNCT
ajset-575	127	1	(	(	PUNCT
ajset-575	127	2	0	0	NUM
ajset-575	127	3	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	127	4	academic	academic	ADJ
ajset-575	127	5	journal	journal	NOUN
ajset-575	127	6	of	of	ADP
ajset-575	127	7	science	science	NOUN
ajset-575	127	8	,	,	PUNCT
ajset-575	127	9	engineering	engineering	NOUN
ajset-575	127	10	and	and	CCONJ
ajset-575	127	11	technology	technology	NOUN
ajset-575	127	12	vol.6	vol.6	PROPN
ajset-575	127	13	,	,	PUNCT
ajset-575	127	14	issue	issue	NOUN
ajset-575	127	15	1	1	NUM
ajset-575	127	16	;	;	PUNCT
ajset-575	127	17	january	january	PROPN
ajset-575	127	18	febuary	febuary	PROPN
ajset-575	127	19	2021	2021	NUM
ajset-575	127	20	;	;	PUNCT
ajset-575	127	21	1252	1252	NUM
ajset-575	127	22	columbia	columbia	PROPN
ajset-575	127	23	rd	rd	PROPN
ajset-575	127	24	nw	nw	PROPN
ajset-575	127	25	,	,	PUNCT
ajset-575	127	26	washington	washington	PROPN
ajset-575	127	27	dc	dc	PROPN
ajset-575	127	28	,	,	PUNCT
ajset-575	127	29	united	united	PROPN
ajset-575	127	30	states	states	PROPN
ajset-575	127	31	https://topjournals.org/index.php/ajset/index	https://topjournals.org/index.php/ajset/index	PROPN
ajset-575	127	32	;	;	PUNCT
ajset-575	127	33	mail	mail	NOUN
ajset-575	127	34	:	:	PUNCT
ajset-575	127	35	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	128	1	55	55	NUM
ajset-575	129	1	|	|	ADV
ajset-575	129	2	a	a	DET
ajset-575	129	3	c	c	NOUN
ajset-575	129	4	a	a	PRON
ajset-575	129	5	d	d	X
ajset-575	129	6	e	e	NOUN
ajset-575	129	7	m	m	NOUN
ajset-575	129	8	i	i	NOUN
ajset-575	129	9	c	c	NOUN
ajset-575	129	10	j	j	NOUN
ajset-575	129	11	o	o	X
ajset-575	129	12	u	u	NOUN
ajset-575	129	13	r	r	NOUN
ajset-575	129	14	n	n	NOUN
ajset-575	129	15	a	a	DET
ajset-575	129	16	l	l	NOUN
ajset-575	130	1	o	o	X
ajset-575	130	2	f	f	X
ajset-575	130	3	s	s	X
ajset-575	130	4	c	c	NOUN
ajset-575	131	1	i	i	NOUN
ajset-575	131	2	e	e	PROPN
ajset-575	131	3	n	n	PROPN
ajset-575	131	4	c	c	NOUN
ajset-575	131	5	e	e	X
ajset-575	131	6	,	,	PUNCT
ajset-575	131	7	e	e	PROPN
ajset-575	131	8	n	n	PRON
ajset-575	131	9	g	g	NOUN
ajset-575	131	10	i	i	PRON
ajset-575	131	11	n	n	VERB
ajset-575	131	12	e	e	NOUN
ajset-575	131	13	e	e	NOUN
ajset-575	131	14	r	r	VERB
ajset-575	131	15	i	i	PRON
ajset-575	131	16	n	n	CCONJ
ajset-575	131	17	g	g	PROPN
ajset-575	131	18	a	a	DET
ajset-575	131	19	n	n	NOUN
ajset-575	131	20	d	d	NOUN
ajset-575	131	21	t	t	NOUN
ajset-575	131	22	e	e	X
ajset-575	131	23	c	c	NOUN
ajset-575	131	24	h	h	NOUN
ajset-575	131	25	n	n	ADV
ajset-575	131	26	o	o	NOUN
ajset-575	131	27	l	l	NOUN
ajset-575	132	1	o	o	X
ajset-575	132	2	g	g	NOUN
ajset-575	132	3	y	y	PROPN
ajset-575	132	4	|	|	ADV
ajset-575	132	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	132	6	figure	figure	NOUN
ajset-575	132	7	8	8	NUM
ajset-575	132	8	:	:	PUNCT
ajset-575	132	9	moving	move	VERB
ajset-575	132	10	wavicle	wavicle	NOUN
ajset-575	132	11	v	v	NOUN
ajset-575	132	12	r	r	NOUN
ajset-575	132	13	=	=	PUNCT
ajset-575	132	14	(	(	PUNCT
ajset-575	132	15	c2	c2	PROPN
ajset-575	132	16	v2)1/2	v2)1/2	NOUN
ajset-575	132	17	oblique	oblique	ADJ
ajset-575	132	18	elevation	elevation	NOUN
ajset-575	132	19	of	of	ADP
ajset-575	132	20	moving	move	VERB
ajset-575	132	21	electron	electron	NOUN
ajset-575	132	22	rw	rw	NOUN
ajset-575	132	23	with	with	ADP
ajset-575	132	24	magnetic	magnetic	ADJ
ajset-575	132	25	lines	line	NOUN
ajset-575	132	26	of	of	ADP
ajset-575	132	27	force	force	PROPN
ajset-575	132	28	b	b	PROPN
ajset-575	132	29	and	and	CCONJ
ajset-575	132	30	nodal	nodal	ADJ
ajset-575	132	31	wave	wave	NOUN
ajset-575	132	32	fronts	front	NOUN
ajset-575	132	33	reoriented	reorient	VERB
ajset-575	132	34	at	at	ADP
ajset-575	132	35	an	an	DET
ajset-575	132	36	angle	angle	NOUN
ajset-575	132	37	as	as	SCONJ
ajset-575	132	38	previously	previously	ADV
ajset-575	132	39	illustrated	illustrate	VERB
ajset-575	132	40	in	in	ADP
ajset-575	132	41	figure	figure	NOUN
ajset-575	132	42	6	6	NUM
ajset-575	132	43	.	.	PUNCT
ajset-575	132	44	figure	figure	NOUN
ajset-575	132	45	9	9	NUM
ajset-575	132	46	:	:	PUNCT
ajset-575	132	47	moving	move	VERB
ajset-575	132	48	rw	rw	NOUN
ajset-575	132	49	creating	create	VERB
ajset-575	132	50	a	a	DET
ajset-575	132	51	right	right	ADV
ajset-575	132	52	-	-	PUNCT
ajset-575	132	53	handed	handed	ADJ
ajset-575	132	54	magnetic	magnetic	ADJ
ajset-575	132	55	field	field	NOUN
ajset-575	132	56	oblique	oblique	ADJ
ajset-575	132	57	elevation	elevation	NOUN
ajset-575	132	58	of	of	ADP
ajset-575	132	59	moving	move	VERB
ajset-575	132	60	electron	electron	NOUN
ajset-575	132	61	rw	rw	NOUN
ajset-575	132	62	with	with	ADP
ajset-575	132	63	wave	wave	NOUN
ajset-575	132	64	fronts	front	NOUN
ajset-575	132	65	of	of	ADP
ajset-575	132	66	lessor	lessor	NOUN
ajset-575	132	67	field	field	NOUN
ajset-575	132	68	strengths	strength	NOUN
ajset-575	132	69	shown	show	VERB
ajset-575	132	70	as	as	ADV
ajset-575	132	71	well	well	ADV
ajset-575	132	72	as	as	ADP
ajset-575	132	73	the	the	DET
ajset-575	132	74	nodal	nodal	NOUN
ajset-575	132	75	wave	wave	NOUN
ajset-575	132	76	front	front	NOUN
ajset-575	132	77	(	(	PUNCT
ajset-575	132	78	highlighted	highlight	VERB
ajset-575	132	79	lines	line	NOUN
ajset-575	132	80	with	with	ADP
ajset-575	132	81	arrows	arrow	NOUN
ajset-575	132	82	)	)	PUNCT
ajset-575	132	83	.	.	PUNCT
ajset-575	133	1	this	this	DET
ajset-575	133	2	figure	figure	NOUN
ajset-575	133	3	clearly	clearly	ADV
ajset-575	133	4	indicates	indicate	VERB
ajset-575	133	5	a	a	DET
ajset-575	133	6	right	right	ADV
ajset-575	133	7	-	-	PUNCT
ajset-575	133	8	handed	handed	ADJ
ajset-575	133	9	induced	induce	VERB
ajset-575	133	10	magnetic	magnetic	ADJ
ajset-575	133	11	field	field	NOUN
ajset-575	133	12	.	.	PUNCT
ajset-575	134	1	5	5	X
ajset-575	134	2	.	.	X
ajset-575	134	3	a	a	DET
ajset-575	134	4	definition	definition	NOUN
ajset-575	134	5	of	of	ADP
ajset-575	134	6	rest	rest	NOUN
ajset-575	134	7	(	(	PUNCT
ajset-575	134	8	energy	energy	NOUN
ajset-575	134	9	)	)	PUNCT
ajset-575	134	10	mass	mass	PROPN
ajset-575	134	11	rest	rest	NOUN
ajset-575	134	12	mass	mass	NOUN
ajset-575	134	13	is	be	AUX
ajset-575	134	14	localized	localize	VERB
ajset-575	134	15	energy	energy	NOUN
ajset-575	134	16	without	without	ADP
ajset-575	134	17	translational	translational	ADJ
ajset-575	134	18	motion	motion	NOUN
ajset-575	134	19	;	;	PUNCT
ajset-575	134	20	therefore	therefore	ADV
ajset-575	134	21	,	,	PUNCT
ajset-575	134	22	according	accord	VERB
ajset-575	134	23	to	to	ADP
ajset-575	134	24	the	the	DET
ajset-575	134	25	concept	concept	NOUN
ajset-575	134	26	of	of	ADP
ajset-575	134	27	the	the	DET
ajset-575	134	28	electron	electron	NOUN
ajset-575	134	29	rw	rw	NOUN
ajset-575	134	30	,	,	PUNCT
ajset-575	134	31	the	the	DET
ajset-575	134	32	energy	energy	NOUN
ajset-575	134	33	of	of	ADP
ajset-575	134	34	rest	rest	NOUN
ajset-575	134	35	mass	mass	NOUN
ajset-575	134	36	called	call	VERB
ajset-575	134	37	rest	rest	NOUN
ajset-575	134	38	energy	energy	NOUN
ajset-575	134	39	e	e	NOUN
ajset-575	134	40	0	0	PUNCT
ajset-575	134	41	is	be	AUX
ajset-575	134	42	simply	simply	ADV
ajset-575	134	43	the	the	DET
ajset-575	134	44	rotational	rotational	ADJ
ajset-575	134	45	energy	energy	NOUN
ajset-575	134	46	er	er	INTJ
ajset-575	134	47	of	of	ADP
ajset-575	134	48	the	the	DET
ajset-575	134	49	half	half	ADJ
ajset-575	134	50	-	-	PUNCT
ajset-575	134	51	photon	photon	NOUN
ajset-575	134	52	which	which	PRON
ajset-575	134	53	is	be	AUX
ajset-575	134	54	rotating	rotate	VERB
ajset-575	134	55	in	in	ADP
ajset-575	134	56	one	one	NUM
ajset-575	134	57	spot	spot	NOUN
ajset-575	134	58	,	,	PUNCT
ajset-575	134	59	plus	plus	CCONJ
ajset-575	134	60	the	the	DET
ajset-575	134	61	binding	bind	VERB
ajset-575	134	62	energy	energy	NOUN
ajset-575	134	63	eb	eb	PROPN
ajset-575	134	64	which	which	PRON
ajset-575	134	65	keeps	keep	VERB
ajset-575	134	66	the	the	DET
ajset-575	134	67	half	half	ADJ
ajset-575	134	68	-	-	PUNCT
ajset-575	134	69	photon	photon	NOUN
ajset-575	134	70	in	in	ADP
ajset-575	134	71	that	that	DET
ajset-575	134	72	rotation	rotation	NOUN
ajset-575	134	73	.	.	PUNCT
ajset-575	135	1	the	the	DET
ajset-575	135	2	half	half	ADJ
ajset-575	135	3	-	-	PUNCT
ajset-575	135	4	photon	photon	NOUN
ajset-575	135	5	has	have	VERB
ajset-575	135	6	a	a	DET
ajset-575	135	7	kinematic	kinematic	ADJ
ajset-575	135	8	rotational	rotational	ADJ
ajset-575	135	9	energy	energy	NOUN
ajset-575	136	1	er	er	INTJ
ajset-575	136	2	=	=	SYM
ajset-575	136	3	h	h	NOUN
ajset-575	136	4	/2	/2	NOUN
ajset-575	136	5	which	which	PRON
ajset-575	136	6	is	be	AUX
ajset-575	136	7	equal	equal	ADJ
ajset-575	136	8	to	to	ADP
ajset-575	136	9	the	the	DET
ajset-575	136	10	binding	bind	VERB
ajset-575	136	11	energy	energy	NOUN
ajset-575	136	12	such	such	ADJ
ajset-575	136	13	that	that	SCONJ
ajset-575	136	14	the	the	DET
ajset-575	136	15	electron	electron	NOUN
ajset-575	136	16	’s	’s	PART
ajset-575	136	17	total	total	ADJ
ajset-575	136	18	rest	rest	NOUN
ajset-575	136	19	mass	mass	NOUN
ajset-575	136	20	energy	energy	NOUN
ajset-575	136	21	e0	e0	NOUN
ajset-575	136	22	=	=	PUNCT
ajset-575	136	23	er	er	INTJ
ajset-575	136	24	eb	eb	PROPN
ajset-575	136	25	=	=	SYM
ajset-575	136	26	2ere0	2ere0	PROPN
ajset-575	136	27	is	be	AUX
ajset-575	136	28	thus	thus	ADV
ajset-575	136	29	equal	equal	ADJ
ajset-575	136	30	to	to	ADP
ajset-575	136	31	a	a	DET
ajset-575	136	32	whole	whole	ADJ
ajset-575	136	33	photon	photon	NOUN
ajset-575	136	34	’s	’s	PART
ajset-575	136	35	energy	energy	NOUN
ajset-575	136	36	h	h	NOUN
ajset-575	136	37	as	as	SCONJ
ajset-575	136	38	given	give	VERB
ajset-575	136	39	by	by	ADP
ajset-575	136	40	planck	planck	NOUN
ajset-575	136	41	’s	’s	PART
ajset-575	136	42	constant	constant	ADJ
ajset-575	136	43	h	h	NOUN
ajset-575	136	44	and	and	CCONJ
ajset-575	136	45	the	the	DET
ajset-575	136	46	frequency	frequency	NOUN
ajset-575	136	47	of	of	ADP
ajset-575	136	48	the	the	DET
ajset-575	136	49	photon	photon	NOUN
ajset-575	136	50	.	.	PUNCT
ajset-575	137	1	according	accord	VERB
ajset-575	137	2	to	to	ADP
ajset-575	137	3	rotational	rotational	ADJ
ajset-575	137	4	kinematics	kinematic	NOUN
ajset-575	137	5	,	,	PUNCT
ajset-575	137	6	where	where	SCONJ
ajset-575	137	7	er	er	INTJ
ajset-575	137	8	is	be	AUX
ajset-575	137	9	the	the	DET
ajset-575	137	10	rotational	rotational	ADJ
ajset-575	137	11	energy	energy	NOUN
ajset-575	137	12	,	,	PUNCT
ajset-575	137	13	k	k	PROPN
ajset-575	137	14	is	be	AUX
ajset-575	137	15	an	an	DET
ajset-575	137	16	assigned	assign	VERB
ajset-575	137	17	constant	constant	ADJ
ajset-575	137	18	for	for	ADP
ajset-575	137	19	the	the	DET
ajset-575	137	20	derivation	derivation	NOUN
ajset-575	137	21	of	of	ADP
ajset-575	137	22	rotational	rotational	ADJ
ajset-575	137	23	inertia	inertia	NOUN
ajset-575	137	24	i	i	PRON
ajset-575	137	25	,	,	PUNCT
ajset-575	137	26	m0	m0	PROPN
ajset-575	137	27	is	be	AUX
ajset-575	137	28	a	a	DET
ajset-575	137	29	non	non	ADJ
ajset-575	137	30	-	-	ADJ
ajset-575	137	31	relative	relative	ADJ
ajset-575	137	32	mass	mass	NOUN
ajset-575	137	33	of	of	ADP
ajset-575	137	34	a	a	DET
ajset-575	137	35	symmetrical	symmetrical	ADJ
ajset-575	137	36	spinning	spinning	NOUN
ajset-575	137	37	object	object	NOUN
ajset-575	137	38	,	,	PUNCT
ajset-575	137	39	and	and	CCONJ
ajset-575	137	40	vr	vr	NOUN
ajset-575	137	41	is	be	AUX
ajset-575	137	42	the	the	DET
ajset-575	137	43	velocity	velocity	NOUN
ajset-575	137	44	of	of	ADP
ajset-575	137	45	spin	spin	NOUN
ajset-575	137	46	at	at	ADP
ajset-575	137	47	the	the	DET
ajset-575	137	48	radius	radius	NOUN
ajset-575	137	49	r	r	NOUN
ajset-575	137	50	0	0	NUM
ajset-575	137	51	of	of	ADP
ajset-575	137	52	the	the	DET
ajset-575	137	53	object	object	NOUN
ajset-575	137	54	,	,	PUNCT
ajset-575	137	55	then	then	ADV
ajset-575	137	56	e	e	SCONJ
ajset-575	137	57	r	r	NOUN
ajset-575	137	58	=	=	PUNCT
ajset-575	137	59	(	(	PUNCT
ajset-575	137	60	1/2)km	1/2)km	NUM
ajset-575	137	61	0	0	NUM
ajset-575	137	62	v	v	NOUN
ajset-575	137	63	r	r	NOUN
ajset-575	137	64	2	2	NUM
ajset-575	137	65	can	can	AUX
ajset-575	137	66	be	be	AUX
ajset-575	137	67	derived	derive	VERB
ajset-575	137	68	.	.	PUNCT
ajset-575	138	1	since	since	SCONJ
ajset-575	138	2	,	,	PUNCT
ajset-575	138	3	according	accord	VERB
ajset-575	138	4	to	to	ADP
ajset-575	138	5	the	the	DET
ajset-575	138	6	rw	rw	PROPN
ajset-575	138	7	concept	concept	NOUN
ajset-575	138	8	,	,	PUNCT
ajset-575	138	9	all	all	DET
ajset-575	138	10	mass	mass	NOUN
ajset-575	138	11	is	be	AUX
ajset-575	138	12	assumed	assume	VERB
ajset-575	138	13	to	to	PART
ajset-575	138	14	be	be	AUX
ajset-575	138	15	derived	derive	VERB
ajset-575	138	16	from	from	ADP
ajset-575	138	17	electromagnetic	electromagnetic	ADJ
ajset-575	138	18	waves	wave	NOUN
ajset-575	138	19	,	,	PUNCT
ajset-575	138	20	then	then	ADV
ajset-575	138	21	the	the	DET
ajset-575	138	22	rotational	rotational	ADJ
ajset-575	138	23	energy	energy	NOUN
ajset-575	138	24	and	and	CCONJ
ajset-575	138	25	non	non	ADJ
ajset-575	138	26	-	-	ADJ
ajset-575	138	27	relative	relative	ADJ
ajset-575	138	28	mass	mass	NOUN
ajset-575	138	29	of	of	ADP
ajset-575	138	30	the	the	DET
ajset-575	138	31	stationary	stationary	ADJ
ajset-575	138	32	rw	rw	NOUN
ajset-575	138	33	can	can	AUX
ajset-575	138	34	be	be	AUX
ajset-575	138	35	equated	equate	VERB
ajset-575	138	36	in	in	ADP
ajset-575	138	37	the	the	DET
ajset-575	138	38	same	same	ADJ
ajset-575	138	39	manner	manner	NOUN
ajset-575	138	40	.	.	PUNCT
ajset-575	139	1	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	139	2	academic	academic	ADJ
ajset-575	139	3	journal	journal	NOUN
ajset-575	139	4	of	of	ADP
ajset-575	139	5	science	science	NOUN
ajset-575	139	6	,	,	PUNCT
ajset-575	139	7	engineering	engineering	NOUN
ajset-575	139	8	and	and	CCONJ
ajset-575	139	9	technology	technology	NOUN
ajset-575	139	10	vol.6	vol.6	PROPN
ajset-575	139	11	,	,	PUNCT
ajset-575	139	12	issue	issue	NOUN
ajset-575	139	13	1	1	NUM
ajset-575	139	14	;	;	PUNCT
ajset-575	139	15	january	january	PROPN
ajset-575	139	16	febuary	febuary	PROPN
ajset-575	139	17	2021	2021	NUM
ajset-575	139	18	;	;	PUNCT
ajset-575	139	19	1252	1252	NUM
ajset-575	139	20	columbia	columbia	PROPN
ajset-575	139	21	rd	rd	PROPN
ajset-575	139	22	nw	nw	PROPN
ajset-575	139	23	,	,	PUNCT
ajset-575	139	24	washington	washington	PROPN
ajset-575	139	25	dc	dc	PROPN
ajset-575	139	26	,	,	PUNCT
ajset-575	139	27	united	united	PROPN
ajset-575	139	28	states	states	PROPN
ajset-575	139	29	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	139	30	;	;	PUNCT
ajset-575	139	31	mail	mail	NOUN
ajset-575	139	32	:	:	PUNCT
ajset-575	139	33	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	140	1	56	56	NUM
ajset-575	141	1	|	|	ADV
ajset-575	141	2	a	a	DET
ajset-575	141	3	c	c	NOUN
ajset-575	141	4	a	a	PRON
ajset-575	141	5	d	d	X
ajset-575	141	6	e	e	NOUN
ajset-575	141	7	m	m	NOUN
ajset-575	141	8	i	i	NOUN
ajset-575	141	9	c	c	NOUN
ajset-575	141	10	j	j	NOUN
ajset-575	141	11	o	o	X
ajset-575	141	12	u	u	NOUN
ajset-575	141	13	r	r	NOUN
ajset-575	141	14	n	n	NOUN
ajset-575	141	15	a	a	DET
ajset-575	141	16	l	l	NOUN
ajset-575	142	1	o	o	X
ajset-575	142	2	f	f	X
ajset-575	142	3	s	s	X
ajset-575	142	4	c	c	NOUN
ajset-575	143	1	i	i	NOUN
ajset-575	143	2	e	e	PROPN
ajset-575	143	3	n	n	PROPN
ajset-575	143	4	c	c	NOUN
ajset-575	143	5	e	e	X
ajset-575	143	6	,	,	PUNCT
ajset-575	143	7	e	e	PROPN
ajset-575	143	8	n	n	PRON
ajset-575	143	9	g	g	NOUN
ajset-575	143	10	i	i	PRON
ajset-575	143	11	n	n	VERB
ajset-575	143	12	e	e	NOUN
ajset-575	143	13	e	e	NOUN
ajset-575	143	14	r	r	VERB
ajset-575	143	15	i	i	PRON
ajset-575	143	16	n	n	CCONJ
ajset-575	143	17	g	g	PROPN
ajset-575	143	18	a	a	DET
ajset-575	143	19	n	n	NOUN
ajset-575	143	20	d	d	NOUN
ajset-575	143	21	t	t	NOUN
ajset-575	143	22	e	e	X
ajset-575	143	23	c	c	NOUN
ajset-575	143	24	h	h	NOUN
ajset-575	143	25	n	n	ADV
ajset-575	143	26	o	o	NOUN
ajset-575	143	27	l	l	NOUN
ajset-575	144	1	o	o	X
ajset-575	144	2	g	g	NOUN
ajset-575	144	3	y	y	PROPN
ajset-575	144	4	|	|	ADV
ajset-575	144	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	144	6	by	by	ADP
ajset-575	144	7	convention	convention	NOUN
ajset-575	144	8	,	,	PUNCT
ajset-575	144	9	k	k	PROPN
ajset-575	144	10	is	be	AUX
ajset-575	144	11	assigned	assign	VERB
ajset-575	144	12	the	the	DET
ajset-575	144	13	value	value	NOUN
ajset-575	144	14	of	of	ADP
ajset-575	144	15	unity	unity	NOUN
ajset-575	144	16	for	for	ADP
ajset-575	144	17	the	the	DET
ajset-575	144	18	wavicle	wavicle	NOUN
ajset-575	144	19	,	,	PUNCT
ajset-575	144	20	such	such	ADJ
ajset-575	144	21	that	that	SCONJ
ajset-575	144	22	all	all	DET
ajset-575	144	23	objects	object	NOUN
ajset-575	144	24	are	be	AUX
ajset-575	144	25	thus	thus	ADV
ajset-575	144	26	correctly	correctly	ADV
ajset-575	144	27	allowed	allow	VERB
ajset-575	144	28	to	to	PART
ajset-575	144	29	have	have	VERB
ajset-575	144	30	their	their	PRON
ajset-575	144	31	rotational	rotational	ADJ
ajset-575	144	32	inertia	inertia	NOUN
ajset-575	144	33	computed	compute	VERB
ajset-575	144	34	as	as	ADP
ajset-575	144	35	the	the	DET
ajset-575	144	36	summation	summation	NOUN
ajset-575	144	37	of	of	ADP
ajset-575	144	38	point	point	NOUN
ajset-575	144	39	wavicle	wavicle	NOUN
ajset-575	144	40	masses	masse	NOUN
ajset-575	144	41	at	at	ADP
ajset-575	144	42	their	their	PRON
ajset-575	144	43	respective	respective	ADJ
ajset-575	144	44	radii	radii	NOUN
ajset-575	144	45	.	.	PUNCT
ajset-575	145	1	therefore	therefore	ADV
ajset-575	145	2	,	,	PUNCT
ajset-575	145	3	e	e	X
ajset-575	145	4	r	r	NOUN
ajset-575	145	5	=	=	PUNCT
ajset-575	145	6	(	(	PUNCT
ajset-575	145	7	1/2)m	1/2)m	NUM
ajset-575	145	8	0c	0c	NOUN
ajset-575	145	9	2	2	NUM
ajset-575	145	10	for	for	ADP
ajset-575	145	11	a	a	DET
ajset-575	145	12	stationary	stationary	ADJ
ajset-575	145	13	electron	electron	NOUN
ajset-575	145	14	and	and	CCONJ
ajset-575	145	15	a	a	DET
ajset-575	145	16	stationary	stationary	ADJ
ajset-575	145	17	electron	electron	NOUN
ajset-575	145	18	will	will	AUX
ajset-575	145	19	thus	thus	ADV
ajset-575	145	20	have	have	VERB
ajset-575	145	21	a	a	DET
ajset-575	145	22	total	total	ADJ
ajset-575	145	23	rest	rest	NOUN
ajset-575	145	24	energy	energy	NOUN
ajset-575	145	25	e	e	NOUN
ajset-575	145	26	0	0	PUNCT
ajset-575	146	1	=	=	NOUN
ajset-575	146	2	m	m	VERB
ajset-575	146	3	0c	0c	NOUN
ajset-575	146	4	2	2	NUM
ajset-575	146	5	.	.	PUNCT
ajset-575	147	1	the	the	DET
ajset-575	147	2	rotational	rotational	ADJ
ajset-575	147	3	energy	energy	NOUN
ajset-575	147	4	of	of	ADP
ajset-575	147	5	a	a	DET
ajset-575	147	6	stationary	stationary	ADJ
ajset-575	147	7	electron	electron	NOUN
ajset-575	147	8	can	can	AUX
ajset-575	147	9	also	also	ADV
ajset-575	147	10	be	be	AUX
ajset-575	147	11	defined	define	VERB
ajset-575	147	12	in	in	ADP
ajset-575	147	13	kinematic	kinematic	ADJ
ajset-575	147	14	terms	term	NOUN
ajset-575	147	15	by	by	ADP
ajset-575	147	16	its	its	PRON
ajset-575	147	17	angular	angular	ADJ
ajset-575	147	18	frequency	frequency	NOUN
ajset-575	147	19	0	0	PUNCT
ajset-575	147	20	and	and	CCONJ
ajset-575	147	21	its	its	PRON
ajset-575	147	22	angular	angular	ADJ
ajset-575	147	23	momentum	momentum	NOUN
ajset-575	147	24	l0	l0	NOUN
ajset-575	147	25	such	such	ADJ
ajset-575	147	26	that	that	SCONJ
ajset-575	148	1	er	er	INTJ
ajset-575	148	2	=	=	SYM
ajset-575	148	3	0l0	0l0	NUM
ajset-575	149	1	=	=	SYM
ajset-575	149	2	2	2	NUM
ajset-575	149	3	0l0	0l0	NUM
ajset-575	149	4	=	=	SYM
ajset-575	150	1	h	h	NOUN
ajset-575	150	2	/2	/2	NOUN
ajset-575	150	3	,	,	PUNCT
ajset-575	150	4	where	where	SCONJ
ajset-575	150	5	0	0	NUM
ajset-575	150	6	is	be	AUX
ajset-575	150	7	the	the	DET
ajset-575	150	8	frequency	frequency	NOUN
ajset-575	150	9	of	of	ADP
ajset-575	150	10	electron	electron	NOUN
ajset-575	150	11	spin	spin	NOUN
ajset-575	150	12	.	.	PUNCT
ajset-575	151	1	since	since	SCONJ
ajset-575	151	2	we	we	PRON
ajset-575	151	3	know	know	VERB
ajset-575	151	4	the	the	DET
ajset-575	151	5	values	value	NOUN
ajset-575	151	6	:	:	PUNCT
ajset-575	151	7	h	h	NOUN
ajset-575	151	8	=	=	NOUN
ajset-575	152	1	6.63	6.63	NUM
ajset-575	152	2	10	10	NUM
ajset-575	152	3	34	34	NUM
ajset-575	152	4	joule	joule	PROPN
ajset-575	152	5	-	-	PUNCT
ajset-575	152	6	sec	sec	PROPN
ajset-575	152	7	.	.	PROPN
ajset-575	153	1	and	and	CCONJ
ajset-575	153	2	l0	l0	NOUN
ajset-575	153	3	=	=	NOUN
ajset-575	154	1	0.52723	0.52723	NUM
ajset-575	154	2	10	10	NUM
ajset-575	154	3	34	34	NUM
ajset-575	154	4	joule	joule	PROPN
ajset-575	154	5	-	-	PUNCT
ajset-575	154	6	sec	sec	PROPN
ajset-575	154	7	.	.	PROPN
ajset-575	154	8	,	,	PUNCT
ajset-575	154	9	then	then	ADV
ajset-575	154	10	0	0	NUM
ajset-575	154	11	=	=	SYM
ajset-575	154	12	2	2	NUM
ajset-575	154	13	which	which	PRON
ajset-575	154	14	is	be	AUX
ajset-575	154	15	as	as	SCONJ
ajset-575	154	16	it	it	PRON
ajset-575	154	17	should	should	AUX
ajset-575	154	18	be	be	AUX
ajset-575	154	19	because	because	SCONJ
ajset-575	154	20	according	accord	VERB
ajset-575	154	21	to	to	ADP
ajset-575	154	22	quantum	quantum	ADJ
ajset-575	154	23	mechanics	mechanic	NOUN
ajset-575	154	24	the	the	DET
ajset-575	154	25	spin	spin	NOUN
ajset-575	154	26	of	of	ADP
ajset-575	154	27	the	the	DET
ajset-575	154	28	electron	electron	NOUN
ajset-575	154	29	must	must	AUX
ajset-575	154	30	be	be	AUX
ajset-575	154	31	quantized	quantize	VERB
ajset-575	154	32	with	with	ADP
ajset-575	154	33	respect	respect	NOUN
ajset-575	154	34	to	to	ADP
ajset-575	154	35	the	the	DET
ajset-575	154	36	originating	originate	VERB
ajset-575	154	37	gamma	gamma	NOUN
ajset-575	154	38	photon	photon	NOUN
ajset-575	154	39	.	.	PUNCT
ajset-575	155	1	finally	finally	ADV
ajset-575	155	2	,	,	PUNCT
ajset-575	155	3	since	since	SCONJ
ajset-575	155	4	c	c	NOUN
ajset-575	155	5	=	=	SYM
ajset-575	155	6	2	2	NUM
ajset-575	155	7	r0	r0	NOUN
ajset-575	155	8	0	0	NUM
ajset-575	155	9	,	,	PUNCT
ajset-575	155	10	then	then	ADV
ajset-575	155	11	h	h	NOUN
ajset-575	155	12	=	=	NOUN
ajset-575	155	13	4	4	NUM
ajset-575	155	14	r0m0c	r0m0c	NUM
ajset-575	155	15	.	.	PUNCT
ajset-575	156	1	6	6	NUM
ajset-575	156	2	.	.	X
ajset-575	156	3	relative	relative	ADJ
ajset-575	156	4	mass	mass	NOUN
ajset-575	156	5	with	with	ADP
ajset-575	156	6	respect	respect	NOUN
ajset-575	156	7	to	to	ADP
ajset-575	156	8	motion	motion	NOUN
ajset-575	156	9	according	accord	VERB
ajset-575	156	10	to	to	ADP
ajset-575	156	11	the	the	DET
ajset-575	156	12	foregoing	forego	VERB
ajset-575	156	13	figures	figure	NOUN
ajset-575	156	14	5	5	NUM
ajset-575	156	15	and	and	CCONJ
ajset-575	156	16	6	6	NUM
ajset-575	156	17	,	,	PUNCT
ajset-575	156	18	an	an	DET
ajset-575	156	19	electron	electron	NOUN
ajset-575	156	20	with	with	ADP
ajset-575	156	21	translational	translational	ADJ
ajset-575	156	22	motion	motion	NOUN
ajset-575	156	23	will	will	AUX
ajset-575	156	24	have	have	VERB
ajset-575	156	25	an	an	DET
ajset-575	156	26	angular	angular	ADJ
ajset-575	156	27	momentum	momentum	NOUN
ajset-575	156	28	pr	pr	NOUN
ajset-575	156	29	=	=	NOUN
ajset-575	156	30	mvr	mvr	X
ajset-575	156	31	=	=	PUNCT
ajset-575	156	32	m(c2	m(c2	NOUN
ajset-575	156	33	v2)1/2	v2)1/2	NOUN
ajset-575	156	34	which	which	PRON
ajset-575	156	35	according	accord	VERB
ajset-575	156	36	to	to	ADP
ajset-575	156	37	the	the	DET
ajset-575	156	38	conservation	conservation	NOUN
ajset-575	156	39	of	of	ADP
ajset-575	156	40	momentum	momentum	NOUN
ajset-575	156	41	is	be	AUX
ajset-575	156	42	equal	equal	ADJ
ajset-575	156	43	to	to	ADP
ajset-575	156	44	the	the	DET
ajset-575	156	45	angular	angular	ADJ
ajset-575	156	46	momentum	momentum	NOUN
ajset-575	156	47	p0	p0	NOUN
ajset-575	156	48	=	=	PUNCT
ajset-575	157	1	m0c	m0c	NOUN
ajset-575	157	2	of	of	ADP
ajset-575	157	3	a	a	DET
ajset-575	157	4	stationary	stationary	ADJ
ajset-575	157	5	electron	electron	NOUN
ajset-575	157	6	.	.	PUNCT
ajset-575	158	1	a	a	DET
ajset-575	158	2	relative	relative	ADJ
ajset-575	158	3	mass	mass	NOUN
ajset-575	158	4	m	m	VERB
ajset-575	158	5	is	be	AUX
ajset-575	158	6	defined	define	VERB
ajset-575	158	7	with	with	ADP
ajset-575	158	8	respect	respect	NOUN
ajset-575	158	9	to	to	ADP
ajset-575	158	10	its	its	PRON
ajset-575	158	11	translational	translational	ADJ
ajset-575	158	12	velocity	velocity	NOUN
ajset-575	158	13	v	v	NOUN
ajset-575	158	14	because	because	SCONJ
ajset-575	158	15	the	the	DET
ajset-575	158	16	configuration	configuration	NOUN
ajset-575	158	17	of	of	ADP
ajset-575	158	18	the	the	DET
ajset-575	158	19	mass	mass	NOUN
ajset-575	158	20	as	as	SCONJ
ajset-575	158	21	indicated	indicate	VERB
ajset-575	158	22	in	in	ADP
ajset-575	158	23	figure	figure	NOUN
ajset-575	158	24	6	6	NUM
ajset-575	158	25	and	and	CCONJ
ajset-575	158	26	9	9	NUM
ajset-575	158	27	changes	change	NOUN
ajset-575	158	28	with	with	ADP
ajset-575	158	29	respect	respect	NOUN
ajset-575	158	30	to	to	ADP
ajset-575	158	31	v	v	NOUN
ajset-575	158	32	.	.	PUNCT
ajset-575	159	1	note	note	VERB
ajset-575	159	2	the	the	DET
ajset-575	159	3	increased	increase	VERB
ajset-575	159	4	flux	flux	NOUN
ajset-575	159	5	or	or	CCONJ
ajset-575	159	6	density	density	NOUN
ajset-575	159	7	of	of	ADP
ajset-575	159	8	electromagnetic	electromagnetic	ADJ
ajset-575	159	9	lines	line	NOUN
ajset-575	159	10	as	as	SCONJ
ajset-575	159	11	illustrated	illustrate	VERB
ajset-575	159	12	in	in	ADP
ajset-575	159	13	figure	figure	NOUN
ajset-575	159	14	9	9	NUM
ajset-575	159	15	.	.	PUNCT
ajset-575	160	1	therefore	therefore	ADV
ajset-575	160	2	:	:	PUNCT
ajset-575	160	3	1/2	1/2	NUM
ajset-575	160	4	2	2	NUM
ajset-575	160	5	v	v	ADP
ajset-575	160	6	m	m	NOUN
ajset-575	160	7	=	=	NOUN
ajset-575	160	8	m0	m0	NOUN
ajset-575	160	9	1	1	NUM
ajset-575	160	10	c2	c2	PROPN
ajset-575	160	11	(	(	PUNCT
ajset-575	160	12	06	06	NUM
ajset-575	160	13	)	)	PUNCT
ajset-575	160	14	which	which	PRON
ajset-575	160	15	agrees	agree	VERB
ajset-575	160	16	with	with	ADP
ajset-575	160	17	the	the	DET
ajset-575	160	18	special	special	ADJ
ajset-575	160	19	theory	theory	NOUN
ajset-575	160	20	of	of	ADP
ajset-575	160	21	relativity	relativity	NOUN
ajset-575	160	22	where	where	SCONJ
ajset-575	160	23	m	m	NOUN
ajset-575	160	24	is	be	AUX
ajset-575	160	25	the	the	DET
ajset-575	160	26	relative	relative	ADJ
ajset-575	160	27	mass	mass	NOUN
ajset-575	160	28	with	with	ADP
ajset-575	160	29	respect	respect	NOUN
ajset-575	160	30	to	to	ADP
ajset-575	160	31	translational	translational	ADJ
ajset-575	160	32	motion	motion	NOUN
ajset-575	160	33	.	.	PUNCT
ajset-575	161	1	the	the	DET
ajset-575	161	2	total	total	ADJ
ajset-575	161	3	energy	energy	NOUN
ajset-575	161	4	e	e	NOUN
ajset-575	161	5	of	of	ADP
ajset-575	161	6	an	an	DET
ajset-575	161	7	electron	electron	NOUN
ajset-575	161	8	must	must	AUX
ajset-575	161	9	be	be	AUX
ajset-575	161	10	the	the	DET
ajset-575	161	11	sum	sum	NOUN
ajset-575	161	12	of	of	ADP
ajset-575	161	13	its	its	PRON
ajset-575	161	14	rest	rest	NOUN
ajset-575	161	15	energy	energy	NOUN
ajset-575	161	16	e	e	NOUN
ajset-575	161	17	)	)	PUNCT
ajset-575	161	18	plus	plus	CCONJ
ajset-575	161	19	its	its	PRON
ajset-575	161	20	kinetic	kinetic	ADJ
ajset-575	161	21	energy	energy	NOUN
ajset-575	161	22	k	k	NOUN
ajset-575	162	1	due	due	ADP
ajset-575	162	2	to	to	ADP
ajset-575	162	3	its	its	PRON
ajset-575	162	4	translational	translational	ADJ
ajset-575	162	5	motion	motion	NOUN
ajset-575	162	6	such	such	ADJ
ajset-575	162	7	that	that	PRON
ajset-575	162	8	:	:	PUNCT
ajset-575	162	9	e	e	X
ajset-575	162	10	=	=	SYM
ajset-575	162	11	e0	e0	PROPN
ajset-575	162	12	k	k	PROPN
ajset-575	162	13	and	and	CCONJ
ajset-575	162	14	since	since	SCONJ
ajset-575	162	15	x	x	PROPN
ajset-575	162	16	k	k	PROPN
ajset-575	162	17	=	=	SYM
ajset-575	162	18	fdx	fdx	PROPN
ajset-575	162	19	=	=	PROPN
ajset-575	162	20	mc2	mc2	NOUN
ajset-575	162	21	m0c	m0c	ADJ
ajset-575	162	22	2	2	NUM
ajset-575	162	23	0	0	NUM
ajset-575	162	24	while	while	SCONJ
ajset-575	162	25	f	f	PROPN
ajset-575	162	26	is	be	AUX
ajset-575	162	27	constant	constant	ADJ
ajset-575	162	28	force	force	NOUN
ajset-575	162	29	over	over	ADP
ajset-575	162	30	a	a	DET
ajset-575	162	31	distance	distance	NOUN
ajset-575	162	32	x	x	PART
ajset-575	162	33	to	to	PART
ajset-575	162	34	give	give	VERB
ajset-575	162	35	the	the	DET
ajset-575	162	36	electron	electron	NOUN
ajset-575	162	37	translational	translational	ADJ
ajset-575	162	38	motion	motion	NOUN
ajset-575	162	39	,	,	PUNCT
ajset-575	162	40	then	then	ADV
ajset-575	162	41	e	e	PROPN
ajset-575	162	42	=	=	PROPN
ajset-575	162	43	mc2	mc2	PROPN
ajset-575	162	44	.	.	PUNCT
ajset-575	163	1	furthermore	furthermore	ADV
ajset-575	163	2	,	,	PUNCT
ajset-575	163	3	the	the	DET
ajset-575	163	4	translational	translational	ADJ
ajset-575	163	5	momentum	momentum	NOUN
ajset-575	163	6	p	p	PROPN
ajset-575	163	7	v	v	NOUN
ajset-575	163	8	and	and	CCONJ
ajset-575	163	9	resultant	resultant	VERB
ajset-575	163	10	momentum	momentum	NOUN
ajset-575	163	11	p	p	NOUN
ajset-575	163	12	of	of	ADP
ajset-575	163	13	a	a	DET
ajset-575	163	14	moving	move	VERB
ajset-575	163	15	electron	electron	NOUN
ajset-575	163	16	rw	rw	NOUN
ajset-575	163	17	can	can	AUX
ajset-575	163	18	be	be	AUX
ajset-575	163	19	vectorially	vectorially	ADV
ajset-575	163	20	related	relate	VERB
ajset-575	163	21	such	such	ADJ
ajset-575	163	22	that	that	SCONJ
ajset-575	163	23	:	:	PUNCT
ajset-575	163	24	p2	p2	PROPN
ajset-575	163	25	=	=	SYM
ajset-575	163	26	pv	pv	PROPN
ajset-575	163	27	2	2	NUM
ajset-575	163	28	p0	p0	NOUN
ajset-575	163	29	2	2	NUM
ajset-575	163	30	and	and	CCONJ
ajset-575	163	31	then	then	ADV
ajset-575	163	32	multiplying	multiply	VERB
ajset-575	163	33	by	by	ADP
ajset-575	163	34	c2	c2	PROPN
ajset-575	163	35	m2c4	m2c4	PROPN
ajset-575	163	36	=	=	PUNCT
ajset-575	164	1	pv2c2	pv2c2	PUNCT
ajset-575	164	2	m02c4	m02c4	NOUN
ajset-575	164	3	hence	hence	ADV
ajset-575	164	4	e2	e2	PROPN
ajset-575	164	5	=	=	SYM
ajset-575	164	6	pv2c2	pv2c2	VERB
ajset-575	164	7	e02	e02	NOUN
ajset-575	164	8	(	(	PUNCT
ajset-575	164	9	08	08	NUM
ajset-575	164	10	)	)	PUNCT
ajset-575	164	11	according	accord	VERB
ajset-575	164	12	to	to	ADP
ajset-575	164	13	the	the	DET
ajset-575	164	14	rw	rw	PROPN
ajset-575	164	15	concept	concept	NOUN
ajset-575	164	16	,	,	PUNCT
ajset-575	164	17	the	the	DET
ajset-575	164	18	correct	correct	ADJ
ajset-575	164	19	relative	relative	ADJ
ajset-575	164	20	mass	mass	NOUN
ajset-575	164	21	and	and	CCONJ
ajset-575	164	22	its	its	PRON
ajset-575	164	23	associated	associated	ADJ
ajset-575	164	24	momentum	momentum	NOUN
ajset-575	164	25	and	and	CCONJ
ajset-575	164	26	energy	energy	NOUN
ajset-575	164	27	have	have	AUX
ajset-575	164	28	been	be	AUX
ajset-575	164	29	derived	derive	VERB
ajset-575	164	30	with	with	ADP
ajset-575	164	31	respect	respect	NOUN
ajset-575	164	32	to	to	ADP
ajset-575	164	33	translational	translational	ADJ
ajset-575	164	34	motion	motion	NOUN
ajset-575	164	35	regardless	regardless	ADV
ajset-575	164	36	of	of	ADP
ajset-575	164	37	the	the	DET
ajset-575	164	38	special	special	ADJ
ajset-575	164	39	theory	theory	NOUN
ajset-575	164	40	of	of	ADP
ajset-575	164	41	relativity	relativity	NOUN
ajset-575	164	42	because	because	SCONJ
ajset-575	164	43	real	real	ADJ
ajset-575	164	44	time	time	NOUN
ajset-575	164	45	has	have	AUX
ajset-575	164	46	been	be	AUX
ajset-575	164	47	kept	keep	VERB
ajset-575	164	48	constant	constant	ADJ
ajset-575	164	49	.	.	PUNCT
ajset-575	165	1	(	(	PUNCT
ajset-575	165	2	0	0	NUM
ajset-575	165	3	(	(	PUNCT
ajset-575	165	4	0	0	NUM
ajset-575	165	5	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	165	6	academic	academic	ADJ
ajset-575	165	7	journal	journal	NOUN
ajset-575	165	8	of	of	ADP
ajset-575	165	9	science	science	NOUN
ajset-575	165	10	,	,	PUNCT
ajset-575	165	11	engineering	engineering	NOUN
ajset-575	165	12	and	and	CCONJ
ajset-575	165	13	technology	technology	NOUN
ajset-575	165	14	vol.6	vol.6	PROPN
ajset-575	165	15	,	,	PUNCT
ajset-575	165	16	issue	issue	NOUN
ajset-575	165	17	1	1	NUM
ajset-575	165	18	;	;	PUNCT
ajset-575	165	19	january	january	PROPN
ajset-575	165	20	febuary	febuary	PROPN
ajset-575	165	21	2021	2021	NUM
ajset-575	165	22	;	;	PUNCT
ajset-575	165	23	1252	1252	NUM
ajset-575	165	24	columbia	columbia	PROPN
ajset-575	165	25	rd	rd	PROPN
ajset-575	165	26	nw	nw	PROPN
ajset-575	165	27	,	,	PUNCT
ajset-575	165	28	washington	washington	PROPN
ajset-575	165	29	dc	dc	PROPN
ajset-575	165	30	,	,	PUNCT
ajset-575	165	31	united	united	PROPN
ajset-575	165	32	states	states	PROPN
ajset-575	165	33	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	165	34	;	;	PUNCT
ajset-575	165	35	mail	mail	NOUN
ajset-575	165	36	:	:	PUNCT
ajset-575	165	37	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	166	1	57	57	NUM
ajset-575	167	1	|	|	ADV
ajset-575	167	2	a	a	DET
ajset-575	167	3	c	c	NOUN
ajset-575	167	4	a	a	PRON
ajset-575	167	5	d	d	X
ajset-575	167	6	e	e	NOUN
ajset-575	167	7	m	m	NOUN
ajset-575	167	8	i	i	NOUN
ajset-575	167	9	c	c	NOUN
ajset-575	167	10	j	j	NOUN
ajset-575	167	11	o	o	X
ajset-575	167	12	u	u	NOUN
ajset-575	167	13	r	r	NOUN
ajset-575	167	14	n	n	NOUN
ajset-575	167	15	a	a	DET
ajset-575	167	16	l	l	NOUN
ajset-575	168	1	o	o	X
ajset-575	168	2	f	f	X
ajset-575	168	3	s	s	X
ajset-575	168	4	c	c	NOUN
ajset-575	169	1	i	i	NOUN
ajset-575	169	2	e	e	PROPN
ajset-575	169	3	n	n	PROPN
ajset-575	169	4	c	c	NOUN
ajset-575	169	5	e	e	X
ajset-575	169	6	,	,	PUNCT
ajset-575	169	7	e	e	PROPN
ajset-575	169	8	n	n	PRON
ajset-575	169	9	g	g	NOUN
ajset-575	169	10	i	i	PRON
ajset-575	169	11	n	n	VERB
ajset-575	169	12	e	e	NOUN
ajset-575	169	13	e	e	NOUN
ajset-575	169	14	r	r	VERB
ajset-575	169	15	i	i	PRON
ajset-575	169	16	n	n	CCONJ
ajset-575	169	17	g	g	PROPN
ajset-575	169	18	a	a	DET
ajset-575	169	19	n	n	NOUN
ajset-575	169	20	d	d	NOUN
ajset-575	169	21	t	t	NOUN
ajset-575	169	22	e	e	X
ajset-575	169	23	c	c	NOUN
ajset-575	169	24	h	h	NOUN
ajset-575	169	25	n	n	ADV
ajset-575	169	26	o	o	NOUN
ajset-575	169	27	l	l	NOUN
ajset-575	170	1	o	o	X
ajset-575	170	2	g	g	NOUN
ajset-575	170	3	y	y	PROPN
ajset-575	170	4	|	|	ADV
ajset-575	170	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	170	6	7	7	NUM
ajset-575	170	7	.	.	PUNCT
ajset-575	171	1	an	an	DET
ajset-575	171	2	electromagnetic	electromagnetic	ADJ
ajset-575	171	3	wave	wave	NOUN
ajset-575	171	4	theory	theory	NOUN
ajset-575	171	5	of	of	ADP
ajset-575	171	6	gravity	gravity	NOUN
ajset-575	171	7	according	accord	VERB
ajset-575	171	8	to	to	ADP
ajset-575	171	9	the	the	DET
ajset-575	171	10	wavicle	wavicle	NOUN
ajset-575	171	11	,	,	PUNCT
ajset-575	171	12	free	free	ADJ
ajset-575	171	13	space	space	NOUN
ajset-575	171	14	or	or	CCONJ
ajset-575	171	15	vacuum	vacuum	NOUN
ajset-575	171	16	is	be	AUX
ajset-575	171	17	defined	define	VERB
ajset-575	171	18	as	as	ADP
ajset-575	171	19	the	the	DET
ajset-575	171	20	electromagnetic	electromagnetic	ADJ
ajset-575	171	21	ether	ether	NOUN
ajset-575	171	22	field	field	NOUN
ajset-575	171	23	in	in	ADP
ajset-575	171	24	which	which	PRON
ajset-575	171	25	light	light	NOUN
ajset-575	171	26	and	and	CCONJ
ajset-575	171	27	matter	matter	VERB
ajset-575	171	28	waves	wave	NOUN
ajset-575	171	29	are	be	AUX
ajset-575	171	30	able	able	ADJ
ajset-575	171	31	to	to	PART
ajset-575	171	32	propagate	propagate	VERB
ajset-575	171	33	.	.	PUNCT
ajset-575	172	1	the	the	DET
ajset-575	172	2	basic	basic	ADJ
ajset-575	172	3	premise	premise	NOUN
ajset-575	172	4	of	of	ADP
ajset-575	172	5	this	this	DET
ajset-575	172	6	theory	theory	NOUN
ajset-575	172	7	of	of	ADP
ajset-575	172	8	gravity	gravity	NOUN
ajset-575	172	9	is	be	AUX
ajset-575	172	10	that	that	SCONJ
ajset-575	172	11	the	the	DET
ajset-575	172	12	binding	bind	VERB
ajset-575	172	13	energy	energy	NOUN
ajset-575	172	14	eb	eb	PROPN
ajset-575	172	15	holds	hold	VERB
ajset-575	172	16	the	the	DET
ajset-575	172	17	classical	classical	ADJ
ajset-575	172	18	wave	wave	NOUN
ajset-575	172	19	of	of	ADP
ajset-575	172	20	the	the	DET
ajset-575	172	21	rw	rw	NOUN
ajset-575	172	22	in	in	ADP
ajset-575	172	23	rotation	rotation	NOUN
ajset-575	172	24	by	by	ADP
ajset-575	172	25	affecting	affect	VERB
ajset-575	172	26	the	the	DET
ajset-575	172	27	permittivity	permittivity	NOUN
ajset-575	172	28	and	and	CCONJ
ajset-575	172	29	permeability	permeability	NOUN
ajset-575	172	30	of	of	ADP
ajset-575	172	31	free	free	ADJ
ajset-575	172	32	space	space	NOUN
ajset-575	172	33	.	.	PUNCT
ajset-575	173	1	thus	thus	ADV
ajset-575	173	2	any	any	DET
ajset-575	173	3	other	other	ADJ
ajset-575	173	4	incidental	incidental	ADJ
ajset-575	173	5	wave	wave	NOUN
ajset-575	173	6	will	will	AUX
ajset-575	173	7	similarly	similarly	ADV
ajset-575	173	8	be	be	AUX
ajset-575	173	9	affected	affect	VERB
ajset-575	173	10	by	by	ADP
ajset-575	173	11	the	the	DET
ajset-575	173	12	binding	bind	VERB
ajset-575	173	13	energy	energy	NOUN
ajset-575	173	14	of	of	ADP
ajset-575	173	15	the	the	DET
ajset-575	173	16	rw	rw	NOUN
ajset-575	173	17	,	,	PUNCT
ajset-575	173	18	although	although	SCONJ
ajset-575	173	19	indirectly	indirectly	ADV
ajset-575	173	20	and	and	CCONJ
ajset-575	173	21	to	to	ADP
ajset-575	173	22	a	a	DET
ajset-575	173	23	lesser	less	ADJ
ajset-575	173	24	degree	degree	NOUN
ajset-575	173	25	.	.	PUNCT
ajset-575	174	1	figure	figure	NOUN
ajset-575	174	2	10	10	NUM
ajset-575	174	3	,	,	PUNCT
ajset-575	174	4	illustrates	illustrate	VERB
ajset-575	174	5	a	a	DET
ajset-575	174	6	passing	pass	VERB
ajset-575	174	7	test	test	NOUN
ajset-575	174	8	photon	photon	NOUN
ajset-575	174	9	with	with	ADP
ajset-575	174	10	a	a	DET
ajset-575	174	11	given	give	VERB
ajset-575	174	12	huygen	huygen	PROPN
ajset-575	174	13	’s	’s	PART
ajset-575	174	14	wavelet	wavelet	NOUN
ajset-575	174	15	at	at	ADP
ajset-575	174	16	distance	distance	NOUN
ajset-575	174	17	r	r	NOUN
ajset-575	174	18	from	from	ADP
ajset-575	174	19	the	the	DET
ajset-575	174	20	center	center	NOUN
ajset-575	174	21	and	and	CCONJ
ajset-575	174	22	midway	midway	NOUN
ajset-575	174	23	between	between	ADP
ajset-575	174	24	the	the	DET
ajset-575	174	25	magnetic	magnetic	ADJ
ajset-575	174	26	poles	pole	NOUN
ajset-575	174	27	of	of	ADP
ajset-575	174	28	a	a	DET
ajset-575	174	29	single	single	ADJ
ajset-575	174	30	stationary	stationary	ADJ
ajset-575	174	31	electron	electron	NOUN
ajset-575	174	32	rw	rw	NOUN
ajset-575	174	33	.	.	PUNCT
ajset-575	175	1	regardless	regardless	ADV
ajset-575	175	2	of	of	ADP
ajset-575	175	3	the	the	DET
ajset-575	175	4	rw	rw	NOUN
ajset-575	175	5	charge	charge	NOUN
ajset-575	175	6	,	,	PUNCT
ajset-575	175	7	the	the	DET
ajset-575	175	8	wavelet	wavelet	NOUN
ajset-575	175	9	will	will	AUX
ajset-575	175	10	be	be	AUX
ajset-575	175	11	permitted	permit	VERB
ajset-575	175	12	to	to	PART
ajset-575	175	13	go	go	VERB
ajset-575	175	14	at	at	ADP
ajset-575	175	15	the	the	DET
ajset-575	175	16	velocity	velocity	NOUN
ajset-575	175	17	u1	u1	NOUN
ajset-575	175	18	=	=	SYM
ajset-575	175	19	pu	pu	PROPN
ajset-575	175	20	=	=	SYM
ajset-575	175	21	2	2	NUM
ajset-575	175	22	pr	pr	NOUN
ajset-575	175	23	0	0	NUM
ajset-575	175	24	either	either	CCONJ
ajset-575	175	25	in	in	ADP
ajset-575	175	26	the	the	DET
ajset-575	175	27	same	same	ADJ
ajset-575	175	28	or	or	CCONJ
ajset-575	175	29	opposite	opposite	ADJ
ajset-575	175	30	direction	direction	NOUN
ajset-575	175	31	of	of	ADP
ajset-575	175	32	the	the	DET
ajset-575	175	33	rotating	rotate	VERB
ajset-575	175	34	wave	wave	NOUN
ajset-575	175	35	.	.	PUNCT
ajset-575	176	1	figure	figure	VERB
ajset-575	176	2	10	10	NUM
ajset-575	176	3	:	:	PUNCT
ajset-575	176	4	vectorial	vectorial	ADJ
ajset-575	176	5	description	description	NOUN
ajset-575	176	6	of	of	ADP
ajset-575	176	7	rotating	rotate	VERB
ajset-575	176	8	wave	wave	NOUN
ajset-575	176	9	showing	show	VERB
ajset-575	176	10	resultant	resultant	VERB
ajset-575	176	11	gravitational	gravitational	ADJ
ajset-575	176	12	acceleration	acceleration	NOUN
ajset-575	176	13	of	of	ADP
ajset-575	176	14	wavelet	wavelet	NOUN
ajset-575	176	15	.	.	PUNCT
ajset-575	177	1	while	while	SCONJ
ajset-575	177	2	u	u	PRON
ajset-575	177	3	is	be	AUX
ajset-575	177	4	the	the	DET
ajset-575	177	5	tangential	tangential	ADJ
ajset-575	177	6	velocity	velocity	NOUN
ajset-575	177	7	of	of	ADP
ajset-575	177	8	the	the	DET
ajset-575	177	9	rotating	rotate	VERB
ajset-575	177	10	wave	wave	NOUN
ajset-575	177	11	at	at	ADP
ajset-575	177	12	distance	distance	NOUN
ajset-575	177	13	r	r	NOUN
ajset-575	177	14	,	,	PUNCT
ajset-575	177	15	and	and	CCONJ
ajset-575	177	16	0	0	NUM
ajset-575	177	17	is	be	AUX
ajset-575	177	18	the	the	DET
ajset-575	177	19	frequency	frequency	NOUN
ajset-575	177	20	of	of	ADP
ajset-575	177	21	the	the	DET
ajset-575	177	22	rw	rw	NOUN
ajset-575	177	23	’s	’s	PART
ajset-575	177	24	rotation	rotation	NOUN
ajset-575	177	25	,	,	PUNCT
ajset-575	177	26	p	p	PRON
ajset-575	177	27	is	be	AUX
ajset-575	177	28	a	a	DET
ajset-575	177	29	variable	variable	ADJ
ajset-575	177	30	dependent	dependent	ADJ
ajset-575	177	31	upon	upon	SCONJ
ajset-575	177	32	the	the	DET
ajset-575	177	33	strength	strength	NOUN
ajset-575	177	34	of	of	ADP
ajset-575	177	35	the	the	DET
ajset-575	177	36	vector	vector	NOUN
ajset-575	177	37	field	field	NOUN
ajset-575	177	38	generated	generate	VERB
ajset-575	177	39	by	by	ADP
ajset-575	177	40	the	the	DET
ajset-575	177	41	rw	rw	NOUN
ajset-575	177	42	at	at	ADP
ajset-575	177	43	radius	radius	NOUN
ajset-575	177	44	.	.	PUNCT
ajset-575	178	1	however	however	ADV
ajset-575	178	2	,	,	PUNCT
ajset-575	178	3	as	as	SCONJ
ajset-575	178	4	illustrated	illustrate	VERB
ajset-575	178	5	in	in	ADP
ajset-575	178	6	figure	figure	NOUN
ajset-575	178	7	10	10	NUM
ajset-575	178	8	,	,	PUNCT
ajset-575	178	9	changes	change	NOUN
ajset-575	178	10	with	with	ADP
ajset-575	178	11	respect	respect	NOUN
ajset-575	178	12	to	to	ADP
ajset-575	178	13	time	time	NOUN
ajset-575	178	14	and	and	CCONJ
ajset-575	178	15	direction	direction	NOUN
ajset-575	178	16	and	and	CCONJ
ajset-575	178	17	therefore	therefore	ADV
ajset-575	178	18	the	the	DET
ajset-575	178	19	photon	photon	NOUN
ajset-575	178	20	wavelet	wavelet	NOUN
ajset-575	178	21	would	would	AUX
ajset-575	178	22	also	also	ADV
ajset-575	178	23	be	be	AUX
ajset-575	178	24	accelerated	accelerate	VERB
ajset-575	178	25	by	by	ADP
ajset-575	178	26	the	the	DET
ajset-575	178	27	amount	amount	NOUN
ajset-575	178	28	:	:	PUNCT
ajset-575	178	29	du	du	PROPN
ajset-575	178	30	u2	u2	PROPN
ajset-575	178	31	a0	a0	PROPN
ajset-575	179	1	=	=	PROPN
ajset-575	179	2	p	p	X
ajset-575	180	1	=	=	X
ajset-575	180	2	p	p	X
ajset-575	180	3	dt	dt	X
ajset-575	180	4	r	r	NOUN
ajset-575	180	5	in	in	ADP
ajset-575	180	6	other	other	ADJ
ajset-575	180	7	words	word	NOUN
ajset-575	180	8	the	the	DET
ajset-575	180	9	plane	plane	NOUN
ajset-575	180	10	of	of	ADP
ajset-575	180	11	the	the	DET
ajset-575	180	12	passing	pass	VERB
ajset-575	180	13	test	test	NOUN
ajset-575	180	14	photon	photon	NOUN
ajset-575	180	15	or	or	CCONJ
ajset-575	180	16	electromagnetic	electromagnetic	ADJ
ajset-575	180	17	wave	wave	NOUN
ajset-575	180	18	would	would	AUX
ajset-575	180	19	be	be	AUX
ajset-575	180	20	bent	bent	ADJ
ajset-575	180	21	to	to	ADP
ajset-575	180	22	some	some	DET
ajset-575	180	23	degree	degree	NOUN
ajset-575	180	24	by	by	ADP
ajset-575	180	25	the	the	DET
ajset-575	180	26	rotating	rotate	VERB
ajset-575	180	27	wave	wave	NOUN
ajset-575	180	28	and	and	CCONJ
ajset-575	180	29	would	would	AUX
ajset-575	180	30	account	account	VERB
ajset-575	180	31	for	for	ADP
ajset-575	180	32	the	the	DET
ajset-575	180	33	phenomenon	phenomenon	NOUN
ajset-575	180	34	of	of	ADP
ajset-575	180	35	gravity	gravity	NOUN
ajset-575	180	36	.	.	PUNCT
ajset-575	181	1	obviously	obviously	ADV
ajset-575	181	2	,	,	PUNCT
ajset-575	181	3	according	accord	VERB
ajset-575	181	4	to	to	ADP
ajset-575	181	5	the	the	DET
ajset-575	181	6	rw	rw	PROPN
ajset-575	181	7	concept	concept	NOUN
ajset-575	181	8	,	,	PUNCT
ajset-575	181	9	a	a	DET
ajset-575	181	10	huygen	huygen	X
ajset-575	181	11	’s	’s	PART
ajset-575	181	12	wavelet	wavelet	NOUN
ajset-575	181	13	closer	close	ADV
ajset-575	181	14	to	to	ADP
ajset-575	181	15	either	either	PRON
ajset-575	181	16	of	of	ADP
ajset-575	181	17	the	the	DET
ajset-575	181	18	magnetic	magnetic	ADJ
ajset-575	181	19	poles	pole	NOUN
ajset-575	181	20	,	,	PUNCT
ajset-575	181	21	but	but	CCONJ
ajset-575	181	22	at	at	ADP
ajset-575	181	23	the	the	DET
ajset-575	181	24	same	same	ADJ
ajset-575	181	25	distance	distance	NOUN
ajset-575	181	26	from	from	ADP
ajset-575	181	27	the	the	DET
ajset-575	181	28	centre	centre	NOUN
ajset-575	181	29	of	of	ADP
ajset-575	181	30	the	the	DET
ajset-575	181	31	electron	electron	NOUN
ajset-575	181	32	rw	rw	NOUN
ajset-575	181	33	,	,	PUNCT
ajset-575	181	34	will	will	AUX
ajset-575	181	35	experience	experience	VERB
ajset-575	181	36	less	less	ADJ
ajset-575	181	37	gravitational	gravitational	ADJ
ajset-575	181	38	acceleration	acceleration	NOUN
ajset-575	181	39	.	.	PUNCT
ajset-575	182	1	however	however	ADV
ajset-575	182	2	,	,	PUNCT
ajset-575	182	3	the	the	DET
ajset-575	182	4	second	second	ADJ
ajset-575	182	5	premise	premise	NOUN
ajset-575	182	6	of	of	ADP
ajset-575	182	7	the	the	DET
ajset-575	182	8	theory	theory	NOUN
ajset-575	182	9	of	of	ADP
ajset-575	182	10	gravity	gravity	NOUN
ajset-575	182	11	is	be	AUX
ajset-575	182	12	that	that	SCONJ
ajset-575	182	13	uniformity	uniformity	NOUN
ajset-575	182	14	of	of	ADP
ajset-575	182	15	gravitational	gravitational	ADJ
ajset-575	182	16	acceleration	acceleration	NOUN
ajset-575	182	17	at	at	ADP
ajset-575	182	18	a	a	DET
ajset-575	182	19	constant	constant	ADJ
ajset-575	182	20	distance	distance	NOUN
ajset-575	182	21	about	about	ADP
ajset-575	182	22	a	a	DET
ajset-575	182	23	spherical	spherical	ADJ
ajset-575	182	24	mass	mass	NOUN
ajset-575	182	25	is	be	AUX
ajset-575	182	26	simply	simply	ADV
ajset-575	182	27	due	due	ADJ
ajset-575	182	28	to	to	ADP
ajset-575	182	29	the	the	DET
ajset-575	182	30	fact	fact	NOUN
ajset-575	182	31	that	that	SCONJ
ajset-575	182	32	such	such	ADJ
ajset-575	182	33	mass	mass	NOUN
ajset-575	182	34	is	be	AUX
ajset-575	182	35	composed	compose	VERB
ajset-575	182	36	of	of	ADP
ajset-575	182	37	many	many	ADJ
ajset-575	182	38	rw	rw	NOUN
ajset-575	182	39	’s	’s	NOUN
ajset-575	182	40	at	at	ADP
ajset-575	182	41	various	various	ADJ
ajset-575	182	42	angles	angle	NOUN
ajset-575	182	43	of	of	ADP
ajset-575	182	44	spin	spin	NOUN
ajset-575	182	45	and	and	CCONJ
ajset-575	182	46	random	random	ADJ
ajset-575	182	47	motion	motion	NOUN
ajset-575	182	48	.	.	PUNCT
ajset-575	183	1	therefore	therefore	ADV
ajset-575	183	2	,	,	PUNCT
ajset-575	183	3	while	while	SCONJ
ajset-575	183	4	the	the	DET
ajset-575	183	5	electron	electron	NOUN
ajset-575	183	6	has	have	VERB
ajset-575	183	7	a	a	DET
ajset-575	183	8	gravitational	gravitational	ADJ
ajset-575	183	9	field	field	NOUN
ajset-575	183	10	severely	severely	ADV
ajset-575	183	11	distorted	distort	VERB
ajset-575	183	12	by	by	ADP
ajset-575	183	13	its	its	PRON
ajset-575	183	14	magnetic	magnetic	ADJ
ajset-575	183	15	poles	pole	NOUN
ajset-575	183	16	,	,	PUNCT
ajset-575	183	17	larger	large	ADJ
ajset-575	183	18	non	non	ADJ
ajset-575	183	19	-	-	ADJ
ajset-575	183	20	elementary	elementary	ADJ
ajset-575	183	21	particles	particle	NOUN
ajset-575	183	22	of	of	ADP
ajset-575	183	23	matter	matter	NOUN
ajset-575	183	24	have	have	VERB
ajset-575	183	25	more	more	ADJ
ajset-575	183	26	uniform	uniform	ADJ
ajset-575	183	27	gravitational	gravitational	ADJ
ajset-575	183	28	fields	field	NOUN
ajset-575	183	29	at	at	ADP
ajset-575	183	30	a	a	DET
ajset-575	183	31	given	give	VERB
ajset-575	183	32	radius	radius	NOUN
ajset-575	183	33	.	.	PUNCT
ajset-575	184	1	while	while	SCONJ
ajset-575	184	2	p	p	NOUN
ajset-575	184	3	is	be	AUX
ajset-575	184	4	the	the	DET
ajset-575	184	5	real	real	ADV
ajset-575	184	6	constant	constant	ADJ
ajset-575	184	7	assigned	assign	VERB
ajset-575	184	8	to	to	ADP
ajset-575	184	9	the	the	DET
ajset-575	184	10	gravitational	gravitational	ADJ
ajset-575	184	11	acceleration	acceleration	NOUN
ajset-575	184	12	of	of	ADP
ajset-575	184	13	the	the	DET
ajset-575	184	14	basic	basic	ADJ
ajset-575	184	15	particle	particle	NOUN
ajset-575	184	16	,	,	PUNCT
ajset-575	184	17	a	a	DET
ajset-575	184	18	modified	modify	VERB
ajset-575	184	19	p1	p1	NOUN
ajset-575	184	20	=	=	PUNCT
ajset-575	184	21	k1p	k1p	ADJ
ajset-575	184	22	can	can	AUX
ajset-575	184	23	be	be	AUX
ajset-575	184	24	assigned	assign	VERB
ajset-575	184	25	in	in	ADP
ajset-575	184	26	a	a	DET
ajset-575	184	27	limiting	limit	VERB
ajset-575	184	28	case	case	NOUN
ajset-575	184	29	to	to	ADP
ajset-575	184	30	the	the	DET
ajset-575	184	31	more	more	ADV
ajset-575	184	32	uniform	uniform	ADJ
ajset-575	184	33	gravitational	gravitational	ADJ
ajset-575	184	34	fields	field	NOUN
ajset-575	184	35	of	of	ADP
ajset-575	184	36	larger	large	ADJ
ajset-575	184	37	particles	particle	NOUN
ajset-575	184	38	at	at	ADP
ajset-575	184	39	a	a	DET
ajset-575	184	40	given	give	VERB
ajset-575	184	41	radius	radius	NOUN
ajset-575	184	42	.	.	PUNCT
ajset-575	185	1	however	however	ADV
ajset-575	185	2	,	,	PUNCT
ajset-575	185	3	as	as	SCONJ
ajset-575	185	4	p1	p1	PROPN
ajset-575	185	5	is	be	AUX
ajset-575	185	6	only	only	ADV
ajset-575	185	7	an	an	DET
ajset-575	185	8	average	average	ADJ
ajset-575	185	9	value	value	NOUN
ajset-575	185	10	of	of	ADP
ajset-575	185	11	p	p	NOUN
ajset-575	185	12	,	,	PUNCT
ajset-575	185	13	then	then	ADV
ajset-575	185	14	it	it	PRON
ajset-575	185	15	can	can	AUX
ajset-575	185	16	be	be	AUX
ajset-575	185	17	renormalized	renormalize	VERB
ajset-575	185	18	to	to	ADP
ajset-575	185	19	p	p	NOUN
ajset-575	185	20	for	for	ADP
ajset-575	185	21	simpler	simple	ADJ
ajset-575	185	22	calculations	calculation	NOUN
ajset-575	185	23	that	that	PRON
ajset-575	185	24	follow	follow	VERB
ajset-575	185	25	.	.	PUNCT
ajset-575	186	1	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	186	2	academic	academic	ADJ
ajset-575	186	3	journal	journal	NOUN
ajset-575	186	4	of	of	ADP
ajset-575	186	5	science	science	NOUN
ajset-575	186	6	,	,	PUNCT
ajset-575	186	7	engineering	engineering	NOUN
ajset-575	186	8	and	and	CCONJ
ajset-575	186	9	technology	technology	NOUN
ajset-575	186	10	vol.6	vol.6	PROPN
ajset-575	186	11	,	,	PUNCT
ajset-575	186	12	issue	issue	NOUN
ajset-575	186	13	1	1	NUM
ajset-575	186	14	;	;	PUNCT
ajset-575	186	15	january	january	PROPN
ajset-575	186	16	febuary	febuary	PROPN
ajset-575	186	17	2021	2021	NUM
ajset-575	186	18	;	;	PUNCT
ajset-575	186	19	1252	1252	NUM
ajset-575	186	20	columbia	columbia	PROPN
ajset-575	186	21	rd	rd	PROPN
ajset-575	186	22	nw	nw	PROPN
ajset-575	186	23	,	,	PUNCT
ajset-575	186	24	washington	washington	PROPN
ajset-575	186	25	dc	dc	PROPN
ajset-575	186	26	,	,	PUNCT
ajset-575	186	27	united	united	PROPN
ajset-575	186	28	states	states	PROPN
ajset-575	186	29	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	186	30	;	;	PUNCT
ajset-575	186	31	mail	mail	NOUN
ajset-575	186	32	:	:	PUNCT
ajset-575	187	1	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	187	2	58	58	NUM
ajset-575	188	1	|	|	ADV
ajset-575	188	2	a	a	DET
ajset-575	188	3	c	c	NOUN
ajset-575	188	4	a	a	PRON
ajset-575	188	5	d	d	X
ajset-575	188	6	e	e	NOUN
ajset-575	188	7	m	m	NOUN
ajset-575	188	8	i	i	NOUN
ajset-575	188	9	c	c	NOUN
ajset-575	188	10	j	j	NOUN
ajset-575	188	11	o	o	X
ajset-575	188	12	u	u	NOUN
ajset-575	188	13	r	r	NOUN
ajset-575	188	14	n	n	NOUN
ajset-575	188	15	a	a	DET
ajset-575	188	16	l	l	NOUN
ajset-575	189	1	o	o	X
ajset-575	189	2	f	f	X
ajset-575	189	3	s	s	X
ajset-575	189	4	c	c	NOUN
ajset-575	190	1	i	i	NOUN
ajset-575	190	2	e	e	PROPN
ajset-575	190	3	n	n	PROPN
ajset-575	190	4	c	c	NOUN
ajset-575	190	5	e	e	X
ajset-575	190	6	,	,	PUNCT
ajset-575	190	7	e	e	PROPN
ajset-575	190	8	n	n	PRON
ajset-575	190	9	g	g	NOUN
ajset-575	190	10	i	i	PRON
ajset-575	190	11	n	n	VERB
ajset-575	190	12	e	e	NOUN
ajset-575	190	13	e	e	NOUN
ajset-575	190	14	r	r	VERB
ajset-575	190	15	i	i	PRON
ajset-575	190	16	n	n	CCONJ
ajset-575	190	17	g	g	PROPN
ajset-575	190	18	a	a	DET
ajset-575	190	19	n	n	NOUN
ajset-575	190	20	d	d	NOUN
ajset-575	190	21	t	t	NOUN
ajset-575	190	22	e	e	X
ajset-575	190	23	c	c	NOUN
ajset-575	190	24	h	h	NOUN
ajset-575	190	25	n	n	ADV
ajset-575	190	26	o	o	NOUN
ajset-575	190	27	l	l	NOUN
ajset-575	191	1	o	o	X
ajset-575	191	2	g	g	NOUN
ajset-575	191	3	y	y	PROPN
ajset-575	191	4	|	|	ADV
ajset-575	191	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	191	6	since	since	SCONJ
ajset-575	191	7	the	the	DET
ajset-575	191	8	wavicle	wavicle	NOUN
ajset-575	191	9	must	must	AUX
ajset-575	191	10	comply	comply	VERB
ajset-575	191	11	with	with	ADP
ajset-575	191	12	gaussian	gaussian	ADJ
ajset-575	191	13	law	law	NOUN
ajset-575	191	14	at	at	ADP
ajset-575	191	15	distances	distance	NOUN
ajset-575	191	16	beyond	beyond	ADP
ajset-575	191	17	which	which	DET
ajset-575	191	18	charge	charge	NOUN
ajset-575	191	19	is	be	AUX
ajset-575	191	20	screened	screen	VERB
ajset-575	191	21	,	,	PUNCT
ajset-575	191	22	then	then	ADV
ajset-575	191	23	the	the	DET
ajset-575	191	24	macroscopic	macroscopic	ADJ
ajset-575	191	25	laws	law	NOUN
ajset-575	191	26	of	of	ADP
ajset-575	191	27	gravity	gravity	NOUN
ajset-575	191	28	must	must	AUX
ajset-575	191	29	be	be	AUX
ajset-575	191	30	able	able	ADJ
ajset-575	191	31	to	to	PART
ajset-575	191	32	be	be	AUX
ajset-575	191	33	deduced	deduce	VERB
ajset-575	191	34	in	in	ADP
ajset-575	191	35	the	the	DET
ajset-575	191	36	same	same	ADJ
ajset-575	191	37	way	way	NOUN
ajset-575	191	38	.	.	PUNCT
ajset-575	192	1	gauss	gauss	PROPN
ajset-575	192	2	’s	’s	PART
ajset-575	192	3	law	law	NOUN
ajset-575	192	4	gives	give	VERB
ajset-575	192	5	a	a	DET
ajset-575	192	6	connection	connection	NOUN
ajset-575	192	7	between	between	ADP
ajset-575	192	8	the	the	DET
ajset-575	192	9	flux	flux	NOUN
ajset-575	192	10	e	e	NOUN
ajset-575	192	11	for	for	ADP
ajset-575	192	12	the	the	DET
ajset-575	192	13	gaussian	gaussian	ADJ
ajset-575	192	14	surfaces	surface	NOUN
ajset-575	192	15	ds	ds	VERB
ajset-575	192	16	and	and	CCONJ
ajset-575	192	17	the	the	DET
ajset-575	192	18	net	net	ADJ
ajset-575	192	19	charge	charge	NOUN
ajset-575	192	20	q	q	PROPN
ajset-575	192	21	enclosed	enclose	VERB
ajset-575	192	22	by	by	ADP
ajset-575	192	23	the	the	DET
ajset-575	192	24	surface	surface	NOUN
ajset-575	192	25	:	:	PUNCT
ajset-575	192	26	0	0	NUM
ajset-575	192	27	e	e	X
ajset-575	192	28	ds	ds	X
ajset-575	192	29	=	=	SYM
ajset-575	192	30	q	q	X
ajset-575	192	31	where	where	SCONJ
ajset-575	192	32	e	e	NOUN
ajset-575	192	33	=	=	SYM
ajset-575	192	34	e	e	X
ajset-575	192	35	ds	ds	NOUN
ajset-575	192	36	and	and	CCONJ
ajset-575	192	37	e	e	NOUN
ajset-575	192	38	is	be	AUX
ajset-575	192	39	the	the	DET
ajset-575	192	40	electric	electric	ADJ
ajset-575	192	41	field	field	NOUN
ajset-575	192	42	strength	strength	NOUN
ajset-575	192	43	;	;	PUNCT
ajset-575	192	44	0	0	NUM
ajset-575	192	45	is	be	AUX
ajset-575	192	46	the	the	DET
ajset-575	192	47	universal	universal	ADJ
ajset-575	192	48	permittivity	permittivity	NOUN
ajset-575	192	49	constant	constant	ADJ
ajset-575	192	50	.	.	PUNCT
ajset-575	193	1	similarly	similarly	ADV
ajset-575	193	2	,	,	PUNCT
ajset-575	193	3	a	a	DET
ajset-575	193	4	universal	universal	ADJ
ajset-575	193	5	constant	constant	ADJ
ajset-575	193	6	c3/(gh	c3/(gh	NOUN
ajset-575	193	7	)	)	PUNCT
ajset-575	193	8	,	,	PUNCT
ajset-575	193	9	which	which	PRON
ajset-575	193	10	can	can	AUX
ajset-575	193	11	be	be	AUX
ajset-575	193	12	proved	prove	VERB
ajset-575	193	13	by	by	ADP
ajset-575	193	14	deduction	deduction	NOUN
ajset-575	193	15	,	,	PUNCT
ajset-575	193	16	operates	operate	VERB
ajset-575	193	17	on	on	ADP
ajset-575	193	18	the	the	DET
ajset-575	193	19	gravitational	gravitational	ADJ
ajset-575	193	20	field	field	NOUN
ajset-575	193	21	strength	strength	NOUN
ajset-575	193	22	a0	a0	PROPN
ajset-575	193	23	and	and	CCONJ
ajset-575	193	24	its	its	PRON
ajset-575	193	25	surface	surface	NOUN
ajset-575	193	26	integral	integral	ADJ
ajset-575	193	27	such	such	ADJ
ajset-575	193	28	that	that	PRON
ajset-575	193	29	:	:	PUNCT
ajset-575	193	30	c3	c3	PROPN
ajset-575	193	31	u2	u2	PROPN
ajset-575	193	32	a0	a0	PROPN
ajset-575	193	33	dz	dz	PROPN
ajset-575	193	34	=	=	PROPN
ajset-575	193	35	or	or	CCONJ
ajset-575	193	36	gh	gh	PROPN
ajset-575	193	37	r	r	NOUN
ajset-575	193	38	1	1	NUM
ajset-575	193	39	c3	c3	NOUN
ajset-575	193	40	=	=	PUNCT
ajset-575	193	41	ds	ds	PROPN
ajset-575	193	42	p	p	PROPN
ajset-575	193	43	gh	gh	PROPN
ajset-575	193	44	since	since	SCONJ
ajset-575	193	45	h	h	NOUN
ajset-575	193	46	=	=	NOUN
ajset-575	193	47	4	4	NUM
ajset-575	193	48	r0m0c	r0m0c	NUM
ajset-575	193	49	and	and	CCONJ
ajset-575	193	50	the	the	DET
ajset-575	193	51	surface	surface	NOUN
ajset-575	193	52	integral	integral	NOUN
ajset-575	193	53	is	be	AUX
ajset-575	193	54	a	a	DET
ajset-575	193	55	sphere	sphere	NOUN
ajset-575	193	56	,	,	PUNCT
ajset-575	193	57	then	then	ADV
ajset-575	193	58	:	:	PUNCT
ajset-575	193	59	1	1	NUM
ajset-575	193	60	c3	c3	NOUN
ajset-575	193	61	2	2	NUM
ajset-575	193	62	c2r2	c2r2	NOUN
ajset-575	193	63	=	=	SYM
ajset-575	193	64	4	4	NUM
ajset-575	193	65	r	r	NOUN
ajset-575	193	66	=	=	PUNCT
ajset-575	193	67	(	(	PUNCT
ajset-575	193	68	11	11	NUM
ajset-575	193	69	)	)	PUNCT
ajset-575	193	70	p	p	PROPN
ajset-575	193	71	gh	gh	PROPN
ajset-575	193	72	gr0m0	gr0m0	PROPN
ajset-575	193	73	and	and	CCONJ
ajset-575	193	74	from	from	ADP
ajset-575	193	75	above	above	ADP
ajset-575	193	76	2	2	NUM
ajset-575	193	77	2	2	NUM
ajset-575	193	78	2	2	NUM
ajset-575	193	79	2	2	NUM
ajset-575	193	80	u	u	NOUN
ajset-575	193	81	gm0	gm0	NOUN
ajset-575	193	82	r0	r0	NOUN
ajset-575	193	83	u	u	NOUN
ajset-575	193	84	gm0	gm0	NOUN
ajset-575	193	85	r0	r0	NOUN
ajset-575	193	86	c	c	NOUN
ajset-575	193	87	r	r	NOUN
ajset-575	193	88	a0	a0	NOUN
ajset-575	193	89	=	=	PUNCT
ajset-575	193	90	p	p	NOUN
ajset-575	193	91	=	=	NOUN
ajset-575	193	92	2	2	NUM
ajset-575	193	93	2	2	NUM
ajset-575	193	94	=	=	SYM
ajset-575	193	95	2	2	NUM
ajset-575	193	96	2	2	NUM
ajset-575	193	97	2	2	NUM
ajset-575	193	98	and	and	CCONJ
ajset-575	193	99	thus	thus	ADV
ajset-575	193	100	r	r	NOUN
ajset-575	193	101	r	r	NOUN
ajset-575	193	102	c	c	NOUN
ajset-575	193	103	r	r	NOUN
ajset-575	193	104	r	r	NOUN
ajset-575	193	105	c	c	NOUN
ajset-575	193	106	r0	r0	NOUN
ajset-575	193	107	r	r	NOUN
ajset-575	193	108	gm0	gm0	NOUN
ajset-575	193	109	r	r	NOUN
ajset-575	193	110	a0	a0	NOUN
ajset-575	193	111	=	=	SYM
ajset-575	193	112	2	2	NUM
ajset-575	193	113	r	r	NOUN
ajset-575	193	114	r0	r0	NOUN
ajset-575	193	115	however	however	ADV
ajset-575	193	116	,	,	PUNCT
ajset-575	193	117	according	accord	VERB
ajset-575	193	118	to	to	ADP
ajset-575	193	119	the	the	DET
ajset-575	193	120	general	general	ADJ
ajset-575	193	121	theory	theory	NOUN
ajset-575	193	122	of	of	ADP
ajset-575	193	123	relativity	relativity	NOUN
ajset-575	193	124	,	,	PUNCT
ajset-575	193	125	our	our	PRON
ajset-575	193	126	clocks	clock	NOUN
ajset-575	193	127	run	run	VERB
ajset-575	193	128	faster	fast	ADV
ajset-575	193	129	at	at	ADP
ajset-575	193	130	higher	high	ADJ
ajset-575	193	131	heights	height	NOUN
ajset-575	193	132	and	and	CCONJ
ajset-575	193	133	therefore	therefore	ADV
ajset-575	193	134	,	,	PUNCT
ajset-575	193	135	our	our	PRON
ajset-575	193	136	acceleration	acceleration	NOUN
ajset-575	193	137	at	at	ADP
ajset-575	193	138	higher	high	ADJ
ajset-575	193	139	heights	height	NOUN
ajset-575	193	140	is	be	AUX
ajset-575	193	141	actually	actually	ADV
ajset-575	193	142	greater	great	ADJ
ajset-575	193	143	than	than	SCONJ
ajset-575	193	144	it	it	PRON
ajset-575	193	145	appears	appear	VERB
ajset-575	193	146	to	to	PART
ajset-575	193	147	be	be	AUX
ajset-575	193	148	such	such	ADJ
ajset-575	193	149	that	that	SCONJ
ajset-575	193	150	:	:	PUNCT
ajset-575	193	151	a	a	DET
ajset-575	193	152	r0	r0	NOUN
ajset-575	193	153	r	r	NOUN
ajset-575	193	154	rateof	rateof	ADJ
ajset-575	193	155	real	real	ADJ
ajset-575	193	156	time	time	NOUN
ajset-575	193	157	=	=	PUNCT
ajset-575	193	158	where	where	SCONJ
ajset-575	193	159	=	=	SYM
ajset-575	193	160	a0	a0	PROPN
ajset-575	193	161	r	r	PROPN
ajset-575	193	162	r0	r0	NOUN
ajset-575	193	163	rateof	rateof	NOUN
ajset-575	193	164	perceived	perceive	VERB
ajset-575	193	165	time	time	NOUN
ajset-575	193	166	and	and	CCONJ
ajset-575	193	167	therefore	therefore	ADV
ajset-575	193	168	a	a	PRON
ajset-575	193	169	=	=	PUNCT
ajset-575	193	170	gm	gm	PROPN
ajset-575	193	171	0	0	NUM
ajset-575	193	172	/	/	SYM
ajset-575	193	173	r	r	NOUN
ajset-575	193	174	2	2	NUM
ajset-575	193	175	,	,	PUNCT
ajset-575	193	176	where	where	SCONJ
ajset-575	193	177	a	a	PRON
ajset-575	193	178	is	be	AUX
ajset-575	193	179	the	the	DET
ajset-575	193	180	apparent	apparent	ADJ
ajset-575	193	181	acceleration	acceleration	NOUN
ajset-575	193	182	and	and	CCONJ
ajset-575	193	183	m0	m0	NOUN
ajset-575	193	184	is	be	AUX
ajset-575	193	185	the	the	DET
ajset-575	193	186	apparent	apparent	ADJ
ajset-575	193	187	constant	constant	ADJ
ajset-575	193	188	mass	mass	NOUN
ajset-575	193	189	.	.	PUNCT
ajset-575	194	1	8	8	NUM
ajset-575	194	2	.	.	PUNCT
ajset-575	195	1	the	the	DET
ajset-575	195	2	principle	principle	NOUN
ajset-575	195	3	of	of	ADP
ajset-575	195	4	equivalence	equivalence	NOUN
ajset-575	195	5	and	and	CCONJ
ajset-575	195	6	the	the	DET
ajset-575	195	7	gravitation	gravitation	NOUN
ajset-575	195	8	of	of	ADP
ajset-575	195	9	matter	matter	NOUN
ajset-575	195	10	albert	albert	PROPN
ajset-575	195	11	einstein	einstein	PROPN
ajset-575	195	12	predicted	predict	VERB
ajset-575	195	13	correctly	correctly	ADV
ajset-575	195	14	by	by	ADP
ajset-575	195	15	the	the	DET
ajset-575	195	16	"	"	PUNCT
ajset-575	195	17	principle	principle	NOUN
ajset-575	195	18	of	of	ADP
ajset-575	195	19	equivalence	equivalence	NOUN
ajset-575	195	20	"	"	PUNCT
ajset-575	195	21	in	in	ADP
ajset-575	195	22	his	his	PRON
ajset-575	195	23	general	general	ADJ
ajset-575	195	24	theory	theory	NOUN
ajset-575	195	25	of	of	ADP
ajset-575	195	26	relativity	relativity	NOUN
ajset-575	195	27	that	that	PRON
ajset-575	195	28	matter	matter	NOUN
ajset-575	195	29	would	would	AUX
ajset-575	195	30	gravitate	gravitate	VERB
ajset-575	195	31	or	or	CCONJ
ajset-575	195	32	bend	bend	VERB
ajset-575	195	33	light	light	NOUN
ajset-575	195	34	and	and	CCONJ
ajset-575	195	35	slow	slow	VERB
ajset-575	195	36	down	down	ADP
ajset-575	195	37	time	time	NOUN
ajset-575	195	38	.	.	PUNCT
ajset-575	196	1	he	he	PRON
ajset-575	196	2	found	find	VERB
ajset-575	196	3	a	a	DET
ajset-575	196	4	deeper	deep	ADJ
ajset-575	196	5	significance	significance	NOUN
ajset-575	196	6	than	than	ADP
ajset-575	196	7	mere	mere	ADJ
ajset-575	196	8	coincidence	coincidence	NOUN
ajset-575	196	9	that	that	SCONJ
ajset-575	196	10	a	a	DET
ajset-575	196	11	gravitational	gravitational	ADJ
ajset-575	196	12	reference	reference	NOUN
ajset-575	196	13	system	system	NOUN
ajset-575	196	14	could	could	AUX
ajset-575	196	15	be	be	AUX
ajset-575	196	16	made	make	VERB
ajset-575	196	17	equivalent	equivalent	ADJ
ajset-575	196	18	to	to	ADP
ajset-575	196	19	a	a	DET
ajset-575	196	20	uniformly	uniformly	ADV
ajset-575	196	21	accelerated	accelerate	VERB
ajset-575	196	22	reference	reference	NOUN
ajset-575	196	23	system	system	NOUN
ajset-575	196	24	because	because	SCONJ
ajset-575	196	25	it	it	PRON
ajset-575	196	26	enabled	enable	VERB
ajset-575	196	27	him	he	PRON
ajset-575	196	28	to	to	PART
ajset-575	196	29	extend	extend	VERB
ajset-575	196	30	his	his	PRON
ajset-575	196	31	special	special	ADJ
ajset-575	196	32	theory	theory	NOUN
ajset-575	196	33	of	of	ADP
ajset-575	196	34	relativity	relativity	NOUN
ajset-575	196	35	to	to	ADP
ajset-575	196	36	his	his	PRON
ajset-575	196	37	all	all	ADV
ajset-575	196	38	-	-	PUNCT
ajset-575	196	39	encompassing	encompass	VERB
ajset-575	196	40	general	general	ADJ
ajset-575	196	41	theory	theory	NOUN
ajset-575	196	42	.	.	PUNCT
ajset-575	197	1	however	however	ADV
ajset-575	197	2	,	,	PUNCT
ajset-575	197	3	according	accord	VERB
ajset-575	197	4	to	to	ADP
ajset-575	197	5	the	the	DET
ajset-575	197	6	foregoing	forego	VERB
ajset-575	197	7	electromagnetic	electromagnetic	ADJ
ajset-575	197	8	wave	wave	NOUN
ajset-575	197	9	theory	theory	NOUN
ajset-575	197	10	of	of	ADP
ajset-575	197	11	gravity	gravity	NOUN
ajset-575	197	12	,	,	PUNCT
ajset-575	197	13	light	light	NOUN
ajset-575	197	14	is	be	AUX
ajset-575	197	15	simply	simply	ADV
ajset-575	197	16	bent	bent	ADJ
ajset-575	197	17	by	by	ADP
ajset-575	197	18	the	the	DET
ajset-575	197	19	rotating	rotate	VERB
ajset-575	197	20	wave	wave	NOUN
ajset-575	197	21	(	(	PUNCT
ajset-575	197	22	or	or	CCONJ
ajset-575	197	23	matter	matter	VERB
ajset-575	197	24	wave	wave	NOUN
ajset-575	197	25	)	)	PUNCT
ajset-575	197	26	of	of	ADP
ajset-575	197	27	the	the	DET
ajset-575	197	28	rw	rw	NOUN
ajset-575	197	29	.	.	PUNCT
ajset-575	198	1	(	(	PUNCT
ajset-575	198	2	1	1	NUM
ajset-575	198	3	(	(	PUNCT
ajset-575	198	4	1	1	NUM
ajset-575	198	5	(	(	PUNCT
ajset-575	198	6	1	1	NUM
ajset-575	198	7	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	198	8	academic	academic	ADJ
ajset-575	198	9	journal	journal	NOUN
ajset-575	198	10	of	of	ADP
ajset-575	198	11	science	science	NOUN
ajset-575	198	12	,	,	PUNCT
ajset-575	198	13	engineering	engineering	NOUN
ajset-575	198	14	and	and	CCONJ
ajset-575	198	15	technology	technology	NOUN
ajset-575	198	16	vol.6	vol.6	PROPN
ajset-575	198	17	,	,	PUNCT
ajset-575	198	18	issue	issue	NOUN
ajset-575	198	19	1	1	NUM
ajset-575	198	20	;	;	PUNCT
ajset-575	198	21	january	january	PROPN
ajset-575	198	22	febuary	febuary	PROPN
ajset-575	198	23	2021	2021	NUM
ajset-575	198	24	;	;	PUNCT
ajset-575	198	25	1252	1252	NUM
ajset-575	198	26	columbia	columbia	PROPN
ajset-575	198	27	rd	rd	PROPN
ajset-575	198	28	nw	nw	PROPN
ajset-575	198	29	,	,	PUNCT
ajset-575	198	30	washington	washington	PROPN
ajset-575	198	31	dc	dc	PROPN
ajset-575	198	32	,	,	PUNCT
ajset-575	198	33	united	united	PROPN
ajset-575	198	34	states	states	PROPN
ajset-575	198	35	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	198	36	;	;	PUNCT
ajset-575	198	37	mail	mail	NOUN
ajset-575	198	38	:	:	PUNCT
ajset-575	198	39	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	199	1	59	59	NUM
ajset-575	200	1	|	|	ADV
ajset-575	200	2	a	a	DET
ajset-575	200	3	c	c	NOUN
ajset-575	200	4	a	a	PRON
ajset-575	200	5	d	d	X
ajset-575	200	6	e	e	NOUN
ajset-575	200	7	m	m	NOUN
ajset-575	200	8	i	i	NOUN
ajset-575	200	9	c	c	NOUN
ajset-575	200	10	j	j	NOUN
ajset-575	200	11	o	o	X
ajset-575	200	12	u	u	NOUN
ajset-575	200	13	r	r	NOUN
ajset-575	200	14	n	n	NOUN
ajset-575	200	15	a	a	DET
ajset-575	200	16	l	l	NOUN
ajset-575	201	1	o	o	X
ajset-575	201	2	f	f	X
ajset-575	201	3	s	s	X
ajset-575	201	4	c	c	NOUN
ajset-575	202	1	i	i	NOUN
ajset-575	202	2	e	e	PROPN
ajset-575	202	3	n	n	PROPN
ajset-575	202	4	c	c	NOUN
ajset-575	202	5	e	e	X
ajset-575	202	6	,	,	PUNCT
ajset-575	202	7	e	e	PROPN
ajset-575	202	8	n	n	PRON
ajset-575	202	9	g	g	NOUN
ajset-575	202	10	i	i	PRON
ajset-575	202	11	n	n	VERB
ajset-575	202	12	e	e	NOUN
ajset-575	202	13	e	e	NOUN
ajset-575	202	14	r	r	VERB
ajset-575	202	15	i	i	PRON
ajset-575	202	16	n	n	CCONJ
ajset-575	202	17	g	g	PROPN
ajset-575	202	18	a	a	DET
ajset-575	202	19	n	n	NOUN
ajset-575	202	20	d	d	NOUN
ajset-575	202	21	t	t	NOUN
ajset-575	202	22	e	e	X
ajset-575	202	23	c	c	NOUN
ajset-575	202	24	h	h	NOUN
ajset-575	202	25	n	n	ADV
ajset-575	202	26	o	o	NOUN
ajset-575	202	27	l	l	NOUN
ajset-575	203	1	o	o	X
ajset-575	203	2	g	g	NOUN
ajset-575	203	3	y	y	PROPN
ajset-575	203	4	|	|	ADV
ajset-575	203	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	203	6	since	since	SCONJ
ajset-575	203	7	the	the	DET
ajset-575	203	8	rotating	rotate	VERB
ajset-575	203	9	wave	wave	NOUN
ajset-575	203	10	is	be	AUX
ajset-575	203	11	itself	itself	PRON
ajset-575	203	12	light	light	ADJ
ajset-575	203	13	,	,	PUNCT
ajset-575	203	14	then	then	ADV
ajset-575	203	15	the	the	DET
ajset-575	203	16	path	path	NOUN
ajset-575	203	17	of	of	ADP
ajset-575	203	18	that	that	DET
ajset-575	203	19	rotating	rotate	VERB
ajset-575	203	20	wave	wave	NOUN
ajset-575	203	21	will	will	AUX
ajset-575	203	22	be	be	AUX
ajset-575	203	23	bent	bent	ADJ
ajset-575	203	24	in	in	ADP
ajset-575	203	25	the	the	DET
ajset-575	203	26	same	same	ADJ
ajset-575	203	27	manner	manner	NOUN
ajset-575	203	28	by	by	ADP
ajset-575	203	29	another	another	DET
ajset-575	203	30	rw	rw	NOUN
ajset-575	203	31	;	;	PUNCT
ajset-575	203	32	thus	thus	ADV
ajset-575	203	33	two	two	NUM
ajset-575	203	34	rws	rws	VERB
ajset-575	203	35	each	each	DET
ajset-575	203	36	other	other	ADJ
ajset-575	203	37	by	by	ADP
ajset-575	203	38	such	such	ADJ
ajset-575	203	39	gravitation	gravitation	NOUN
ajset-575	203	40	.	.	PUNCT
ajset-575	204	1	the	the	DET
ajset-575	204	2	gravitation	gravitation	NOUN
ajset-575	204	3	of	of	ADP
ajset-575	204	4	anrw	anrw	PROPN
ajset-575	204	5	by	by	ADP
ajset-575	204	6	a	a	DET
ajset-575	204	7	larger	large	ADJ
ajset-575	204	8	mass	mass	NOUN
ajset-575	204	9	m	m	AUX
ajset-575	204	10	centered	center	VERB
ajset-575	204	11	at	at	ADP
ajset-575	204	12	point	point	NOUN
ajset-575	204	13	q	q	PUNCT
ajset-575	204	14	is	be	AUX
ajset-575	204	15	illustrated	illustrate	VERB
ajset-575	204	16	by	by	ADP
ajset-575	204	17	figures	figure	NOUN
ajset-575	204	18	11	11	NUM
ajset-575	204	19	and	and	CCONJ
ajset-575	204	20	12	12	NUM
ajset-575	204	21	.	.	PUNCT
ajset-575	205	1	figure	figure	NOUN
ajset-575	205	2	11	11	NUM
ajset-575	205	3	:	:	PUNCT
ajset-575	205	4	sectional	sectional	ADJ
ajset-575	205	5	plan	plan	NOUN
ajset-575	205	6	view	view	NOUN
ajset-575	205	7	of	of	ADP
ajset-575	205	8	rotating	rotate	VERB
ajset-575	205	9	wave	wave	NOUN
ajset-575	205	10	front	front	NOUN
ajset-575	205	11	centered	center	VERB
ajset-575	205	12	at	at	ADP
ajset-575	205	13	distance	distance	NOUN
ajset-575	205	14	r	r	NOUN
ajset-575	205	15	from	from	ADP
ajset-575	205	16	mass	mass	NOUN
ajset-575	205	17	m	m	VERB
ajset-575	205	18	centered	center	VERB
ajset-575	205	19	at	at	ADP
ajset-575	205	20	q	q	PROPN
ajset-575	205	21	.	.	PUNCT
ajset-575	206	1	figure12	figure12	NOUN
ajset-575	206	2	:	:	PUNCT
ajset-575	206	3	sectional	sectional	ADJ
ajset-575	206	4	side	side	NOUN
ajset-575	206	5	view	view	NOUN
ajset-575	206	6	of	of	ADP
ajset-575	206	7	rotating	rotate	VERB
ajset-575	206	8	wave	wave	NOUN
ajset-575	206	9	front	front	NOUN
ajset-575	206	10	of	of	ADP
ajset-575	206	11	rw	rw	NOUN
ajset-575	206	12	centered	center	VERB
ajset-575	206	13	at	at	ADP
ajset-575	206	14	distance	distance	NOUN
ajset-575	206	15	r	r	NOUN
ajset-575	206	16	from	from	ADP
ajset-575	206	17	massm	massm	NOUN
ajset-575	206	18	centered	center	VERB
ajset-575	206	19	at	at	ADP
ajset-575	206	20	q.	q.	PROPN
ajset-575	206	21	since	since	SCONJ
ajset-575	206	22	the	the	DET
ajset-575	206	23	motion	motion	NOUN
ajset-575	206	24	of	of	ADP
ajset-575	206	25	the	the	DET
ajset-575	206	26	electron	electron	NOUN
ajset-575	206	27	rw	rw	NOUN
ajset-575	206	28	is	be	AUX
ajset-575	206	29	limited	limit	VERB
ajset-575	206	30	to	to	ADP
ajset-575	206	31	the	the	DET
ajset-575	206	32	direction	direction	NOUN
ajset-575	206	33	of	of	ADP
ajset-575	206	34	the	the	DET
ajset-575	206	35	axis	axis	NOUN
ajset-575	206	36	of	of	ADP
ajset-575	206	37	its	its	PRON
ajset-575	206	38	spin	spin	NOUN
ajset-575	206	39	,	,	PUNCT
ajset-575	206	40	thenthe	thenthe	ADJ
ajset-575	206	41	acceleration	acceleration	NOUN
ajset-575	206	42	of	of	ADP
ajset-575	206	43	the	the	DET
ajset-575	206	44	rw	rw	NOUN
ajset-575	206	45	as	as	SCONJ
ajset-575	206	46	illustrated	illustrate	VERB
ajset-575	206	47	in	in	ADP
ajset-575	206	48	figures	figure	NOUN
ajset-575	206	49	11	11	NUM
ajset-575	206	50	and	and	CCONJ
ajset-575	206	51	12	12	NUM
ajset-575	206	52	need	need	NOUN
ajset-575	206	53	only	only	ADV
ajset-575	206	54	be	be	AUX
ajset-575	206	55	considered	consider	VERB
ajset-575	206	56	in	in	ADP
ajset-575	206	57	the	the	DET
ajset-575	206	58	direction	direction	NOUN
ajset-575	206	59	of	of	ADP
ajset-575	206	60	the	the	DET
ajset-575	206	61	axis	axis	NOUN
ajset-575	206	62	of	of	ADP
ajset-575	206	63	its	its	PRON
ajset-575	206	64	spin	spin	NOUN
ajset-575	206	65	.	.	PUNCT
ajset-575	207	1	in	in	ADP
ajset-575	207	2	figure	figure	NOUN
ajset-575	207	3	11	11	NUM
ajset-575	207	4	the	the	DET
ajset-575	207	5	rotational	rotational	ADJ
ajset-575	207	6	velocities	velocity	NOUN
ajset-575	207	7	of	of	ADP
ajset-575	207	8	the	the	DET
ajset-575	207	9	rw	rw	NOUN
ajset-575	207	10	’s	’s	PART
ajset-575	207	11	wave	wave	NOUN
ajset-575	207	12	front	front	NOUN
ajset-575	207	13	are	be	AUX
ajset-575	207	14	indicated	indicate	VERB
ajset-575	207	15	as	as	ADP
ajset-575	207	16	arrows	arrow	NOUN
ajset-575	207	17	(	(	PUNCT
ajset-575	207	18	s1	s1	NOUN
ajset-575	207	19	and	and	CCONJ
ajset-575	207	20	s2	s2	PROPN
ajset-575	207	21	)	)	PUNCT
ajset-575	207	22	coming	come	VERB
ajset-575	207	23	up	up	ADP
ajset-575	207	24	from	from	ADP
ajset-575	207	25	the	the	DET
ajset-575	207	26	page	page	NOUN
ajset-575	207	27	and	and	CCONJ
ajset-575	207	28	the	the	DET
ajset-575	207	29	wave	wave	NOUN
ajset-575	207	30	front	front	NOUN
ajset-575	207	31	lies	lie	VERB
ajset-575	207	32	in	in	ADP
ajset-575	207	33	the	the	DET
ajset-575	207	34	plane	plane	NOUN
ajset-575	207	35	of	of	ADP
ajset-575	207	36	the	the	DET
ajset-575	207	37	page	page	NOUN
ajset-575	207	38	.	.	PUNCT
ajset-575	208	1	note	note	VERB
ajset-575	208	2	that	that	SCONJ
ajset-575	208	3	at	at	ADP
ajset-575	208	4	different	different	ADJ
ajset-575	208	5	distances	distance	NOUN
ajset-575	208	6	along	along	ADP
ajset-575	208	7	the	the	DET
ajset-575	208	8	same	same	ADJ
ajset-575	208	9	radial	radial	ADJ
ajset-575	208	10	direction	direction	NOUN
ajset-575	208	11	from	from	ADP
ajset-575	208	12	q	q	NOUN
ajset-575	208	13	,	,	PUNCT
ajset-575	208	14	the	the	DET
ajset-575	208	15	ratio	ratio	NOUN
ajset-575	208	16	of	of	ADP
ajset-575	208	17	velocities	velocity	NOUN
ajset-575	208	18	qs1/(qs2	qs1/(qs2	NOUN
ajset-575	208	19	)	)	PUNCT
ajset-575	208	20	=	=	SYM
ajset-575	208	21	r1	r1	PROPN
ajset-575	208	22	/	/	SYM
ajset-575	208	23	r2	r2	PROPN
ajset-575	208	24	=	=	SYM
ajset-575	208	25	r1	r1	PROPN
ajset-575	208	26	/	/	SYM
ajset-575	208	27	r2	r2	PROPN
ajset-575	208	28	and	and	CCONJ
ajset-575	208	29	,	,	PUNCT
ajset-575	208	30	therefore	therefore	ADV
ajset-575	208	31	,	,	PUNCT
ajset-575	208	32	the	the	DET
ajset-575	208	33	instantaneous	instantaneous	ADJ
ajset-575	208	34	effects	effect	NOUN
ajset-575	208	35	of	of	ADP
ajset-575	208	36	both	both	CCONJ
ajset-575	208	37	the	the	DET
ajset-575	208	38	rw	rw	NOUN
ajset-575	208	39	and	and	CCONJ
ajset-575	208	40	larger	large	ADJ
ajset-575	208	41	mass	mass	NOUN
ajset-575	208	42	m	m	NOUN
ajset-575	208	43	on	on	ADP
ajset-575	208	44	the	the	DET
ajset-575	208	45	permittivity	permittivity	NOUN
ajset-575	208	46	and	and	CCONJ
ajset-575	208	47	permeability	permeability	NOUN
ajset-575	208	48	of	of	ADP
ajset-575	208	49	free	free	ADJ
ajset-575	208	50	space	space	NOUN
ajset-575	208	51	are	be	AUX
ajset-575	208	52	consistent	consistent	ADJ
ajset-575	208	53	.	.	PUNCT
ajset-575	209	1	however	however	ADV
ajset-575	209	2	,	,	PUNCT
ajset-575	209	3	the	the	DET
ajset-575	209	4	lines	line	NOUN
ajset-575	209	5	drawn	draw	VERB
ajset-575	209	6	radially	radially	ADV
ajset-575	209	7	from	from	ADP
ajset-575	209	8	point	point	NOUN
ajset-575	209	9	q	q	PUNCT
ajset-575	209	10	reveal	reveal	VERB
ajset-575	209	11	different	different	ADJ
ajset-575	209	12	rotational	rotational	ADJ
ajset-575	209	13	velocities	velocity	NOUN
ajset-575	209	14	at	at	ADP
ajset-575	209	15	a	a	DET
ajset-575	209	16	constant	constant	ADJ
ajset-575	209	17	radius	radius	NOUN
ajset-575	209	18	r1	r1	NOUN
ajset-575	209	19	where	where	SCONJ
ajset-575	209	20	the	the	DET
ajset-575	209	21	permittivity	permittivity	NOUN
ajset-575	209	22	and	and	CCONJ
ajset-575	209	23	permeability	permeability	NOUN
ajset-575	209	24	of	of	ADP
ajset-575	209	25	free	free	ADJ
ajset-575	209	26	space	space	NOUN
ajset-575	209	27	is	be	AUX
ajset-575	209	28	affected	affect	VERB
ajset-575	209	29	to	to	ADP
ajset-575	209	30	some	some	DET
ajset-575	209	31	degree	degree	NOUN
ajset-575	209	32	by	by	ADP
ajset-575	209	33	the	the	DET
ajset-575	209	34	larger	large	ADJ
ajset-575	209	35	mass	mass	NOUN
ajset-575	209	36	m.	m.	NOUN
ajset-575	209	37	since	since	SCONJ
ajset-575	209	38	the	the	DET
ajset-575	209	39	permittivity	permittivity	NOUN
ajset-575	209	40	and	and	CCONJ
ajset-575	209	41	permeability	permeability	NOUN
ajset-575	209	42	of	of	ADP
ajset-575	209	43	free	free	ADJ
ajset-575	209	44	space	space	NOUN
ajset-575	209	45	is	be	AUX
ajset-575	209	46	also	also	ADV
ajset-575	209	47	instantaneously	instantaneously	ADV
ajset-575	209	48	affected	affect	VERB
ajset-575	209	49	by	by	ADP
ajset-575	209	50	the	the	DET
ajset-575	209	51	rw	rw	NOUN
ajset-575	209	52	,	,	PUNCT
ajset-575	209	53	such	such	ADJ
ajset-575	209	54	that	that	SCONJ
ajset-575	209	55	the	the	DET
ajset-575	209	56	observed	observe	VERB
ajset-575	209	57	rotational	rotational	ADJ
ajset-575	209	58	velocity	velocity	NOUN
ajset-575	209	59	of	of	ADP
ajset-575	209	60	the	the	DET
ajset-575	209	61	rw	rw	NOUN
ajset-575	209	62	increases	increase	NOUN
ajset-575	209	63	in	in	ADP
ajset-575	209	64	direct	direct	ADJ
ajset-575	209	65	proportion	proportion	NOUN
ajset-575	209	66	to	to	ADP
ajset-575	209	67	its	its	PRON
ajset-575	209	68	observed	observed	ADJ
ajset-575	209	69	radius	radius	NOUN
ajset-575	209	70	of	of	ADP
ajset-575	209	71	spin	spin	NOUN
ajset-575	209	72	,	,	PUNCT
ajset-575	209	73	then	then	ADV
ajset-575	209	74	the	the	DET
ajset-575	209	75	wave	wave	NOUN
ajset-575	209	76	front	front	NOUN
ajset-575	209	77	of	of	ADP
ajset-575	209	78	the	the	DET
ajset-575	209	79	rw	rw	NOUN
ajset-575	209	80	must	must	AUX
ajset-575	209	81	remain	remain	VERB
ajset-575	209	82	planar	planar	ADJ
ajset-575	209	83	.	.	PUNCT
ajset-575	210	1	however	however	ADV
ajset-575	210	2	,	,	PUNCT
ajset-575	210	3	as	as	SCONJ
ajset-575	210	4	illustrated	illustrate	VERB
ajset-575	210	5	in	in	ADP
ajset-575	210	6	figure	figure	NOUN
ajset-575	210	7	12	12	NUM
ajset-575	210	8	,	,	PUNCT
ajset-575	210	9	the	the	DET
ajset-575	210	10	rw	rw	NOUN
ajset-575	210	11	’s	’s	PART
ajset-575	210	12	planar	planar	ADJ
ajset-575	210	13	wave	wave	NOUN
ajset-575	210	14	front	front	NOUN
ajset-575	210	15	will	will	AUX
ajset-575	210	16	be	be	AUX
ajset-575	210	17	bent	bent	ADJ
ajset-575	210	18	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	210	19	academic	academic	ADJ
ajset-575	210	20	journal	journal	NOUN
ajset-575	210	21	of	of	ADP
ajset-575	210	22	science	science	NOUN
ajset-575	210	23	,	,	PUNCT
ajset-575	210	24	engineering	engineering	NOUN
ajset-575	210	25	and	and	CCONJ
ajset-575	210	26	technology	technology	NOUN
ajset-575	210	27	vol.6	vol.6	PROPN
ajset-575	210	28	,	,	PUNCT
ajset-575	210	29	issue	issue	NOUN
ajset-575	210	30	1	1	NUM
ajset-575	210	31	;	;	PUNCT
ajset-575	210	32	january	january	PROPN
ajset-575	210	33	febuary	febuary	PROPN
ajset-575	210	34	2021	2021	NUM
ajset-575	210	35	;	;	PUNCT
ajset-575	210	36	1252	1252	NUM
ajset-575	210	37	columbia	columbia	PROPN
ajset-575	210	38	rd	rd	PROPN
ajset-575	210	39	nw	nw	PROPN
ajset-575	210	40	,	,	PUNCT
ajset-575	210	41	washington	washington	PROPN
ajset-575	210	42	dc	dc	PROPN
ajset-575	210	43	,	,	PUNCT
ajset-575	210	44	united	united	PROPN
ajset-575	210	45	states	states	PROPN
ajset-575	210	46	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	210	47	;	;	PUNCT
ajset-575	210	48	mail	mail	NOUN
ajset-575	210	49	:	:	PUNCT
ajset-575	210	50	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	211	1	60	60	NUM
ajset-575	212	1	|	|	ADV
ajset-575	212	2	a	a	DET
ajset-575	212	3	c	c	NOUN
ajset-575	212	4	a	a	PRON
ajset-575	212	5	d	d	X
ajset-575	212	6	e	e	NOUN
ajset-575	212	7	m	m	NOUN
ajset-575	212	8	i	i	NOUN
ajset-575	212	9	c	c	NOUN
ajset-575	212	10	j	j	NOUN
ajset-575	212	11	o	o	X
ajset-575	212	12	u	u	NOUN
ajset-575	212	13	r	r	NOUN
ajset-575	212	14	n	n	NOUN
ajset-575	212	15	a	a	DET
ajset-575	212	16	l	l	NOUN
ajset-575	213	1	o	o	X
ajset-575	213	2	f	f	X
ajset-575	213	3	s	s	X
ajset-575	213	4	c	c	NOUN
ajset-575	214	1	i	i	NOUN
ajset-575	214	2	e	e	PROPN
ajset-575	214	3	n	n	PROPN
ajset-575	214	4	c	c	NOUN
ajset-575	214	5	e	e	X
ajset-575	214	6	,	,	PUNCT
ajset-575	214	7	e	e	PROPN
ajset-575	214	8	n	n	PRON
ajset-575	214	9	g	g	NOUN
ajset-575	214	10	i	i	PRON
ajset-575	214	11	n	n	VERB
ajset-575	214	12	e	e	NOUN
ajset-575	214	13	e	e	NOUN
ajset-575	214	14	r	r	VERB
ajset-575	214	15	i	i	PRON
ajset-575	214	16	n	n	CCONJ
ajset-575	214	17	g	g	PROPN
ajset-575	214	18	a	a	DET
ajset-575	214	19	n	n	NOUN
ajset-575	214	20	d	d	NOUN
ajset-575	214	21	t	t	NOUN
ajset-575	214	22	e	e	X
ajset-575	214	23	c	c	NOUN
ajset-575	214	24	h	h	NOUN
ajset-575	214	25	n	n	ADV
ajset-575	214	26	o	o	NOUN
ajset-575	214	27	l	l	NOUN
ajset-575	215	1	o	o	X
ajset-575	215	2	g	g	NOUN
ajset-575	215	3	y	y	PROPN
ajset-575	215	4	|	|	ADV
ajset-575	215	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	215	6	instantaneously	instantaneously	ADV
ajset-575	215	7	as	as	SCONJ
ajset-575	215	8	it	it	PRON
ajset-575	215	9	rotates	rotate	VERB
ajset-575	215	10	about	about	ADP
ajset-575	215	11	its	its	PRON
ajset-575	215	12	axis	axis	NOUN
ajset-575	215	13	of	of	ADP
ajset-575	215	14	spin	spin	NOUN
ajset-575	215	15	which	which	PRON
ajset-575	215	16	is	be	AUX
ajset-575	215	17	directed	direct	VERB
ajset-575	215	18	towards	towards	ADP
ajset-575	215	19	q	q	PROPN
ajset-575	215	20	.	.	PUNCT
ajset-575	216	1	although	although	SCONJ
ajset-575	216	2	the	the	DET
ajset-575	216	3	wave	wave	NOUN
ajset-575	216	4	front	front	NOUN
ajset-575	216	5	of	of	ADP
ajset-575	216	6	the	the	DET
ajset-575	216	7	rotating	rotate	VERB
ajset-575	216	8	wave	wave	NOUN
ajset-575	216	9	remains	remain	VERB
ajset-575	216	10	planar	planar	ADJ
ajset-575	216	11	,	,	PUNCT
ajset-575	216	12	its	its	PRON
ajset-575	216	13	inclination	inclination	NOUN
ajset-575	216	14	with	with	ADP
ajset-575	216	15	respect	respect	NOUN
ajset-575	216	16	to	to	ADP
ajset-575	216	17	its	its	PRON
ajset-575	216	18	axis	axis	NOUN
ajset-575	216	19	of	of	ADP
ajset-575	216	20	spin	spin	NOUN
ajset-575	216	21	increases	increase	NOUN
ajset-575	216	22	as	as	ADP
ajset-575	216	23	the	the	DET
ajset-575	216	24	wave	wave	NOUN
ajset-575	216	25	rotates	rotate	NOUN
ajset-575	216	26	and	and	CCONJ
ajset-575	216	27	the	the	DET
ajset-575	216	28	rw	rw	NOUN
ajset-575	216	29	is	be	AUX
ajset-575	216	30	thus	thus	ADV
ajset-575	216	31	accelerated	accelerate	VERB
ajset-575	216	32	to	to	PART
ajset-575	216	33	point	point	VERB
ajset-575	216	34	q	q	PROPN
ajset-575	216	35	.	.	PUNCT
ajset-575	217	1	the	the	DET
ajset-575	217	2	rw	rw	NOUN
ajset-575	217	3	equally	equally	ADV
ajset-575	217	4	shows	show	VERB
ajset-575	217	5	by	by	ADP
ajset-575	217	6	huygen	huygen	PROPN
ajset-575	217	7	wavelets	wavelet	NOUN
ajset-575	217	8	how	how	SCONJ
ajset-575	217	9	light	light	NOUN
ajset-575	217	10	is	be	AUX
ajset-575	217	11	gravitated	gravitate	VERB
ajset-575	217	12	or	or	CCONJ
ajset-575	217	13	bent	bent	ADJ
ajset-575	217	14	and	and	CCONJ
ajset-575	217	15	thus	thus	ADV
ajset-575	217	16	how	how	SCONJ
ajset-575	217	17	matter	matter	NOUN
ajset-575	217	18	is	be	AUX
ajset-575	217	19	gravitated	gravitate	VERB
ajset-575	217	20	.	.	PUNCT
ajset-575	218	1	also	also	ADV
ajset-575	218	2	,	,	PUNCT
ajset-575	218	3	the	the	DET
ajset-575	218	4	electromagnetic	electromagnetic	ADJ
ajset-575	218	5	wave	wave	NOUN
ajset-575	218	6	theory	theory	NOUN
ajset-575	218	7	of	of	ADP
ajset-575	218	8	gravity	gravity	NOUN
ajset-575	218	9	shows	show	NOUN
ajset-575	218	10	by	by	ADP
ajset-575	218	11	huygen	huygen	PROPN
ajset-575	218	12	wavelets	wavelet	NOUN
ajset-575	218	13	how	how	SCONJ
ajset-575	218	14	light	light	NOUN
ajset-575	218	15	is	be	AUX
ajset-575	218	16	permitted	permit	VERB
ajset-575	218	17	to	to	PART
ajset-575	218	18	go	go	VERB
ajset-575	218	19	at	at	ADP
ajset-575	218	20	greater	great	ADJ
ajset-575	218	21	speeds	speed	NOUN
ajset-575	218	22	at	at	ADP
ajset-575	218	23	distances	distance	NOUN
ajset-575	218	24	further	far	ADV
ajset-575	218	25	from	from	ADP
ajset-575	218	26	the	the	DET
ajset-575	218	27	centre	centre	NOUN
ajset-575	218	28	of	of	ADP
ajset-575	218	29	the	the	DET
ajset-575	218	30	rw	rw	NOUN
ajset-575	218	31	.	.	PUNCT
ajset-575	219	1	again	again	ADV
ajset-575	219	2	,	,	PUNCT
ajset-575	219	3	since	since	SCONJ
ajset-575	219	4	the	the	DET
ajset-575	219	5	rotating	rotate	VERB
ajset-575	219	6	wave	wave	NOUN
ajset-575	219	7	of	of	ADP
ajset-575	219	8	the	the	DET
ajset-575	219	9	rw	rw	NOUN
ajset-575	219	10	is	be	AUX
ajset-575	219	11	light	light	ADJ
ajset-575	219	12	,	,	PUNCT
ajset-575	219	13	then	then	ADV
ajset-575	219	14	the	the	DET
ajset-575	219	15	velocity	velocity	NOUN
ajset-575	219	16	of	of	ADP
ajset-575	219	17	that	that	DET
ajset-575	219	18	rotating	rotate	VERB
ajset-575	219	19	wave	wave	NOUN
ajset-575	219	20	will	will	AUX
ajset-575	219	21	be	be	AUX
ajset-575	219	22	affected	affect	VERB
ajset-575	219	23	in	in	ADP
ajset-575	219	24	the	the	DET
ajset-575	219	25	same	same	ADJ
ajset-575	219	26	manner	manner	NOUN
ajset-575	219	27	by	by	ADP
ajset-575	219	28	the	the	DET
ajset-575	219	29	proximity	proximity	NOUN
ajset-575	219	30	of	of	ADP
ajset-575	219	31	another	another	DET
ajset-575	219	32	rw	rw	NOUN
ajset-575	219	33	.	.	PUNCT
ajset-575	220	1	hence	hence	ADV
ajset-575	220	2	the	the	DET
ajset-575	220	3	spin	spin	NOUN
ajset-575	220	4	frequency	frequency	NOUN
ajset-575	220	5	of	of	ADP
ajset-575	220	6	the	the	DET
ajset-575	220	7	two	two	NUM
ajset-575	220	8	rws	rws	NOUN
ajset-575	220	9	in	in	ADP
ajset-575	220	10	close	close	ADJ
ajset-575	220	11	proximity	proximity	NOUN
ajset-575	220	12	will	will	AUX
ajset-575	220	13	be	be	AUX
ajset-575	220	14	less	less	ADJ
ajset-575	220	15	than	than	ADP
ajset-575	220	16	that	that	PRON
ajset-575	220	17	of	of	ADP
ajset-575	220	18	two	two	NUM
ajset-575	220	19	rws	rws	NOUN
ajset-575	220	20	separated	separate	VERB
ajset-575	220	21	by	by	ADP
ajset-575	220	22	a	a	DET
ajset-575	220	23	greater	great	ADJ
ajset-575	220	24	distance	distance	NOUN
ajset-575	220	25	.	.	PUNCT
ajset-575	221	1	therefore	therefore	ADV
ajset-575	221	2	,	,	PUNCT
ajset-575	221	3	the	the	DET
ajset-575	221	4	electromagnetic	electromagnetic	ADJ
ajset-575	221	5	wave	wave	NOUN
ajset-575	221	6	theory	theory	NOUN
ajset-575	221	7	of	of	ADP
ajset-575	221	8	gravity	gravity	NOUN
ajset-575	221	9	enables	enable	VERB
ajset-575	221	10	a	a	DET
ajset-575	221	11	reinterpretation	reinterpretation	NOUN
ajset-575	221	12	of	of	ADP
ajset-575	221	13	the	the	DET
ajset-575	221	14	general	general	ADJ
ajset-575	221	15	theory	theory	NOUN
ajset-575	221	16	of	of	ADP
ajset-575	221	17	relativity	relativity	NOUN
ajset-575	221	18	by	by	ADP
ajset-575	221	19	predicting	predict	VERB
ajset-575	221	20	,	,	PUNCT
ajset-575	221	21	first	first	ADV
ajset-575	221	22	,	,	PUNCT
ajset-575	221	23	the	the	DET
ajset-575	221	24	gravitation	gravitation	NOUN
ajset-575	221	25	and	and	CCONJ
ajset-575	221	26	slowing	slow	VERB
ajset-575	221	27	down	down	ADP
ajset-575	221	28	of	of	ADP
ajset-575	221	29	light	light	NOUN
ajset-575	221	30	and	and	CCONJ
ajset-575	221	31	,	,	PUNCT
ajset-575	221	32	second	second	ADJ
ajset-575	221	33	,	,	PUNCT
ajset-575	221	34	the	the	DET
ajset-575	221	35	gravitation	gravitation	NOUN
ajset-575	221	36	and	and	CCONJ
ajset-575	221	37	slowing	slow	VERB
ajset-575	221	38	down	down	ADP
ajset-575	221	39	of	of	ADP
ajset-575	221	40	the	the	DET
ajset-575	221	41	time	time	NOUN
ajset-575	221	42	cycle	cycle	NOUN
ajset-575	221	43	of	of	ADP
ajset-575	221	44	matter	matter	NOUN
ajset-575	221	45	.	.	PUNCT
ajset-575	222	1	the	the	DET
ajset-575	222	2	“	"	PUNCT
ajset-575	222	3	principle	principle	NOUN
ajset-575	222	4	of	of	ADP
ajset-575	222	5	equivalence	equivalence	NOUN
ajset-575	222	6	”	"	PUNCT
ajset-575	222	7	can	can	AUX
ajset-575	222	8	be	be	AUX
ajset-575	222	9	explained	explain	VERB
ajset-575	222	10	by	by	ADP
ajset-575	222	11	the	the	DET
ajset-575	222	12	equivalence	equivalence	NOUN
ajset-575	222	13	of	of	ADP
ajset-575	222	14	light	light	NOUN
ajset-575	222	15	and	and	CCONJ
ajset-575	222	16	matter	matter	VERB
ajset-575	222	17	according	accord	VERB
ajset-575	222	18	to	to	ADP
ajset-575	222	19	the	the	DET
ajset-575	222	20	concept	concept	NOUN
ajset-575	222	21	of	of	ADP
ajset-575	222	22	the	the	DET
ajset-575	222	23	rw	rw	NOUN
ajset-575	222	24	.	.	PROPN
ajset-575	222	25	9	9	NUM
ajset-575	222	26	.	.	PUNCT
ajset-575	222	27	graphical	graphical	ADJ
ajset-575	222	28	derivation	derivation	NOUN
ajset-575	222	29	of	of	ADP
ajset-575	222	30	the	the	DET
ajset-575	222	31	rk	rk	PROPN
ajset-575	222	32	and	and	CCONJ
ajset-575	222	33	gk	gk	PROPN
ajset-575	222	34	in	in	ADP
ajset-575	222	35	the	the	DET
ajset-575	222	36	general	general	ADJ
ajset-575	222	37	theory	theory	NOUN
ajset-575	222	38	of	of	ADP
ajset-575	222	39	relativity	relativity	NOUN
ajset-575	222	40	tensor	tensor	NOUN
ajset-575	222	41	math	math	NOUN
ajset-575	222	42	forms	form	VERB
ajset-575	222	43	the	the	DET
ajset-575	222	44	mathematical	mathematical	ADJ
ajset-575	222	45	foundation	foundation	NOUN
ajset-575	222	46	upon	upon	SCONJ
ajset-575	222	47	which	which	PRON
ajset-575	222	48	the	the	DET
ajset-575	222	49	laws	law	NOUN
ajset-575	222	50	of	of	ADP
ajset-575	222	51	einstein	einstein	PROPN
ajset-575	222	52	’s	’s	PART
ajset-575	222	53	general	general	ADJ
ajset-575	222	54	theory	theory	NOUN
ajset-575	222	55	of	of	ADP
ajset-575	222	56	relativity	relativity	NOUN
ajset-575	222	57	are	be	AUX
ajset-575	222	58	defined	define	VERB
ajset-575	222	59	.	.	PUNCT
ajset-575	223	1	the	the	DET
ajset-575	223	2	rotating	rotate	VERB
ajset-575	223	3	wave	wave	NOUN
ajset-575	223	4	also	also	ADV
ajset-575	223	5	shows	show	VERB
ajset-575	223	6	how	how	SCONJ
ajset-575	223	7	tensor	tensor	NOUN
ajset-575	223	8	math	math	NOUN
ajset-575	223	9	allows	allow	VERB
ajset-575	223	10	for	for	ADP
ajset-575	223	11	the	the	DET
ajset-575	223	12	calculation	calculation	NOUN
ajset-575	223	13	of	of	ADP
ajset-575	223	14	intrinsic	intrinsic	ADJ
ajset-575	223	15	curvature	curvature	NOUN
ajset-575	223	16	of	of	ADP
ajset-575	223	17	space	space	NOUN
ajset-575	223	18	-	-	PUNCT
ajset-575	223	19	time	time	NOUN
ajset-575	223	20	.	.	PUNCT
ajset-575	224	1	according	accord	VERB
ajset-575	224	2	to	to	ADP
ajset-575	224	3	relativity	relativity	NOUN
ajset-575	224	4	,	,	PUNCT
ajset-575	224	5	it	it	PRON
ajset-575	224	6	must	must	AUX
ajset-575	224	7	be	be	AUX
ajset-575	224	8	just	just	ADV
ajset-575	224	9	as	as	ADV
ajset-575	224	10	valid	valid	ADJ
ajset-575	224	11	in	in	ADP
ajset-575	224	12	one	one	NUM
ajset-575	224	13	reference	reference	NOUN
ajset-575	224	14	frame	frame	NOUN
ajset-575	224	15	to	to	PART
ajset-575	224	16	analyze	analyze	VERB
ajset-575	224	17	the	the	DET
ajset-575	224	18	path	path	NOUN
ajset-575	224	19	of	of	ADP
ajset-575	224	20	free	free	ADJ
ajset-575	224	21	falling	fall	VERB
ajset-575	224	22	light	light	NOUN
ajset-575	224	23	influenced	influence	VERB
ajset-575	224	24	by	by	ADP
ajset-575	224	25	the	the	DET
ajset-575	224	26	gravitational	gravitational	ADJ
ajset-575	224	27	field	field	NOUN
ajset-575	224	28	of	of	ADP
ajset-575	224	29	a	a	DET
ajset-575	224	30	stationary	stationary	ADJ
ajset-575	224	31	mass	mass	NOUN
ajset-575	224	32	in	in	ADP
ajset-575	224	33	order	order	NOUN
ajset-575	224	34	to	to	PART
ajset-575	224	35	describe	describe	VERB
ajset-575	224	36	the	the	DET
ajset-575	224	37	curvature	curvature	NOUN
ajset-575	224	38	of	of	ADP
ajset-575	224	39	spacetime	spacetime	NOUN
ajset-575	224	40	as	as	SCONJ
ajset-575	224	41	it	it	PRON
ajset-575	224	42	is	be	AUX
ajset-575	224	43	to	to	PART
ajset-575	224	44	postulate	postulate	VERB
ajset-575	224	45	in	in	ADP
ajset-575	224	46	another	another	DET
ajset-575	224	47	reference	reference	NOUN
ajset-575	224	48	frame	frame	VERB
ajset-575	224	49	the	the	DET
ajset-575	224	50	curvature	curvature	NOUN
ajset-575	224	51	of	of	ADP
ajset-575	224	52	space	space	NOUN
ajset-575	224	53	-	-	PUNCT
ajset-575	224	54	time	time	NOUN
ajset-575	224	55	by	by	ADP
ajset-575	224	56	the	the	DET
ajset-575	224	57	mass	mass	PROPN
ajset-575	224	58	energy	energy	NOUN
ajset-575	224	59	density	density	NOUN
ajset-575	224	60	tensor	tensor	NOUN
ajset-575	224	61	of	of	ADP
ajset-575	224	62	an	an	DET
ajset-575	224	63	attracting	attract	VERB
ajset-575	224	64	mass	mass	NOUN
ajset-575	224	65	which	which	PRON
ajset-575	224	66	is	be	AUX
ajset-575	224	67	in	in	ADP
ajset-575	224	68	motion	motion	NOUN
ajset-575	224	69	.	.	PUNCT
ajset-575	225	1	furthermore	furthermore	ADV
ajset-575	225	2	,	,	PUNCT
ajset-575	225	3	according	accord	VERB
ajset-575	225	4	to	to	ADP
ajset-575	225	5	the	the	DET
ajset-575	225	6	above	above	ADP
ajset-575	225	7	8	8	NUM
ajset-575	225	8	.	.	PUNCT
ajset-575	226	1	the	the	DET
ajset-575	226	2	principle	principle	NOUN
ajset-575	226	3	of	of	ADP
ajset-575	226	4	equivalence	equivalence	NOUN
ajset-575	226	5	and	and	CCONJ
ajset-575	226	6	gravitation	gravitation	NOUN
ajset-575	226	7	of	of	ADP
ajset-575	226	8	matter	matter	NOUN
ajset-575	226	9	,	,	PUNCT
ajset-575	226	10	the	the	DET
ajset-575	226	11	analysis	analysis	NOUN
ajset-575	226	12	of	of	ADP
ajset-575	226	13	the	the	DET
ajset-575	226	14	path	path	NOUN
ajset-575	226	15	of	of	ADP
ajset-575	226	16	free	free	ADJ
ajset-575	226	17	falling	fall	VERB
ajset-575	226	18	light	light	NOUN
ajset-575	226	19	in	in	ADP
ajset-575	226	20	the	the	DET
ajset-575	226	21	the	the	DET
ajset-575	226	22	rotating	rotate	VERB
ajset-575	226	23	wave	wave	NOUN
ajset-575	226	24	must	must	AUX
ajset-575	226	25	be	be	AUX
ajset-575	226	26	equivalent	equivalent	ADJ
ajset-575	226	27	to	to	ADP
ajset-575	226	28	describing	describe	VERB
ajset-575	226	29	the	the	DET
ajset-575	226	30	gravitational	gravitational	ADJ
ajset-575	226	31	field	field	NOUN
ajset-575	226	32	about	about	ADP
ajset-575	226	33	a	a	DET
ajset-575	226	34	stationary	stationary	ADJ
ajset-575	226	35	attracting	attract	VERB
ajset-575	226	36	mass	mass	NOUN
ajset-575	226	37	.	.	PUNCT
ajset-575	227	1	when	when	SCONJ
ajset-575	227	2	there	there	PRON
ajset-575	227	3	is	be	VERB
ajset-575	227	4	an	an	DET
ajset-575	227	5	attracting	attract	VERB
ajset-575	227	6	mass	mass	NOUN
ajset-575	227	7	,	,	PUNCT
ajset-575	227	8	gravity	gravity	NOUN
ajset-575	227	9	will	will	AUX
ajset-575	227	10	accelerate	accelerate	VERB
ajset-575	227	11	a	a	DET
ajset-575	227	12	free	free	ADJ
ajset-575	227	13	falling	fall	VERB
ajset-575	227	14	rotating	rotating	NOUN
ajset-575	227	15	wave	wave	NOUN
ajset-575	227	16	.	.	PUNCT
ajset-575	228	1	the	the	DET
ajset-575	228	2	axis	axis	NOUN
ajset-575	228	3	of	of	ADP
ajset-575	228	4	rotation	rotation	NOUN
ajset-575	228	5	of	of	ADP
ajset-575	228	6	the	the	DET
ajset-575	228	7	rotating	rotate	VERB
ajset-575	228	8	wave	wave	NOUN
ajset-575	228	9	will	will	AUX
ajset-575	228	10	of	of	ADP
ajset-575	228	11	course	course	NOUN
ajset-575	228	12	be	be	AUX
ajset-575	228	13	in	in	ADP
ajset-575	228	14	the	the	DET
ajset-575	228	15	direction	direction	NOUN
ajset-575	228	16	of	of	ADP
ajset-575	228	17	motion	motion	NOUN
ajset-575	228	18	towards	towards	ADP
ajset-575	228	19	the	the	DET
ajset-575	228	20	attracting	attract	VERB
ajset-575	228	21	mass	mass	NOUN
ajset-575	228	22	.	.	PUNCT
ajset-575	229	1	as	as	ADP
ajset-575	229	2	the	the	DET
ajset-575	229	3	forward	forward	ADJ
ajset-575	229	4	motion	motion	NOUN
ajset-575	229	5	increases	increase	NOUN
ajset-575	229	6	,	,	PUNCT
ajset-575	229	7	the	the	DET
ajset-575	229	8	planar	planar	ADJ
ajset-575	229	9	wave	wave	NOUN
ajset-575	229	10	fronts	front	NOUN
ajset-575	229	11	of	of	ADP
ajset-575	229	12	the	the	DET
ajset-575	229	13	rotating	rotate	VERB
ajset-575	229	14	wave	wave	NOUN
ajset-575	229	15	will	will	AUX
ajset-575	229	16	incline	incline	VERB
ajset-575	229	17	as	as	SCONJ
ajset-575	229	18	illustrated	illustrate	VERB
ajset-575	229	19	in	in	ADP
ajset-575	229	20	figure	figure	NOUN
ajset-575	229	21	6	6	NUM
ajset-575	229	22	.	.	PUNCT
ajset-575	230	1	while	while	SCONJ
ajset-575	230	2	potential	potential	ADJ
ajset-575	230	3	energy	energy	NOUN
ajset-575	230	4	is	be	AUX
ajset-575	230	5	converted	convert	VERB
ajset-575	230	6	into	into	ADP
ajset-575	230	7	kinetic	kinetic	ADJ
ajset-575	230	8	energy	energy	NOUN
ajset-575	230	9	(	(	PUNCT
ajset-575	230	10	as	as	ADP
ajset-575	230	11	per	per	ADP
ajset-575	230	12	e2	e2	NOUN
ajset-575	230	13	=	=	SYM
ajset-575	230	14	pvc	pvc	ADJ
ajset-575	230	15	2	2	NUM
ajset-575	230	16	e	e	NOUN
ajset-575	230	17	0	0	NUM
ajset-575	230	18	2	2	NUM
ajset-575	230	19	above	above	ADP
ajset-575	230	20	)	)	PUNCT
ajset-575	230	21	,	,	PUNCT
ajset-575	230	22	extra	extra	ADJ
ajset-575	230	23	work	work	NOUN
ajset-575	230	24	will	will	AUX
ajset-575	230	25	also	also	ADV
ajset-575	230	26	be	be	AUX
ajset-575	230	27	done	do	VERB
ajset-575	230	28	and	and	CCONJ
ajset-575	230	29	thus	thus	ADV
ajset-575	230	30	energy	energy	NOUN
ajset-575	230	31	expended	expend	VERB
ajset-575	230	32	on	on	ADP
ajset-575	230	33	the	the	DET
ajset-575	230	34	rotating	rotate	VERB
ajset-575	230	35	wave	wave	NOUN
ajset-575	230	36	to	to	PART
ajset-575	230	37	incline	incline	VERB
ajset-575	230	38	or	or	CCONJ
ajset-575	230	39	bend	bend	VERB
ajset-575	230	40	the	the	DET
ajset-575	230	41	rotating	rotate	VERB
ajset-575	230	42	planar	planar	ADJ
ajset-575	230	43	wave	wave	NOUN
ajset-575	230	44	fronts	front	NOUN
ajset-575	230	45	.	.	PUNCT
ajset-575	231	1	this	this	PRON
ajset-575	231	2	is	be	AUX
ajset-575	231	3	just	just	ADV
ajset-575	231	4	like	like	ADP
ajset-575	231	5	the	the	DET
ajset-575	231	6	bending	bending	NOUN
ajset-575	231	7	of	of	ADP
ajset-575	231	8	light	light	NOUN
ajset-575	231	9	by	by	ADP
ajset-575	231	10	mass	mass	NOUN
ajset-575	231	11	in	in	ADP
ajset-575	231	12	the	the	DET
ajset-575	231	13	above	above	ADP
ajset-575	231	14	7	7	NUM
ajset-575	231	15	.	.	PUNCT
ajset-575	232	1	an	an	DET
ajset-575	232	2	electromagnetic	electromagnetic	ADJ
ajset-575	232	3	theory	theory	NOUN
ajset-575	232	4	of	of	ADP
ajset-575	232	5	gravity	gravity	NOUN
ajset-575	232	6	.	.	PUNCT
ajset-575	233	1	this	this	DET
ajset-575	233	2	extra	extra	ADJ
ajset-575	233	3	change	change	NOUN
ajset-575	233	4	in	in	ADP
ajset-575	233	5	energy	energy	NOUN
ajset-575	233	6	is	be	AUX
ajset-575	233	7	thus	thus	ADV
ajset-575	233	8	associated	associate	VERB
ajset-575	233	9	with	with	ADP
ajset-575	233	10	the	the	DET
ajset-575	233	11	slowing	slowing	NOUN
ajset-575	233	12	down	down	ADP
ajset-575	233	13	of	of	ADP
ajset-575	233	14	the	the	DET
ajset-575	233	15	time	time	NOUN
ajset-575	233	16	cycle	cycle	NOUN
ajset-575	233	17	of	of	ADP
ajset-575	233	18	the	the	DET
ajset-575	233	19	rotating	rotate	VERB
ajset-575	233	20	wave	wave	NOUN
ajset-575	233	21	regardless	regardless	ADV
ajset-575	233	22	of	of	ADP
ajset-575	233	23	whether	whether	SCONJ
ajset-575	233	24	it	it	PRON
ajset-575	233	25	is	be	AUX
ajset-575	233	26	in	in	ADP
ajset-575	233	27	free	free	ADJ
ajset-575	233	28	fall	fall	NOUN
ajset-575	233	29	motion	motion	NOUN
ajset-575	233	30	or	or	CCONJ
ajset-575	233	31	not	not	PART
ajset-575	233	32	.	.	PUNCT
ajset-575	234	1	the	the	DET
ajset-575	234	2	fact	fact	NOUN
ajset-575	234	3	is	be	AUX
ajset-575	234	4	that	that	SCONJ
ajset-575	234	5	mass	mass	NOUN
ajset-575	234	6	does	do	AUX
ajset-575	234	7	slow	slow	VERB
ajset-575	234	8	down	down	ADP
ajset-575	234	9	time	time	NOUN
ajset-575	234	10	(	(	PUNCT
ajset-575	234	11	“	"	PUNCT
ajset-575	234	12	clocks	clock	NOUN
ajset-575	234	13	run	run	VERB
ajset-575	234	14	faster	fast	ADV
ajset-575	234	15	at	at	ADP
ajset-575	234	16	higher	high	ADJ
ajset-575	234	17	heights	height	NOUN
ajset-575	234	18	”	"	PUNCT
ajset-575	234	19	)	)	PUNCT
ajset-575	234	20	and	and	CCONJ
ajset-575	234	21	a	a	DET
ajset-575	234	22	stationary	stationary	ADJ
ajset-575	234	23	rotating	rotate	VERB
ajset-575	234	24	wave	wave	NOUN
ajset-575	234	25	thus	thus	ADV
ajset-575	234	26	must	must	AUX
ajset-575	234	27	slow	slow	VERB
ajset-575	234	28	down	down	ADP
ajset-575	234	29	in	in	ADP
ajset-575	234	30	the	the	DET
ajset-575	234	31	presence	presence	NOUN
ajset-575	234	32	of	of	ADP
ajset-575	234	33	an	an	DET
ajset-575	234	34	attracting	attract	VERB
ajset-575	234	35	mass	mass	NOUN
ajset-575	234	36	.	.	PUNCT
ajset-575	235	1	when	when	SCONJ
ajset-575	235	2	there	there	PRON
ajset-575	235	3	is	be	VERB
ajset-575	235	4	no	no	DET
ajset-575	235	5	attracting	attract	VERB
ajset-575	235	6	mass	mass	NOUN
ajset-575	235	7	present	present	ADJ
ajset-575	235	8	,	,	PUNCT
ajset-575	235	9	the	the	DET
ajset-575	235	10	radius	radius	NOUN
ajset-575	235	11	r0	r0	NOUN
ajset-575	235	12	at	at	ADP
ajset-575	235	13	which	which	PRON
ajset-575	235	14	the	the	DET
ajset-575	235	15	rotating	rotate	VERB
ajset-575	235	16	wave	wave	NOUN
ajset-575	235	17	rotates	rotate	VERB
ajset-575	235	18	at	at	ADP
ajset-575	235	19	velocity	velocity	NOUN
ajset-575	235	20	vr	vr	X
ajset-575	235	21	=	=	PUNCT
ajset-575	235	22	c	c	NOUN
ajset-575	235	23	v	v	NOUN
ajset-575	235	24	stays	stay	VERB
ajset-575	235	25	constant	constant	ADJ
ajset-575	235	26	as	as	ADP
ajset-575	235	27	per	per	ADP
ajset-575	235	28	figure	figure	NOUN
ajset-575	235	29	5	5	NUM
ajset-575	235	30	.	.	PUNCT
ajset-575	236	1	when	when	SCONJ
ajset-575	236	2	there	there	PRON
ajset-575	236	3	is	be	VERB
ajset-575	236	4	an	an	DET
ajset-575	236	5	attracting	attract	VERB
ajset-575	236	6	mass	mass	NOUN
ajset-575	236	7	present	present	ADJ
ajset-575	236	8	,	,	PUNCT
ajset-575	236	9	the	the	DET
ajset-575	236	10	radius	radius	NOUN
ajset-575	236	11	at	at	ADP
ajset-575	236	12	which	which	PRON
ajset-575	236	13	the	the	DET
ajset-575	236	14	rotating	rotate	VERB
ajset-575	236	15	wave	wave	NOUN
ajset-575	236	16	rotates	rotate	NOUN
ajset-575	236	17	must	must	AUX
ajset-575	236	18	increase	increase	VERB
ajset-575	236	19	as	as	SCONJ
ajset-575	236	20	its	its	PRON
ajset-575	236	21	time	time	NOUN
ajset-575	236	22	cycle	cycle	NOUN
ajset-575	236	23	of	of	ADP
ajset-575	236	24	rotation	rotation	NOUN
ajset-575	236	25	slows	slow	VERB
ajset-575	236	26	down	down	ADP
ajset-575	236	27	.	.	PUNCT
ajset-575	237	1	this	this	DET
ajset-575	237	2	increase	increase	NOUN
ajset-575	237	3	in	in	ADP
ajset-575	237	4	the	the	DET
ajset-575	237	5	radius	radius	NOUN
ajset-575	237	6	of	of	ADP
ajset-575	237	7	the	the	DET
ajset-575	237	8	rotating	rotate	VERB
ajset-575	237	9	wave	wave	NOUN
ajset-575	237	10	will	will	AUX
ajset-575	237	11	be	be	AUX
ajset-575	237	12	referred	refer	VERB
ajset-575	237	13	to	to	ADP
ajset-575	237	14	as	as	ADP
ajset-575	237	15	the	the	DET
ajset-575	237	16	spiral	spiral	ADJ
ajset-575	237	17	condition	condition	NOUN
ajset-575	237	18	.	.	PUNCT
ajset-575	238	1	note	note	VERB
ajset-575	238	2	the	the	DET
ajset-575	238	3	velocities	velocity	NOUN
ajset-575	238	4	of	of	ADP
ajset-575	238	5	the	the	DET
ajset-575	238	6	rotating	rotate	VERB
ajset-575	238	7	wave	wave	NOUN
ajset-575	238	8	in	in	ADP
ajset-575	238	9	one	one	NUM
ajset-575	238	10	reference	reference	NOUN
ajset-575	238	11	frame	frame	NOUN
ajset-575	238	12	must	must	AUX
ajset-575	238	13	correspond	correspond	VERB
ajset-575	238	14	to	to	ADP
ajset-575	238	15	those	those	DET
ajset-575	238	16	velocities	velocity	NOUN
ajset-575	238	17	of	of	ADP
ajset-575	238	18	the	the	DET
ajset-575	238	19	mass	mass	ADJ
ajset-575	238	20	energy	energy	NOUN
ajset-575	238	21	density	density	NOUN
ajset-575	238	22	tensor	tensor	NOUN
ajset-575	238	23	of	of	ADP
ajset-575	238	24	an	an	DET
ajset-575	238	25	attracting	attract	VERB
ajset-575	238	26	mass	mass	NOUN
ajset-575	238	27	in	in	ADP
ajset-575	238	28	another	another	DET
ajset-575	238	29	reference	reference	NOUN
ajset-575	238	30	frame	frame	NOUN
ajset-575	238	31	.	.	PUNCT
ajset-575	239	1	whereas	whereas	SCONJ
ajset-575	239	2	in	in	ADP
ajset-575	239	3	the	the	DET
ajset-575	239	4	general	general	ADJ
ajset-575	239	5	theory	theory	NOUN
ajset-575	239	6	of	of	ADP
ajset-575	239	7	relativity	relativity	NOUN
ajset-575	239	8	the	the	DET
ajset-575	239	9	attracting	attract	VERB
ajset-575	239	10	mass	mass	NOUN
ajset-575	239	11	is	be	AUX
ajset-575	239	12	defined	define	VERB
ajset-575	239	13	by	by	ADP
ajset-575	239	14	the	the	DET
ajset-575	239	15	mass	mass	PROPN
ajset-575	239	16	energy	energy	NOUN
ajset-575	239	17	density	density	NOUN
ajset-575	239	18	tensor	tensor	NOUN
ajset-575	239	19	and	and	CCONJ
ajset-575	239	20	related	relate	VERB
ajset-575	239	21	to	to	ADP
ajset-575	239	22	the	the	DET
ajset-575	239	23	reimannian	reimannian	ADJ
ajset-575	239	24	curvature	curvature	NOUN
ajset-575	239	25	of	of	ADP
ajset-575	239	26	space	space	NOUN
ajset-575	239	27	-	-	PUNCT
ajset-575	239	28	time	time	NOUN
ajset-575	239	29	,	,	PUNCT
ajset-575	239	30	the	the	DET
ajset-575	239	31	following	follow	VERB
ajset-575	239	32	derivation	derivation	NOUN
ajset-575	239	33	of	of	ADP
ajset-575	239	34	the	the	DET
ajset-575	239	35	r	r	NOUN
ajset-575	239	36	kl	kl	NOUN
ajset-575	239	37	is	be	AUX
ajset-575	239	38	directly	directly	ADV
ajset-575	239	39	deduced	deduce	VERB
ajset-575	239	40	by	by	ADP
ajset-575	239	41	first	first	ADV
ajset-575	239	42	defining	define	VERB
ajset-575	239	43	the	the	DET
ajset-575	239	44	path	path	NOUN
ajset-575	239	45	of	of	ADP
ajset-575	239	46	the	the	DET
ajset-575	239	47	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	239	48	academic	academic	ADJ
ajset-575	239	49	journal	journal	NOUN
ajset-575	239	50	of	of	ADP
ajset-575	239	51	science	science	NOUN
ajset-575	239	52	,	,	PUNCT
ajset-575	239	53	engineering	engineering	NOUN
ajset-575	239	54	and	and	CCONJ
ajset-575	239	55	technology	technology	NOUN
ajset-575	239	56	vol.6	vol.6	PROPN
ajset-575	239	57	,	,	PUNCT
ajset-575	239	58	issue	issue	NOUN
ajset-575	239	59	1	1	NUM
ajset-575	239	60	;	;	PUNCT
ajset-575	239	61	january	january	PROPN
ajset-575	239	62	febuary	febuary	PROPN
ajset-575	239	63	2021	2021	NUM
ajset-575	239	64	;	;	PUNCT
ajset-575	239	65	1252	1252	NUM
ajset-575	239	66	columbia	columbia	PROPN
ajset-575	239	67	rd	rd	PROPN
ajset-575	239	68	nw	nw	PROPN
ajset-575	239	69	,	,	PUNCT
ajset-575	239	70	washington	washington	PROPN
ajset-575	239	71	dc	dc	PROPN
ajset-575	239	72	,	,	PUNCT
ajset-575	239	73	united	united	PROPN
ajset-575	239	74	states	states	PROPN
ajset-575	239	75	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	239	76	;	;	PUNCT
ajset-575	239	77	mail	mail	NOUN
ajset-575	239	78	:	:	PUNCT
ajset-575	239	79	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	240	1	61	61	NUM
ajset-575	241	1	|	|	ADV
ajset-575	241	2	a	a	DET
ajset-575	241	3	c	c	NOUN
ajset-575	241	4	a	a	PRON
ajset-575	241	5	d	d	X
ajset-575	241	6	e	e	NOUN
ajset-575	241	7	m	m	NOUN
ajset-575	241	8	i	i	NOUN
ajset-575	241	9	c	c	NOUN
ajset-575	241	10	j	j	NOUN
ajset-575	241	11	o	o	X
ajset-575	241	12	u	u	NOUN
ajset-575	241	13	r	r	NOUN
ajset-575	241	14	n	n	NOUN
ajset-575	241	15	a	a	DET
ajset-575	241	16	l	l	NOUN
ajset-575	242	1	o	o	X
ajset-575	242	2	f	f	X
ajset-575	242	3	s	s	X
ajset-575	242	4	c	c	NOUN
ajset-575	243	1	i	i	NOUN
ajset-575	243	2	e	e	PROPN
ajset-575	243	3	n	n	PROPN
ajset-575	243	4	c	c	NOUN
ajset-575	243	5	e	e	X
ajset-575	243	6	,	,	PUNCT
ajset-575	243	7	e	e	PROPN
ajset-575	243	8	n	n	PRON
ajset-575	243	9	g	g	NOUN
ajset-575	243	10	i	i	PRON
ajset-575	243	11	n	n	VERB
ajset-575	243	12	e	e	NOUN
ajset-575	243	13	e	e	NOUN
ajset-575	243	14	r	r	VERB
ajset-575	243	15	i	i	PRON
ajset-575	243	16	n	n	CCONJ
ajset-575	243	17	g	g	PROPN
ajset-575	243	18	a	a	DET
ajset-575	243	19	n	n	NOUN
ajset-575	243	20	d	d	NOUN
ajset-575	243	21	t	t	NOUN
ajset-575	243	22	e	e	X
ajset-575	243	23	c	c	NOUN
ajset-575	243	24	h	h	NOUN
ajset-575	243	25	n	n	ADV
ajset-575	243	26	o	o	NOUN
ajset-575	243	27	l	l	NOUN
ajset-575	244	1	o	o	X
ajset-575	244	2	g	g	NOUN
ajset-575	244	3	y	y	PROPN
ajset-575	244	4	|	|	ADV
ajset-575	244	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	244	6	rotating	rotate	VERB
ajset-575	244	7	wave	wave	NOUN
ajset-575	244	8	as	as	ADP
ajset-575	244	9	a	a	DET
ajset-575	244	10	geodesic	geodesic	NOUN
ajset-575	244	11	on	on	ADP
ajset-575	244	12	a	a	DET
ajset-575	244	13	generated	generate	VERB
ajset-575	244	14	surface	surface	NOUN
ajset-575	244	15	and	and	CCONJ
ajset-575	244	16	then	then	ADV
ajset-575	244	17	second	second	ADV
ajset-575	244	18	deriving	derive	VERB
ajset-575	244	19	the	the	DET
ajset-575	244	20	intrinsic	intrinsic	ADJ
ajset-575	244	21	curvature	curvature	NOUN
ajset-575	244	22	of	of	ADP
ajset-575	244	23	that	that	DET
ajset-575	244	24	surface	surface	NOUN
ajset-575	244	25	.	.	PUNCT
ajset-575	245	1	consider	consider	VERB
ajset-575	245	2	the	the	DET
ajset-575	245	3	dashed	dash	VERB
ajset-575	245	4	helical	helical	ADJ
ajset-575	245	5	path	path	NOUN
ajset-575	245	6	of	of	ADP
ajset-575	245	7	the	the	DET
ajset-575	245	8	rotating	rotate	VERB
ajset-575	245	9	wave	wave	NOUN
ajset-575	245	10	as	as	SCONJ
ajset-575	245	11	illustrated	illustrate	VERB
ajset-575	245	12	in	in	ADP
ajset-575	245	13	the	the	DET
ajset-575	245	14	previous	previous	ADJ
ajset-575	245	15	figure	figure	NOUN
ajset-575	245	16	13	13	NUM
ajset-575	245	17	.	.	PUNCT
ajset-575	246	1	the	the	DET
ajset-575	246	2	helical	helical	ADJ
ajset-575	246	3	path	path	NOUN
ajset-575	246	4	can	can	AUX
ajset-575	246	5	be	be	AUX
ajset-575	246	6	defined	define	VERB
ajset-575	246	7	by	by	ADP
ajset-575	246	8	a	a	DET
ajset-575	246	9	time	time	NOUN
ajset-575	246	10	derivative	derivative	NOUN
ajset-575	246	11	of	of	ADP
ajset-575	246	12	the	the	DET
ajset-575	246	13	position	position	NOUN
ajset-575	246	14	vector	vector	NOUN
ajset-575	246	15	posc	posc	NOUN
ajset-575	246	16	=	=	PRON
ajset-575	246	17	posv	posv	VERB
ajset-575	246	18	post	post	NOUN
ajset-575	246	19	posv	posv	NOUN
ajset-575	246	20	is	be	AUX
ajset-575	246	21	the	the	DET
ajset-575	246	22	vector	vector	NOUN
ajset-575	246	23	in	in	ADP
ajset-575	246	24	the	the	DET
ajset-575	246	25	forward	forward	ADV
ajset-575	246	26	moving	move	VERB
ajset-575	246	27	translational	translational	ADJ
ajset-575	246	28	motion	motion	NOUN
ajset-575	246	29	of	of	ADP
ajset-575	246	30	the	the	DET
ajset-575	246	31	rotating	rotate	VERB
ajset-575	246	32	wave	wave	NOUN
ajset-575	246	33	and	and	CCONJ
ajset-575	246	34	same	same	ADJ
ajset-575	246	35	direction	direction	NOUN
ajset-575	246	36	of	of	ADP
ajset-575	246	37	rotational	rotational	ADJ
ajset-575	246	38	axis	axis	NOUN
ajset-575	246	39	.	.	PUNCT
ajset-575	247	1	post	post	NOUN
ajset-575	247	2	is	be	AUX
ajset-575	247	3	a	a	DET
ajset-575	247	4	rotor	rotor	NOUN
ajset-575	247	5	and	and	CCONJ
ajset-575	247	6	is	be	AUX
ajset-575	247	7	the	the	DET
ajset-575	247	8	vector	vector	NOUN
ajset-575	247	9	in	in	ADP
ajset-575	247	10	the	the	DET
ajset-575	247	11	purely	purely	ADV
ajset-575	247	12	rotational	rotational	ADJ
ajset-575	247	13	motion	motion	NOUN
ajset-575	247	14	.	.	PUNCT
ajset-575	248	1	if	if	SCONJ
ajset-575	248	2	the	the	DET
ajset-575	248	3	velocity	velocity	NOUN
ajset-575	248	4	vector	vector	NOUN
ajset-575	248	5	vt	vt	PROPN
ajset-575	248	6	is	be	AUX
ajset-575	248	7	greater	great	ADJ
ajset-575	248	8	than	than	ADP
ajset-575	248	9	zero	zero	NUM
ajset-575	248	10	(	(	PUNCT
ajset-575	248	11	or	or	CCONJ
ajset-575	248	12	less	less	ADJ
ajset-575	248	13	than	than	ADP
ajset-575	248	14	zero	zero	NUM
ajset-575	248	15	)	)	PUNCT
ajset-575	248	16	,	,	PUNCT
ajset-575	248	17	then	then	ADV
ajset-575	248	18	the	the	DET
ajset-575	248	19	velocity	velocity	NOUN
ajset-575	248	20	vector	vector	NOUN
ajset-575	248	21	c	c	NOUN
ajset-575	248	22	of	of	ADP
ajset-575	248	23	the	the	DET
ajset-575	248	24	rotating	rotate	VERB
ajset-575	248	25	wave	wave	NOUN
ajset-575	248	26	with	with	ADP
ajset-575	248	27	constant	constant	ADJ
ajset-575	248	28	speed	speed	NOUN
ajset-575	248	29	of	of	ADP
ajset-575	248	30	light	light	NOUN
ajset-575	248	31	will	will	AUX
ajset-575	248	32	spiral	spiral	VERB
ajset-575	248	33	outwards	outward	NOUN
ajset-575	248	34	(	(	PUNCT
ajset-575	248	35	or	or	CCONJ
ajset-575	248	36	inwards	inward	NOUN
ajset-575	248	37	):	):	PUNCT
ajset-575	248	38	figure	figure	NOUN
ajset-575	248	39	13	13	NUM
ajset-575	248	40	:	:	PUNCT
ajset-575	248	41	rotating	rotate	VERB
ajset-575	248	42	wave	wave	NOUN
ajset-575	248	43	of	of	ADP
ajset-575	248	44	the	the	DET
ajset-575	248	45	electron	electron	NOUN
ajset-575	248	46	(	(	PUNCT
ajset-575	248	47	fermion	fermion	NOUN
ajset-575	248	48	)	)	PUNCT
ajset-575	248	49	.	.	PUNCT
ajset-575	249	1	position	position	NOUN
ajset-575	249	2	vectors	vector	NOUN
ajset-575	249	3	posc	posc	NOUN
ajset-575	249	4	=	=	PRON
ajset-575	249	5	posv	posv	VERB
ajset-575	249	6	post	post	NOUN
ajset-575	249	7	,	,	PUNCT
ajset-575	249	8	where	where	SCONJ
ajset-575	249	9	post	post	NOUN
ajset-575	249	10	rotates	rotate	NOUN
ajset-575	249	11	.	.	PUNCT
ajset-575	250	1	velocity	velocity	NOUN
ajset-575	250	2	vectors	vector	NOUN
ajset-575	250	3	,	,	PUNCT
ajset-575	250	4	c	c	NOUN
ajset-575	250	5	=	=	PRON
ajset-575	251	1	vv	vv	ADP
ajset-575	251	2	vr	vr	PROPN
ajset-575	251	3	vt	vt	PROPN
ajset-575	251	4	.	.	PUNCT
ajset-575	252	1	dposc	dposc	PROPN
ajset-575	252	2	dposv	dposv	PROPN
ajset-575	252	3	dpost	dpost	VERB
ajset-575	252	4	det	det	PROPN
ajset-575	252	5	dpost	dpost	X
ajset-575	252	6	c	c	X
ajset-575	252	7	=	=	PUNCT
ajset-575	253	1	=	=	SYM
ajset-575	253	2	=	=	NOUN
ajset-575	254	1	vv	vv	PART
ajset-575	254	2	post	post	VERB
ajset-575	254	3	et	et	NOUN
ajset-575	254	4	dt	dt	NOUN
ajset-575	254	5	dt	dt	PUNCT
ajset-575	255	1	dt	dt	INTJ
ajset-575	255	2	dt	dt	X
ajset-575	255	3	dt	dt	X
ajset-575	255	4	vectorially	vectorially	ADV
ajset-575	255	5	:	:	PUNCT
ajset-575	255	6	c	c	X
ajset-575	255	7	=	=	PRON
ajset-575	255	8	vv	vv	ADP
ajset-575	255	9	vr	vr	PROPN
ajset-575	255	10	vt	vt	PROPN
ajset-575	255	11	note	note	PROPN
ajset-575	255	12	vectors	vector	NOUN
ajset-575	255	13	are	be	AUX
ajset-575	255	14	not	not	PART
ajset-575	255	15	embolded	embolde	VERB
ajset-575	255	16	,	,	PUNCT
ajset-575	255	17	but	but	CCONJ
ajset-575	255	18	implied	imply	VERB
ajset-575	255	19	with	with	ADP
ajset-575	255	20	base	base	NOUN
ajset-575	255	21	vectors	vector	NOUN
ajset-575	255	22	.	.	PUNCT
ajset-575	256	1	note	note	NOUN
ajset-575	256	2	:	:	PUNCT
ajset-575	257	1	c2	c2	PROPN
ajset-575	257	2	=	=	PUNCT
ajset-575	257	3	vv2	vv2	PROPN
ajset-575	257	4	vr2	vr2	PROPN
ajset-575	257	5	vt2	vt2	PROPN
ajset-575	257	6	and	and	CCONJ
ajset-575	257	7	thus	thus	ADV
ajset-575	257	8	dc	dc	PROPN
ajset-575	257	9	/	/	SYM
ajset-575	257	10	dt	dt	PROPN
ajset-575	257	11	=	=	SYM
ajset-575	257	12	0	0	PUNCT
ajset-575	258	1	=	=	SYM
ajset-575	258	2	vv	vv	ADP
ajset-575	258	3	av	av	PROPN
ajset-575	258	4	vr	vr	PROPN
ajset-575	258	5	ar	ar	PROPN
ajset-575	258	6	vt	vt	PROPN
ajset-575	258	7	at	at	ADP
ajset-575	258	8	.	.	PUNCT
ajset-575	259	1	also	also	ADV
ajset-575	259	2	the	the	DET
ajset-575	259	3	base	base	NOUN
ajset-575	259	4	vectors	vector	NOUN
ajset-575	259	5	for	for	ADP
ajset-575	259	6	the	the	DET
ajset-575	259	7	riemannian	riemannian	ADJ
ajset-575	259	8	space	space	NOUN
ajset-575	259	9	time	time	NOUN
ajset-575	259	10	located	locate	VERB
ajset-575	259	11	along	along	ADP
ajset-575	259	12	the	the	DET
ajset-575	259	13	light	light	ADJ
ajset-575	259	14	line	line	NOUN
ajset-575	259	15	are	be	AUX
ajset-575	259	16	defined	define	VERB
ajset-575	259	17	by	by	ADP
ajset-575	259	18	the	the	DET
ajset-575	259	19	partial	partial	ADJ
ajset-575	259	20	derivative	derivative	NOUN
ajset-575	259	21	of	of	ADP
ajset-575	259	22	the	the	DET
ajset-575	259	23	position	position	NOUN
ajset-575	259	24	vector	vector	NOUN
ajset-575	259	25	:	:	PUNCT
ajset-575	260	1	e	e	X
ajset-575	260	2	=	=	PUNCT
ajset-575	260	3	pos	pos	NOUN
ajset-575	260	4	c/	c/	NOUN
ajset-575	260	5	x	x	NOUN
ajset-575	261	1	=	=	PUNCT
ajset-575	261	2	pos	pos	NOUN
ajset-575	261	3	v/	v/	NOUN
ajset-575	261	4	x	x	PUNCT
ajset-575	261	5	post	post	VERB
ajset-575	261	6	/	/	SYM
ajset-575	261	7	x	x	PUNCT
ajset-575	261	8	=	=	PUNCT
ajset-575	261	9	pos	pos	NOUN
ajset-575	261	10	c	c	NOUN
ajset-575	261	11	,	,	PUNCT
ajset-575	261	12	=	=	PUNCT
ajset-575	261	13	pos	pos	NOUN
ajset-575	261	14	v	v	NOUN
ajset-575	261	15	,	,	PUNCT
ajset-575	261	16	post	post	NOUN
ajset-575	261	17	,	,	PUNCT
ajset-575	261	18	thus	thus	ADV
ajset-575	261	19	ecc	ecc	X
ajset-575	261	20	=	=	SYM
ajset-575	261	21	e	e	NOUN
ajset-575	261	22	u	u	NOUN
ajset-575	261	23	=	=	PUNCT
ajset-575	261	24	(	(	PUNCT
ajset-575	261	25	posv	posv	PROPN
ajset-575	261	26	,	,	PUNCT
ajset-575	261	27	)	)	PUNCT
ajset-575	261	28	u	u	NOUN
ajset-575	261	29	(	(	PUNCT
ajset-575	261	30	post	post	NOUN
ajset-575	261	31	,	,	PUNCT
ajset-575	261	32	)	)	PUNCT
ajset-575	261	33	u	u	NOUN
ajset-575	261	34	=	=	NOUN
ajset-575	261	35	dposv	dposv	PROPN
ajset-575	261	36	/	/	SYM
ajset-575	261	37	dt	dt	PUNCT
ajset-575	261	38	dpost	dpost	ADJ
ajset-575	261	39	/dt	/dt	PUNCT
ajset-575	261	40	.	.	PUNCT
ajset-575	262	1	thus	thus	ADV
ajset-575	262	2	the	the	DET
ajset-575	262	3	path	path	NOUN
ajset-575	262	4	of	of	ADP
ajset-575	262	5	the	the	DET
ajset-575	262	6	rotating	rotate	VERB
ajset-575	262	7	wave	wave	NOUN
ajset-575	262	8	with	with	ADP
ajset-575	262	9	constant	constant	ADJ
ajset-575	262	10	speed	speed	NOUN
ajset-575	262	11	of	of	ADP
ajset-575	262	12	light	light	NOUN
ajset-575	262	13	is	be	AUX
ajset-575	262	14	defined	define	VERB
ajset-575	262	15	by	by	ADP
ajset-575	262	16	five	five	NUM
ajset-575	262	17	vectors	vector	NOUN
ajset-575	262	18	in	in	ADP
ajset-575	262	19	our	our	PRON
ajset-575	262	20	familiar	familiar	ADJ
ajset-575	262	21	three	three	NUM
ajset-575	262	22	dimensions	dimension	NOUN
ajset-575	262	23	of	of	ADP
ajset-575	262	24	space	space	NOUN
ajset-575	262	25	by	by	ADP
ajset-575	262	26	:	:	PUNCT
ajset-575	262	27	c	c	X
ajset-575	262	28	=	=	PRON
ajset-575	263	1	vv	vv	ADP
ajset-575	263	2	vr	vr	PROPN
ajset-575	263	3	vt	vt	PROPN
ajset-575	263	4	of	of	ADP
ajset-575	263	5	which	which	PRON
ajset-575	263	6	vv	vv	NOUN
ajset-575	263	7	=	=	SYM
ajset-575	263	8	vx	vx	PROPN
ajset-575	263	9	vy	vy	PROPN
ajset-575	263	10	vz	vz	PROPN
ajset-575	263	11	.	.	PUNCT
ajset-575	264	1	the	the	DET
ajset-575	264	2	spiral	spiral	ADJ
ajset-575	264	3	helical	helical	ADJ
ajset-575	264	4	path	path	NOUN
ajset-575	264	5	also	also	ADV
ajset-575	264	6	lies	lie	VERB
ajset-575	264	7	within	within	ADP
ajset-575	264	8	a	a	DET
ajset-575	264	9	generated	generate	VERB
ajset-575	264	10	surface	surface	NOUN
ajset-575	264	11	that	that	PRON
ajset-575	264	12	can	can	AUX
ajset-575	264	13	be	be	AUX
ajset-575	264	14	described	describe	VERB
ajset-575	264	15	in	in	ADP
ajset-575	264	16	riemannian	riemannian	ADJ
ajset-575	264	17	five	five	NUM
ajset-575	264	18	dimensional	dimensional	ADJ
ajset-575	264	19	space	space	NOUN
ajset-575	264	20	-	-	PUNCT
ajset-575	264	21	time	time	NOUN
ajset-575	264	22	with	with	ADP
ajset-575	264	23	c	c	NOUN
ajset-575	264	24	=	=	SYM
ajset-575	264	25	e	e	NOUN
ajset-575	264	26	u	u	NOUN
ajset-575	264	27	=	=	NOUN
ajset-575	264	28	evu	evu	NOUN
ajset-575	264	29	v	v	X
ajset-575	264	30	eru	eru	PROPN
ajset-575	264	31	r	r	PROPN
ajset-575	264	32	etu	etu	PROPN
ajset-575	264	33	t	t	PROPN
ajset-575	264	34	(	(	PUNCT
ajset-575	264	35	17	17	NUM
ajset-575	264	36	)	)	PUNCT
ajset-575	264	37	of	of	ADP
ajset-575	264	38	which	which	PRON
ajset-575	264	39	again	again	ADV
ajset-575	264	40	evu	evu	NOUN
ajset-575	264	41	v	v	NOUN
ajset-575	264	42	=	=	SYM
ajset-575	264	43	exu	exu	NOUN
ajset-575	264	44	x	x	PUNCT
ajset-575	264	45	eyu	eyu	PROPN
ajset-575	264	46	y	y	PROPN
ajset-575	264	47	ezu	ezu	PROPN
ajset-575	264	48	z	z	PROPN
ajset-575	264	49	(	(	PUNCT
ajset-575	264	50	with	with	ADP
ajset-575	264	51	implied	imply	VERB
ajset-575	264	52	einstein	einstein	ADJ
ajset-575	264	53	summation	summation	NOUN
ajset-575	264	54	on	on	ADP
ajset-575	264	55	)	)	PUNCT
ajset-575	264	56	.	.	PUNCT
ajset-575	265	1	(	(	PUNCT
ajset-575	265	2	1	1	NUM
ajset-575	265	3	(	(	PUNCT
ajset-575	265	4	1	1	NUM
ajset-575	265	5	(	(	PUNCT
ajset-575	265	6	1	1	NUM
ajset-575	265	7	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	265	8	academic	academic	ADJ
ajset-575	265	9	journal	journal	NOUN
ajset-575	265	10	of	of	ADP
ajset-575	265	11	science	science	NOUN
ajset-575	265	12	,	,	PUNCT
ajset-575	265	13	engineering	engineering	NOUN
ajset-575	265	14	and	and	CCONJ
ajset-575	265	15	technology	technology	NOUN
ajset-575	265	16	vol.6	vol.6	PROPN
ajset-575	265	17	,	,	PUNCT
ajset-575	265	18	issue	issue	NOUN
ajset-575	265	19	1	1	NUM
ajset-575	265	20	;	;	PUNCT
ajset-575	265	21	january	january	PROPN
ajset-575	265	22	febuary	febuary	PROPN
ajset-575	265	23	2021	2021	NUM
ajset-575	265	24	;	;	PUNCT
ajset-575	265	25	1252	1252	NUM
ajset-575	265	26	columbia	columbia	PROPN
ajset-575	265	27	rd	rd	PROPN
ajset-575	265	28	nw	nw	PROPN
ajset-575	265	29	,	,	PUNCT
ajset-575	265	30	washington	washington	PROPN
ajset-575	265	31	dc	dc	PROPN
ajset-575	265	32	,	,	PUNCT
ajset-575	265	33	united	united	PROPN
ajset-575	265	34	states	states	PROPN
ajset-575	265	35	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	265	36	;	;	PUNCT
ajset-575	265	37	mail	mail	NOUN
ajset-575	265	38	:	:	PUNCT
ajset-575	265	39	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	266	1	62	62	NUM
ajset-575	267	1	|	|	ADV
ajset-575	267	2	a	a	DET
ajset-575	267	3	c	c	NOUN
ajset-575	267	4	a	a	PRON
ajset-575	267	5	d	d	X
ajset-575	267	6	e	e	NOUN
ajset-575	267	7	m	m	NOUN
ajset-575	267	8	i	i	NOUN
ajset-575	267	9	c	c	NOUN
ajset-575	267	10	j	j	NOUN
ajset-575	267	11	o	o	X
ajset-575	267	12	u	u	NOUN
ajset-575	267	13	r	r	NOUN
ajset-575	267	14	n	n	NOUN
ajset-575	267	15	a	a	DET
ajset-575	267	16	l	l	NOUN
ajset-575	268	1	o	o	X
ajset-575	268	2	f	f	X
ajset-575	268	3	s	s	X
ajset-575	268	4	c	c	NOUN
ajset-575	269	1	i	i	NOUN
ajset-575	269	2	e	e	PROPN
ajset-575	269	3	n	n	PROPN
ajset-575	269	4	c	c	NOUN
ajset-575	269	5	e	e	X
ajset-575	269	6	,	,	PUNCT
ajset-575	269	7	e	e	PROPN
ajset-575	269	8	n	n	PRON
ajset-575	269	9	g	g	NOUN
ajset-575	269	10	i	i	PRON
ajset-575	269	11	n	n	VERB
ajset-575	269	12	e	e	NOUN
ajset-575	269	13	e	e	NOUN
ajset-575	269	14	r	r	VERB
ajset-575	269	15	i	i	PRON
ajset-575	269	16	n	n	CCONJ
ajset-575	269	17	g	g	PROPN
ajset-575	269	18	a	a	DET
ajset-575	269	19	n	n	NOUN
ajset-575	269	20	d	d	NOUN
ajset-575	269	21	t	t	NOUN
ajset-575	269	22	e	e	X
ajset-575	269	23	c	c	NOUN
ajset-575	269	24	h	h	NOUN
ajset-575	269	25	n	n	ADV
ajset-575	269	26	o	o	NOUN
ajset-575	269	27	l	l	NOUN
ajset-575	270	1	o	o	X
ajset-575	270	2	g	g	NOUN
ajset-575	270	3	y	y	PROPN
ajset-575	270	4	|	|	ADV
ajset-575	270	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	270	6	the	the	DET
ajset-575	270	7	“	"	PUNCT
ajset-575	270	8	light	light	ADJ
ajset-575	270	9	–	–	PUNCT
ajset-575	270	10	line	line	NOUN
ajset-575	270	11	”	"	PUNCT
ajset-575	270	12	of	of	ADP
ajset-575	270	13	the	the	DET
ajset-575	270	14	rotating	rotate	VERB
ajset-575	270	15	wave	wave	NOUN
ajset-575	270	16	is	be	AUX
ajset-575	270	17	defined	define	VERB
ajset-575	270	18	as	as	ADP
ajset-575	270	19	the	the	DET
ajset-575	270	20	geodesic	geodesic	NOUN
ajset-575	270	21	where	where	SCONJ
ajset-575	270	22	c	c	NOUN
ajset-575	270	23	=	=	PRON
ajset-575	271	1	vv	vv	ADP
ajset-575	271	2	vr	vr	PROPN
ajset-575	271	3	vt	vt	PROPN
ajset-575	271	4	and	and	CCONJ
ajset-575	271	5	the	the	DET
ajset-575	271	6	magnitude	magnitude	NOUN
ajset-575	271	7	c	c	NOUN
ajset-575	271	8	(	(	PUNCT
ajset-575	271	9	of	of	ADP
ajset-575	271	10	c	c	NOUN
ajset-575	271	11	=	=	SYM
ajset-575	271	12	ecc	ecc	PROPN
ajset-575	271	13	)	)	PUNCT
ajset-575	271	14	is	be	AUX
ajset-575	271	15	kept	keep	VERB
ajset-575	271	16	constant	constant	ADJ
ajset-575	271	17	at	at	ADP
ajset-575	271	18	the	the	DET
ajset-575	271	19	speed	speed	NOUN
ajset-575	271	20	of	of	ADP
ajset-575	271	21	light	light	NOUN
ajset-575	271	22	.	.	PUNCT
ajset-575	272	1	so	so	ADV
ajset-575	272	2	,	,	PUNCT
ajset-575	272	3	vv	vv	INTJ
ajset-575	272	4	,	,	PUNCT
ajset-575	272	5	vr	vr	NOUN
ajset-575	272	6	,	,	PUNCT
ajset-575	272	7	and	and	CCONJ
ajset-575	272	8	vt	vt	PROPN
ajset-575	272	9	vary	vary	VERB
ajset-575	272	10	while	while	SCONJ
ajset-575	272	11	c	c	PROPN
ajset-575	272	12	(	(	PUNCT
ajset-575	272	13	of	of	ADP
ajset-575	272	14	c	c	NOUN
ajset-575	272	15	=	=	SYM
ajset-575	272	16	ecc	ecc	PROPN
ajset-575	272	17	)	)	PUNCT
ajset-575	272	18	is	be	AUX
ajset-575	272	19	kept	keep	VERB
ajset-575	272	20	constant	constant	ADJ
ajset-575	272	21	.	.	PUNCT
ajset-575	273	1	vv	vv	PRON
ajset-575	273	2	is	be	AUX
ajset-575	273	3	the	the	DET
ajset-575	273	4	forward	forward	ADJ
ajset-575	273	5	(	(	PUNCT
ajset-575	273	6	translational	translational	ADJ
ajset-575	273	7	)	)	PUNCT
ajset-575	273	8	motion	motion	NOUN
ajset-575	273	9	of	of	ADP
ajset-575	273	10	the	the	DET
ajset-575	273	11	rotating	rotate	VERB
ajset-575	273	12	wave	wave	NOUN
ajset-575	273	13	along	along	ADP
ajset-575	273	14	the	the	DET
ajset-575	273	15	direction	direction	NOUN
ajset-575	273	16	of	of	ADP
ajset-575	273	17	the	the	DET
ajset-575	273	18	axis	axis	NOUN
ajset-575	273	19	of	of	ADP
ajset-575	273	20	rotation	rotation	NOUN
ajset-575	273	21	.	.	PUNCT
ajset-575	274	1	vr	vr	PROPN
ajset-575	274	2	is	be	AUX
ajset-575	274	3	the	the	DET
ajset-575	274	4	purely	purely	ADV
ajset-575	274	5	rotational	rotational	ADJ
ajset-575	274	6	motion	motion	NOUN
ajset-575	274	7	of	of	ADP
ajset-575	274	8	the	the	DET
ajset-575	274	9	rotating	rotate	VERB
ajset-575	274	10	wave	wave	NOUN
ajset-575	274	11	.	.	PUNCT
ajset-575	275	1	vt	vt	PROPN
ajset-575	275	2	is	be	AUX
ajset-575	275	3	the	the	DET
ajset-575	275	4	velocity	velocity	NOUN
ajset-575	275	5	of	of	ADP
ajset-575	275	6	outward	outward	ADJ
ajset-575	275	7	radial	radial	ADJ
ajset-575	275	8	expansion	expansion	NOUN
ajset-575	275	9	of	of	ADP
ajset-575	275	10	the	the	DET
ajset-575	275	11	light	light	ADJ
ajset-575	275	12	–	–	PUNCT
ajset-575	275	13	line	line	NOUN
ajset-575	275	14	such	such	ADJ
ajset-575	275	15	that	that	SCONJ
ajset-575	275	16	the	the	DET
ajset-575	275	17	light	light	ADJ
ajset-575	275	18	–	–	PUNCT
ajset-575	275	19	line	line	NOUN
ajset-575	275	20	traces	trace	VERB
ajset-575	275	21	a	a	DET
ajset-575	275	22	spiral	spiral	ADJ
ajset-575	275	23	helical	helical	ADJ
ajset-575	275	24	path	path	NOUN
ajset-575	275	25	.	.	PUNCT
ajset-575	276	1	to	to	PART
ajset-575	276	2	be	be	AUX
ajset-575	276	3	clear	clear	ADJ
ajset-575	276	4	,	,	PUNCT
ajset-575	276	5	at	at	ADP
ajset-575	276	6	any	any	DET
ajset-575	276	7	point	point	NOUN
ajset-575	276	8	on	on	ADP
ajset-575	276	9	the	the	DET
ajset-575	276	10	light	light	ADJ
ajset-575	276	11	–	–	PUNCT
ajset-575	276	12	line	line	NOUN
ajset-575	276	13	:	:	PUNCT
ajset-575	276	14	c	c	X
ajset-575	276	15	=	=	SYM
ajset-575	276	16	e	e	X
ajset-575	276	17	cc	cc	NOUN
ajset-575	276	18	=	=	SYM
ajset-575	276	19	e	e	NOUN
ajset-575	276	20	u	u	NOUN
ajset-575	276	21	=	=	NOUN
ajset-575	276	22	v	v	NOUN
ajset-575	276	23	v	v	NOUN
ajset-575	276	24	v	v	NOUN
ajset-575	276	25	r	r	NOUN
ajset-575	276	26	v	v	ADP
ajset-575	276	27	t	t	NOUN
ajset-575	276	28	and	and	CCONJ
ajset-575	276	29	the	the	DET
ajset-575	276	30	base	base	NOUN
ajset-575	276	31	vector	vector	NOUN
ajset-575	276	32	e	e	X
ajset-575	276	33	c	c	PROPN
ajset-575	276	34	varies	vary	VERB
ajset-575	276	35	while	while	SCONJ
ajset-575	276	36	the	the	DET
ajset-575	276	37	magnitude	magnitude	NOUN
ajset-575	276	38	c	c	NOUN
ajset-575	276	39	is	be	AUX
ajset-575	276	40	kept	keep	VERB
ajset-575	276	41	constant	constant	ADJ
ajset-575	276	42	.	.	PUNCT
ajset-575	277	1	also	also	ADV
ajset-575	277	2	,	,	PUNCT
ajset-575	277	3	note	note	VERB
ajset-575	277	4	the	the	DET
ajset-575	277	5	spiral	spiral	ADJ
ajset-575	277	6	helical	helical	ADJ
ajset-575	277	7	surface	surface	NOUN
ajset-575	277	8	extends	extend	VERB
ajset-575	277	9	radially	radially	ADV
ajset-575	277	10	from	from	ADP
ajset-575	277	11	the	the	DET
ajset-575	277	12	centre	centre	NOUN
ajset-575	277	13	of	of	ADP
ajset-575	277	14	axis	axis	NOUN
ajset-575	277	15	of	of	ADP
ajset-575	277	16	spin	spin	NOUN
ajset-575	277	17	and	and	CCONJ
ajset-575	277	18	is	be	AUX
ajset-575	277	19	normal	normal	ADJ
ajset-575	277	20	to	to	ADP
ajset-575	277	21	the	the	DET
ajset-575	277	22	wave	wave	NOUN
ajset-575	277	23	front	front	NOUN
ajset-575	277	24	.	.	PUNCT
ajset-575	278	1	note	note	VERB
ajset-575	278	2	that	that	SCONJ
ajset-575	278	3	in	in	ADP
ajset-575	278	4	the	the	DET
ajset-575	278	5	spiral	spiral	ADJ
ajset-575	278	6	condition	condition	NOUN
ajset-575	278	7	:	:	PUNCT
ajset-575	279	1	c	c	X
ajset-575	279	2	=	=	PRON
ajset-575	279	3	vv	vv	ADP
ajset-575	279	4	vr	vr	PROPN
ajset-575	279	5	vt	vt	PROPN
ajset-575	279	6	whereas	whereas	SCONJ
ajset-575	279	7	before	before	ADP
ajset-575	279	8	the	the	DET
ajset-575	279	9	simple	simple	ADJ
ajset-575	279	10	helical	helical	ADJ
ajset-575	279	11	(	(	PUNCT
ajset-575	279	12	cylindrical	cylindrical	ADJ
ajset-575	279	13	)	)	PUNCT
ajset-575	279	14	form	form	NOUN
ajset-575	279	15	of	of	ADP
ajset-575	279	16	the	the	DET
ajset-575	279	17	rotating	rotate	VERB
ajset-575	279	18	wave	wave	NOUN
ajset-575	279	19	in	in	ADP
ajset-575	279	20	accordance	accordance	NOUN
ajset-575	279	21	with	with	ADP
ajset-575	279	22	the	the	DET
ajset-575	279	23	special	special	ADJ
ajset-575	279	24	theory	theory	NOUN
ajset-575	279	25	of	of	ADP
ajset-575	279	26	relativity	relativity	NOUN
ajset-575	279	27	,	,	PUNCT
ajset-575	279	28	vt	vt	PROPN
ajset-575	279	29	=	=	SYM
ajset-575	279	30	0	0	PROPN
ajset-575	279	31	and	and	CCONJ
ajset-575	279	32	thus	thus	ADV
ajset-575	279	33	c	c	X
ajset-575	280	1	=	=	PRON
ajset-575	280	2	vv	vv	ADP
ajset-575	280	3	vr	vr	NOUN
ajset-575	280	4	as	as	SCONJ
ajset-575	280	5	illustrated	illustrate	VERB
ajset-575	280	6	in	in	ADP
ajset-575	280	7	figures	figure	NOUN
ajset-575	280	8	5	5	NUM
ajset-575	280	9	and	and	CCONJ
ajset-575	280	10	6	6	NUM
ajset-575	280	11	.	.	PUNCT
ajset-575	280	12	note	note	VERB
ajset-575	280	13	v	v	NOUN
ajset-575	280	14	=	=	PUNCT
ajset-575	280	15	vv	vv	NOUN
ajset-575	280	16	and	and	CCONJ
ajset-575	280	17	the	the	DET
ajset-575	280	18	subscript	subscript	NOUN
ajset-575	280	19	is	be	AUX
ajset-575	280	20	added	add	VERB
ajset-575	280	21	to	to	PART
ajset-575	280	22	clarify	clarify	VERB
ajset-575	280	23	the	the	DET
ajset-575	280	24	forward	forward	ADJ
ajset-575	280	25	velocity	velocity	NOUN
ajset-575	280	26	.	.	PUNCT
ajset-575	281	1	clearly	clearly	ADV
ajset-575	281	2	,	,	PUNCT
ajset-575	281	3	vt	vt	PROPN
ajset-575	281	4	has	have	AUX
ajset-575	281	5	been	be	AUX
ajset-575	281	6	added	add	VERB
ajset-575	281	7	to	to	ADP
ajset-575	281	8	the	the	DET
ajset-575	281	9	rotating	rotate	VERB
ajset-575	281	10	wave	wave	NOUN
ajset-575	281	11	model	model	NOUN
ajset-575	281	12	to	to	PART
ajset-575	281	13	allow	allow	VERB
ajset-575	281	14	for	for	ADP
ajset-575	281	15	the	the	DET
ajset-575	281	16	added	add	VERB
ajset-575	281	17	spiral	spiral	ADJ
ajset-575	281	18	form	form	NOUN
ajset-575	281	19	(	(	PUNCT
ajset-575	281	20	or	or	CCONJ
ajset-575	281	21	condition	condition	NOUN
ajset-575	281	22	)	)	PUNCT
ajset-575	281	23	in	in	ADP
ajset-575	281	24	accordance	accordance	NOUN
ajset-575	281	25	with	with	ADP
ajset-575	281	26	the	the	DET
ajset-575	281	27	general	general	ADJ
ajset-575	281	28	theory	theory	NOUN
ajset-575	281	29	of	of	ADP
ajset-575	281	30	relativity	relativity	NOUN
ajset-575	281	31	.	.	PUNCT
ajset-575	282	1	we	we	PRON
ajset-575	282	2	now	now	ADV
ajset-575	282	3	have	have	VERB
ajset-575	282	4	the	the	DET
ajset-575	282	5	spiral	spiral	ADJ
ajset-575	282	6	plus	plus	CCONJ
ajset-575	282	7	helical	helical	ADJ
ajset-575	282	8	conditions	condition	NOUN
ajset-575	282	9	in	in	ADP
ajset-575	282	10	which	which	PRON
ajset-575	282	11	all	all	DET
ajset-575	282	12	possible	possible	ADJ
ajset-575	282	13	directions	direction	NOUN
ajset-575	282	14	of	of	ADP
ajset-575	282	15	motion	motion	NOUN
ajset-575	282	16	are	be	AUX
ajset-575	282	17	allowed	allow	VERB
ajset-575	282	18	for	for	ADP
ajset-575	282	19	the	the	DET
ajset-575	282	20	rotating	rotate	VERB
ajset-575	282	21	wave	wave	NOUN
ajset-575	282	22	.	.	PUNCT
ajset-575	283	1	it	it	PRON
ajset-575	283	2	is	be	AUX
ajset-575	283	3	allowed	allow	VERB
ajset-575	283	4	to	to	PART
ajset-575	283	5	rotate	rotate	VERB
ajset-575	283	6	,	,	PUNCT
ajset-575	283	7	move	move	VERB
ajset-575	283	8	forward	forward	ADV
ajset-575	283	9	,	,	PUNCT
ajset-575	283	10	and	and	CCONJ
ajset-575	283	11	now	now	ADV
ajset-575	283	12	also	also	ADV
ajset-575	283	13	move	move	VERB
ajset-575	283	14	outward	outward	ADV
ajset-575	283	15	(	(	PUNCT
ajset-575	283	16	or	or	CCONJ
ajset-575	283	17	expand	expand	VERB
ajset-575	283	18	)	)	PUNCT
ajset-575	283	19	.	.	PUNCT
ajset-575	284	1	it	it	PRON
ajset-575	284	2	will	will	AUX
ajset-575	284	3	be	be	AUX
ajset-575	284	4	seen	see	VERB
ajset-575	284	5	and	and	CCONJ
ajset-575	284	6	further	far	ADV
ajset-575	284	7	expounded	expound	VERB
ajset-575	284	8	in	in	ADP
ajset-575	284	9	the	the	DET
ajset-575	284	10	r	r	NOUN
ajset-575	284	11	k	k	NOUN
ajset-575	284	12	derivations	derivation	NOUN
ajset-575	284	13	that	that	PRON
ajset-575	284	14	the	the	DET
ajset-575	284	15	rotational	rotational	ADJ
ajset-575	284	16	velocity	velocity	NOUN
ajset-575	284	17	vr	vr	NOUN
ajset-575	284	18	is	be	AUX
ajset-575	284	19	of	of	ADP
ajset-575	284	20	course	course	NOUN
ajset-575	284	21	greater	great	ADJ
ajset-575	284	22	at	at	ADP
ajset-575	284	23	greater	great	ADJ
ajset-575	284	24	radii	radius	NOUN
ajset-575	284	25	.	.	PUNCT
ajset-575	285	1	likewise	likewise	ADV
ajset-575	285	2	,	,	PUNCT
ajset-575	285	3	the	the	DET
ajset-575	285	4	u	u	NOUN
ajset-575	285	5	components	component	NOUN
ajset-575	285	6	will	will	AUX
ajset-575	285	7	be	be	AUX
ajset-575	285	8	greater	great	ADJ
ajset-575	285	9	at	at	ADP
ajset-575	285	10	greater	great	ADJ
ajset-575	285	11	radii	radius	NOUN
ajset-575	285	12	.	.	PUNCT
ajset-575	286	1	note	note	NOUN
ajset-575	286	2	also	also	ADV
ajset-575	286	3	that	that	SCONJ
ajset-575	286	4	the	the	DET
ajset-575	286	5	generated	generate	VERB
ajset-575	286	6	spiral	spiral	ADJ
ajset-575	286	7	helical	helical	ADJ
ajset-575	286	8	surface	surface	NOUN
ajset-575	286	9	can	can	AUX
ajset-575	286	10	equally	equally	ADV
ajset-575	286	11	be	be	AUX
ajset-575	286	12	defined	define	VERB
ajset-575	286	13	at	at	ADP
ajset-575	286	14	any	any	DET
ajset-575	286	15	angle	angle	NOUN
ajset-575	286	16	about	about	ADP
ajset-575	286	17	the	the	DET
ajset-575	286	18	rotating	rotate	VERB
ajset-575	286	19	wave	wave	NOUN
ajset-575	286	20	’s	’s	PART
ajset-575	286	21	axis	axis	NOUN
ajset-575	286	22	of	of	ADP
ajset-575	286	23	spin	spin	NOUN
ajset-575	286	24	,	,	PUNCT
ajset-575	286	25	just	just	ADV
ajset-575	286	26	as	as	SCONJ
ajset-575	286	27	the	the	DET
ajset-575	286	28	planar	planar	ADJ
ajset-575	286	29	wave	wave	NOUN
ajset-575	286	30	fronts	front	NOUN
ajset-575	286	31	are	be	AUX
ajset-575	286	32	rotated	rotate	VERB
ajset-575	286	33	and	and	CCONJ
ajset-575	286	34	arrayed	array	VERB
ajset-575	286	35	around	around	ADP
ajset-575	286	36	the	the	DET
ajset-575	286	37	axis	axis	NOUN
ajset-575	286	38	of	of	ADP
ajset-575	286	39	rotation	rotation	NOUN
ajset-575	286	40	in	in	ADP
ajset-575	286	41	figure	figure	NOUN
ajset-575	286	42	9	9	NUM
ajset-575	286	43	.	.	PUNCT
ajset-575	287	1	likewise	likewise	ADV
ajset-575	287	2	,	,	PUNCT
ajset-575	287	3	the	the	DET
ajset-575	287	4	“	"	PUNCT
ajset-575	287	5	light	light	ADJ
ajset-575	287	6	–	–	PUNCT
ajset-575	287	7	line	line	NOUN
ajset-575	287	8	”	"	PUNCT
ajset-575	287	9	as	as	SCONJ
ajset-575	287	10	defined	define	VERB
ajset-575	287	11	above	above	ADV
ajset-575	287	12	can	can	AUX
ajset-575	287	13	be	be	AUX
ajset-575	287	14	rotated	rotate	VERB
ajset-575	287	15	and	and	CCONJ
ajset-575	287	16	arrayed	array	VERB
ajset-575	287	17	infinitely	infinitely	ADV
ajset-575	287	18	around	around	ADP
ajset-575	287	19	the	the	DET
ajset-575	287	20	axis	axis	NOUN
ajset-575	287	21	of	of	ADP
ajset-575	287	22	rotation	rotation	NOUN
ajset-575	287	23	.	.	PUNCT
ajset-575	288	1	with	with	ADP
ajset-575	288	2	no	no	DET
ajset-575	288	3	expansion	expansion	NOUN
ajset-575	288	4	and	and	CCONJ
ajset-575	288	5	magnitude	magnitude	NOUN
ajset-575	288	6	vt	vt	PROPN
ajset-575	288	7	=	=	PROPN
ajset-575	288	8	0	0	PROPN
ajset-575	289	1	(	(	PUNCT
ajset-575	289	2	of	of	ADP
ajset-575	289	3	vt	vt	NOUN
ajset-575	289	4	=	=	SYM
ajset-575	289	5	etvt	etvt	PROPN
ajset-575	289	6	)	)	PUNCT
ajset-575	289	7	,	,	PUNCT
ajset-575	289	8	this	this	DET
ajset-575	289	9	array	array	NOUN
ajset-575	289	10	would	would	AUX
ajset-575	289	11	take	take	VERB
ajset-575	289	12	the	the	DET
ajset-575	289	13	shape	shape	NOUN
ajset-575	289	14	of	of	ADP
ajset-575	289	15	a	a	DET
ajset-575	289	16	cylinder	cylinder	NOUN
ajset-575	289	17	which	which	PRON
ajset-575	289	18	has	have	VERB
ajset-575	289	19	no	no	DET
ajset-575	289	20	intrinsic	intrinsic	ADJ
ajset-575	289	21	curvature	curvature	NOUN
ajset-575	289	22	.	.	PUNCT
ajset-575	290	1	even	even	ADV
ajset-575	290	2	with	with	ADP
ajset-575	290	3	a	a	DET
ajset-575	290	4	constant	constant	ADJ
ajset-575	290	5	expansion	expansion	NOUN
ajset-575	290	6	speed	speed	NOUN
ajset-575	290	7	vt	vt	NOUN
ajset-575	290	8	and	and	CCONJ
ajset-575	290	9	constant	constant	ADJ
ajset-575	290	10	forward	forward	ADJ
ajset-575	290	11	motion	motion	NOUN
ajset-575	290	12	vv	vv	ADP
ajset-575	290	13	this	this	DET
ajset-575	290	14	array	array	NOUN
ajset-575	290	15	would	would	AUX
ajset-575	290	16	form	form	VERB
ajset-575	290	17	the	the	DET
ajset-575	290	18	shape	shape	NOUN
ajset-575	290	19	of	of	ADP
ajset-575	290	20	a	a	DET
ajset-575	290	21	cone	cone	NOUN
ajset-575	290	22	that	that	PRON
ajset-575	290	23	also	also	ADV
ajset-575	290	24	has	have	VERB
ajset-575	290	25	no	no	DET
ajset-575	290	26	intrinsic	intrinsic	ADJ
ajset-575	290	27	curvature	curvature	NOUN
ajset-575	290	28	.	.	PUNCT
ajset-575	291	1	(	(	PUNCT
ajset-575	291	2	a	a	DET
ajset-575	291	3	cone	cone	NOUN
ajset-575	291	4	can	can	AUX
ajset-575	291	5	be	be	AUX
ajset-575	291	6	cut	cut	VERB
ajset-575	291	7	down	down	ADP
ajset-575	291	8	its	its	PRON
ajset-575	291	9	length	length	NOUN
ajset-575	291	10	to	to	ADP
ajset-575	291	11	its	its	PRON
ajset-575	291	12	point	point	NOUN
ajset-575	291	13	and	and	CCONJ
ajset-575	291	14	laid	lay	VERB
ajset-575	291	15	out	out	ADP
ajset-575	291	16	flat	flat	ADJ
ajset-575	291	17	just	just	ADV
ajset-575	291	18	as	as	SCONJ
ajset-575	291	19	a	a	DET
ajset-575	291	20	cylinder	cylinder	NOUN
ajset-575	291	21	can	can	AUX
ajset-575	291	22	.	.	PUNCT
ajset-575	291	23	)	)	PUNCT
ajset-575	292	1	if	if	SCONJ
ajset-575	292	2	the	the	DET
ajset-575	292	3	expansion	expansion	NOUN
ajset-575	292	4	speed	speed	NOUN
ajset-575	292	5	vt	vt	NOUN
ajset-575	292	6	increases	increase	NOUN
ajset-575	292	7	or	or	CCONJ
ajset-575	292	8	the	the	DET
ajset-575	292	9	forward	forward	ADJ
ajset-575	292	10	motion	motion	NOUN
ajset-575	292	11	v	v	ADP
ajset-575	292	12	v	v	NUM
ajset-575	292	13	decelerates	decelerate	NOUN
ajset-575	292	14	,	,	PUNCT
ajset-575	292	15	then	then	ADV
ajset-575	292	16	the	the	DET
ajset-575	292	17	cone	cone	NOUN
ajset-575	292	18	shape	shape	NOUN
ajset-575	292	19	would	would	AUX
ajset-575	292	20	curve	curve	VERB
ajset-575	292	21	and	and	CCONJ
ajset-575	292	22	take	take	VERB
ajset-575	292	23	the	the	DET
ajset-575	292	24	shape	shape	NOUN
ajset-575	292	25	of	of	ADP
ajset-575	292	26	a	a	DET
ajset-575	292	27	“	"	PUNCT
ajset-575	292	28	flute	flute	NOUN
ajset-575	292	29	”	"	PUNCT
ajset-575	292	30	(	(	PUNCT
ajset-575	292	31	or	or	CCONJ
ajset-575	292	32	horn	horn	VERB
ajset-575	292	33	or	or	CCONJ
ajset-575	292	34	bell	bell	NOUN
ajset-575	292	35	)	)	PUNCT
ajset-575	292	36	which	which	PRON
ajset-575	292	37	would	would	AUX
ajset-575	292	38	then	then	ADV
ajset-575	292	39	of	of	ADP
ajset-575	292	40	course	course	NOUN
ajset-575	292	41	have	have	VERB
ajset-575	292	42	intrinsic	intrinsic	ADJ
ajset-575	292	43	curvature	curvature	NOUN
ajset-575	292	44	.	.	PUNCT
ajset-575	293	1	so	so	ADV
ajset-575	293	2	,	,	PUNCT
ajset-575	293	3	in	in	ADP
ajset-575	293	4	order	order	NOUN
ajset-575	293	5	to	to	PART
ajset-575	293	6	have	have	AUX
ajset-575	293	7	intrinsic	intrinsic	ADJ
ajset-575	293	8	curvature	curvature	NOUN
ajset-575	293	9	on	on	ADP
ajset-575	293	10	this	this	DET
ajset-575	293	11	array	array	NOUN
ajset-575	293	12	,	,	PUNCT
ajset-575	293	13	the	the	DET
ajset-575	293	14	rotating	rotate	VERB
ajset-575	293	15	wave	wave	NOUN
ajset-575	293	16	must	must	AUX
ajset-575	293	17	have	have	VERB
ajset-575	293	18	forward	forward	ADJ
ajset-575	293	19	motion	motion	NOUN
ajset-575	293	20	and	and	CCONJ
ajset-575	293	21	radial	radial	ADJ
ajset-575	293	22	expansion	expansion	NOUN
ajset-575	293	23	plus	plus	CCONJ
ajset-575	293	24	acceleration	acceleration	NOUN
ajset-575	293	25	(	(	PUNCT
ajset-575	293	26	or	or	CCONJ
ajset-575	293	27	deceleration	deceleration	NOUN
ajset-575	293	28	)	)	PUNCT
ajset-575	293	29	in	in	ADP
ajset-575	293	30	either	either	CCONJ
ajset-575	293	31	the	the	DET
ajset-575	293	32	forward	forward	ADJ
ajset-575	293	33	motion	motion	NOUN
ajset-575	293	34	or	or	CCONJ
ajset-575	293	35	radial	radial	ADJ
ajset-575	293	36	expansion	expansion	NOUN
ajset-575	293	37	or	or	CCONJ
ajset-575	293	38	both	both	PRON
ajset-575	293	39	.	.	PUNCT
ajset-575	294	1	note	note	VERB
ajset-575	294	2	also	also	ADV
ajset-575	294	3	that	that	SCONJ
ajset-575	294	4	the	the	DET
ajset-575	294	5	e	e	PROPN
ajset-575	294	6	ru	ru	NOUN
ajset-575	294	7	r	r	NOUN
ajset-575	294	8	certainly	certainly	ADV
ajset-575	294	9	corresponds	correspond	VERB
ajset-575	294	10	to	to	ADP
ajset-575	294	11	the	the	DET
ajset-575	294	12	rotational	rotational	ADJ
ajset-575	294	13	velocity	velocity	NOUN
ajset-575	294	14	vr	vr	PROPN
ajset-575	294	15	of	of	ADP
ajset-575	294	16	the	the	DET
ajset-575	294	17	rotating	rotate	VERB
ajset-575	294	18	wave	wave	NOUN
ajset-575	294	19	while	while	SCONJ
ajset-575	294	20	c	c	NOUN
ajset-575	294	21	=	=	SYM
ajset-575	294	22	ecc	ecc	PROPN
ajset-575	294	23	corresponds	correspond	VERB
ajset-575	294	24	exactly	exactly	ADV
ajset-575	294	25	to	to	ADP
ajset-575	294	26	c	c	NOUN
ajset-575	294	27	=	=	PRON
ajset-575	294	28	vv	vv	ADP
ajset-575	294	29	vr	vr	PROPN
ajset-575	294	30	vt	vt	PROPN
ajset-575	294	31	,	,	PUNCT
ajset-575	294	32	so	so	ADV
ajset-575	294	33	the	the	DET
ajset-575	294	34	e	e	PROPN
ajset-575	294	35	vu	vu	X
ajset-575	294	36	v	v	NOUN
ajset-575	294	37	=	=	SYM
ajset-575	294	38	e	e	NOUN
ajset-575	294	39	1u	1u	NUM
ajset-575	294	40	1	1	NUM
ajset-575	294	41	e	e	NOUN
ajset-575	294	42	2u	2u	NOUN
ajset-575	294	43	2	2	NUM
ajset-575	294	44	e	e	X
ajset-575	294	45	3u	3u	NUM
ajset-575	294	46	3	3	NUM
ajset-575	294	47	must	must	AUX
ajset-575	294	48	as	as	ADP
ajset-575	294	49	a	a	DET
ajset-575	294	50	result	result	NOUN
ajset-575	294	51	correspond	correspond	NOUN
ajset-575	294	52	to	to	ADP
ajset-575	294	53	the	the	DET
ajset-575	294	54	forward	forward	ADJ
ajset-575	294	55	(	(	PUNCT
ajset-575	294	56	translational	translational	ADJ
ajset-575	294	57	)	)	PUNCT
ajset-575	294	58	velocity	velocity	NOUN
ajset-575	294	59	of	of	ADP
ajset-575	294	60	the	the	DET
ajset-575	294	61	rotating	rotate	VERB
ajset-575	294	62	wave	wave	NOUN
ajset-575	294	63	.	.	PUNCT
ajset-575	295	1	while	while	SCONJ
ajset-575	295	2	any	any	DET
ajset-575	295	3	helical	helical	ADJ
ajset-575	295	4	surface	surface	NOUN
ajset-575	295	5	is	be	AUX
ajset-575	295	6	extrinsically	extrinsically	ADV
ajset-575	295	7	curved	curve	VERB
ajset-575	295	8	,	,	PUNCT
ajset-575	295	9	it	it	PRON
ajset-575	295	10	can	can	AUX
ajset-575	295	11	be	be	AUX
ajset-575	295	12	shown	show	VERB
ajset-575	295	13	that	that	SCONJ
ajset-575	295	14	the	the	DET
ajset-575	295	15	helical	helical	ADJ
ajset-575	295	16	surface	surface	NOUN
ajset-575	295	17	of	of	ADP
ajset-575	295	18	the	the	DET
ajset-575	295	19	rotating	rotate	VERB
ajset-575	295	20	wave	wave	NOUN
ajset-575	295	21	does	do	AUX
ajset-575	295	22	not	not	PART
ajset-575	295	23	necessarily	necessarily	ADV
ajset-575	295	24	have	have	VERB
ajset-575	295	25	intrinsic	intrinsic	ADJ
ajset-575	295	26	curvature	curvature	NOUN
ajset-575	295	27	.	.	PUNCT
ajset-575	296	1	if	if	SCONJ
ajset-575	296	2	there	there	PRON
ajset-575	296	3	is	be	VERB
ajset-575	296	4	no	no	DET
ajset-575	296	5	attracting	attract	VERB
ajset-575	296	6	mass	mass	NOUN
ajset-575	296	7	,	,	PUNCT
ajset-575	296	8	then	then	ADV
ajset-575	296	9	the	the	DET
ajset-575	296	10	axis	axis	NOUN
ajset-575	296	11	of	of	ADP
ajset-575	296	12	spin	spin	NOUN
ajset-575	296	13	will	will	AUX
ajset-575	296	14	not	not	PART
ajset-575	296	15	change	change	VERB
ajset-575	296	16	and	and	CCONJ
ajset-575	296	17	the	the	DET
ajset-575	296	18	above	above	ADV
ajset-575	296	19	generated	generate	VERB
ajset-575	296	20	helical	helical	ADJ
ajset-575	296	21	surface	surface	NOUN
ajset-575	296	22	will	will	AUX
ajset-575	296	23	be	be	AUX
ajset-575	296	24	intrinsically	intrinsically	ADV
ajset-575	296	25	flat	flat	ADJ
ajset-575	296	26	.	.	PUNCT
ajset-575	297	1	such	such	DET
ajset-575	297	2	a	a	DET
ajset-575	297	3	helical	helical	ADJ
ajset-575	297	4	surface	surface	NOUN
ajset-575	297	5	when	when	SCONJ
ajset-575	297	6	unwrapped	unwrapped	ADJ
ajset-575	297	7	from	from	ADP
ajset-575	297	8	its	its	PRON
ajset-575	297	9	helical	helical	ADJ
ajset-575	297	10	path	path	NOUN
ajset-575	297	11	will	will	AUX
ajset-575	297	12	become	become	VERB
ajset-575	297	13	extrinsically	extrinsically	ADV
ajset-575	297	14	flat	flat	ADJ
ajset-575	297	15	.	.	PUNCT
ajset-575	298	1	when	when	SCONJ
ajset-575	298	2	there	there	PRON
ajset-575	298	3	is	be	VERB
ajset-575	298	4	an	an	DET
ajset-575	298	5	attracting	attract	VERB
ajset-575	298	6	mass	mass	NOUN
ajset-575	298	7	,	,	PUNCT
ajset-575	298	8	gravity	gravity	NOUN
ajset-575	298	9	will	will	AUX
ajset-575	298	10	accelerate	accelerate	VERB
ajset-575	298	11	a	a	DET
ajset-575	298	12	free	free	ADJ
ajset-575	298	13	falling	fall	VERB
ajset-575	298	14	rotating	rotate	VERB
ajset-575	298	15	wave	wave	NOUN
ajset-575	298	16	and	and	CCONJ
ajset-575	298	17	also	also	ADV
ajset-575	298	18	cause	cause	VERB
ajset-575	298	19	it	it	PRON
ajset-575	298	20	to	to	ADP
ajset-575	298	21	spiral	spiral	ADJ
ajset-575	298	22	outwards	outward	NOUN
ajset-575	298	23	.	.	PUNCT
ajset-575	299	1	the	the	DET
ajset-575	299	2	combination	combination	NOUN
ajset-575	299	3	of	of	ADP
ajset-575	299	4	spiral	spiral	ADJ
ajset-575	299	5	and	and	CCONJ
ajset-575	299	6	helical	helical	ADJ
ajset-575	299	7	path	path	NOUN
ajset-575	299	8	will	will	AUX
ajset-575	299	9	create	create	VERB
ajset-575	299	10	intrinsic	intrinsic	ADJ
ajset-575	299	11	curvature	curvature	NOUN
ajset-575	299	12	.	.	PUNCT
ajset-575	300	1	the	the	DET
ajset-575	300	2	helical	helical	ADJ
ajset-575	300	3	path	path	NOUN
ajset-575	300	4	illustrated	illustrate	VERB
ajset-575	300	5	in	in	ADP
ajset-575	300	6	figure	figure	NOUN
ajset-575	300	7	13	13	NUM
ajset-575	300	8	,	,	PUNCT
ajset-575	300	9	can	can	AUX
ajset-575	300	10	also	also	ADV
ajset-575	300	11	be	be	AUX
ajset-575	300	12	described	describe	VERB
ajset-575	300	13	by	by	ADP
ajset-575	300	14	:	:	PUNCT
ajset-575	300	15	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	300	16	academic	academic	ADJ
ajset-575	300	17	journal	journal	NOUN
ajset-575	300	18	of	of	ADP
ajset-575	300	19	science	science	NOUN
ajset-575	300	20	,	,	PUNCT
ajset-575	300	21	engineering	engineering	NOUN
ajset-575	300	22	and	and	CCONJ
ajset-575	300	23	technology	technology	NOUN
ajset-575	300	24	vol.6	vol.6	PROPN
ajset-575	300	25	,	,	PUNCT
ajset-575	300	26	issue	issue	NOUN
ajset-575	300	27	1	1	NUM
ajset-575	300	28	;	;	PUNCT
ajset-575	300	29	january	january	PROPN
ajset-575	300	30	febuary	febuary	PROPN
ajset-575	300	31	2021	2021	NUM
ajset-575	300	32	;	;	PUNCT
ajset-575	300	33	1252	1252	NUM
ajset-575	300	34	columbia	columbia	PROPN
ajset-575	300	35	rd	rd	PROPN
ajset-575	300	36	nw	nw	PROPN
ajset-575	300	37	,	,	PUNCT
ajset-575	300	38	washington	washington	PROPN
ajset-575	300	39	dc	dc	PROPN
ajset-575	300	40	,	,	PUNCT
ajset-575	300	41	united	united	PROPN
ajset-575	300	42	states	states	PROPN
ajset-575	300	43	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	300	44	;	;	PUNCT
ajset-575	300	45	mail	mail	NOUN
ajset-575	300	46	:	:	PUNCT
ajset-575	300	47	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	300	48	63	63	NUM
ajset-575	301	1	|	|	ADV
ajset-575	301	2	a	a	DET
ajset-575	301	3	c	c	NOUN
ajset-575	301	4	a	a	PRON
ajset-575	301	5	d	d	X
ajset-575	301	6	e	e	NOUN
ajset-575	301	7	m	m	NOUN
ajset-575	301	8	i	i	NOUN
ajset-575	301	9	c	c	NOUN
ajset-575	301	10	j	j	NOUN
ajset-575	301	11	o	o	X
ajset-575	301	12	u	u	NOUN
ajset-575	301	13	r	r	NOUN
ajset-575	301	14	n	n	NOUN
ajset-575	301	15	a	a	DET
ajset-575	301	16	l	l	NOUN
ajset-575	301	17	o	o	X
ajset-575	302	1	f	f	X
ajset-575	302	2	s	s	X
ajset-575	302	3	c	c	NOUN
ajset-575	303	1	i	i	NOUN
ajset-575	303	2	e	e	PROPN
ajset-575	303	3	n	n	PROPN
ajset-575	303	4	c	c	NOUN
ajset-575	303	5	e	e	X
ajset-575	303	6	,	,	PUNCT
ajset-575	303	7	e	e	PROPN
ajset-575	303	8	n	n	PRON
ajset-575	303	9	g	g	NOUN
ajset-575	303	10	i	i	PRON
ajset-575	303	11	n	n	VERB
ajset-575	303	12	e	e	NOUN
ajset-575	303	13	e	e	NOUN
ajset-575	303	14	r	r	VERB
ajset-575	303	15	i	i	PRON
ajset-575	303	16	n	n	CCONJ
ajset-575	303	17	g	g	PROPN
ajset-575	303	18	a	a	DET
ajset-575	303	19	n	n	NOUN
ajset-575	303	20	d	d	NOUN
ajset-575	303	21	t	t	NOUN
ajset-575	303	22	e	e	X
ajset-575	303	23	c	c	NOUN
ajset-575	303	24	h	h	NOUN
ajset-575	303	25	n	n	ADV
ajset-575	303	26	o	o	NOUN
ajset-575	303	27	l	l	NOUN
ajset-575	304	1	o	o	X
ajset-575	304	2	g	g	NOUN
ajset-575	304	3	y	y	PROPN
ajset-575	304	4	|	|	ADV
ajset-575	304	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	304	6	erur	erur	NOUN
ajset-575	305	1	=	=	SYM
ajset-575	305	2	e1u1	e1u1	X
ajset-575	305	3	e2u2	e2u2	INTJ
ajset-575	305	4	e3u3	e3u3	X
ajset-575	305	5	e4u4	e4u4	X
ajset-575	305	6	=	=	NOUN
ajset-575	305	7	esus	esus	PROPN
ajset-575	305	8	c	c	PROPN
ajset-575	305	9	such	such	ADJ
ajset-575	305	10	that	that	SCONJ
ajset-575	305	11	the	the	DET
ajset-575	305	12	curvature	curvature	NOUN
ajset-575	305	13	invariant	invariant	ADJ
ajset-575	305	14	–	–	PUNCT
ajset-575	305	15	(	(	PUNCT
ajset-575	305	16	ur	ur	INTJ
ajset-575	305	17	)	)	PUNCT
ajset-575	305	18	2	2	NUM
ajset-575	305	19	=	=	SYM
ajset-575	305	20	giju	giju	NOUN
ajset-575	305	21	iu	iu	ADP
ajset-575	305	22	j	j	PROPN
ajset-575	305	23	with	with	ADP
ajset-575	305	24	the	the	DET
ajset-575	305	25	use	use	NOUN
ajset-575	305	26	of	of	ADP
ajset-575	305	27	the	the	DET
ajset-575	305	28	metric	metric	ADJ
ajset-575	305	29	tensor	tensor	NOUN
ajset-575	305	30	and	and	CCONJ
ajset-575	305	31	einstein	einstein	NOUN
ajset-575	305	32	’s	’s	PART
ajset-575	305	33	summation	summation	PROPN
ajset-575	305	34	convention	convention	NOUN
ajset-575	305	35	of	of	ADP
ajset-575	305	36	summing	sum	VERB
ajset-575	305	37	on	on	ADP
ajset-575	305	38	repeated	repeat	VERB
ajset-575	305	39	indices	index	NOUN
ajset-575	305	40	.	.	PUNCT
ajset-575	306	1	according	accord	VERB
ajset-575	306	2	to	to	ADP
ajset-575	306	3	minkewski	minkewski	ADJ
ajset-575	306	4	space	space	NOUN
ajset-575	306	5	-	-	PUNCT
ajset-575	306	6	time	time	NOUN
ajset-575	306	7	coordinates	coordinate	NOUN
ajset-575	306	8	,	,	PUNCT
ajset-575	306	9	u4	u4	PROPN
ajset-575	306	10	=	=	PROPN
ajset-575	306	11	ic	ic	PROPN
ajset-575	306	12	and	and	CCONJ
ajset-575	306	13	(	(	PUNCT
ajset-575	306	14	u4)2	u4)2	X
ajset-575	306	15	=	=	SYM
ajset-575	306	16	c	c	NOUN
ajset-575	306	17	.	.	PUNCT
ajset-575	307	1	note	note	VERB
ajset-575	307	2	that	that	SCONJ
ajset-575	307	3	the	the	DET
ajset-575	307	4	tensor	tensor	NOUN
ajset-575	307	5	relationship	relationship	NOUN
ajset-575	307	6	,	,	PUNCT
ajset-575	307	7	which	which	PRON
ajset-575	307	8	is	be	AUX
ajset-575	307	9	graphically	graphically	ADV
ajset-575	307	10	illustrated	illustrate	VERB
ajset-575	307	11	by	by	ADP
ajset-575	307	12	the	the	DET
ajset-575	307	13	rw	rw	NOUN
ajset-575	307	14	,	,	PUNCT
ajset-575	307	15	can	can	AUX
ajset-575	307	16	be	be	AUX
ajset-575	307	17	more	more	ADV
ajset-575	307	18	fundamentally	fundamentally	ADV
ajset-575	307	19	described	describe	VERB
ajset-575	307	20	by	by	ADP
ajset-575	307	21	the	the	DET
ajset-575	307	22	equation	equation	NOUN
ajset-575	307	23	:	:	PUNCT
ajset-575	307	24	c2	c2	PROPN
ajset-575	307	25	=	=	PROPN
ajset-575	307	26	biju	biju	PROPN
ajset-575	307	27	iu	iu	PROPN
ajset-575	307	28	j	j	PROPN
ajset-575	307	29	in	in	ADP
ajset-575	307	30	which	which	PRON
ajset-575	307	31	b	b	NUM
ajset-575	307	32	ij	ij	NOUN
ajset-575	307	33	is	be	AUX
ajset-575	307	34	an	an	DET
ajset-575	307	35	equally	equally	ADV
ajset-575	307	36	valid	valid	ADJ
ajset-575	307	37	metric	metric	ADJ
ajset-575	307	38	tensor	tensor	NOUN
ajset-575	307	39	and	and	CCONJ
ajset-575	307	40	now	now	ADV
ajset-575	307	41	u4	u4	PROPN
ajset-575	307	42	=	=	NOUN
ajset-575	307	43	ur	ur	PROPN
ajset-575	307	44	.	.	PUNCT
ajset-575	308	1	this	this	PRON
ajset-575	308	2	enables	enable	VERB
ajset-575	308	3	us	we	PRON
ajset-575	308	4	to	to	PART
ajset-575	308	5	eliminate	eliminate	VERB
ajset-575	308	6	the	the	DET
ajset-575	308	7	imaginary	imaginary	ADJ
ajset-575	308	8	component	component	NOUN
ajset-575	308	9	i	i	PRON
ajset-575	308	10	and	and	CCONJ
ajset-575	308	11	construct	construct	VERB
ajset-575	308	12	the	the	DET
ajset-575	308	13	bij	bij	NOUN
ajset-575	308	14	from	from	ADP
ajset-575	308	15	conventional	conventional	ADJ
ajset-575	308	16	base	base	NOUN
ajset-575	308	17	vectors	vector	NOUN
ajset-575	308	18	.	.	PUNCT
ajset-575	309	1	from	from	ADP
ajset-575	309	2	here	here	ADV
ajset-575	309	3	on	on	ADP
ajset-575	309	4	the	the	DET
ajset-575	309	5	summation	summation	NOUN
ajset-575	309	6	convention	convention	NOUN
ajset-575	309	7	will	will	AUX
ajset-575	309	8	be	be	AUX
ajset-575	309	9	used	use	VERB
ajset-575	309	10	implicitly	implicitly	ADV
ajset-575	309	11	and	and	CCONJ
ajset-575	309	12	the	the	DET
ajset-575	309	13	bkl	bkl	NOUN
ajset-575	309	14	=	=	SYM
ajset-575	309	15	gkl	gkl	NOUN
ajset-575	309	16	=	=	PUNCT
ajset-575	309	17	ek	ek	PROPN
ajset-575	309	18	e	e	PROPN
ajset-575	309	19	such	such	ADJ
ajset-575	309	20	that	that	DET
ajset-575	309	21	c2	c2	PROPN
ajset-575	309	22	=	=	SYM
ajset-575	309	23	gklu	gklu	PROPN
ajset-575	309	24	ku	ku	PROPN
ajset-575	309	25	to	to	PART
ajset-575	309	26	keep	keep	VERB
ajset-575	309	27	things	thing	NOUN
ajset-575	309	28	simple	simple	ADJ
ajset-575	309	29	.	.	PUNCT
ajset-575	310	1	at	at	ADP
ajset-575	310	2	the	the	DET
ajset-575	310	3	conclusion	conclusion	NOUN
ajset-575	310	4	of	of	ADP
ajset-575	310	5	the	the	DET
ajset-575	310	6	following	follow	VERB
ajset-575	310	7	derivation	derivation	NOUN
ajset-575	310	8	of	of	ADP
ajset-575	310	9	rk	rk	NOUN
ajset-575	310	10	and	and	CCONJ
ajset-575	310	11	thus	thus	ADV
ajset-575	310	12	gk	gk	PROPN
ajset-575	310	13	,	,	PUNCT
ajset-575	310	14	one	one	PRON
ajset-575	310	15	can	can	AUX
ajset-575	310	16	then	then	ADV
ajset-575	310	17	compare	compare	VERB
ajset-575	310	18	the	the	DET
ajset-575	310	19	rotating	rotate	VERB
ajset-575	310	20	wave	wave	NOUN
ajset-575	310	21	with	with	ADP
ajset-575	310	22	that	that	PRON
ajset-575	310	23	of	of	ADP
ajset-575	310	24	the	the	DET
ajset-575	310	25	minkewski	minkewski	ADJ
ajset-575	310	26	space	space	NOUN
ajset-575	310	27	-	-	PUNCT
ajset-575	310	28	time	time	NOUN
ajset-575	310	29	coordinate	coordinate	NOUN
ajset-575	310	30	system	system	NOUN
ajset-575	310	31	and	and	CCONJ
ajset-575	310	32	the	the	DET
ajset-575	310	33	mass	mass	ADJ
ajset-575	310	34	energy	energy	NOUN
ajset-575	310	35	density	density	NOUN
ajset-575	310	36	tensor	tensor	NOUN
ajset-575	310	37	t	t	PROPN
ajset-575	310	38	k	k	PROPN
ajset-575	310	39	.	.	PUNCT
ajset-575	311	1	general	general	ADJ
ajset-575	311	2	surfaces	surface	NOUN
ajset-575	311	3	–	–	PUNCT
ajset-575	311	4	curvature	curvature	NOUN
ajset-575	311	5	calculation	calculation	NOUN
ajset-575	311	6	–	–	PUNCT
ajset-575	311	7	rk	rk	VERB
ajset-575	311	8	the	the	DET
ajset-575	311	9	intrinsic	intrinsic	ADJ
ajset-575	311	10	curvature	curvature	NOUN
ajset-575	311	11	of	of	ADP
ajset-575	311	12	the	the	DET
ajset-575	311	13	spiral	spiral	ADJ
ajset-575	311	14	helical	helical	ADJ
ajset-575	311	15	surface	surface	NOUN
ajset-575	311	16	can	can	AUX
ajset-575	311	17	be	be	AUX
ajset-575	311	18	calculated	calculate	VERB
ajset-575	311	19	by	by	ADP
ajset-575	311	20	the	the	DET
ajset-575	311	21	reimannian	reimannian	ADJ
ajset-575	311	22	curvature	curvature	NOUN
ajset-575	311	23	tensor	tensor	NOUN
ajset-575	311	24	r	r	NOUN
ajset-575	311	25	ik	ik	X
ajset-575	311	26	n	n	ADV
ajset-575	311	27	and	and	CCONJ
ajset-575	311	28	sufficiently	sufficiently	ADV
ajset-575	311	29	by	by	ADP
ajset-575	311	30	the	the	DET
ajset-575	311	31	ricci	ricci	PROPN
ajset-575	311	32	tensor	tensor	NOUN
ajset-575	311	33	r	r	NOUN
ajset-575	311	34	k	k	NOUN
ajset-575	311	35	=	=	PUNCT
ajset-575	311	36	r	r	NOUN
ajset-575	311	37	k	k	PROPN
ajset-575	311	38	n	n	X
ajset-575	311	39	which	which	PRON
ajset-575	311	40	is	be	AUX
ajset-575	311	41	the	the	DET
ajset-575	311	42	contraction	contraction	NOUN
ajset-575	311	43	of	of	ADP
ajset-575	311	44	the	the	DET
ajset-575	311	45	curvature	curvature	NOUN
ajset-575	311	46	tensor	tensor	NOUN
ajset-575	311	47	.	.	PUNCT
ajset-575	312	1	note	note	NOUN
ajset-575	312	2	vectors	vector	NOUN
ajset-575	312	3	are	be	AUX
ajset-575	312	4	not	not	PART
ajset-575	312	5	embolded	embolde	VERB
ajset-575	312	6	,	,	PUNCT
ajset-575	312	7	but	but	CCONJ
ajset-575	312	8	implied	imply	VERB
ajset-575	312	9	with	with	ADP
ajset-575	312	10	base	base	NOUN
ajset-575	312	11	vectors	vector	NOUN
ajset-575	312	12	.	.	PUNCT
ajset-575	313	1	rikn	rikn	PROPN
ajset-575	313	2	=	=	SYM
ajset-575	313	3	t	t	PROPN
ajset-575	313	4	ni	ni	PROPN
ajset-575	313	5	,	,	PUNCT
ajset-575	313	6	k	k	PROPN
ajset-575	313	7	t	t	PROPN
ajset-575	313	8	nk	nk	PROPN
ajset-575	313	9	,	,	PUNCT
ajset-575	313	10	i	i	PRON
ajset-575	313	11	tsint	tsint	VERB
ajset-575	313	12	sk	sk	INTJ
ajset-575	313	13	tsknt	tsknt	NOUN
ajset-575	314	1	si	si	NOUN
ajset-575	315	1	=	=	SYM
ajset-575	316	1	[	[	X
ajset-575	316	2	t	t	X
ajset-575	316	3	ni	ni	PROPN
ajset-575	316	4	,	,	PUNCT
ajset-575	316	5	k	k	PROPN
ajset-575	316	6	tsknt	tsknt	NOUN
ajset-575	316	7	si	si	X
ajset-575	316	8	]	]	X
ajset-575	317	1	[	[	X
ajset-575	317	2	t	t	X
ajset-575	317	3	nk	nk	PROPN
ajset-575	317	4	,	,	PUNCT
ajset-575	317	5	i	i	PRON
ajset-575	317	6	tsint	tsint	VERB
ajset-575	317	7	sk	sk	INTJ
ajset-575	317	8	]	]	PUNCT
ajset-575	317	9	note	note	NOUN
ajset-575	317	10	:	:	PUNCT
ajset-575	317	11	rc	rc	PROPN
ajset-575	317	12	=	=	PUNCT
ajset-575	317	13	curvature	curvature	NOUN
ajset-575	317	14	due	due	ADP
ajset-575	317	15	to	to	ADP
ajset-575	317	16	the	the	DET
ajset-575	317	17	rotational	rotational	ADJ
ajset-575	317	18	motion	motion	NOUN
ajset-575	317	19	of	of	ADP
ajset-575	317	20	the	the	DET
ajset-575	317	21	wave	wave	NOUN
ajset-575	317	22	.	.	PUNCT
ajset-575	318	1	further	further	ADJ
ajset-575	318	2	derivation	derivation	NOUN
ajset-575	318	3	:	:	PUNCT
ajset-575	318	4	e	e	X
ajset-575	318	5	,	,	PUNCT
ajset-575	318	6	nk	nk	PROPN
ajset-575	318	7	=	=	PROPN
ajset-575	318	8	rc	rc	PROPN
ajset-575	318	9	,	,	PUNCT
ajset-575	318	10	ku	ku	PROPN
ajset-575	318	11	unc	unc	PROPN
ajset-575	318	12	2	2	PROPN
ajset-575	318	13	rcu	rcu	NOUN
ajset-575	318	14	,	,	PUNCT
ajset-575	318	15	kunc	kunc	VERB
ajset-575	318	16	2	2	NUM
ajset-575	318	17	rc	rc	PROPN
ajset-575	318	18	,	,	PUNCT
ajset-575	318	19	ku	ku	PROPN
ajset-575	318	20	un	un	PROPN
ajset-575	318	21	,	,	PUNCT
ajset-575	318	22	kc	kc	PROPN
ajset-575	318	23	2	2	NUM
ajset-575	318	24	(	(	PUNCT
ajset-575	318	25	24	24	NUM
ajset-575	318	26	)	)	PUNCT
ajset-575	318	27	and	and	CCONJ
ajset-575	318	28	by	by	ADP
ajset-575	318	29	applying	apply	VERB
ajset-575	318	30	the	the	DET
ajset-575	318	31	chain	chain	NOUN
ajset-575	318	32	rule	rule	NOUN
ajset-575	318	33	again	again	ADV
ajset-575	318	34	:	:	PUNCT
ajset-575	318	35	e	e	X
ajset-575	318	36	,	,	PUNCT
ajset-575	318	37	nk	nk	PROPN
ajset-575	318	38	=	=	PROPN
ajset-575	318	39	rc	rc	PROPN
ajset-575	318	40	,	,	PUNCT
ajset-575	318	41	c	c	PROPN
ajset-575	318	42	(	(	PUNCT
ajset-575	319	1	xc/	xc/	PROPN
ajset-575	319	2	xk	xk	PROPN
ajset-575	319	3	)	)	PUNCT
ajset-575	319	4	u	u	PROPN
ajset-575	319	5	unc	unc	PROPN
ajset-575	319	6	2	2	NUM
ajset-575	319	7	rcu	rcu	NOUN
ajset-575	319	8	,	,	PUNCT
ajset-575	319	9	c	c	X
ajset-575	319	10	(	(	PUNCT
ajset-575	319	11	xc/	xc/	PROPN
ajset-575	319	12	xk	xk	PROPN
ajset-575	319	13	)	)	PUNCT
ajset-575	319	14	unc	unc	PROPN
ajset-575	319	15	2	2	PROPN
ajset-575	319	16	rc	rc	PROPN
ajset-575	319	17	,	,	PUNCT
ajset-575	319	18	ku	ku	PROPN
ajset-575	319	19	un	un	PROPN
ajset-575	319	20	,	,	PUNCT
ajset-575	319	21	c	c	X
ajset-575	319	22	(	(	PUNCT
ajset-575	319	23	xc/	xc/	PROPN
ajset-575	319	24	xk	xk	PROPN
ajset-575	319	25	)	)	PUNCT
ajset-575	319	26	c	c	PROPN
ajset-575	319	27	2	2	NUM
ajset-575	319	28	and	and	CCONJ
ajset-575	319	29	thus	thus	ADV
ajset-575	319	30	:	:	PUNCT
ajset-575	319	31	e	e	X
ajset-575	319	32	,	,	PUNCT
ajset-575	319	33	nk	nk	PROPN
ajset-575	319	34	=	=	PROPN
ajset-575	319	35	rc	rc	PROPN
ajset-575	319	36	,	,	PUNCT
ajset-575	319	37	cuku	cuku	PROPN
ajset-575	319	38	unc	unc	PROPN
ajset-575	319	39	3	3	PROPN
ajset-575	319	40	rcu	rcu	PROPN
ajset-575	319	41	,	,	PUNCT
ajset-575	319	42	cukunc	cukunc	NOUN
ajset-575	319	43	3	3	NUM
ajset-575	319	44	rcu	rcu	PROPN
ajset-575	319	45	un	un	PROPN
ajset-575	319	46	,	,	PUNCT
ajset-575	319	47	cukc	cukc	NOUN
ajset-575	319	48	3	3	NUM
ajset-575	319	49	and	and	CCONJ
ajset-575	319	50	e	e	NOUN
ajset-575	319	51	,	,	PUNCT
ajset-575	319	52	kn	kn	PROPN
ajset-575	319	53	=	=	SYM
ajset-575	319	54	rc	rc	PROPN
ajset-575	319	55	,	,	PUNCT
ajset-575	319	56	cunu	cunu	PROPN
ajset-575	319	57	ukc	ukc	PROPN
ajset-575	319	58	3	3	NUM
ajset-575	319	59	rcu	rcu	NOUN
ajset-575	319	60	,	,	PUNCT
ajset-575	319	61	cunukc	cunukc	PROPN
ajset-575	319	62	3	3	NUM
ajset-575	319	63	rcu	rcu	PROPN
ajset-575	319	64	uk	uk	PROPN
ajset-575	319	65	,	,	PUNCT
ajset-575	319	66	cunc	cunc	VERB
ajset-575	319	67	3	3	NUM
ajset-575	319	68	note	note	NOUN
ajset-575	319	69	wherever	wherever	SCONJ
ajset-575	319	70	you	you	PRON
ajset-575	319	71	have	have	VERB
ajset-575	319	72	ukun	ukun	PROPN
ajset-575	319	73	,	,	PUNCT
ajset-575	319	74	then	then	ADV
ajset-575	319	75	for	for	ADP
ajset-575	319	76	rk	rk	PRON
ajset-575	319	77	the	the	DET
ajset-575	319	78	terms	term	NOUN
ajset-575	319	79	will	will	AUX
ajset-575	319	80	obviously	obviously	ADV
ajset-575	319	81	commute	commute	VERB
ajset-575	319	82	and	and	CCONJ
ajset-575	319	83	thus	thus	ADV
ajset-575	319	84	the	the	DET
ajset-575	319	85	first	first	ADJ
ajset-575	319	86	two	two	NUM
ajset-575	319	87	terms	term	NOUN
ajset-575	319	88	are	be	AUX
ajset-575	319	89	discarded	discard	VERB
ajset-575	319	90	:	:	PUNCT
ajset-575	319	91	rk	rk	NOUN
ajset-575	319	92	=	=	SYM
ajset-575	319	93	(	(	PUNCT
ajset-575	319	94	e	e	X
ajset-575	319	95	,	,	PUNCT
ajset-575	319	96	nk	nk	PROPN
ajset-575	319	97	e	e	PROPN
ajset-575	319	98	,	,	PUNCT
ajset-575	319	99	kn	kn	PROPN
ajset-575	319	100	)	)	PUNCT
ajset-575	320	1	en	en	X
ajset-575	320	2	=	=	SYM
ajset-575	320	3	rcu	rcu	PROPN
ajset-575	320	4	c	c	PROPN
ajset-575	320	5	3(un	3(un	PROPN
ajset-575	320	6	,	,	PUNCT
ajset-575	320	7	cuk	cuk	PROPN
ajset-575	320	8	uk	uk	PROPN
ajset-575	320	9	,	,	PUNCT
ajset-575	320	10	cun	cun	PROPN
ajset-575	320	11	)	)	PUNCT
ajset-575	320	12	en	en	X
ajset-575	320	13	(	(	PUNCT
ajset-575	320	14	27	27	NUM
ajset-575	320	15	)	)	PUNCT
ajset-575	320	16	again	again	ADV
ajset-575	320	17	using	use	VERB
ajset-575	320	18	the	the	DET
ajset-575	320	19	chain	chain	NOUN
ajset-575	320	20	rule	rule	NOUN
ajset-575	320	21	as	as	ADP
ajset-575	320	22	above	above	ADV
ajset-575	320	23	:	:	PUNCT
ajset-575	320	24	rk	rk	PROPN
ajset-575	320	25	=	=	SYM
ajset-575	320	26	rcu	rcu	PROPN
ajset-575	320	27	c	c	NOUN
ajset-575	320	28	4(anuk	4(anuk	NUM
ajset-575	320	29	akun	akun	NOUN
ajset-575	320	30	)	)	PUNCT
ajset-575	320	31	en	en	X
ajset-575	320	32	(	(	PUNCT
ajset-575	320	33	28	28	NUM
ajset-575	320	34	)	)	PUNCT
ajset-575	320	35	note	note	NOUN
ajset-575	320	36	:	:	PUNCT
ajset-575	321	1	c	c	X
ajset-575	321	2	=	=	SYM
ajset-575	321	3	e	e	X
ajset-575	321	4	cc	cc	NOUN
ajset-575	321	5	=	=	SYM
ajset-575	321	6	e	e	PROPN
ajset-575	321	7	nu	nu	X
ajset-575	321	8	n	n	X
ajset-575	321	9	is	be	AUX
ajset-575	321	10	always	always	ADV
ajset-575	321	11	perpendicular	perpendicular	ADJ
ajset-575	321	12	to	to	ADP
ajset-575	321	13	cr	cr	PROPN
ajset-575	321	14	c	c	PROPN
ajset-575	321	15	=	=	SYM
ajset-575	321	16	de	de	PROPN
ajset-575	321	17	c	c	PROPN
ajset-575	321	18	/	/	SYM
ajset-575	321	19	dt	dt	PROPN
ajset-575	321	20	and	and	CCONJ
ajset-575	321	21	thus	thus	ADV
ajset-575	321	22	the	the	DET
ajset-575	321	23	scalar	scalar	ADJ
ajset-575	321	24	dot	dot	NOUN
ajset-575	321	25	product	product	NOUN
ajset-575	321	26	between	between	ADP
ajset-575	321	27	r	r	NOUN
ajset-575	321	28	c	c	NOUN
ajset-575	321	29	and	and	CCONJ
ajset-575	321	30	c	c	NOUN
ajset-575	321	31	=	=	SYM
ajset-575	321	32	0	0	PROPN
ajset-575	321	33	.	.	PUNCT
ajset-575	322	1	thus	thus	ADV
ajset-575	322	2	for	for	ADP
ajset-575	322	3	the	the	DET
ajset-575	322	4	rotating	rotate	VERB
ajset-575	322	5	wave	wave	NOUN
ajset-575	322	6	:	:	PUNCT
ajset-575	322	7	rk	rk	NOUN
ajset-575	322	8	=	=	NOUN
ajset-575	322	9	rcauku	rcauku	VERB
ajset-575	322	10	c	c	NOUN
ajset-575	322	11	4	4	NUM
ajset-575	322	12	(	(	PUNCT
ajset-575	322	13	29	29	NUM
ajset-575	322	14	)	)	PUNCT
ajset-575	322	15	while	while	SCONJ
ajset-575	322	16	a	a	DET
ajset-575	322	17	=	=	NOUN
ajset-575	322	18	acceleration	acceleration	NOUN
ajset-575	322	19	of	of	ADP
ajset-575	322	20	the	the	DET
ajset-575	322	21	u	u	PROPN
ajset-575	322	22	velocities	velocity	NOUN
ajset-575	322	23	and	and	CCONJ
ajset-575	322	24	the	the	DET
ajset-575	322	25	ricci	ricci	PROPN
ajset-575	322	26	scalar	scalar	NOUN
ajset-575	322	27	r	r	NOUN
ajset-575	322	28	=	=	PUNCT
ajset-575	322	29	gk	gk	NOUN
ajset-575	322	30	rk	rk	NOUN
ajset-575	322	31	=	=	NOUN
ajset-575	322	32	rcac	rcac	NOUN
ajset-575	322	33	2	2	NUM
ajset-575	322	34	(	(	PUNCT
ajset-575	322	35	30	30	NUM
ajset-575	322	36	)	)	PUNCT
ajset-575	322	37	and	and	CCONJ
ajset-575	322	38	1	1	NUM
ajset-575	322	39	rca	rca	NOUN
ajset-575	322	40	2	2	NUM
ajset-575	322	41	1	1	NUM
ajset-575	322	42	gk	gk	NOUN
ajset-575	322	43	=	=	NOUN
ajset-575	322	44	rk	rk	NOUN
ajset-575	322	45	gk	gk	NOUN
ajset-575	322	46	r	r	NOUN
ajset-575	322	47	=	=	SYM
ajset-575	322	48	2	2	NUM
ajset-575	322	49	uku	uku	PROPN
ajset-575	322	50	c	c	PROPN
ajset-575	322	51	gk	gk	PROPN
ajset-575	322	52	(	(	PUNCT
ajset-575	322	53	31	31	NUM
ajset-575	322	54	)	)	SYM
ajset-575	322	55	2	2	NUM
ajset-575	322	56	c	c	NOUN
ajset-575	322	57	2	2	NUM
ajset-575	322	58	(	(	PUNCT
ajset-575	322	59	1	1	NUM
ajset-575	322	60	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	322	61	academic	academic	ADJ
ajset-575	322	62	journal	journal	NOUN
ajset-575	322	63	of	of	ADP
ajset-575	322	64	science	science	NOUN
ajset-575	322	65	,	,	PUNCT
ajset-575	322	66	engineering	engineering	NOUN
ajset-575	322	67	and	and	CCONJ
ajset-575	322	68	technology	technology	NOUN
ajset-575	322	69	vol.6	vol.6	PROPN
ajset-575	322	70	,	,	PUNCT
ajset-575	322	71	issue	issue	NOUN
ajset-575	322	72	1	1	NUM
ajset-575	322	73	;	;	PUNCT
ajset-575	322	74	january	january	PROPN
ajset-575	322	75	febuary	febuary	PROPN
ajset-575	322	76	2021	2021	NUM
ajset-575	322	77	;	;	PUNCT
ajset-575	322	78	1252	1252	NUM
ajset-575	322	79	columbia	columbia	PROPN
ajset-575	322	80	rd	rd	PROPN
ajset-575	322	81	nw	nw	PROPN
ajset-575	322	82	,	,	PUNCT
ajset-575	322	83	washington	washington	PROPN
ajset-575	322	84	dc	dc	PROPN
ajset-575	322	85	,	,	PUNCT
ajset-575	322	86	united	united	PROPN
ajset-575	322	87	states	states	PROPN
ajset-575	322	88	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	322	89	;	;	PUNCT
ajset-575	322	90	mail	mail	NOUN
ajset-575	322	91	:	:	PUNCT
ajset-575	322	92	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	323	1	64	64	NUM
ajset-575	324	1	|	|	ADV
ajset-575	324	2	a	a	DET
ajset-575	324	3	c	c	NOUN
ajset-575	324	4	a	a	PRON
ajset-575	324	5	d	d	X
ajset-575	324	6	e	e	NOUN
ajset-575	324	7	m	m	NOUN
ajset-575	324	8	i	i	NOUN
ajset-575	324	9	c	c	NOUN
ajset-575	324	10	j	j	NOUN
ajset-575	324	11	o	o	X
ajset-575	324	12	u	u	NOUN
ajset-575	324	13	r	r	NOUN
ajset-575	324	14	n	n	NOUN
ajset-575	324	15	a	a	DET
ajset-575	324	16	l	l	NOUN
ajset-575	325	1	o	o	X
ajset-575	325	2	f	f	X
ajset-575	325	3	s	s	X
ajset-575	325	4	c	c	NOUN
ajset-575	326	1	i	i	NOUN
ajset-575	326	2	e	e	PROPN
ajset-575	326	3	n	n	PROPN
ajset-575	326	4	c	c	NOUN
ajset-575	326	5	e	e	X
ajset-575	326	6	,	,	PUNCT
ajset-575	326	7	e	e	PROPN
ajset-575	326	8	n	n	PRON
ajset-575	326	9	g	g	NOUN
ajset-575	326	10	i	i	PRON
ajset-575	326	11	n	n	VERB
ajset-575	326	12	e	e	NOUN
ajset-575	326	13	e	e	NOUN
ajset-575	326	14	r	r	VERB
ajset-575	326	15	i	i	PRON
ajset-575	326	16	n	n	CCONJ
ajset-575	326	17	g	g	PROPN
ajset-575	326	18	a	a	DET
ajset-575	326	19	n	n	NOUN
ajset-575	326	20	d	d	NOUN
ajset-575	326	21	t	t	NOUN
ajset-575	326	22	e	e	X
ajset-575	326	23	c	c	NOUN
ajset-575	326	24	h	h	NOUN
ajset-575	326	25	n	n	ADV
ajset-575	326	26	o	o	NOUN
ajset-575	326	27	l	l	NOUN
ajset-575	327	1	o	o	X
ajset-575	327	2	g	g	NOUN
ajset-575	327	3	y	y	PROPN
ajset-575	327	4	|	|	ADV
ajset-575	327	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	327	6	which	which	PRON
ajset-575	327	7	compares	compare	VERB
ajset-575	327	8	somewhat	somewhat	ADV
ajset-575	327	9	with	with	ADP
ajset-575	327	10	the	the	DET
ajset-575	327	11	einstein	einstein	PROPN
ajset-575	327	12	tensor	tensor	NOUN
ajset-575	327	13	gk	gk	PROPN
ajset-575	327	14	=	=	PROPN
ajset-575	327	15	8	8	NUM
ajset-575	327	16	ktk	ktk	PROPN
ajset-575	327	17	where	where	SCONJ
ajset-575	327	18	the	the	DET
ajset-575	327	19	mass	mass	ADJ
ajset-575	327	20	energy	energy	NOUN
ajset-575	327	21	density	density	NOUN
ajset-575	327	22	tensor	tensor	NOUN
ajset-575	327	23	tk	tk	PROPN
ajset-575	327	24	=	=	PRON
ajset-575	327	25	(	(	PUNCT
ajset-575	327	26	p)uku	p)uku	PROPN
ajset-575	327	27	gk	gk	PROPN
ajset-575	327	28	p	p	PROPN
ajset-575	327	29	has	have	AUX
ajset-575	327	30	been	be	AUX
ajset-575	327	31	written	write	VERB
ajset-575	327	32	.	.	PUNCT
ajset-575	328	1	also	also	ADV
ajset-575	328	2	,	,	PUNCT
ajset-575	328	3	the	the	DET
ajset-575	328	4	scalar	scalar	ADJ
ajset-575	328	5	(	(	PUNCT
ajset-575	328	6	32	32	NUM
ajset-575	328	7	)	)	PUNCT
ajset-575	328	8	g	g	NOUN
ajset-575	328	9	=	=	SYM
ajset-575	328	10	gk	gk	PROPN
ajset-575	328	11	gk	gk	PROPN
ajset-575	328	12	=	=	PROPN
ajset-575	328	13	rcac	rcac	PROPN
ajset-575	328	14	2	2	NUM
ajset-575	328	15	(	(	PUNCT
ajset-575	328	16	33	33	NUM
ajset-575	328	17	)	)	PUNCT
ajset-575	328	18	note	note	NOUN
ajset-575	328	19	again	again	ADV
ajset-575	328	20	,	,	PUNCT
ajset-575	328	21	we	we	PRON
ajset-575	328	22	are	be	AUX
ajset-575	328	23	deriving	derive	VERB
ajset-575	328	24	the	the	DET
ajset-575	328	25	surface	surface	NOUN
ajset-575	328	26	curvature	curvature	NOUN
ajset-575	328	27	where	where	SCONJ
ajset-575	328	28	the	the	DET
ajset-575	328	29	light	light	ADJ
ajset-575	328	30	line	line	NOUN
ajset-575	328	31	follows	follow	VERB
ajset-575	328	32	the	the	DET
ajset-575	328	33	path	path	NOUN
ajset-575	328	34	of	of	ADP
ajset-575	328	35	the	the	DET
ajset-575	328	36	wave	wave	NOUN
ajset-575	328	37	which	which	PRON
ajset-575	328	38	is	be	AUX
ajset-575	328	39	going	go	VERB
ajset-575	328	40	at	at	ADP
ajset-575	328	41	velocity	velocity	NOUN
ajset-575	328	42	c	c	NOUN
ajset-575	328	43	at	at	ADP
ajset-575	328	44	certain	certain	ADJ
ajset-575	328	45	radii	radius	NOUN
ajset-575	328	46	from	from	ADP
ajset-575	328	47	the	the	DET
ajset-575	328	48	axis	axis	NOUN
ajset-575	328	49	of	of	ADP
ajset-575	328	50	spin	spin	NOUN
ajset-575	328	51	.	.	PUNCT
ajset-575	329	1	that	that	DET
ajset-575	329	2	light	light	ADJ
ajset-575	329	3	–	–	PUNCT
ajset-575	329	4	line	line	NOUN
ajset-575	329	5	spirals	spiral	NOUN
ajset-575	329	6	out	out	ADP
ajset-575	329	7	and	and	CCONJ
ajset-575	329	8	the	the	DET
ajset-575	329	9	angular	angular	ADJ
ajset-575	329	10	velocity	velocity	NOUN
ajset-575	329	11	thus	thus	ADV
ajset-575	329	12	decreases	decrease	VERB
ajset-575	329	13	,	,	PUNCT
ajset-575	329	14	slowing	slow	VERB
ajset-575	329	15	down	down	ADP
ajset-575	329	16	the	the	DET
ajset-575	329	17	time	time	NOUN
ajset-575	329	18	cycle	cycle	NOUN
ajset-575	329	19	of	of	ADP
ajset-575	329	20	the	the	DET
ajset-575	329	21	rotating	rotate	VERB
ajset-575	329	22	wave	wave	NOUN
ajset-575	329	23	.	.	PUNCT
ajset-575	330	1	this	this	PRON
ajset-575	330	2	is	be	AUX
ajset-575	330	3	relevant	relevant	ADJ
ajset-575	330	4	to	to	ADP
ajset-575	330	5	the	the	DET
ajset-575	330	6	apparent	apparent	ADJ
ajset-575	330	7	expansion	expansion	NOUN
ajset-575	330	8	of	of	ADP
ajset-575	330	9	the	the	DET
ajset-575	330	10	universe	universe	NOUN
ajset-575	330	11	and	and	CCONJ
ajset-575	330	12	the	the	DET
ajset-575	330	13	apparent	apparent	ADJ
ajset-575	330	14	slowing	slowing	NOUN
ajset-575	330	15	down	down	ADP
ajset-575	330	16	of	of	ADP
ajset-575	330	17	time	time	NOUN
ajset-575	330	18	.	.	PUNCT
ajset-575	331	1	without	without	ADP
ajset-575	331	2	this	this	DET
ajset-575	331	3	expansion	expansion	NOUN
ajset-575	331	4	and	and	CCONJ
ajset-575	331	5	slowing	slow	VERB
ajset-575	331	6	of	of	ADP
ajset-575	331	7	time	time	NOUN
ajset-575	331	8	,	,	PUNCT
ajset-575	331	9	there	there	PRON
ajset-575	331	10	can	can	AUX
ajset-575	331	11	be	be	AUX
ajset-575	331	12	no	no	DET
ajset-575	331	13	intrinsic	intrinsic	ADJ
ajset-575	331	14	surface	surface	NOUN
ajset-575	331	15	curvature	curvature	NOUN
ajset-575	331	16	of	of	ADP
ajset-575	331	17	the	the	DET
ajset-575	331	18	path	path	NOUN
ajset-575	331	19	of	of	ADP
ajset-575	331	20	the	the	DET
ajset-575	331	21	rotating	rotate	VERB
ajset-575	331	22	wave	wave	NOUN
ajset-575	331	23	and	and	CCONJ
ajset-575	331	24	thus	thus	ADV
ajset-575	331	25	no	no	DET
ajset-575	331	26	gravity	gravity	NOUN
ajset-575	331	27	.	.	PUNCT
ajset-575	332	1	an	an	DET
ajset-575	332	2	electromagnetic	electromagnetic	ADJ
ajset-575	332	3	wave	wave	NOUN
ajset-575	332	4	theory	theory	NOUN
ajset-575	332	5	and	and	CCONJ
ajset-575	332	6	thus	thus	ADV
ajset-575	332	7	summing	sum	VERB
ajset-575	332	8	on	on	ADP
ajset-575	332	9	n	n	PRON
ajset-575	332	10	and	and	CCONJ
ajset-575	332	11	plus	plus	CCONJ
ajset-575	332	12	reorganizing	reorganize	VERB
ajset-575	332	13	:	:	PUNCT
ajset-575	332	14	rk	rk	NOUN
ajset-575	332	15	=	=	PUNCT
ajset-575	333	1	[	[	X
ajset-575	333	2	t	t	X
ajset-575	333	3	nn	nn	PROPN
ajset-575	333	4	,	,	PUNCT
ajset-575	333	5	k	k	PROPN
ajset-575	333	6	tsknt	tsknt	PROPN
ajset-575	333	7	sn	sn	PROPN
ajset-575	333	8	]	]	PUNCT
ajset-575	334	1	[	[	X
ajset-575	334	2	t	t	X
ajset-575	334	3	nk	nk	PROPN
ajset-575	334	4	,	,	PUNCT
ajset-575	334	5	n	n	PRON
ajset-575	334	6	tsnnt	tsnnt	NOUN
ajset-575	334	7	sk	sk	X
ajset-575	334	8	]	]	PUNCT
ajset-575	334	9	(	(	PUNCT
ajset-575	334	10	20	20	NUM
ajset-575	334	11	)	)	PUNCT
ajset-575	334	12	now	now	ADV
ajset-575	334	13	let	let	VERB
ajset-575	334	14	a	a	DET
ajset-575	334	15	vector	vector	NOUN
ajset-575	334	16	:	:	PUNCT
ajset-575	334	17	a=	a=	VERB
ajset-575	334	18	es	es	ADP
ajset-575	334	19	a	a	DET
ajset-575	334	20	s	s	NOUN
ajset-575	334	21	=	=	SYM
ajset-575	334	22	e	e	NOUN
ajset-575	334	23	,	,	PUNCT
ajset-575	334	24	k	k	PROPN
ajset-575	334	25	=	=	SYM
ajset-575	334	26	e	e	PROPN
ajset-575	334	27	/	/	SYM
ajset-575	334	28	xk	xk	PROPN
ajset-575	334	29	and	and	CCONJ
ajset-575	334	30	another	another	DET
ajset-575	334	31	vector	vector	NOUN
ajset-575	334	32	b=	b=	NOUN
ajset-575	334	33	es	es	ADP
ajset-575	334	34	a	a	DET
ajset-575	334	35	s	s	PROPN
ajset-575	334	36	=	=	SYM
ajset-575	334	37	el	el	PROPN
ajset-575	334	38	,	,	PUNCT
ajset-575	334	39	j	j	PROPN
ajset-575	334	40	=	=	SYM
ajset-575	334	41	e	e	PROPN
ajset-575	334	42	/	/	SYM
ajset-575	334	43	x	x	PROPN
ajset-575	334	44	j	j	PROPN
ajset-575	334	45	thus	thus	ADV
ajset-575	334	46	:	:	PUNCT
ajset-575	334	47	rikn	rikn	PROPN
ajset-575	334	48	=	=	PUNCT
ajset-575	335	1	[	[	X
ajset-575	335	2	a	a	X
ajset-575	335	3	,	,	PUNCT
ajset-575	335	4	nk	nk	PROPN
ajset-575	335	5	(	(	PUNCT
ajset-575	335	6	es	es	PROPN
ajset-575	335	7	,	,	PUNCT
ajset-575	335	8	ken	ken	PROPN
ajset-575	335	9	)	)	PUNCT
ajset-575	335	10	as	as	ADP
ajset-575	335	11	]	]	PUNCT
ajset-575	336	1	[	[	X
ajset-575	336	2	b	b	X
ajset-575	336	3	,	,	PUNCT
ajset-575	336	4	ni	ni	PROPN
ajset-575	336	5	(	(	PUNCT
ajset-575	336	6	es	es	PROPN
ajset-575	336	7	,	,	PUNCT
ajset-575	336	8	ien	ien	NOUN
ajset-575	336	9	)	)	PUNCT
ajset-575	336	10	bs	bs	PROPN
ajset-575	336	11	]	]	PUNCT
ajset-575	336	12	and	and	CCONJ
ajset-575	336	13	:	:	PUNCT
ajset-575	336	14	rikn	rikn	X
ajset-575	336	15	=	=	PUNCT
ajset-575	337	1	[	[	AUX
ajset-575	337	2	esen	esen	VERB
ajset-575	337	3	a	a	PRON
ajset-575	337	4	,	,	PUNCT
ajset-575	337	5	sk	sk	X
ajset-575	337	6	(	(	PUNCT
ajset-575	337	7	es	es	NOUN
ajset-575	337	8	,	,	PUNCT
ajset-575	337	9	ken	ken	PROPN
ajset-575	337	10	)	)	PUNCT
ajset-575	337	11	as	as	ADP
ajset-575	337	12	]	]	X
ajset-575	338	1	[	[	X
ajset-575	338	2	esenb	esenb	NOUN
ajset-575	338	3	,	,	PUNCT
ajset-575	338	4	si	si	PROPN
ajset-575	338	5	(	(	PUNCT
ajset-575	338	6	es	es	PROPN
ajset-575	338	7	,	,	PUNCT
ajset-575	338	8	ien	ien	NOUN
ajset-575	338	9	)	)	PUNCT
ajset-575	338	10	bs	bs	PROPN
ajset-575	338	11	]	]	PUNCT
ajset-575	338	12	rikn	rikn	NOUN
ajset-575	338	13	=	=	PUNCT
ajset-575	339	1	[	[	X
ajset-575	339	2	a	a	X
ajset-575	339	3	,	,	PUNCT
ajset-575	339	4	k	k	PROPN
ajset-575	339	5	b	b	PROPN
ajset-575	339	6	,	,	PUNCT
ajset-575	339	7	i	i	PRON
ajset-575	339	8	]	]	X
ajset-575	339	9	en	en	X
ajset-575	339	10	=	=	SYM
ajset-575	339	11	(	(	PUNCT
ajset-575	339	12	e	e	PROPN
ajset-575	339	13	,	,	PUNCT
ajset-575	339	14	ik	ik	PROPN
ajset-575	339	15	e	e	PROPN
ajset-575	339	16	,	,	PUNCT
ajset-575	339	17	ki	ki	PROPN
ajset-575	339	18	)	)	PUNCT
ajset-575	339	19	en	en	VERB
ajset-575	339	20	summing	sum	VERB
ajset-575	339	21	on	on	ADP
ajset-575	339	22	i	i	PRON
ajset-575	339	23	and	and	CCONJ
ajset-575	339	24	n	n	CCONJ
ajset-575	339	25	,	,	PUNCT
ajset-575	339	26	we	we	PRON
ajset-575	339	27	thus	thus	ADV
ajset-575	339	28	have	have	VERB
ajset-575	339	29	another	another	DET
ajset-575	339	30	mathematical	mathematical	ADJ
ajset-575	339	31	formula	formula	NOUN
ajset-575	339	32	for	for	ADP
ajset-575	339	33	the	the	DET
ajset-575	339	34	ricci	ricci	PROPN
ajset-575	339	35	curvature	curvature	NOUN
ajset-575	339	36	(	(	PUNCT
ajset-575	339	37	2	2	NUM
ajset-575	339	38	tensor	tensor	NOUN
ajset-575	339	39	rk	rk	NOUN
ajset-575	339	40	:	:	PUNCT
ajset-575	339	41	rk	rk	PROPN
ajset-575	339	42	=	=	SYM
ajset-575	339	43	(	(	PUNCT
ajset-575	339	44	e	e	X
ajset-575	339	45	,	,	PUNCT
ajset-575	339	46	nk	nk	PROPN
ajset-575	339	47	e	e	PROPN
ajset-575	339	48	,	,	PUNCT
ajset-575	339	49	kn	kn	PROPN
ajset-575	339	50	)	)	PUNCT
ajset-575	339	51	en	en	ADP
ajset-575	339	52	for	for	ADP
ajset-575	339	53	any	any	DET
ajset-575	339	54	form	form	NOUN
ajset-575	339	55	of	of	ADP
ajset-575	339	56	curved	curved	ADJ
ajset-575	339	57	continuous	continuous	ADJ
ajset-575	339	58	surface	surface	NOUN
ajset-575	339	59	.	.	PUNCT
ajset-575	340	1	it	it	PRON
ajset-575	340	2	is	be	AUX
ajset-575	340	3	interesting	interesting	ADJ
ajset-575	340	4	that	that	SCONJ
ajset-575	340	5	it	it	PRON
ajset-575	340	6	looks	look	VERB
ajset-575	340	7	a	a	DET
ajset-575	340	8	bit	bit	NOUN
ajset-575	340	9	similar	similar	ADJ
ajset-575	340	10	to	to	ADP
ajset-575	340	11	the	the	DET
ajset-575	340	12	faraday	faraday	PROPN
ajset-575	340	13	tensor	tensor	NOUN
ajset-575	340	14	fk	fk	INTJ
ajset-575	340	15	=	=	PUNCT
ajset-575	340	16	a	a	PROPN
ajset-575	340	17	,	,	PUNCT
ajset-575	340	18	n	n	PROPN
ajset-575	340	19	k	k	PROPN
ajset-575	340	20	a	a	X
ajset-575	340	21	,	,	PUNCT
ajset-575	340	22	k	k	PROPN
ajset-575	340	23	n	n	X
ajset-575	340	24	.	.	PUNCT
ajset-575	341	1	rotating	rotate	VERB
ajset-575	341	2	wave	wave	NOUN
ajset-575	341	3	position	position	NOUN
ajset-575	341	4	vectors	vector	NOUN
ajset-575	341	5	and	and	CCONJ
ajset-575	341	6	curvature	curvature	NOUN
ajset-575	341	7	calculation	calculation	NOUN
ajset-575	341	8	–	–	PUNCT
ajset-575	341	9	rk	rk	NOUN
ajset-575	341	10	since	since	SCONJ
ajset-575	341	11	ec	ec	PROPN
ajset-575	341	12	and	and	CCONJ
ajset-575	341	13	e	e	NOUN
ajset-575	341	14	lie	lie	VERB
ajset-575	341	15	within	within	ADP
ajset-575	341	16	the	the	DET
ajset-575	341	17	surface	surface	NOUN
ajset-575	341	18	c	c	NOUN
ajset-575	341	19	=	=	SYM
ajset-575	341	20	ecc	ecc	PROPN
ajset-575	341	21	=	=	PUNCT
ajset-575	341	22	e	e	NOUN
ajset-575	341	23	u	u	NOUN
ajset-575	341	24	then	then	ADV
ajset-575	341	25	by	by	ADP
ajset-575	341	26	the	the	DET
ajset-575	341	27	chain	chain	NOUN
ajset-575	341	28	rule	rule	NOUN
ajset-575	341	29	:	:	PUNCT
ajset-575	341	30	e	e	NOUN
ajset-575	341	31	,	,	PUNCT
ajset-575	341	32	n	n	NOUN
ajset-575	341	33	=	=	SYM
ajset-575	341	34	e	e	X
ajset-575	341	35	/	/	SYM
ajset-575	341	36	xn	xn	PROPN
ajset-575	342	1	=	=	PUNCT
ajset-575	342	2	e	e	PROPN
ajset-575	342	3	/	/	SYM
ajset-575	342	4	xc	xc	PROPN
ajset-575	342	5	(	(	PUNCT
ajset-575	342	6	xc/	xc/	PROPN
ajset-575	342	7	xn	xn	PROPN
ajset-575	342	8	)	)	PUNCT
ajset-575	343	1	=	=	PRON
ajset-575	343	2	ec/	ec/	VERB
ajset-575	343	3	x	x	SYM
ajset-575	343	4	(	(	PUNCT
ajset-575	343	5	xc/	xc/	NOUN
ajset-575	343	6	xn	xn	PROPN
ajset-575	343	7	)	)	PUNCT
ajset-575	344	1	=	=	PRON
ajset-575	344	2	ec/	ec/	VERB
ajset-575	344	3	xc	xc	PROPN
ajset-575	345	1	(	(	PUNCT
ajset-575	345	2	xc/	xc/	PRON
ajset-575	345	3	xl	xl	PROPN
ajset-575	345	4	)	)	PUNCT
ajset-575	345	5	(	(	PUNCT
ajset-575	345	6	xc/	xc/	PROPN
ajset-575	345	7	xn	xn	PROPN
ajset-575	345	8	)	)	PUNCT
ajset-575	346	1	=	=	PRON
ajset-575	346	2	ec/	ec/	VERB
ajset-575	346	3	xt	xt	X
ajset-575	347	1	(	(	PUNCT
ajset-575	347	2	xt/	xt/	PROPN
ajset-575	347	3	xc	xc	PROPN
ajset-575	347	4	)	)	PUNCT
ajset-575	347	5	(	(	PUNCT
ajset-575	347	6	xc/	xc/	NOUN
ajset-575	347	7	x	x	X
ajset-575	347	8	)	)	PUNCT
ajset-575	347	9	(	(	PUNCT
ajset-575	347	10	xc/	xc/	NOUN
ajset-575	347	11	xn	xn	X
ajset-575	347	12	)	)	PUNCT
ajset-575	347	13	=	=	PRON
ajset-575	347	14	(	(	PUNCT
ajset-575	347	15	dec	dec	PROPN
ajset-575	347	16	/	/	SYM
ajset-575	347	17	dt	dt	PROPN
ajset-575	347	18	)	)	PUNCT
ajset-575	347	19	c	c	PROPN
ajset-575	347	20	1(ece	1(ece	NUM
ajset-575	347	21	)	)	PUNCT
ajset-575	347	22	c	c	NOUN
ajset-575	347	23	1(ecen)c	1(ecen)c	NUM
ajset-575	347	24	1	1	NUM
ajset-575	347	25	(	(	PUNCT
ajset-575	347	26	2	2	NUM
ajset-575	347	27	=	=	SYM
ajset-575	347	28	(	(	PUNCT
ajset-575	347	29	dec	dec	PROPN
ajset-575	347	30	/	/	SYM
ajset-575	347	31	dt	dt	PROPN
ajset-575	347	32	)	)	PUNCT
ajset-575	347	33	u	u	PROPN
ajset-575	347	34	unc	unc	PROPN
ajset-575	347	35	3	3	NUM
ajset-575	347	36	=	=	SYM
ajset-575	347	37	rcu	rcu	PROPN
ajset-575	347	38	unc	unc	PROPN
ajset-575	347	39	2	2	NUM
ajset-575	347	40	(	(	PUNCT
ajset-575	347	41	02	02	NUM
ajset-575	347	42	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	347	43	academic	academic	ADJ
ajset-575	347	44	journal	journal	NOUN
ajset-575	347	45	of	of	ADP
ajset-575	347	46	science	science	NOUN
ajset-575	347	47	,	,	PUNCT
ajset-575	347	48	engineering	engineering	NOUN
ajset-575	347	49	and	and	CCONJ
ajset-575	347	50	technology	technology	NOUN
ajset-575	347	51	vol.6	vol.6	PROPN
ajset-575	347	52	,	,	PUNCT
ajset-575	347	53	issue	issue	NOUN
ajset-575	347	54	1	1	NUM
ajset-575	347	55	;	;	PUNCT
ajset-575	347	56	january	january	PROPN
ajset-575	347	57	febuary	febuary	PROPN
ajset-575	347	58	2021	2021	NUM
ajset-575	347	59	;	;	PUNCT
ajset-575	347	60	1252	1252	NUM
ajset-575	347	61	columbia	columbia	PROPN
ajset-575	347	62	rd	rd	PROPN
ajset-575	347	63	nw	nw	PROPN
ajset-575	347	64	,	,	PUNCT
ajset-575	347	65	washington	washington	PROPN
ajset-575	347	66	dc	dc	PROPN
ajset-575	347	67	,	,	PUNCT
ajset-575	347	68	united	united	PROPN
ajset-575	347	69	states	states	PROPN
ajset-575	347	70	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	347	71	;	;	PUNCT
ajset-575	347	72	mail	mail	NOUN
ajset-575	347	73	:	:	PUNCT
ajset-575	347	74	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	348	1	65	65	NUM
ajset-575	349	1	|	|	ADV
ajset-575	349	2	a	a	DET
ajset-575	349	3	c	c	NOUN
ajset-575	349	4	a	a	PRON
ajset-575	349	5	d	d	X
ajset-575	349	6	e	e	NOUN
ajset-575	349	7	m	m	NOUN
ajset-575	349	8	i	i	NOUN
ajset-575	349	9	c	c	NOUN
ajset-575	349	10	j	j	NOUN
ajset-575	349	11	o	o	X
ajset-575	349	12	u	u	NOUN
ajset-575	349	13	r	r	NOUN
ajset-575	349	14	n	n	NOUN
ajset-575	349	15	a	a	DET
ajset-575	349	16	l	l	NOUN
ajset-575	350	1	o	o	X
ajset-575	350	2	f	f	X
ajset-575	350	3	s	s	X
ajset-575	350	4	c	c	NOUN
ajset-575	351	1	i	i	NOUN
ajset-575	351	2	e	e	PROPN
ajset-575	351	3	n	n	PROPN
ajset-575	351	4	c	c	NOUN
ajset-575	351	5	e	e	X
ajset-575	351	6	,	,	PUNCT
ajset-575	351	7	e	e	PROPN
ajset-575	351	8	n	n	PRON
ajset-575	351	9	g	g	NOUN
ajset-575	351	10	i	i	PRON
ajset-575	351	11	n	n	VERB
ajset-575	351	12	e	e	NOUN
ajset-575	351	13	e	e	NOUN
ajset-575	351	14	r	r	VERB
ajset-575	351	15	i	i	PRON
ajset-575	351	16	n	n	CCONJ
ajset-575	351	17	g	g	PROPN
ajset-575	351	18	a	a	DET
ajset-575	351	19	n	n	NOUN
ajset-575	351	20	d	d	NOUN
ajset-575	351	21	t	t	NOUN
ajset-575	351	22	e	e	X
ajset-575	351	23	c	c	NOUN
ajset-575	351	24	h	h	NOUN
ajset-575	351	25	n	n	ADV
ajset-575	351	26	o	o	NOUN
ajset-575	351	27	l	l	NOUN
ajset-575	352	1	o	o	X
ajset-575	352	2	g	g	NOUN
ajset-575	352	3	y	y	PROPN
ajset-575	352	4	|	|	ADV
ajset-575	352	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	352	6	of	of	ADP
ajset-575	352	7	gravity	gravity	NOUN
ajset-575	352	8	,	,	PUNCT
ajset-575	352	9	the	the	DET
ajset-575	352	10	binding	bind	VERB
ajset-575	352	11	energy	energy	NOUN
ajset-575	352	12	(	(	PUNCT
ajset-575	352	13	eb	eb	PROPN
ajset-575	352	14	)	)	PUNCT
ajset-575	352	15	of	of	ADP
ajset-575	352	16	the	the	DET
ajset-575	352	17	rotating	rotate	VERB
ajset-575	352	18	wave	wave	NOUN
ajset-575	352	19	affects	affect	VERB
ajset-575	352	20	the	the	DET
ajset-575	352	21	permittivity	permittivity	NOUN
ajset-575	352	22	and	and	CCONJ
ajset-575	352	23	permeability	permeability	NOUN
ajset-575	352	24	of	of	ADP
ajset-575	352	25	space	space	NOUN
ajset-575	352	26	which	which	PRON
ajset-575	352	27	in	in	ADP
ajset-575	352	28	turn	turn	NOUN
ajset-575	352	29	causes	cause	VERB
ajset-575	352	30	incidental	incidental	ADJ
ajset-575	352	31	waves	wave	NOUN
ajset-575	352	32	to	to	PART
ajset-575	352	33	slow	slow	VERB
ajset-575	352	34	down	down	ADP
ajset-575	352	35	and	and	CCONJ
ajset-575	352	36	accelerate	accelerate	VERB
ajset-575	352	37	towards	towards	ADP
ajset-575	352	38	the	the	DET
ajset-575	352	39	attracting	attract	VERB
ajset-575	352	40	mass	mass	NOUN
ajset-575	352	41	.	.	PUNCT
ajset-575	353	1	thus	thus	ADV
ajset-575	353	2	the	the	DET
ajset-575	353	3	slowing	slowing	NOUN
ajset-575	353	4	of	of	ADP
ajset-575	353	5	time	time	NOUN
ajset-575	353	6	,	,	PUNCT
ajset-575	353	7	spiral	spiral	ADJ
ajset-575	353	8	expansion	expansion	NOUN
ajset-575	353	9	of	of	ADP
ajset-575	353	10	the	the	DET
ajset-575	353	11	light	light	ADJ
ajset-575	353	12	–	–	PUNCT
ajset-575	353	13	line	line	NOUN
ajset-575	353	14	,	,	PUNCT
ajset-575	353	15	and	and	CCONJ
ajset-575	353	16	the	the	DET
ajset-575	353	17	gravitational	gravitational	ADJ
ajset-575	353	18	force	force	NOUN
ajset-575	353	19	all	all	PRON
ajset-575	353	20	go	go	VERB
ajset-575	353	21	hand	hand	NOUN
ajset-575	353	22	in	in	ADP
ajset-575	353	23	hand	hand	NOUN
ajset-575	353	24	to	to	PART
ajset-575	353	25	explain	explain	VERB
ajset-575	353	26	the	the	DET
ajset-575	353	27	expansion	expansion	NOUN
ajset-575	353	28	of	of	ADP
ajset-575	353	29	the	the	DET
ajset-575	353	30	universe	universe	NOUN
ajset-575	353	31	from	from	ADP
ajset-575	353	32	the	the	DET
ajset-575	353	33	quantum	quantum	ADJ
ajset-575	353	34	mechanical	mechanical	ADJ
ajset-575	353	35	level	level	NOUN
ajset-575	353	36	.	.	PUNCT
ajset-575	354	1	the	the	DET
ajset-575	354	2	binding	bind	VERB
ajset-575	354	3	energy	energy	NOUN
ajset-575	354	4	given	give	VERB
ajset-575	354	5	up	up	ADP
ajset-575	354	6	through	through	ADP
ajset-575	354	7	the	the	DET
ajset-575	354	8	interaction	interaction	NOUN
ajset-575	354	9	of	of	ADP
ajset-575	354	10	rotating	rotate	VERB
ajset-575	354	11	waves	wave	NOUN
ajset-575	354	12	thus	thus	ADV
ajset-575	354	13	appears	appear	VERB
ajset-575	354	14	to	to	PART
ajset-575	354	15	go	go	VERB
ajset-575	354	16	into	into	ADP
ajset-575	354	17	the	the	DET
ajset-575	354	18	background	background	NOUN
ajset-575	354	19	radiation	radiation	NOUN
ajset-575	354	20	.	.	PUNCT
ajset-575	355	1	line	line	NOUN
ajset-575	355	2	eq	eq	PROPN
ajset-575	355	3	.	.	PUNCT
ajset-575	356	1	(	(	PUNCT
ajset-575	356	2	29	29	NUM
ajset-575	356	3	)	)	PUNCT
ajset-575	356	4	is	be	AUX
ajset-575	356	5	very	very	ADV
ajset-575	356	6	telling	telling	ADJ
ajset-575	356	7	.	.	PUNCT
ajset-575	357	1	if	if	SCONJ
ajset-575	357	2	a	a	DET
ajset-575	357	3	=	=	NOUN
ajset-575	357	4	0	0	NUM
ajset-575	357	5	or	or	CCONJ
ajset-575	357	6	a	a	PRON
ajset-575	357	7	is	be	AUX
ajset-575	357	8	perpendicular	perpendicular	ADJ
ajset-575	357	9	to	to	ADP
ajset-575	357	10	rc	rc	PROPN
ajset-575	357	11	,	,	PUNCT
ajset-575	357	12	then	then	ADV
ajset-575	357	13	there	there	PRON
ajset-575	357	14	will	will	AUX
ajset-575	357	15	be	be	AUX
ajset-575	357	16	no	no	DET
ajset-575	357	17	intrinsic	intrinsic	ADJ
ajset-575	357	18	curvature	curvature	NOUN
ajset-575	357	19	.	.	PUNCT
ajset-575	358	1	in	in	ADP
ajset-575	358	2	order	order	NOUN
ajset-575	358	3	to	to	PART
ajset-575	358	4	get	get	VERB
ajset-575	358	5	intrinsic	intrinsic	ADJ
ajset-575	358	6	curvature	curvature	NOUN
ajset-575	358	7	,	,	PUNCT
ajset-575	358	8	we	we	PRON
ajset-575	358	9	need	need	VERB
ajset-575	358	10	spiral	spiral	ADJ
ajset-575	358	11	expansion	expansion	NOUN
ajset-575	358	12	of	of	ADP
ajset-575	358	13	the	the	DET
ajset-575	358	14	helical	helical	ADJ
ajset-575	358	15	light	light	NOUN
ajset-575	358	16	line	line	NOUN
ajset-575	358	17	plus	plus	CCONJ
ajset-575	358	18	the	the	DET
ajset-575	358	19	forward	forward	ADJ
ajset-575	358	20	motion	motion	NOUN
ajset-575	358	21	and	and	CCONJ
ajset-575	358	22	use	use	NOUN
ajset-575	358	23	of	of	ADP
ajset-575	358	24	riemannian	riemannian	ADJ
ajset-575	358	25	geometry	geometry	NOUN
ajset-575	358	26	.	.	PUNCT
ajset-575	359	1	a	a	DET
ajset-575	359	2	spiral	spiral	ADJ
ajset-575	359	3	light	light	ADJ
ajset-575	359	4	line	line	NOUN
ajset-575	359	5	of	of	ADP
ajset-575	359	6	a	a	DET
ajset-575	359	7	stationary	stationary	ADJ
ajset-575	359	8	rotating	rotate	VERB
ajset-575	359	9	wave	wave	NOUN
ajset-575	359	10	would	would	AUX
ajset-575	359	11	indeed	indeed	ADV
ajset-575	359	12	spiral	spiral	VERB
ajset-575	359	13	,	,	PUNCT
ajset-575	359	14	but	but	CCONJ
ajset-575	359	15	remain	remain	VERB
ajset-575	359	16	on	on	ADP
ajset-575	359	17	a	a	DET
ajset-575	359	18	flat	flat	ADJ
ajset-575	359	19	plane	plane	NOUN
ajset-575	359	20	.	.	PUNCT
ajset-575	360	1	a	a	DET
ajset-575	360	2	helical	helical	ADJ
ajset-575	360	3	light	light	ADJ
ajset-575	360	4	line	line	NOUN
ajset-575	360	5	without	without	ADP
ajset-575	360	6	spiral	spiral	ADJ
ajset-575	360	7	expansion	expansion	NOUN
ajset-575	360	8	would	would	AUX
ajset-575	360	9	remain	remain	VERB
ajset-575	360	10	on	on	ADP
ajset-575	360	11	a	a	DET
ajset-575	360	12	cylindrical	cylindrical	ADJ
ajset-575	360	13	surface	surface	NOUN
ajset-575	360	14	that	that	PRON
ajset-575	360	15	has	have	VERB
ajset-575	360	16	no	no	DET
ajset-575	360	17	intrinsic	intrinsic	ADJ
ajset-575	360	18	curvature	curvature	NOUN
ajset-575	360	19	.	.	PUNCT
ajset-575	361	1	a	a	DET
ajset-575	361	2	helical	helical	ADJ
ajset-575	361	3	light	light	ADJ
ajset-575	361	4	line	line	NOUN
ajset-575	361	5	with	with	ADP
ajset-575	361	6	spiral	spiral	ADJ
ajset-575	361	7	expansion	expansion	NOUN
ajset-575	361	8	could	could	AUX
ajset-575	361	9	trace	trace	VERB
ajset-575	361	10	a	a	DET
ajset-575	361	11	path	path	NOUN
ajset-575	361	12	on	on	ADP
ajset-575	361	13	a	a	DET
ajset-575	361	14	cone	cone	NOUN
ajset-575	361	15	which	which	PRON
ajset-575	361	16	again	again	ADV
ajset-575	361	17	has	have	VERB
ajset-575	361	18	no	no	DET
ajset-575	361	19	intrinsic	intrinsic	ADJ
ajset-575	361	20	curvature	curvature	NOUN
ajset-575	361	21	.	.	PUNCT
ajset-575	362	1	if	if	SCONJ
ajset-575	362	2	the	the	DET
ajset-575	362	3	radial	radial	ADJ
ajset-575	362	4	expansion	expansion	NOUN
ajset-575	362	5	is	be	AUX
ajset-575	362	6	increasingly	increasingly	ADV
ajset-575	362	7	faster	fast	ADJ
ajset-575	362	8	than	than	ADP
ajset-575	362	9	the	the	DET
ajset-575	362	10	forward	forward	ADJ
ajset-575	362	11	motion	motion	NOUN
ajset-575	362	12	,	,	PUNCT
ajset-575	362	13	then	then	ADV
ajset-575	362	14	the	the	DET
ajset-575	362	15	resultant	resultant	ADJ
ajset-575	362	16	helical	helical	ADJ
ajset-575	362	17	spiral	spiral	ADJ
ajset-575	362	18	light	light	ADJ
ajset-575	362	19	line	line	NOUN
ajset-575	362	20	can	can	AUX
ajset-575	362	21	be	be	AUX
ajset-575	362	22	infinitely	infinitely	ADV
ajset-575	362	23	arrayed	array	VERB
ajset-575	362	24	around	around	ADP
ajset-575	362	25	the	the	DET
ajset-575	362	26	axis	axis	NOUN
ajset-575	362	27	of	of	ADP
ajset-575	362	28	wave	wave	NOUN
ajset-575	362	29	rotation	rotation	NOUN
ajset-575	362	30	(	(	PUNCT
ajset-575	362	31	albeit	albeit	SCONJ
ajset-575	362	32	with	with	ADP
ajset-575	362	33	with	with	ADP
ajset-575	362	34	varying	vary	VERB
ajset-575	362	35	amplitude	amplitude	NOUN
ajset-575	362	36	accounting	accounting	NOUN
ajset-575	362	37	for	for	ADP
ajset-575	362	38	quantum	quantum	ADJ
ajset-575	362	39	mechanics	mechanic	NOUN
ajset-575	362	40	)	)	PUNCT
ajset-575	362	41	and	and	CCONJ
ajset-575	362	42	the	the	DET
ajset-575	362	43	array	array	NOUN
ajset-575	362	44	will	will	AUX
ajset-575	362	45	form	form	VERB
ajset-575	362	46	the	the	DET
ajset-575	362	47	shape	shape	NOUN
ajset-575	362	48	of	of	ADP
ajset-575	362	49	a	a	DET
ajset-575	362	50	“	"	PUNCT
ajset-575	362	51	flute	flute	NOUN
ajset-575	362	52	”	"	PUNCT
ajset-575	362	53	.	.	PUNCT
ajset-575	363	1	a	a	DET
ajset-575	363	2	flat	flat	ADJ
ajset-575	363	3	space	space	NOUN
ajset-575	363	4	“	"	PUNCT
ajset-575	363	5	cone	cone	NOUN
ajset-575	363	6	”	"	PUNCT
ajset-575	363	7	tangent	tangent	NOUN
ajset-575	363	8	to	to	ADP
ajset-575	363	9	the	the	DET
ajset-575	363	10	“	"	PUNCT
ajset-575	363	11	flute	flute	NOUN
ajset-575	363	12	”	"	PUNCT
ajset-575	363	13	would	would	AUX
ajset-575	363	14	represent	represent	VERB
ajset-575	363	15	a	a	DET
ajset-575	363	16	local	local	ADJ
ajset-575	363	17	inertial	inertial	ADJ
ajset-575	363	18	reference	reference	NOUN
ajset-575	363	19	frame	frame	NOUN
ajset-575	363	20	.	.	PUNCT
ajset-575	364	1	thus	thus	ADV
ajset-575	364	2	according	accord	VERB
ajset-575	364	3	to	to	ADP
ajset-575	364	4	the	the	DET
ajset-575	364	5	rotating	rotate	VERB
ajset-575	364	6	wave	wave	NOUN
ajset-575	364	7	,	,	PUNCT
ajset-575	364	8	the	the	DET
ajset-575	364	9	requirement	requirement	NOUN
ajset-575	364	10	for	for	ADP
ajset-575	364	11	intrinsic	intrinsic	ADJ
ajset-575	364	12	curvature	curvature	NOUN
ajset-575	364	13	and	and	CCONJ
ajset-575	364	14	hence	hence	ADV
ajset-575	364	15	gravity	gravity	NOUN
ajset-575	364	16	is	be	AUX
ajset-575	364	17	a	a	DET
ajset-575	364	18	range	range	NOUN
ajset-575	364	19	between	between	ADP
ajset-575	364	20	two	two	NUM
ajset-575	364	21	extremes	extreme	NOUN
ajset-575	364	22	:	:	PUNCT
ajset-575	364	23	the	the	DET
ajset-575	364	24	accelerating	accelerate	VERB
ajset-575	364	25	spiral	spiral	ADJ
ajset-575	364	26	and	and	CCONJ
ajset-575	364	27	constant	constant	ADJ
ajset-575	364	28	forward	forward	ADJ
ajset-575	364	29	motion	motion	NOUN
ajset-575	364	30	or	or	CCONJ
ajset-575	364	31	constant	constant	ADJ
ajset-575	364	32	spiral	spiral	NOUN
ajset-575	364	33	and	and	CCONJ
ajset-575	364	34	accelerating	accelerate	VERB
ajset-575	364	35	forward	forward	ADJ
ajset-575	364	36	motion	motion	NOUN
ajset-575	364	37	.	.	PUNCT
ajset-575	365	1	note	note	VERB
ajset-575	365	2	the	the	DET
ajset-575	365	3	spiral	spiral	ADJ
ajset-575	365	4	condition	condition	NOUN
ajset-575	365	5	(	(	PUNCT
ajset-575	365	6	or	or	CCONJ
ajset-575	365	7	form	form	NOUN
ajset-575	365	8	)	)	PUNCT
ajset-575	365	9	of	of	ADP
ajset-575	365	10	the	the	DET
ajset-575	365	11	spiral	spiral	ADJ
ajset-575	365	12	helical	helical	ADJ
ajset-575	365	13	rotating	rotating	NOUN
ajset-575	365	14	wave	wave	NOUN
ajset-575	365	15	immediately	immediately	ADV
ajset-575	365	16	suggests	suggest	VERB
ajset-575	365	17	the	the	DET
ajset-575	365	18	slowing	slowing	NOUN
ajset-575	365	19	down	down	ADP
ajset-575	365	20	of	of	ADP
ajset-575	365	21	time	time	NOUN
ajset-575	365	22	and	and	CCONJ
ajset-575	365	23	expansion	expansion	NOUN
ajset-575	365	24	of	of	ADP
ajset-575	365	25	matter	matter	NOUN
ajset-575	365	26	.	.	PUNCT
ajset-575	366	1	where	where	SCONJ
ajset-575	366	2	the	the	DET
ajset-575	366	3	rotating	rotate	VERB
ajset-575	366	4	wave	wave	NOUN
ajset-575	366	5	had	have	VERB
ajset-575	366	6	a	a	DET
ajset-575	366	7	rotational	rotational	ADJ
ajset-575	366	8	velocity	velocity	NOUN
ajset-575	366	9	vr	vr	NOUN
ajset-575	366	10	before	before	ADV
ajset-575	366	11	at	at	ADP
ajset-575	366	12	lessor	lessor	NOUN
ajset-575	366	13	radius	radius	NOUN
ajset-575	366	14	of	of	ADP
ajset-575	366	15	rotation	rotation	NOUN
ajset-575	366	16	,	,	PUNCT
ajset-575	366	17	the	the	DET
ajset-575	366	18	time	time	NOUN
ajset-575	366	19	cycle	cycle	NOUN
ajset-575	366	20	of	of	ADP
ajset-575	366	21	the	the	DET
ajset-575	366	22	rotating	rotate	VERB
ajset-575	366	23	wave	wave	NOUN
ajset-575	366	24	slows	slow	VERB
ajset-575	366	25	down	down	ADP
ajset-575	366	26	in	in	ADP
ajset-575	366	27	a	a	DET
ajset-575	366	28	gravitational	gravitational	ADJ
ajset-575	366	29	field	field	NOUN
ajset-575	366	30	and	and	CCONJ
ajset-575	366	31	vr	vr	NOUN
ajset-575	366	32	is	be	AUX
ajset-575	366	33	now	now	ADV
ajset-575	366	34	at	at	ADP
ajset-575	366	35	a	a	DET
ajset-575	366	36	greater	great	ADJ
ajset-575	366	37	radius	radius	NOUN
ajset-575	366	38	.	.	PUNCT
ajset-575	367	1	thus	thus	ADV
ajset-575	367	2	the	the	DET
ajset-575	367	3	rotating	rotate	VERB
ajset-575	367	4	wave	wave	NOUN
ajset-575	367	5	of	of	ADP
ajset-575	367	6	the	the	DET
ajset-575	367	7	rw	rw	NOUN
ajset-575	367	8	has	have	VERB
ajset-575	367	9	a	a	DET
ajset-575	367	10	built	build	VERB
ajset-575	367	11	-	-	PUNCT
ajset-575	367	12	in	in	ADP
ajset-575	367	13	function	function	NOUN
ajset-575	367	14	that	that	PRON
ajset-575	367	15	manifests	manifest	VERB
ajset-575	367	16	itself	itself	PRON
ajset-575	367	17	in	in	ADP
ajset-575	367	18	the	the	DET
ajset-575	367	19	apparent	apparent	ADJ
ajset-575	367	20	slowing	slowing	NOUN
ajset-575	367	21	down	down	ADP
ajset-575	367	22	of	of	ADP
ajset-575	367	23	time	time	NOUN
ajset-575	367	24	and	and	CCONJ
ajset-575	367	25	expansion	expansion	NOUN
ajset-575	367	26	of	of	ADP
ajset-575	367	27	the	the	DET
ajset-575	367	28	universe	universe	NOUN
ajset-575	367	29	.	.	PUNCT
ajset-575	368	1	the	the	DET
ajset-575	368	2	spiral	spiral	ADJ
ajset-575	368	3	condition	condition	NOUN
ajset-575	368	4	immediately	immediately	ADV
ajset-575	368	5	obviates	obviate	VERB
ajset-575	368	6	the	the	DET
ajset-575	368	7	need	need	NOUN
ajset-575	368	8	for	for	ADP
ajset-575	368	9	the	the	DET
ajset-575	368	10	cosmological	cosmological	ADJ
ajset-575	368	11	constant	constant	NOUN
ajset-575	368	12	.	.	PUNCT
ajset-575	369	1	according	accord	VERB
ajset-575	369	2	to	to	ADP
ajset-575	369	3	the	the	DET
ajset-575	369	4	rotating	rotate	VERB
ajset-575	369	5	wave	wave	NOUN
ajset-575	369	6	,	,	PUNCT
ajset-575	369	7	the	the	DET
ajset-575	369	8	cosmological	cosmological	ADJ
ajset-575	369	9	constant	constant	NOUN
ajset-575	369	10	is	be	AUX
ajset-575	369	11	not	not	PART
ajset-575	369	12	required	require	VERB
ajset-575	369	13	because	because	SCONJ
ajset-575	369	14	the	the	DET
ajset-575	369	15	spiral	spiral	ADJ
ajset-575	369	16	helical	helical	ADJ
ajset-575	369	17	rotating	rotating	NOUN
ajset-575	369	18	wave	wave	NOUN
ajset-575	369	19	is	be	AUX
ajset-575	369	20	already	already	ADV
ajset-575	369	21	slowing	slow	VERB
ajset-575	369	22	down	down	ADV
ajset-575	369	23	and	and	CCONJ
ajset-575	369	24	expanding	expand	VERB
ajset-575	369	25	.	.	PUNCT
ajset-575	370	1	in	in	ADP
ajset-575	370	2	order	order	NOUN
ajset-575	370	3	to	to	PART
ajset-575	370	4	maintain	maintain	VERB
ajset-575	370	5	the	the	DET
ajset-575	370	6	law	law	NOUN
ajset-575	370	7	of	of	ADP
ajset-575	370	8	energy	energy	NOUN
ajset-575	370	9	conservation	conservation	NOUN
ajset-575	370	10	,	,	PUNCT
ajset-575	370	11	the	the	DET
ajset-575	370	12	1	1	NUM
ajset-575	370	13	8	8	NUM
ajset-575	370	14	g	g	NOUN
ajset-575	370	15	gk	gk	NOUN
ajset-575	370	16	=	=	NOUN
ajset-575	370	17	rk	rk	NOUN
ajset-575	370	18	gk	gk	NOUN
ajset-575	370	19	r	r	NOUN
ajset-575	370	20	=	=	SYM
ajset-575	370	21	4	4	NUM
ajset-575	370	22	tk	tk	NOUN
ajset-575	370	23	(	(	PUNCT
ajset-575	370	24	34	34	NUM
ajset-575	370	25	)	)	PUNCT
ajset-575	370	26	2	2	NUM
ajset-575	370	27	c	c	NOUN
ajset-575	370	28	is	be	AUX
ajset-575	370	29	sufficient	sufficient	ADJ
ajset-575	370	30	.	.	PUNCT
ajset-575	371	1	10	10	NUM
ajset-575	371	2	.	.	PUNCT
ajset-575	372	1	an	an	DET
ajset-575	372	2	explanation	explanation	NOUN
ajset-575	372	3	of	of	ADP
ajset-575	372	4	quantum	quantum	ADJ
ajset-575	372	5	mechanics	mechanic	NOUN
ajset-575	372	6	the	the	DET
ajset-575	372	7	concept	concept	NOUN
ajset-575	372	8	of	of	ADP
ajset-575	372	9	the	the	DET
ajset-575	372	10	rw	rw	NOUN
ajset-575	372	11	simply	simply	ADV
ajset-575	372	12	explains	explain	VERB
ajset-575	372	13	why	why	SCONJ
ajset-575	372	14	plank	plank	PROPN
ajset-575	372	15	’s	’s	PART
ajset-575	372	16	constant	constant	ADJ
ajset-575	372	17	h	h	NOUN
ajset-575	372	18	is	be	AUX
ajset-575	372	19	intimately	intimately	ADV
ajset-575	372	20	included	include	VERB
ajset-575	372	21	and	and	CCONJ
ajset-575	372	22	quantized	quantize	VERB
ajset-575	372	23	in	in	ADP
ajset-575	372	24	the	the	DET
ajset-575	372	25	characteristics	characteristic	NOUN
ajset-575	372	26	of	of	ADP
ajset-575	372	27	the	the	DET
ajset-575	372	28	electron	electron	NOUN
ajset-575	372	29	and	and	CCONJ
ajset-575	372	30	all	all	DET
ajset-575	372	31	cyclical	cyclical	ADJ
ajset-575	372	32	functions	function	NOUN
ajset-575	372	33	.	.	PUNCT
ajset-575	373	1	according	accord	VERB
ajset-575	373	2	to	to	ADP
ajset-575	373	3	the	the	DET
ajset-575	373	4	definition	definition	NOUN
ajset-575	373	5	of	of	ADP
ajset-575	373	6	rest	rest	NOUN
ajset-575	373	7	(	(	PUNCT
ajset-575	373	8	energy	energy	NOUN
ajset-575	373	9	)	)	PUNCT
ajset-575	373	10	mass	mass	PROPN
ajset-575	373	11	,	,	PUNCT
ajset-575	373	12	h	h	PRON
ajset-575	373	13	automatically	automatically	ADV
ajset-575	373	14	enters	enter	VERB
ajset-575	373	15	any	any	DET
ajset-575	373	16	equation	equation	NOUN
ajset-575	373	17	of	of	ADP
ajset-575	373	18	matter	matter	NOUN
ajset-575	373	19	.	.	PUNCT
ajset-575	374	1	also	also	ADV
ajset-575	374	2	,	,	PUNCT
ajset-575	374	3	since	since	SCONJ
ajset-575	374	4	the	the	DET
ajset-575	374	5	two	two	NUM
ajset-575	374	6	nodes	node	NOUN
ajset-575	374	7	of	of	ADP
ajset-575	374	8	the	the	DET
ajset-575	374	9	rw	rw	NOUN
ajset-575	374	10	rotate	rotate	VERB
ajset-575	374	11	,	,	PUNCT
ajset-575	374	12	the	the	DET
ajset-575	374	13	effect	effect	NOUN
ajset-575	374	14	of	of	ADP
ajset-575	374	15	their	their	PRON
ajset-575	374	16	electromagnetic	electromagnetic	ADJ
ajset-575	374	17	and	and	CCONJ
ajset-575	374	18	gravitational	gravitational	ADJ
ajset-575	374	19	field	field	NOUN
ajset-575	374	20	strengths	strength	NOUN
ajset-575	374	21	on	on	ADP
ajset-575	374	22	an	an	DET
ajset-575	374	23	adjacent	adjacent	ADJ
ajset-575	374	24	particle	particle	NOUN
ajset-575	374	25	must	must	AUX
ajset-575	374	26	vary	vary	VERB
ajset-575	374	27	in	in	ADP
ajset-575	374	28	a	a	DET
ajset-575	374	29	cyclical	cyclical	ADJ
ajset-575	374	30	fashion	fashion	NOUN
ajset-575	374	31	.	.	PUNCT
ajset-575	375	1	therefore	therefore	ADV
ajset-575	375	2	,	,	PUNCT
ajset-575	375	3	an	an	DET
ajset-575	375	4	orbiting	orbit	VERB
ajset-575	375	5	electron	electron	NOUN
ajset-575	375	6	rw	rw	NOUN
ajset-575	375	7	must	must	AUX
ajset-575	375	8	have	have	VERB
ajset-575	375	9	a	a	DET
ajset-575	375	10	distance	distance	NOUN
ajset-575	375	11	from	from	ADP
ajset-575	375	12	the	the	DET
ajset-575	375	13	nucleus	nucleus	NOUN
ajset-575	375	14	which	which	PRON
ajset-575	375	15	undulates	undulate	VERB
ajset-575	375	16	in	in	ADP
ajset-575	375	17	direct	direct	ADJ
ajset-575	375	18	correspondence	correspondence	NOUN
ajset-575	375	19	to	to	ADP
ajset-575	375	20	the	the	DET
ajset-575	375	21	electron	electron	NOUN
ajset-575	375	22	’s	’s	PART
ajset-575	375	23	spin	spin	NOUN
ajset-575	375	24	.	.	PUNCT
ajset-575	376	1	relativistic	relativistic	ADJ
ajset-575	376	2	effects	effect	NOUN
ajset-575	376	3	of	of	ADP
ajset-575	376	4	the	the	DET
ajset-575	376	5	orbiting	orbit	VERB
ajset-575	376	6	electron	electron	NOUN
ajset-575	376	7	and	and	CCONJ
ajset-575	376	8	nuclear	nuclear	ADJ
ajset-575	376	9	particles	particle	NOUN
ajset-575	376	10	would	would	AUX
ajset-575	376	11	of	of	ADP
ajset-575	376	12	course	course	NOUN
ajset-575	376	13	further	far	ADV
ajset-575	376	14	define	define	VERB
ajset-575	376	15	the	the	DET
ajset-575	376	16	path	path	NOUN
ajset-575	376	17	of	of	ADP
ajset-575	376	18	orbit	orbit	NOUN
ajset-575	376	19	.	.	PUNCT
ajset-575	377	1	furthermore	furthermore	ADV
ajset-575	377	2	,	,	PUNCT
ajset-575	377	3	since	since	SCONJ
ajset-575	377	4	the	the	DET
ajset-575	377	5	nuclear	nuclear	ADJ
ajset-575	377	6	particles	particle	NOUN
ajset-575	377	7	themselves	themselves	PRON
ajset-575	377	8	spin	spin	VERB
ajset-575	377	9	and	and	CCONJ
ajset-575	377	10	therefore	therefore	ADV
ajset-575	377	11	must	must	AUX
ajset-575	377	12	have	have	VERB
ajset-575	377	13	cyclical	cyclical	ADJ
ajset-575	377	14	variations	variation	NOUN
ajset-575	377	15	in	in	ADP
ajset-575	377	16	their	their	PRON
ajset-575	377	17	effective	effective	ADJ
ajset-575	377	18	field	field	NOUN
ajset-575	377	19	strengths	strength	NOUN
ajset-575	377	20	,	,	PUNCT
ajset-575	377	21	then	then	ADV
ajset-575	377	22	the	the	DET
ajset-575	377	23	electron	electron	NOUN
ajset-575	377	24	rw	rw	NOUN
ajset-575	377	25	must	must	AUX
ajset-575	377	26	make	make	VERB
ajset-575	377	27	an	an	DET
ajset-575	377	28	integral	integral	ADJ
ajset-575	377	29	number	number	NOUN
ajset-575	377	30	of	of	ADP
ajset-575	377	31	spins	spin	NOUN
ajset-575	377	32	for	for	ADP
ajset-575	377	33	each	each	DET
ajset-575	377	34	orbit	orbit	NOUN
ajset-575	377	35	in	in	ADP
ajset-575	377	36	order	order	NOUN
ajset-575	377	37	to	to	PART
ajset-575	377	38	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	377	39	academic	academic	ADJ
ajset-575	377	40	journal	journal	NOUN
ajset-575	377	41	of	of	ADP
ajset-575	377	42	science	science	NOUN
ajset-575	377	43	,	,	PUNCT
ajset-575	377	44	engineering	engineering	NOUN
ajset-575	377	45	and	and	CCONJ
ajset-575	377	46	technology	technology	NOUN
ajset-575	377	47	vol.6	vol.6	PROPN
ajset-575	377	48	,	,	PUNCT
ajset-575	377	49	issue	issue	NOUN
ajset-575	377	50	1	1	NUM
ajset-575	377	51	;	;	PUNCT
ajset-575	377	52	january	january	PROPN
ajset-575	377	53	febuary	febuary	PROPN
ajset-575	377	54	2021	2021	NUM
ajset-575	377	55	;	;	PUNCT
ajset-575	377	56	1252	1252	NUM
ajset-575	377	57	columbia	columbia	PROPN
ajset-575	377	58	rd	rd	PROPN
ajset-575	377	59	nw	nw	PROPN
ajset-575	377	60	,	,	PUNCT
ajset-575	377	61	washington	washington	PROPN
ajset-575	377	62	dc	dc	PROPN
ajset-575	377	63	,	,	PUNCT
ajset-575	377	64	united	united	PROPN
ajset-575	377	65	states	states	PROPN
ajset-575	377	66	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	377	67	;	;	PUNCT
ajset-575	377	68	mail	mail	NOUN
ajset-575	377	69	:	:	PUNCT
ajset-575	377	70	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	378	1	66	66	NUM
ajset-575	379	1	|	|	ADV
ajset-575	379	2	a	a	DET
ajset-575	379	3	c	c	NOUN
ajset-575	379	4	a	a	PRON
ajset-575	379	5	d	d	X
ajset-575	379	6	e	e	NOUN
ajset-575	379	7	m	m	NOUN
ajset-575	379	8	i	i	NOUN
ajset-575	379	9	c	c	NOUN
ajset-575	379	10	j	j	NOUN
ajset-575	379	11	o	o	X
ajset-575	379	12	u	u	NOUN
ajset-575	379	13	r	r	NOUN
ajset-575	379	14	n	n	NOUN
ajset-575	379	15	a	a	DET
ajset-575	379	16	l	l	NOUN
ajset-575	380	1	o	o	X
ajset-575	380	2	f	f	X
ajset-575	380	3	s	s	X
ajset-575	380	4	c	c	NOUN
ajset-575	381	1	i	i	NOUN
ajset-575	381	2	e	e	PROPN
ajset-575	381	3	n	n	PROPN
ajset-575	381	4	c	c	NOUN
ajset-575	381	5	e	e	X
ajset-575	381	6	,	,	PUNCT
ajset-575	381	7	e	e	PROPN
ajset-575	381	8	n	n	PRON
ajset-575	381	9	g	g	NOUN
ajset-575	381	10	i	i	PRON
ajset-575	381	11	n	n	VERB
ajset-575	381	12	e	e	NOUN
ajset-575	381	13	e	e	NOUN
ajset-575	381	14	r	r	VERB
ajset-575	381	15	i	i	PRON
ajset-575	381	16	n	n	CCONJ
ajset-575	381	17	g	g	PROPN
ajset-575	381	18	a	a	DET
ajset-575	381	19	n	n	NOUN
ajset-575	381	20	d	d	NOUN
ajset-575	381	21	t	t	NOUN
ajset-575	381	22	e	e	X
ajset-575	381	23	c	c	NOUN
ajset-575	381	24	h	h	NOUN
ajset-575	381	25	n	n	ADV
ajset-575	381	26	o	o	NOUN
ajset-575	381	27	l	l	NOUN
ajset-575	382	1	o	o	X
ajset-575	382	2	g	g	NOUN
ajset-575	382	3	y	y	PROPN
ajset-575	382	4	|	|	ADV
ajset-575	382	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	382	6	stabilize	stabilize	NOUN
ajset-575	382	7	in	in	ADP
ajset-575	382	8	that	that	DET
ajset-575	382	9	orbit	orbit	NOUN
ajset-575	382	10	.	.	PUNCT
ajset-575	383	1	thus	thus	ADV
ajset-575	383	2	orbital	orbital	ADJ
ajset-575	383	3	energies	energy	NOUN
ajset-575	383	4	must	must	AUX
ajset-575	383	5	be	be	AUX
ajset-575	383	6	quantized	quantize	VERB
ajset-575	383	7	with	with	ADP
ajset-575	383	8	respect	respect	NOUN
ajset-575	383	9	to	to	PART
ajset-575	383	10	spin	spin	VERB
ajset-575	383	11	or	or	CCONJ
ajset-575	383	12	rotational	rotational	ADJ
ajset-575	383	13	energies	energy	NOUN
ajset-575	383	14	er	er	INTJ
ajset-575	383	15	.	.	PUNCT
ajset-575	383	16	matrix	matrix	NOUN
ajset-575	383	17	quantum	quantum	NOUN
ajset-575	383	18	mechanics	mechanic	NOUN
ajset-575	383	19	requires	require	VERB
ajset-575	383	20	that	that	SCONJ
ajset-575	383	21	the	the	DET
ajset-575	383	22	energy	energy	NOUN
ajset-575	383	23	level	level	NOUN
ajset-575	383	24	of	of	ADP
ajset-575	383	25	an	an	DET
ajset-575	383	26	electron	electron	NOUN
ajset-575	383	27	orbiting	orbit	VERB
ajset-575	383	28	in	in	ADP
ajset-575	383	29	an	an	DET
ajset-575	383	30	atom	atom	NOUN
ajset-575	383	31	be	be	AUX
ajset-575	383	32	h	h	NOUN
ajset-575	383	33	(	(	PUNCT
ajset-575	383	34	n	n	NOUN
ajset-575	383	35	1/2	1/2	NUM
ajset-575	383	36	)	)	PUNCT
ajset-575	383	37	where	where	SCONJ
ajset-575	383	38	is	be	AUX
ajset-575	383	39	the	the	DET
ajset-575	383	40	frequency	frequency	NOUN
ajset-575	383	41	and	and	CCONJ
ajset-575	383	42	n	n	NOUN
ajset-575	383	43	is	be	AUX
ajset-575	383	44	the	the	DET
ajset-575	383	45	number	number	NOUN
ajset-575	383	46	of	of	ADP
ajset-575	383	47	typical	typical	ADJ
ajset-575	383	48	photons	photon	NOUN
ajset-575	383	49	which	which	PRON
ajset-575	383	50	are	be	AUX
ajset-575	383	51	absorbed	absorb	VERB
ajset-575	383	52	or	or	CCONJ
ajset-575	383	53	emitted	emit	VERB
ajset-575	383	54	.	.	PUNCT
ajset-575	384	1	according	accord	VERB
ajset-575	384	2	to	to	ADP
ajset-575	384	3	rotational	rotational	ADJ
ajset-575	384	4	kinematics	kinematic	NOUN
ajset-575	384	5	,	,	PUNCT
ajset-575	384	6	the	the	DET
ajset-575	384	7	energy	energy	NOUN
ajset-575	384	8	level	level	NOUN
ajset-575	384	9	should	should	AUX
ajset-575	384	10	be	be	AUX
ajset-575	384	11	equivalent	equivalent	ADJ
ajset-575	384	12	to	to	ADP
ajset-575	384	13	the	the	DET
ajset-575	384	14	total	total	ADJ
ajset-575	384	15	angular	angular	ADJ
ajset-575	384	16	energy	energy	NOUN
ajset-575	384	17	of	of	ADP
ajset-575	384	18	the	the	DET
ajset-575	384	19	electron	electron	NOUN
ajset-575	384	20	rw	rw	NOUN
ajset-575	384	21	,	,	PUNCT
ajset-575	384	22	which	which	PRON
ajset-575	384	23	is	be	AUX
ajset-575	384	24	equal	equal	ADJ
ajset-575	384	25	to	to	ADP
ajset-575	384	26	its	its	PRON
ajset-575	384	27	orbital	orbital	ADJ
ajset-575	384	28	energy	energy	NOUN
ajset-575	384	29	plus	plus	CCONJ
ajset-575	384	30	its	its	PRON
ajset-575	384	31	innate	innate	ADJ
ajset-575	384	32	rotational	rotational	ADJ
ajset-575	384	33	energy	energy	NOUN
ajset-575	385	1	er	er	INTJ
ajset-575	385	2	.	.	PUNCT
ajset-575	386	1	the	the	DET
ajset-575	386	2	rotational	rotational	ADJ
ajset-575	386	3	energy	energy	NOUN
ajset-575	386	4	er	er	INTJ
ajset-575	386	5	=	=	NOUN
ajset-575	386	6	h	h	NOUN
ajset-575	387	1	/2	/2	NOUN
ajset-575	387	2	explains	explain	VERB
ajset-575	387	3	why	why	SCONJ
ajset-575	387	4	the	the	DET
ajset-575	387	5	ground	ground	NOUN
ajset-575	387	6	state	state	NOUN
ajset-575	387	7	or	or	CCONJ
ajset-575	387	8	“	"	PUNCT
ajset-575	387	9	zero	zero	NUM
ajset-575	387	10	point	point	NOUN
ajset-575	387	11	”	"	PUNCT
ajset-575	387	12	energy	energy	NOUN
ajset-575	387	13	of	of	ADP
ajset-575	387	14	the	the	DET
ajset-575	387	15	electron	electron	NOUN
ajset-575	387	16	in	in	ADP
ajset-575	387	17	an	an	DET
ajset-575	387	18	atom	atom	NOUN
ajset-575	387	19	must	must	AUX
ajset-575	387	20	be	be	AUX
ajset-575	387	21	h	h	NOUN
ajset-575	387	22	(	(	PUNCT
ajset-575	387	23	n	n	NOUN
ajset-575	387	24	1/2	1/2	NUM
ajset-575	387	25	)	)	PUNCT
ajset-575	387	26	where	where	SCONJ
ajset-575	387	27	n	n	ADV
ajset-575	387	28	=	=	SYM
ajset-575	387	29	0	0	NUM
ajset-575	387	30	for	for	ADP
ajset-575	387	31	an	an	DET
ajset-575	387	32	electron	electron	NOUN
ajset-575	387	33	with	with	ADP
ajset-575	387	34	no	no	DET
ajset-575	387	35	orbit	orbit	NOUN
ajset-575	387	36	.	.	PUNCT
ajset-575	388	1	also	also	ADV
ajset-575	388	2	,	,	PUNCT
ajset-575	388	3	the	the	DET
ajset-575	388	4	concept	concept	NOUN
ajset-575	388	5	of	of	ADP
ajset-575	388	6	the	the	DET
ajset-575	388	7	rw	rw	NOUN
ajset-575	388	8	simply	simply	ADV
ajset-575	388	9	explains	explain	VERB
ajset-575	388	10	why	why	SCONJ
ajset-575	388	11	matter	matter	NOUN
ajset-575	388	12	has	have	VERB
ajset-575	388	13	a	a	DET
ajset-575	388	14	wave	wave	NOUN
ajset-575	388	15	probability	probability	NOUN
ajset-575	388	16	distribution	distribution	NOUN
ajset-575	388	17	.	.	PUNCT
ajset-575	389	1	since	since	SCONJ
ajset-575	389	2	the	the	DET
ajset-575	389	3	wavicle	wavicle	NOUN
ajset-575	389	4	is	be	AUX
ajset-575	389	5	purely	purely	ADV
ajset-575	389	6	a	a	DET
ajset-575	389	7	rotating	rotate	VERB
ajset-575	389	8	electromagnetic	electromagnetic	ADJ
ajset-575	389	9	wave	wave	NOUN
ajset-575	389	10	,	,	PUNCT
ajset-575	389	11	then	then	ADV
ajset-575	389	12	the	the	DET
ajset-575	389	13	probability	probability	NOUN
ajset-575	389	14	of	of	ADP
ajset-575	389	15	detecting	detect	VERB
ajset-575	389	16	the	the	DET
ajset-575	389	17	wavicle	wavicle	NOUN
ajset-575	389	18	near	near	ADP
ajset-575	389	19	some	some	DET
ajset-575	389	20	point	point	NOUN
ajset-575	389	21	in	in	ADP
ajset-575	389	22	space	space	NOUN
ajset-575	389	23	should	should	AUX
ajset-575	389	24	be	be	AUX
ajset-575	389	25	described	describe	VERB
ajset-575	389	26	by	by	ADP
ajset-575	389	27	a	a	DET
ajset-575	389	28	wave	wave	NOUN
ajset-575	389	29	function	function	NOUN
ajset-575	389	30	.	.	PUNCT
ajset-575	390	1	the	the	DET
ajset-575	390	2	derivative	derivative	ADJ
ajset-575	390	3	operators	operator	NOUN
ajset-575	390	4	,	,	PUNCT
ajset-575	390	5	postulated	postulate	VERB
ajset-575	390	6	by	by	ADP
ajset-575	390	7	erwin	erwin	PROPN
ajset-575	390	8	schródinger	schródinger	PROPN
ajset-575	390	9	,	,	PUNCT
ajset-575	390	10	are	be	AUX
ajset-575	390	11	simply	simply	ADV
ajset-575	390	12	deduced	deduce	VERB
ajset-575	390	13	from	from	ADP
ajset-575	390	14	the	the	DET
ajset-575	390	15	basic	basic	ADJ
ajset-575	390	16	wave	wave	NOUN
ajset-575	390	17	equation	equation	NOUN
ajset-575	390	18	of	of	ADP
ajset-575	390	19	the	the	DET
ajset-575	390	20	rw	rw	NOUN
ajset-575	390	21	and	and	CCONJ
ajset-575	390	22	the	the	DET
ajset-575	390	23	effects	effect	NOUN
ajset-575	390	24	of	of	ADP
ajset-575	390	25	relativistic	relativistic	ADJ
ajset-575	390	26	quantum	quantum	ADJ
ajset-575	390	27	mechanics	mechanic	NOUN
ajset-575	390	28	are	be	AUX
ajset-575	390	29	graphically	graphically	ADV
ajset-575	390	30	illustrated	illustrate	VERB
ajset-575	390	31	with	with	ADP
ajset-575	390	32	the	the	DET
ajset-575	390	33	addition	addition	NOUN
ajset-575	390	34	of	of	ADP
ajset-575	390	35	potentials	potential	NOUN
ajset-575	390	36	.	.	PUNCT
ajset-575	391	1	the	the	DET
ajset-575	391	2	only	only	ADJ
ajset-575	391	3	real	real	ADJ
ajset-575	391	4	wave	wave	NOUN
ajset-575	391	5	function	function	NOUN
ajset-575	391	6	of	of	ADP
ajset-575	391	7	the	the	DET
ajset-575	391	8	rw	rw	NOUN
ajset-575	391	9	is	be	AUX
ajset-575	391	10	that	that	PRON
ajset-575	391	11	which	which	PRON
ajset-575	391	12	describes	describe	VERB
ajset-575	391	13	the	the	DET
ajset-575	391	14	amplitude	amplitude	NOUN
ajset-575	391	15	at	at	ADP
ajset-575	391	16	a	a	DET
ajset-575	391	17	certain	certain	ADJ
ajset-575	391	18	time	time	NOUN
ajset-575	391	19	t	t	NOUN
ajset-575	391	20	and	and	CCONJ
ajset-575	391	21	length	length	NOUN
ajset-575	391	22	s	s	PRON
ajset-575	391	23	as	as	SCONJ
ajset-575	391	24	measured	measure	VERB
ajset-575	391	25	along	along	ADP
ajset-575	391	26	the	the	DET
ajset-575	391	27	wave	wave	NOUN
ajset-575	391	28	’s	’s	PART
ajset-575	391	29	helical	helical	ADJ
ajset-575	391	30	path	path	NOUN
ajset-575	391	31	shown	show	VERB
ajset-575	391	32	in	in	ADP
ajset-575	391	33	figure	figure	NOUN
ajset-575	391	34	14	14	NUM
ajset-575	391	35	.	.	PUNCT
ajset-575	392	1	figure	figure	NOUN
ajset-575	392	2	14	14	NUM
ajset-575	392	3	:	:	PUNCT
ajset-575	392	4	cylindrical	cylindrical	ADJ
ajset-575	392	5	model	model	NOUN
ajset-575	392	6	of	of	ADP
ajset-575	392	7	the	the	DET
ajset-575	392	8	helical	helical	ADJ
ajset-575	392	9	path	path	NOUN
ajset-575	392	10	of	of	ADP
ajset-575	392	11	real	real	ADJ
ajset-575	392	12	wave	wave	NOUN
ajset-575	392	13	of	of	ADP
ajset-575	392	14	amplitude	amplitude	NOUN
ajset-575	392	15	and	and	CCONJ
ajset-575	392	16	measurements	measurement	NOUN
ajset-575	392	17	of	of	ADP
ajset-575	392	18	&	&	CCONJ
ajset-575	392	19	in	in	ADP
ajset-575	392	20	the	the	DET
ajset-575	392	21	direction	direction	NOUN
ajset-575	392	22	of	of	ADP
ajset-575	392	23	the	the	DET
ajset-575	392	24	particle	particle	NOUN
ajset-575	392	25	motion	motion	NOUN
ajset-575	392	26	and	and	CCONJ
ajset-575	392	27	in	in	ADP
ajset-575	392	28	the	the	DET
ajset-575	392	29	direction	direction	NOUN
ajset-575	392	30	of	of	ADP
ajset-575	392	31	the	the	DET
ajset-575	392	32	wave	wave	NOUN
ajset-575	392	33	’s	’s	PART
ajset-575	392	34	rotation	rotation	NOUN
ajset-575	392	35	.	.	PUNCT
ajset-575	393	1	vector	vector	NOUN
ajset-575	393	2	ally	ally	NOUN
ajset-575	393	3	.	.	PUNCT
ajset-575	394	1	given	give	VERB
ajset-575	394	2	an	an	DET
ajset-575	394	3	arbitrary	arbitrary	ADJ
ajset-575	394	4	maximum	maximum	ADJ
ajset-575	394	5	amplitude	amplitude	NOUN
ajset-575	394	6	n	n	NOUN
ajset-575	394	7	,	,	PUNCT
ajset-575	394	8	wavelength	wavelength	NOUN
ajset-575	394	9	,	,	PUNCT
ajset-575	394	10	and	and	CCONJ
ajset-575	394	11	spin	spin	VERB
ajset-575	394	12	angular	angular	ADJ
ajset-575	394	13	velocity	velocity	NOUN
ajset-575	394	14	,	,	PUNCT
ajset-575	394	15	the	the	DET
ajset-575	394	16	sinusoidal	sinusoidal	ADJ
ajset-575	394	17	real	real	ADJ
ajset-575	394	18	wave	wave	NOUN
ajset-575	394	19	function	function	NOUN
ajset-575	394	20	of	of	ADP
ajset-575	394	21	the	the	DET
ajset-575	394	22	traveling	travel	VERB
ajset-575	394	23	rw	rw	NOUN
ajset-575	394	24	must	must	AUX
ajset-575	394	25	be	be	AUX
ajset-575	394	26	defined	define	VERB
ajset-575	394	27	as	as	ADP
ajset-575	394	28	:	:	PUNCT
ajset-575	394	29	2	2	NUM
ajset-575	394	30	=	=	SYM
ajset-575	394	31	n	n	PRON
ajset-575	394	32	sin	sin	NOUN
ajset-575	394	33	s	s	PROPN
ajset-575	394	34	t	t	NOUN
ajset-575	394	35	11	11	NUM
ajset-575	394	36	.	.	PUNCT
ajset-575	395	1	comparison	comparison	NOUN
ajset-575	395	2	of	of	ADP
ajset-575	395	3	dirac	dirac	NOUN
ajset-575	395	4	matrix	matrix	NOUN
ajset-575	395	5	equation	equation	NOUN
ajset-575	395	6	with	with	ADP
ajset-575	395	7	rotating	rotate	VERB
ajset-575	395	8	wave	wave	NOUN
ajset-575	395	9	vectors	vector	NOUN
ajset-575	395	10	it	it	PRON
ajset-575	395	11	was	be	AUX
ajset-575	395	12	a	a	DET
ajset-575	395	13	busy	busy	ADJ
ajset-575	395	14	time	time	NOUN
ajset-575	395	15	for	for	ADP
ajset-575	395	16	new	new	ADJ
ajset-575	395	17	physics	physics	NOUN
ajset-575	395	18	in	in	ADP
ajset-575	395	19	the	the	DET
ajset-575	395	20	first	first	ADJ
ajset-575	395	21	three	three	NUM
ajset-575	395	22	decades	decade	NOUN
ajset-575	395	23	of	of	ADP
ajset-575	395	24	the	the	DET
ajset-575	395	25	twentieth	twentieth	ADJ
ajset-575	395	26	century	century	NOUN
ajset-575	395	27	.	.	PUNCT
ajset-575	396	1	after	after	ADP
ajset-575	396	2	the	the	DET
ajset-575	396	3	photoelectric	photoelectric	ADJ
ajset-575	396	4	effect	effect	NOUN
ajset-575	396	5	,	,	PUNCT
ajset-575	396	6	relativity	relativity	NOUN
ajset-575	396	7	,	,	PUNCT
ajset-575	396	8	and	and	CCONJ
ajset-575	396	9	bohr	bohr	PROPN
ajset-575	396	10	’s	’s	PART
ajset-575	396	11	atom	atom	NOUN
ajset-575	396	12	,	,	PUNCT
ajset-575	396	13	came	come	VERB
ajset-575	396	14	louis	louis	PROPN
ajset-575	396	15	de	de	PROPN
ajset-575	396	16	broglie	broglie	PROPN
ajset-575	396	17	’s	’s	PART
ajset-575	396	18	insight	insight	NOUN
ajset-575	396	19	in	in	ADP
ajset-575	396	20	1924	1924	NUM
ajset-575	396	21	to	to	PART
ajset-575	396	22	suggest	suggest	VERB
ajset-575	396	23	that	that	SCONJ
ajset-575	396	24	if	if	SCONJ
ajset-575	396	25	light	light	ADJ
ajset-575	396	26	photons	photon	NOUN
ajset-575	396	27	can	can	AUX
ajset-575	396	28	be	be	AUX
ajset-575	396	29	considered	consider	VERB
ajset-575	396	30	as	as	ADP
ajset-575	396	31	particles	particle	NOUN
ajset-575	396	32	as	as	ADV
ajset-575	396	33	well	well	ADV
ajset-575	396	34	as	as	ADP
ajset-575	396	35	waves	wave	NOUN
ajset-575	396	36	,	,	PUNCT
ajset-575	396	37	then	then	ADV
ajset-575	396	38	matter	matter	VERB
ajset-575	396	39	might	might	AUX
ajset-575	396	40	also	also	ADV
ajset-575	396	41	have	have	VERB
ajset-575	396	42	a	a	DET
ajset-575	396	43	wave	wave	NOUN
ajset-575	396	44	nature	nature	NOUN
ajset-575	396	45	and	and	CCONJ
ajset-575	396	46	its	its	PRON
ajset-575	396	47	wave	wave	NOUN
ajset-575	396	48	function	function	NOUN
ajset-575	396	49	must	must	AUX
ajset-575	396	50	comply	comply	VERB
ajset-575	396	51	with	with	ADP
ajset-575	396	52	relativity	relativity	NOUN
ajset-575	396	53	.	.	PUNCT
ajset-575	397	1	later	later	ADV
ajset-575	397	2	in	in	ADP
ajset-575	397	3	1924	1924	NUM
ajset-575	397	4	wolfgang	wolfgang	PROPN
ajset-575	397	5	pauli	pauli	PROPN
ajset-575	397	6	suggested	suggest	VERB
ajset-575	397	7	an	an	DET
ajset-575	397	8	inner	inner	ADJ
ajset-575	397	9	degree	degree	NOUN
ajset-575	397	10	of	of	ADP
ajset-575	397	11	freedom	freedom	NOUN
ajset-575	397	12	of	of	ADP
ajset-575	397	13	the	the	DET
ajset-575	397	14	electron	electron	NOUN
ajset-575	397	15	,	,	PUNCT
ajset-575	397	16	followed	follow	VERB
ajset-575	397	17	by	by	ADP
ajset-575	397	18	ralph	ralph	PROPN
ajset-575	397	19	kroenig	kroenig	PROPN
ajset-575	397	20	and	and	CCONJ
ajset-575	397	21	then	then	ADV
ajset-575	397	22	in	in	ADP
ajset-575	397	23	1925	1925	NUM
ajset-575	397	24	george	george	PROPN
ajset-575	397	25	s.	s.	PROPN
ajset-575	397	26	uhlenbeck	uhlenbeck	PROPN
ajset-575	397	27	and	and	CCONJ
ajset-575	397	28	samuel	samuel	PROPN
ajset-575	397	29	e.	e.	PROPN
ajset-575	397	30	goudsmit	goudsmit	PROPN
ajset-575	397	31	had	have	AUX
ajset-575	397	32	theorized	theorize	VERB
ajset-575	397	33	that	that	SCONJ
ajset-575	397	34	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	397	35	academic	academic	ADJ
ajset-575	397	36	journal	journal	NOUN
ajset-575	397	37	of	of	ADP
ajset-575	397	38	science	science	NOUN
ajset-575	397	39	,	,	PUNCT
ajset-575	397	40	engineering	engineering	NOUN
ajset-575	397	41	and	and	CCONJ
ajset-575	397	42	technology	technology	NOUN
ajset-575	397	43	vol.6	vol.6	PROPN
ajset-575	397	44	,	,	PUNCT
ajset-575	397	45	issue	issue	NOUN
ajset-575	397	46	1	1	NUM
ajset-575	397	47	;	;	PUNCT
ajset-575	397	48	january	january	PROPN
ajset-575	397	49	febuary	febuary	PROPN
ajset-575	397	50	2021	2021	NUM
ajset-575	397	51	;	;	PUNCT
ajset-575	397	52	1252	1252	NUM
ajset-575	397	53	columbia	columbia	PROPN
ajset-575	397	54	rd	rd	PROPN
ajset-575	397	55	nw	nw	PROPN
ajset-575	397	56	,	,	PUNCT
ajset-575	397	57	washington	washington	PROPN
ajset-575	397	58	dc	dc	PROPN
ajset-575	397	59	,	,	PUNCT
ajset-575	397	60	united	united	PROPN
ajset-575	397	61	states	states	PROPN
ajset-575	397	62	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	397	63	;	;	PUNCT
ajset-575	397	64	mail	mail	NOUN
ajset-575	397	65	:	:	PUNCT
ajset-575	397	66	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	397	67	67	67	NUM
ajset-575	398	1	|	|	ADV
ajset-575	398	2	a	a	DET
ajset-575	398	3	c	c	NOUN
ajset-575	398	4	a	a	PRON
ajset-575	398	5	d	d	X
ajset-575	398	6	e	e	NOUN
ajset-575	398	7	m	m	NOUN
ajset-575	398	8	i	i	NOUN
ajset-575	398	9	c	c	NOUN
ajset-575	398	10	j	j	NOUN
ajset-575	398	11	o	o	X
ajset-575	398	12	u	u	NOUN
ajset-575	398	13	r	r	NOUN
ajset-575	398	14	n	n	NOUN
ajset-575	398	15	a	a	DET
ajset-575	398	16	l	l	NOUN
ajset-575	399	1	o	o	X
ajset-575	399	2	f	f	X
ajset-575	399	3	s	s	X
ajset-575	399	4	c	c	NOUN
ajset-575	400	1	i	i	NOUN
ajset-575	400	2	e	e	PROPN
ajset-575	400	3	n	n	PROPN
ajset-575	400	4	c	c	NOUN
ajset-575	400	5	e	e	X
ajset-575	400	6	,	,	PUNCT
ajset-575	400	7	e	e	PROPN
ajset-575	400	8	n	n	PRON
ajset-575	400	9	g	g	NOUN
ajset-575	400	10	i	i	PRON
ajset-575	400	11	n	n	VERB
ajset-575	400	12	e	e	NOUN
ajset-575	400	13	e	e	NOUN
ajset-575	400	14	r	r	VERB
ajset-575	400	15	i	i	PRON
ajset-575	400	16	n	n	CCONJ
ajset-575	400	17	g	g	PROPN
ajset-575	400	18	a	a	DET
ajset-575	400	19	n	n	NOUN
ajset-575	400	20	d	d	NOUN
ajset-575	400	21	t	t	NOUN
ajset-575	400	22	e	e	X
ajset-575	400	23	c	c	NOUN
ajset-575	400	24	h	h	NOUN
ajset-575	400	25	n	n	ADV
ajset-575	400	26	o	o	NOUN
ajset-575	400	27	l	l	NOUN
ajset-575	401	1	o	o	X
ajset-575	401	2	g	g	NOUN
ajset-575	401	3	y	y	PROPN
ajset-575	401	4	|	|	ADV
ajset-575	401	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	401	6	the	the	DET
ajset-575	401	7	electron	electron	NOUN
ajset-575	401	8	must	must	AUX
ajset-575	401	9	have	have	VERB
ajset-575	401	10	an	an	DET
ajset-575	401	11	inner	inner	ADJ
ajset-575	401	12	rotational	rotational	ADJ
ajset-575	401	13	motion	motion	NOUN
ajset-575	401	14	(	(	PUNCT
ajset-575	401	15	later	later	ADV
ajset-575	401	16	termed	term	VERB
ajset-575	401	17	“	"	PUNCT
ajset-575	401	18	spin	spin	NOUN
ajset-575	401	19	”	"	PUNCT
ajset-575	401	20	by	by	ADP
ajset-575	401	21	pauli	pauli	PROPN
ajset-575	401	22	)	)	PUNCT
ajset-575	401	23	in	in	ADP
ajset-575	401	24	order	order	NOUN
ajset-575	401	25	to	to	PART
ajset-575	401	26	have	have	AUX
ajset-575	401	27	an	an	DET
ajset-575	401	28	associated	associated	ADJ
ajset-575	401	29	magnetic	magnetic	ADJ
ajset-575	401	30	moment	moment	NOUN
ajset-575	401	31	and	and	CCONJ
ajset-575	401	32	thus	thus	ADV
ajset-575	401	33	explain	explain	VERB
ajset-575	401	34	spectroscopic	spectroscopic	ADJ
ajset-575	401	35	evidence	evidence	NOUN
ajset-575	401	36	.	.	PUNCT
ajset-575	402	1	hans	hans	PROPN
ajset-575	402	2	c.	c.	PROPN
ajset-575	402	3	ohanian	ohanian	PROPN
ajset-575	402	4	in	in	ADP
ajset-575	402	5	his	his	PRON
ajset-575	402	6	review	review	NOUN
ajset-575	402	7	(	(	PUNCT
ajset-575	402	8	what	what	PRON
ajset-575	402	9	is	be	AUX
ajset-575	402	10	spin	spin	NOUN
ajset-575	402	11	?	?	PUNCT
ajset-575	402	12	)	)	PUNCT
ajset-575	403	1	[	[	X
ajset-575	403	2	1	1	X
ajset-575	403	3	]	]	PUNCT
ajset-575	403	4	states	state	VERB
ajset-575	403	5	it	it	PRON
ajset-575	403	6	apparently	apparently	ADV
ajset-575	403	7	was	be	AUX
ajset-575	403	8	immediately	immediately	ADV
ajset-575	403	9	recognized	recognize	VERB
ajset-575	403	10	by	by	ADP
ajset-575	403	11	goudsmit	goudsmit	NOUN
ajset-575	403	12	and	and	CCONJ
ajset-575	403	13	uhlenbeck	uhlenbeck	NOUN
ajset-575	403	14	that	that	DET
ajset-575	403	15	spin	spin	NOUN
ajset-575	403	16	would	would	AUX
ajset-575	403	17	very	very	ADV
ajset-575	403	18	likely	likely	ADV
ajset-575	403	19	lead	lead	VERB
ajset-575	403	20	to	to	ADP
ajset-575	403	21	serious	serious	ADJ
ajset-575	403	22	problems	problem	NOUN
ajset-575	403	23	with	with	ADP
ajset-575	403	24	special	special	ADJ
ajset-575	403	25	relativity	relativity	NOUN
ajset-575	403	26	”	"	PUNCT
ajset-575	403	27	.	.	PUNCT
ajset-575	404	1	however	however	ADV
ajset-575	404	2	,	,	PUNCT
ajset-575	404	3	much	much	ADJ
ajset-575	404	4	concentration	concentration	NOUN
ajset-575	404	5	at	at	ADP
ajset-575	404	6	the	the	DET
ajset-575	404	7	time	time	NOUN
ajset-575	404	8	was	be	AUX
ajset-575	404	9	on	on	ADP
ajset-575	404	10	the	the	DET
ajset-575	404	11	developing	develop	VERB
ajset-575	404	12	quantum	quantum	ADJ
ajset-575	404	13	mechanics	mechanic	NOUN
ajset-575	404	14	and	and	CCONJ
ajset-575	404	15	classical	classical	ADJ
ajset-575	404	16	concepts	concept	NOUN
ajset-575	404	17	were	be	AUX
ajset-575	404	18	deemed	deem	VERB
ajset-575	404	19	insufficient	insufficient	ADJ
ajset-575	404	20	to	to	PART
ajset-575	404	21	describe	describe	VERB
ajset-575	404	22	the	the	DET
ajset-575	404	23	macroscopic	macroscopic	ADJ
ajset-575	404	24	world	world	NOUN
ajset-575	404	25	.	.	PUNCT
ajset-575	405	1	then	then	ADV
ajset-575	405	2	in	in	ADP
ajset-575	405	3	1926	1926	NUM
ajset-575	405	4	schrödinger	schrödinger	NOUN
ajset-575	405	5	really	really	ADV
ajset-575	405	6	started	start	VERB
ajset-575	405	7	quantum	quantum	ADJ
ajset-575	405	8	mechanics	mechanic	NOUN
ajset-575	405	9	with	with	ADP
ajset-575	405	10	his	his	PRON
ajset-575	405	11	wave	wave	NOUN
ajset-575	405	12	equation	equation	NOUN
ajset-575	405	13	and	and	CCONJ
ajset-575	405	14	had	have	AUX
ajset-575	405	15	then	then	ADV
ajset-575	405	16	tried	try	VERB
ajset-575	405	17	to	to	PART
ajset-575	405	18	further	further	VERB
ajset-575	405	19	it	it	PRON
ajset-575	405	20	with	with	ADP
ajset-575	405	21	relativity	relativity	NOUN
ajset-575	405	22	,	,	PUNCT
ajset-575	405	23	but	but	CCONJ
ajset-575	405	24	did	do	AUX
ajset-575	405	25	not	not	PART
ajset-575	405	26	derive	derive	VERB
ajset-575	405	27	electron	electron	NOUN
ajset-575	405	28	spin	spin	NOUN
ajset-575	405	29	.	.	PUNCT
ajset-575	406	1	also	also	ADV
ajset-575	406	2	,	,	PUNCT
ajset-575	406	3	pauli	pauli	PROPN
ajset-575	406	4	knew	know	VERB
ajset-575	406	5	that	that	SCONJ
ajset-575	406	6	the	the	DET
ajset-575	406	7	spin	spin	NOUN
ajset-575	406	8	of	of	ADP
ajset-575	406	9	a	a	DET
ajset-575	406	10	rotating	rotate	VERB
ajset-575	406	11	body	body	NOUN
ajset-575	406	12	could	could	AUX
ajset-575	406	13	be	be	AUX
ajset-575	406	14	described	describe	VERB
ajset-575	406	15	by	by	ADP
ajset-575	406	16	matrices	matrix	NOUN
ajset-575	406	17	and	and	CCONJ
ajset-575	406	18	hence	hence	ADV
ajset-575	406	19	introduced	introduce	VERB
ajset-575	406	20	matrices	matrix	NOUN
ajset-575	406	21	into	into	ADP
ajset-575	406	22	the	the	DET
ajset-575	406	23	wave	wave	NOUN
ajset-575	406	24	equation	equation	NOUN
ajset-575	406	25	,	,	PUNCT
ajset-575	406	26	which	which	PRON
ajset-575	406	27	in	in	ADP
ajset-575	406	28	turn	turn	NOUN
ajset-575	406	29	suggested	suggest	VERB
ajset-575	406	30	pairs	pair	NOUN
ajset-575	406	31	of	of	ADP
ajset-575	406	32	opposite	opposite	ADJ
ajset-575	406	33	spins	spin	NOUN
ajset-575	406	34	of	of	ADP
ajset-575	406	35	the	the	DET
ajset-575	406	36	electron	electron	NOUN
ajset-575	406	37	.	.	PUNCT
ajset-575	407	1	knowing	know	VERB
ajset-575	407	2	that	that	SCONJ
ajset-575	407	3	the	the	DET
ajset-575	407	4	light	light	ADJ
ajset-575	407	5	wave	wave	NOUN
ajset-575	407	6	can	can	AUX
ajset-575	407	7	have	have	VERB
ajset-575	407	8	two	two	NUM
ajset-575	407	9	possible	possible	ADJ
ajset-575	407	10	directions	direction	NOUN
ajset-575	407	11	of	of	ADP
ajset-575	407	12	polarization	polarization	NOUN
ajset-575	407	13	,	,	PUNCT
ajset-575	407	14	c.g	c.g	PROPN
ajset-575	407	15	.	.	PROPN
ajset-575	407	16	darwin	darwin	PROPN
ajset-575	407	17	suggested	suggest	VERB
ajset-575	407	18	that	that	SCONJ
ajset-575	407	19	the	the	DET
ajset-575	407	20	electron	electron	NOUN
ajset-575	407	21	might	might	AUX
ajset-575	407	22	also	also	ADV
ajset-575	407	23	have	have	VERB
ajset-575	407	24	two	two	NUM
ajset-575	407	25	opposite	opposite	ADJ
ajset-575	407	26	polarizations	polarization	NOUN
ajset-575	407	27	which	which	PRON
ajset-575	407	28	then	then	ADV
ajset-575	407	29	yielded	yield	VERB
ajset-575	407	30	the	the	DET
ajset-575	407	31	correct	correct	ADJ
ajset-575	407	32	fine	fine	ADJ
ajset-575	407	33	structure	structure	NOUN
ajset-575	407	34	of	of	ADP
ajset-575	407	35	the	the	DET
ajset-575	407	36	hydrogen	hydrogen	NOUN
ajset-575	407	37	spectrum	spectrum	NOUN
ajset-575	407	38	.	.	PUNCT
ajset-575	408	1	it	it	PRON
ajset-575	408	2	was	be	AUX
ajset-575	408	3	paul	paul	PROPN
ajset-575	408	4	a.m.	a.m.	PROPN
ajset-575	408	5	dirac	dirac	PROPN
ajset-575	408	6	who	who	PRON
ajset-575	408	7	in	in	ADP
ajset-575	408	8	1928	1928	NUM
ajset-575	408	9	then	then	ADV
ajset-575	408	10	used	use	VERB
ajset-575	408	11	the	the	DET
ajset-575	408	12	matrices	matrix	NOUN
ajset-575	408	13	to	to	PART
ajset-575	408	14	combine	combine	VERB
ajset-575	408	15	the	the	DET
ajset-575	408	16	special	special	ADJ
ajset-575	408	17	theory	theory	NOUN
ajset-575	408	18	of	of	ADP
ajset-575	408	19	relativity	relativity	NOUN
ajset-575	408	20	with	with	ADP
ajset-575	408	21	wave	wave	NOUN
ajset-575	408	22	mechanics	mechanic	NOUN
ajset-575	408	23	and	and	CCONJ
ajset-575	408	24	naturally	naturally	ADV
ajset-575	408	25	derived	derive	VERB
ajset-575	408	26	electron	electron	NOUN
ajset-575	408	27	spin	spin	NOUN
ajset-575	408	28	.	.	PUNCT
ajset-575	409	1	however	however	ADV
ajset-575	409	2	in	in	ADP
ajset-575	409	3	his	his	PRON
ajset-575	409	4	“	"	PUNCT
ajset-575	409	5	quantum	quantum	ADJ
ajset-575	409	6	theory	theory	NOUN
ajset-575	409	7	of	of	ADP
ajset-575	409	8	the	the	DET
ajset-575	409	9	electron	electron	NOUN
ajset-575	409	10	”	"	PUNCT
ajset-575	409	11	[	[	X
ajset-575	409	12	2	2	NUM
ajset-575	409	13	]	]	PUNCT
ajset-575	409	14	,	,	PUNCT
ajset-575	409	15	dirac	dirac	NOUN
ajset-575	409	16	further	far	ADV
ajset-575	409	17	clearly	clearly	ADV
ajset-575	409	18	credits	credit	VERB
ajset-575	409	19	gordon	gordon	PROPN
ajset-575	409	20	(	(	PUNCT
ajset-575	409	21	and	and	CCONJ
ajset-575	409	22	thus	thus	ADV
ajset-575	409	23	klein	klein	PROPN
ajset-575	409	24	)	)	PUNCT
ajset-575	409	25	for	for	ADP
ajset-575	409	26	suggesting	suggest	VERB
ajset-575	409	27	that	that	SCONJ
ajset-575	409	28	the	the	DET
ajset-575	409	29	time	time	NOUN
ajset-575	409	30	derivative	derivative	ADJ
ajset-575	409	31	operator	operator	NOUN
ajset-575	409	32	for	for	ADP
ajset-575	409	33	the	the	DET
ajset-575	409	34	relativistic	relativistic	ADJ
ajset-575	409	35	hamiltonian	hamiltonian	NOUN
ajset-575	409	36	w	w	PROPN
ajset-575	409	37	=	=	SYM
ajset-575	409	38	ih	ih	PROPN
ajset-575	409	39	/	/	SYM
ajset-575	409	40	t	t	PROPN
ajset-575	409	41	should	should	AUX
ajset-575	409	42	be	be	AUX
ajset-575	409	43	linear	linear	ADJ
ajset-575	409	44	in	in	ADP
ajset-575	409	45	the	the	DET
ajset-575	409	46	first	first	ADJ
ajset-575	409	47	order	order	NOUN
ajset-575	409	48	(	(	PUNCT
ajset-575	409	49	and	and	CCONJ
ajset-575	409	50	likewise	likewise	ADV
ajset-575	409	51	the	the	DET
ajset-575	409	52	momentum	momentum	NOUN
ajset-575	409	53	operator	operator	NOUN
ajset-575	409	54	pr	pr	NOUN
ajset-575	409	55	=	=	PUNCT
ajset-575	409	56	ih	ih	PROPN
ajset-575	409	57	/	/	SYM
ajset-575	409	58	xr	xr	PROPN
ajset-575	409	59	)	)	PUNCT
ajset-575	409	60	,	,	PUNCT
ajset-575	409	61	just	just	ADV
ajset-575	409	62	as	as	ADP
ajset-575	409	63	in	in	ADP
ajset-575	409	64	the	the	DET
ajset-575	409	65	case	case	NOUN
ajset-575	409	66	of	of	ADP
ajset-575	409	67	the	the	DET
ajset-575	409	68	non	non	ADJ
ajset-575	409	69	-	-	ADJ
ajset-575	409	70	relativistic	relativistic	ADJ
ajset-575	409	71	wave	wave	NOUN
ajset-575	409	72	equation	equation	NOUN
ajset-575	409	73	.	.	PUNCT
ajset-575	410	1	quoted	quote	VERB
ajset-575	410	2	from	from	ADP
ajset-575	410	3	p.a.m	p.a.m	PROPN
ajset-575	410	4	.	.	PUNCT
ajset-575	410	5	dirac	dirac	PROPN
ajset-575	410	6	:	:	PUNCT
ajset-575	410	7	what	what	PRON
ajset-575	410	8	is	be	AUX
ajset-575	410	9	the	the	DET
ajset-575	410	10	probability	probability	NOUN
ajset-575	410	11	of	of	ADP
ajset-575	410	12	any	any	DET
ajset-575	410	13	dynamical	dynamical	ADJ
ajset-575	410	14	variable	variable	NOUN
ajset-575	410	15	at	at	ADP
ajset-575	410	16	any	any	DET
ajset-575	410	17	specified	specified	ADJ
ajset-575	410	18	time	time	NOUN
ajset-575	410	19	having	have	VERB
ajset-575	410	20	a	a	DET
ajset-575	410	21	value	value	NOUN
ajset-575	410	22	lying	lie	VERB
ajset-575	410	23	between	between	ADP
ajset-575	410	24	any	any	DET
ajset-575	410	25	specified	specified	ADJ
ajset-575	410	26	limits	limit	NOUN
ajset-575	410	27	,	,	PUNCT
ajset-575	410	28	when	when	SCONJ
ajset-575	410	29	the	the	DET
ajset-575	410	30	system	system	NOUN
ajset-575	410	31	is	be	AUX
ajset-575	410	32	represented	represent	VERB
ajset-575	410	33	by	by	ADP
ajset-575	410	34	a	a	DET
ajset-575	410	35	given	give	VERB
ajset-575	410	36	wave	wave	NOUN
ajset-575	410	37	function	function	NOUN
ajset-575	410	38	n	n	NOUN
ajset-575	410	39	.	.	PUNCT
ajset-575	411	1	the	the	DET
ajset-575	411	2	gordon	gordon	PROPN
ajset-575	411	3	-	-	PUNCT
ajset-575	411	4	klein	klein	PROPN
ajset-575	411	5	interpretation	interpretation	NOUN
ajset-575	411	6	can	can	AUX
ajset-575	411	7	answer	answer	VERB
ajset-575	411	8	such	such	ADJ
ajset-575	411	9	questions	question	NOUN
ajset-575	411	10	if	if	SCONJ
ajset-575	411	11	they	they	PRON
ajset-575	411	12	refer	refer	VERB
ajset-575	411	13	to	to	ADP
ajset-575	411	14	the	the	DET
ajset-575	411	15	position	position	NOUN
ajset-575	411	16	of	of	ADP
ajset-575	411	17	the	the	DET
ajset-575	411	18	electron	electron	NOUN
ajset-575	411	19	(	(	PUNCT
ajset-575	411	20	by	by	ADP
ajset-575	411	21	use	use	NOUN
ajset-575	411	22	of	of	ADP
ajset-575	411	23	nm	nm	NOUN
ajset-575	411	24	)	)	PUNCT
ajset-575	411	25	,	,	PUNCT
ajset-575	411	26	but	but	CCONJ
ajset-575	411	27	not	not	PART
ajset-575	411	28	if	if	SCONJ
ajset-575	411	29	they	they	PRON
ajset-575	411	30	refer	refer	VERB
ajset-575	411	31	to	to	ADP
ajset-575	411	32	its	its	PRON
ajset-575	411	33	momentum	momentum	NOUN
ajset-575	411	34	,	,	PUNCT
ajset-575	411	35	or	or	CCONJ
ajset-575	411	36	angular	angular	ADJ
ajset-575	411	37	momentum	momentum	NOUN
ajset-575	411	38	or	or	CCONJ
ajset-575	411	39	any	any	DET
ajset-575	411	40	other	other	ADJ
ajset-575	411	41	dynamical	dynamical	ADJ
ajset-575	411	42	variable	variable	NOUN
ajset-575	411	43	.	.	PUNCT
ajset-575	412	1	we	we	PRON
ajset-575	412	2	should	should	AUX
ajset-575	412	3	expect	expect	VERB
ajset-575	412	4	the	the	DET
ajset-575	412	5	interpretation	interpretation	NOUN
ajset-575	412	6	of	of	ADP
ajset-575	412	7	the	the	DET
ajset-575	412	8	relativity	relativity	NOUN
ajset-575	412	9	theory	theory	NOUN
ajset-575	412	10	to	to	PART
ajset-575	412	11	be	be	AUX
ajset-575	412	12	just	just	ADV
ajset-575	412	13	as	as	ADV
ajset-575	412	14	general	general	ADJ
ajset-575	412	15	as	as	ADP
ajset-575	412	16	that	that	PRON
ajset-575	412	17	of	of	ADP
ajset-575	412	18	the	the	DET
ajset-575	412	19	non	non	ADJ
ajset-575	412	20	-	-	ADJ
ajset-575	412	21	relativity	relativity	NOUN
ajset-575	412	22	theory	theory	NOUN
ajset-575	412	23	.	.	PUNCT
ajset-575	413	1	thus	thus	ADV
ajset-575	413	2	dirac	dirac	NOUN
ajset-575	413	3	got	get	VERB
ajset-575	413	4	the	the	DET
ajset-575	413	5	idea	idea	NOUN
ajset-575	413	6	to	to	PART
ajset-575	413	7	factorize	factorize	VERB
ajset-575	413	8	the	the	DET
ajset-575	413	9	relativistic	relativistic	ADJ
ajset-575	413	10	wave	wave	NOUN
ajset-575	413	11	equation	equation	NOUN
ajset-575	413	12	in	in	ADP
ajset-575	413	13	order	order	NOUN
ajset-575	413	14	to	to	PART
ajset-575	413	15	get	get	VERB
ajset-575	413	16	the	the	DET
ajset-575	413	17	first	first	ADJ
ajset-575	413	18	order	order	NOUN
ajset-575	413	19	derivative	derivative	ADJ
ajset-575	413	20	operators	operator	NOUN
ajset-575	413	21	which	which	PRON
ajset-575	413	22	then	then	ADV
ajset-575	413	23	suggested	suggest	VERB
ajset-575	413	24	a	a	DET
ajset-575	413	25	positive	positive	ADJ
ajset-575	413	26	charge	charge	NOUN
ajset-575	413	27	(	(	PUNCT
ajset-575	413	28	positron	positron	NOUN
ajset-575	413	29	later	later	ADV
ajset-575	413	30	discovered	discover	VERB
ajset-575	413	31	)	)	PUNCT
ajset-575	413	32	as	as	ADV
ajset-575	413	33	well	well	ADV
ajset-575	413	34	as	as	ADP
ajset-575	413	35	the	the	DET
ajset-575	413	36	electron	electron	NOUN
ajset-575	413	37	.	.	PUNCT
ajset-575	414	1	again	again	ADV
ajset-575	414	2	quoted	quote	VERB
ajset-575	414	3	from	from	ADP
ajset-575	414	4	p.a.m	p.a.m	PROPN
ajset-575	414	5	.	.	PUNCT
ajset-575	414	6	dirac	dirac	PROPN
ajset-575	414	7	:	:	PUNCT
ajset-575	414	8	the	the	DET
ajset-575	414	9	true	true	ADJ
ajset-575	414	10	relativity	relativity	NOUN
ajset-575	414	11	equation	equation	NOUN
ajset-575	414	12	should	should	AUX
ajset-575	414	13	thus	thus	ADV
ajset-575	414	14	be	be	AUX
ajset-575	414	15	such	such	ADJ
ajset-575	414	16	that	that	SCONJ
ajset-575	414	17	its	its	PRON
ajset-575	414	18	solutions	solution	NOUN
ajset-575	414	19	split	split	VERB
ajset-575	414	20	up	up	ADP
ajset-575	414	21	into	into	ADP
ajset-575	414	22	two	two	NUM
ajset-575	414	23	non	non	ADJ
ajset-575	414	24	-	-	ADJ
ajset-575	414	25	combining	combining	ADJ
ajset-575	414	26	sets	set	NOUN
ajset-575	414	27	,	,	PUNCT
ajset-575	414	28	referring	refer	VERB
ajset-575	414	29	respectively	respectively	ADV
ajset-575	414	30	to	to	ADP
ajset-575	414	31	the	the	DET
ajset-575	414	32	charge	charge	NOUN
ajset-575	414	33	e	e	NOUN
ajset-575	414	34	and	and	CCONJ
ajset-575	414	35	the	the	DET
ajset-575	414	36	charge	charge	NOUN
ajset-575	414	37	e.	e.	PROPN
ajset-575	414	38	11.1	11.1	NUM
ajset-575	414	39	derivation	derivation	NOUN
ajset-575	414	40	of	of	ADP
ajset-575	414	41	dirac	dirac	NOUN
ajset-575	414	42	’s	’s	PART
ajset-575	414	43	matrix	matrix	NOUN
ajset-575	414	44	/	/	SYM
ajset-575	414	45	wave	wave	NOUN
ajset-575	414	46	equations	equation	NOUN
ajset-575	414	47	dirac	dirac	PROPN
ajset-575	414	48	first	first	ADV
ajset-575	414	49	considers	consider	VERB
ajset-575	414	50	the	the	DET
ajset-575	414	51	case	case	NOUN
ajset-575	414	52	of	of	ADP
ajset-575	414	53	no	no	DET
ajset-575	414	54	field	field	NOUN
ajset-575	414	55	present	present	ADJ
ajset-575	414	56	and	and	CCONJ
ajset-575	414	57	and	and	CCONJ
ajset-575	414	58	posits	posit	VERB
ajset-575	414	59	the	the	DET
ajset-575	414	60	form	form	NOUN
ajset-575	414	61	of	of	ADP
ajset-575	414	62	the	the	DET
ajset-575	414	63	four	four	NUM
ajset-575	414	64	dimensional	dimensional	ADJ
ajset-575	414	65	wave	wave	NOUN
ajset-575	414	66	equation	equation	NOUN
ajset-575	414	67	(	(	PUNCT
ajset-575	414	68	p0	p0	NOUN
ajset-575	414	69	1p1	1p1	NUM
ajset-575	414	70	2	2	NUM
ajset-575	414	71	p2	p2	PROPN
ajset-575	414	72	3	3	NUM
ajset-575	414	73	p3	p3	NOUN
ajset-575	414	74	)	)	PUNCT
ajset-575	415	1	=	=	PUNCT
ajset-575	415	2	0	0	X
ajset-575	415	3	.	.	PUNCT
ajset-575	416	1	this	this	PRON
ajset-575	416	2	is	be	AUX
ajset-575	416	3	the	the	DET
ajset-575	416	4	same	same	ADJ
ajset-575	416	5	as	as	ADP
ajset-575	416	6	dirac	dirac	NOUN
ajset-575	416	7	[	[	X
ajset-575	416	8	2	2	NUM
ajset-575	416	9	]	]	PUNCT
ajset-575	416	10	eqn	eqn	NOUN
ajset-575	416	11	4	4	NUM
ajset-575	416	12	.	.	NOUN
ajset-575	416	13	which	which	PRON
ajset-575	416	14	we	we	PRON
ajset-575	416	15	shall	shall	AUX
ajset-575	416	16	refer	refer	VERB
ajset-575	416	17	to	to	ADP
ajset-575	416	18	as	as	ADP
ajset-575	416	19	d4	d4	PROPN
ajset-575	416	20	.	.	PUNCT
ajset-575	417	1	then	then	ADV
ajset-575	417	2	he	he	PRON
ajset-575	417	3	multiplies	multiply	VERB
ajset-575	417	4	the	the	DET
ajset-575	417	5	conjugate	conjugate	NOUN
ajset-575	417	6	(	(	PUNCT
ajset-575	417	7	with	with	ADP
ajset-575	417	8	minus	minus	CCONJ
ajset-575	417	9	p	p	NOUN
ajset-575	417	10	0	0	NUM
ajset-575	417	11	)	)	PUNCT
ajset-575	417	12	and	and	CCONJ
ajset-575	417	13	the	the	DET
ajset-575	417	14	non	non	ADJ
ajset-575	417	15	-	-	ADJ
ajset-575	417	16	conjugate	conjugate	ADJ
ajset-575	417	17	in	in	ADP
ajset-575	417	18	his	his	PRON
ajset-575	417	19	equation	equation	NOUN
ajset-575	417	20	[	[	X
ajset-575	417	21	2	2	NUM
ajset-575	417	22	]	]	X
ajset-575	417	23	d5	d5	NOUN
ajset-575	417	24	,	,	PUNCT
ajset-575	417	25	0	0	NUM
ajset-575	417	26	=	=	SYM
ajset-575	417	27	(	(	PUNCT
ajset-575	417	28	p0	p0	NOUN
ajset-575	417	29	1p1	1p1	NUM
ajset-575	417	30	2	2	NUM
ajset-575	417	31	p2	p2	PROPN
ajset-575	417	32	3	3	NUM
ajset-575	417	33	p3	p3	PROPN
ajset-575	417	34	)	)	PUNCT
ajset-575	417	35	(	(	PUNCT
ajset-575	417	36	p0	p0	NOUN
ajset-575	417	37	1p1	1p1	NUM
ajset-575	417	38	2	2	NUM
ajset-575	417	39	p2	p2	PROPN
ajset-575	417	40	3	3	NUM
ajset-575	417	41	p3	p3	PROPN
ajset-575	417	42	)	)	PUNCT
ajset-575	417	43	(	(	PUNCT
ajset-575	417	44	37	37	NUM
ajset-575	417	45	)	)	PUNCT
ajset-575	417	46	to	to	PART
ajset-575	417	47	get	get	VERB
ajset-575	417	48	the	the	DET
ajset-575	417	49	required	require	VERB
ajset-575	417	50	equation	equation	NOUN
ajset-575	417	51	(	(	PUNCT
ajset-575	417	52	d3	d3	PROPN
ajset-575	417	53	)	)	PUNCT
ajset-575	417	54	with	with	ADP
ajset-575	417	55	no	no	DET
ajset-575	417	56	field	field	NOUN
ajset-575	417	57	present	present	ADJ
ajset-575	417	58	:	:	PUNCT
ajset-575	417	59	(	(	PUNCT
ajset-575	417	60	vectors	vector	NOUN
ajset-575	417	61	in	in	ADP
ajset-575	417	62	bold	bold	ADJ
ajset-575	417	63	):	):	PUNCT
ajset-575	417	64	0	0	PUNCT
ajset-575	418	1	=	=	SYM
ajset-575	418	2	(	(	PUNCT
ajset-575	418	3	p0	p0	NOUN
ajset-575	418	4	2	2	NUM
ajset-575	418	5	p2	p2	NOUN
ajset-575	418	6	m2c2	m2c2	X
ajset-575	418	7	)	)	PUNCT
ajset-575	418	8	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	418	9	academic	academic	ADJ
ajset-575	418	10	journal	journal	NOUN
ajset-575	418	11	of	of	ADP
ajset-575	418	12	science	science	NOUN
ajset-575	418	13	,	,	PUNCT
ajset-575	418	14	engineering	engineering	NOUN
ajset-575	418	15	and	and	CCONJ
ajset-575	418	16	technology	technology	NOUN
ajset-575	418	17	vol.6	vol.6	PROPN
ajset-575	418	18	,	,	PUNCT
ajset-575	418	19	issue	issue	NOUN
ajset-575	418	20	1	1	NUM
ajset-575	418	21	;	;	PUNCT
ajset-575	418	22	january	january	PROPN
ajset-575	418	23	febuary	febuary	PROPN
ajset-575	418	24	2021	2021	NUM
ajset-575	418	25	;	;	PUNCT
ajset-575	418	26	1252	1252	NUM
ajset-575	418	27	columbia	columbia	PROPN
ajset-575	418	28	rd	rd	PROPN
ajset-575	418	29	nw	nw	PROPN
ajset-575	418	30	,	,	PUNCT
ajset-575	418	31	washington	washington	PROPN
ajset-575	418	32	dc	dc	PROPN
ajset-575	418	33	,	,	PUNCT
ajset-575	418	34	united	united	PROPN
ajset-575	418	35	states	states	PROPN
ajset-575	418	36	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	418	37	;	;	PUNCT
ajset-575	418	38	mail	mail	NOUN
ajset-575	418	39	:	:	PUNCT
ajset-575	418	40	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	419	1	68	68	NUM
ajset-575	420	1	|	|	ADV
ajset-575	420	2	a	a	DET
ajset-575	420	3	c	c	NOUN
ajset-575	420	4	a	a	PRON
ajset-575	420	5	d	d	X
ajset-575	420	6	e	e	NOUN
ajset-575	420	7	m	m	NOUN
ajset-575	420	8	i	i	NOUN
ajset-575	420	9	c	c	NOUN
ajset-575	420	10	j	j	NOUN
ajset-575	420	11	o	o	X
ajset-575	420	12	u	u	NOUN
ajset-575	420	13	r	r	NOUN
ajset-575	420	14	n	n	NOUN
ajset-575	420	15	a	a	DET
ajset-575	420	16	l	l	NOUN
ajset-575	421	1	o	o	X
ajset-575	421	2	f	f	X
ajset-575	421	3	s	s	X
ajset-575	421	4	c	c	NOUN
ajset-575	422	1	i	i	NOUN
ajset-575	422	2	e	e	PROPN
ajset-575	422	3	n	n	PROPN
ajset-575	422	4	c	c	NOUN
ajset-575	422	5	e	e	X
ajset-575	422	6	,	,	PUNCT
ajset-575	422	7	e	e	PROPN
ajset-575	422	8	n	n	PRON
ajset-575	422	9	g	g	NOUN
ajset-575	422	10	i	i	PRON
ajset-575	422	11	n	n	VERB
ajset-575	422	12	e	e	NOUN
ajset-575	422	13	e	e	NOUN
ajset-575	422	14	r	r	VERB
ajset-575	422	15	i	i	PRON
ajset-575	422	16	n	n	CCONJ
ajset-575	422	17	g	g	PROPN
ajset-575	422	18	a	a	DET
ajset-575	422	19	n	n	NOUN
ajset-575	422	20	d	d	NOUN
ajset-575	422	21	t	t	NOUN
ajset-575	422	22	e	e	X
ajset-575	422	23	c	c	NOUN
ajset-575	422	24	h	h	NOUN
ajset-575	422	25	n	n	ADV
ajset-575	422	26	o	o	NOUN
ajset-575	422	27	l	l	NOUN
ajset-575	423	1	o	o	X
ajset-575	423	2	g	g	NOUN
ajset-575	423	3	y	y	PROPN
ajset-575	423	4	|	|	ADV
ajset-575	423	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	423	6	with	with	ADP
ajset-575	423	7	derivative	derivative	ADJ
ajset-575	423	8	operator	operator	NOUN
ajset-575	423	9	:	:	PUNCT
ajset-575	423	10	p0	p0	NOUN
ajset-575	423	11	=	=	NOUN
ajset-575	423	12	w	w	PROPN
ajset-575	423	13	/	/	SYM
ajset-575	423	14	c	c	NOUN
ajset-575	423	15	=	=	SYM
ajset-575	423	16	(	(	PUNCT
ajset-575	423	17	ih	ih	NOUN
ajset-575	423	18	/	/	SYM
ajset-575	423	19	c	c	NOUN
ajset-575	423	20	)	)	PUNCT
ajset-575	423	21	/	/	SYM
ajset-575	423	22	t	t	NOUN
ajset-575	423	23	=	=	SYM
ajset-575	423	24	relativistic	relativistic	ADJ
ajset-575	423	25	hamiltonian	hamiltonian	NOUN
ajset-575	423	26	.	.	PUNCT
ajset-575	424	1	readers	reader	NOUN
ajset-575	424	2	can	can	AUX
ajset-575	424	3	refer	refer	VERB
ajset-575	424	4	to	to	ADP
ajset-575	424	5	the	the	DET
ajset-575	424	6	quantum	quantum	ADJ
ajset-575	424	7	theory	theory	NOUN
ajset-575	424	8	of	of	ADP
ajset-575	424	9	the	the	DET
ajset-575	424	10	electron	electron	PROPN
ajset-575	424	11	/	/	SYM
ajset-575	424	12	pam	pam	PROPN
ajset-575	424	13	dirac	dirac	PROPN
ajset-575	424	14	online	online	PROPN
ajset-575	424	15	.	.	PUNCT
ajset-575	425	1	dirac	dirac	PROPN
ajset-575	425	2	derives	derive	VERB
ajset-575	425	3	the	the	DET
ajset-575	425	4	various	various	ADJ
ajset-575	425	5	matrices	matrix	NOUN
ajset-575	425	6	required	require	VERB
ajset-575	425	7	to	to	PART
ajset-575	425	8	get	get	VERB
ajset-575	425	9	his	his	PRON
ajset-575	425	10	wave	wave	NOUN
ajset-575	425	11	equation	equation	NOUN
ajset-575	425	12	(	(	PUNCT
ajset-575	425	13	d9	d9	PROPN
ajset-575	425	14	):	):	PUNCT
ajset-575	425	15	[	[	X
ajset-575	425	16	p0	p0	NOUN
ajset-575	425	17	1	1	NUM
ajset-575	425	18	(	(	PUNCT
ajset-575	425	19	,	,	PUNCT
ajset-575	425	20	p	p	NOUN
ajset-575	425	21	)	)	PUNCT
ajset-575	425	22	3mc	3mc	NOUN
ajset-575	425	23	]	]	X
ajset-575	426	1	=	=	SYM
ajset-575	426	2	0	0	NUM
ajset-575	426	3	where	where	SCONJ
ajset-575	426	4	denotes	denote	VERB
ajset-575	426	5	the	the	DET
ajset-575	426	6	vector	vector	NOUN
ajset-575	426	7	(	(	PUNCT
ajset-575	426	8	1	1	NUM
ajset-575	426	9	,	,	PUNCT
ajset-575	426	10	2	2	NUM
ajset-575	426	11	,	,	PUNCT
ajset-575	426	12	3	3	NUM
ajset-575	426	13	)	)	PUNCT
ajset-575	426	14	.	.	PUNCT
ajset-575	427	1	finally	finally	ADV
ajset-575	427	2	dirac	dirac	VERB
ajset-575	427	3	considers	consider	VERB
ajset-575	427	4	the	the	DET
ajset-575	427	5	electron	electron	NOUN
ajset-575	427	6	in	in	ADP
ajset-575	427	7	an	an	DET
ajset-575	427	8	electromagnetic	electromagnetic	ADJ
ajset-575	427	9	field	field	NOUN
ajset-575	427	10	and	and	CCONJ
ajset-575	427	11	adds	add	VERB
ajset-575	427	12	in	in	ADP
ajset-575	427	13	the	the	DET
ajset-575	427	14	vector	vector	NOUN
ajset-575	427	15	potential	potential	NOUN
ajset-575	427	16	and	and	CCONJ
ajset-575	427	17	scalar	scalar	ADJ
ajset-575	427	18	in	in	ADP
ajset-575	427	19	his	his	PRON
ajset-575	427	20	equation	equation	NOUN
ajset-575	427	21	(	(	PUNCT
ajset-575	427	22	d14	d14	PROPN
ajset-575	427	23	):	):	PUNCT
ajset-575	427	24	e	e	X
ajset-575	427	25	e	e	X
ajset-575	427	26	[	[	X
ajset-575	427	27	p0	p0	NOUN
ajset-575	427	28	a0	a0	NOUN
ajset-575	427	29	1	1	NUM
ajset-575	427	30	(	(	PUNCT
ajset-575	427	31	,	,	PUNCT
ajset-575	427	32	p	p	NOUN
ajset-575	427	33	a	a	DET
ajset-575	427	34	)	)	PUNCT
ajset-575	427	35	3mc	3mc	NOUN
ajset-575	427	36	]	]	X
ajset-575	428	1	=	=	SYM
ajset-575	428	2	0	0	PUNCT
ajset-575	428	3	c	c	NOUN
ajset-575	428	4	c	c	NOUN
ajset-575	429	1	and	and	CCONJ
ajset-575	429	2	then	then	ADV
ajset-575	429	3	analogous	analogous	ADJ
ajset-575	429	4	to	to	ADP
ajset-575	429	5	his	his	PRON
ajset-575	429	6	equations	equation	NOUN
ajset-575	429	7	(	(	PUNCT
ajset-575	429	8	d3	d3	PROPN
ajset-575	429	9	)	)	PUNCT
ajset-575	429	10	and	and	CCONJ
ajset-575	429	11	(	(	PUNCT
ajset-575	429	12	d5	d5	NOUN
ajset-575	429	13	)	)	PUNCT
ajset-575	429	14	he	he	PRON
ajset-575	429	15	multiplies	multiply	VERB
ajset-575	429	16	the	the	DET
ajset-575	429	17	conjugate	conjugate	NOUN
ajset-575	430	1	[	[	X
ajset-575	430	2	with	with	ADP
ajset-575	430	3	e	e	X
ajset-575	430	4	(	(	PUNCT
ajset-575	430	5	p	p	NOUN
ajset-575	430	6	0	0	NUM
ajset-575	430	7	a	a	DET
ajset-575	430	8	0	0	NUM
ajset-575	430	9	)	)	PUNCT
ajset-575	430	10	]	]	PUNCT
ajset-575	431	1	and	and	CCONJ
ajset-575	431	2	the	the	DET
ajset-575	431	3	non	non	ADJ
ajset-575	431	4	-	-	ADJ
ajset-575	431	5	conjugate	conjugate	ADJ
ajset-575	431	6	in	in	ADP
ajset-575	431	7	his	his	PRON
ajset-575	431	8	equation	equation	NOUN
ajset-575	431	9	(	(	PUNCT
ajset-575	431	10	d15	d15	PROPN
ajset-575	431	11	):	):	PUNCT
ajset-575	431	12	c	c	NOUN
ajset-575	431	13	e	e	X
ajset-575	431	14	e	e	X
ajset-575	431	15	0	0	X
ajset-575	431	16	=	=	SYM
ajset-575	431	17	p0	p0	NOUN
ajset-575	431	18	c	c	PROPN
ajset-575	431	19	a0	a0	PROPN
ajset-575	431	20	1	1	NUM
ajset-575	431	21	,	,	PUNCT
ajset-575	431	22	p	p	X
ajset-575	431	23	c	c	PROPN
ajset-575	431	24	a	a	DET
ajset-575	431	25	3mc	3mc	ADJ
ajset-575	431	26	e	e	X
ajset-575	431	27	e	e	NOUN
ajset-575	431	28	p0	p0	PROPN
ajset-575	431	29	a0	a0	PROPN
ajset-575	431	30	1	1	NUM
ajset-575	431	31	,	,	PUNCT
ajset-575	431	32	p	p	X
ajset-575	431	33	a	a	DET
ajset-575	431	34	3mc	3mc	NOUN
ajset-575	431	35	c	c	NOUN
ajset-575	431	36	c	c	NOUN
ajset-575	431	37	e	e	ADP
ajset-575	431	38	2	2	NUM
ajset-575	431	39	=	=	NOUN
ajset-575	431	40	p0	p0	NOUN
ajset-575	431	41	a0	a0	NOUN
ajset-575	431	42	,	,	PUNCT
ajset-575	432	1	c	c	NOUN
ajset-575	432	2	e	e	SYM
ajset-575	432	3	2	2	NUM
ajset-575	432	4	e	e	SYM
ajset-575	432	5	2	2	NUM
ajset-575	432	6	2	2	NUM
ajset-575	432	7	p	p	NOUN
ajset-575	432	8	a	a	DET
ajset-575	432	9	m	m	NOUN
ajset-575	432	10	c	c	NOUN
ajset-575	432	11	c	c	NOUN
ajset-575	432	12	e	e	X
ajset-575	432	13	1	1	NUM
ajset-575	432	14	,	,	PUNCT
ajset-575	432	15	p	p	PROPN
ajset-575	432	16	c	c	PROPN
ajset-575	432	17	a	a	DET
ajset-575	432	18	p0	p0	NOUN
ajset-575	432	19	c	c	PROPN
ajset-575	432	20	a0	a0	PROPN
ajset-575	432	21	p0	p0	PROPN
ajset-575	432	22	c	c	PROPN
ajset-575	432	23	a0	a0	PROPN
ajset-575	432	24	,	,	PUNCT
ajset-575	432	25	p	p	PROPN
ajset-575	432	26	c	c	PROPN
ajset-575	432	27	a	a	DET
ajset-575	432	28	the	the	DET
ajset-575	432	29	last	last	ADJ
ajset-575	432	30	equation	equation	NOUN
ajset-575	432	31	above	above	ADV
ajset-575	432	32	is	be	AUX
ajset-575	432	33	d15	d15	PROPN
ajset-575	432	34	.	.	PUNCT
ajset-575	433	1	note	note	NOUN
ajset-575	433	2	rewritten	rewrite	VERB
ajset-575	433	3	,	,	PUNCT
ajset-575	433	4	equations	equation	NOUN
ajset-575	433	5	(	(	PUNCT
ajset-575	433	6	d5	d5	NOUN
ajset-575	433	7	)	)	PUNCT
ajset-575	433	8	and	and	CCONJ
ajset-575	433	9	d15	d15	NOUN
ajset-575	433	10	)	)	PUNCT
ajset-575	433	11	can	can	AUX
ajset-575	433	12	take	take	VERB
ajset-575	433	13	the	the	DET
ajset-575	433	14	form	form	NOUN
ajset-575	433	15	:	:	PUNCT
ajset-575	433	16	p0	p0	NOUN
ajset-575	433	17	2	2	NUM
ajset-575	433	18	=	=	SYM
ajset-575	433	19	[	[	PUNCT
ajset-575	433	20	1	1	NUM
ajset-575	433	21	(	(	PUNCT
ajset-575	433	22	,	,	PUNCT
ajset-575	433	23	p	p	NOUN
ajset-575	433	24	)	)	PUNCT
ajset-575	433	25	3mc]2	3mc]2	NOUN
ajset-575	433	26	e	e	NOUN
ajset-575	433	27	e	e	X
ajset-575	433	28	2	2	NUM
ajset-575	433	29	2	2	NUM
ajset-575	433	30	e	e	NOUN
ajset-575	433	31	e	e	ADP
ajset-575	433	32	p0	p0	PROPN
ajset-575	433	33	c	c	PROPN
ajset-575	433	34	a0	a0	PROPN
ajset-575	433	35	=	=	SYM
ajset-575	433	36	1	1	NUM
ajset-575	433	37	(	(	PUNCT
ajset-575	433	38	,	,	PUNCT
ajset-575	433	39	p	p	X
ajset-575	433	40	c	c	PROPN
ajset-575	433	41	a	a	PRON
ajset-575	433	42	)	)	PUNCT
ajset-575	433	43	3mc	3mc	NOUN
ajset-575	433	44	the	the	DET
ajset-575	433	45	first	first	ADJ
ajset-575	433	46	eq	eq	NOUN
ajset-575	433	47	.	.	PROPN
ajset-575	434	1	is	be	AUX
ajset-575	434	2	d3	d3	PROPN
ajset-575	434	3	last	last	ADJ
ajset-575	434	4	eq	eq	NOUN
ajset-575	434	5	.	.	PROPN
ajset-575	434	6	is	be	AUX
ajset-575	434	7	d15a	d15a	ADJ
ajset-575	434	8	.	.	PUNCT
ajset-575	435	1	upon	upon	SCONJ
ajset-575	435	2	squaring	square	VERB
ajset-575	435	3	the	the	DET
ajset-575	435	4	terms	term	NOUN
ajset-575	435	5	in	in	ADP
ajset-575	435	6	equation	equation	NOUN
ajset-575	435	7	(	(	PUNCT
ajset-575	435	8	d15a	d15a	X
ajset-575	435	9	)	)	PUNCT
ajset-575	435	10	,	,	PUNCT
ajset-575	435	11	dirac	dirac	NOUN
ajset-575	435	12	finds	find	VERB
ajset-575	435	13	extra	extra	ADJ
ajset-575	435	14	terms	term	NOUN
ajset-575	435	15	:	:	PUNCT
ajset-575	435	16	e	e	NOUN
ajset-575	435	17	2	2	NUM
ajset-575	435	18	e	e	SYM
ajset-575	435	19	2	2	NUM
ajset-575	435	20	e	e	NOUN
ajset-575	435	21	e	e	X
ajset-575	435	22	2	2	NUM
ajset-575	435	23	2	2	NUM
ajset-575	435	24	p0	p0	NOUN
ajset-575	435	25	a0	a0	NOUN
ajset-575	435	26	=	=	PUNCT
ajset-575	436	1	p	p	X
ajset-575	436	2	a	a	X
ajset-575	436	3	(	(	PUNCT
ajset-575	436	4	,	,	PUNCT
ajset-575	436	5	h	h	NOUN
ajset-575	436	6	)	)	PUNCT
ajset-575	436	7	i	i	NOUN
ajset-575	436	8	1	1	NUM
ajset-575	436	9	(	(	PUNCT
ajset-575	436	10	,	,	PUNCT
ajset-575	436	11	e	e	X
ajset-575	436	12	)	)	PUNCT
ajset-575	436	13	m	m	VERB
ajset-575	436	14	c	c	NOUN
ajset-575	436	15	c	c	NOUN
ajset-575	436	16	c	c	NOUN
ajset-575	436	17	c	c	NOUN
ajset-575	436	18	c	c	X
ajset-575	436	19	(	(	PUNCT
ajset-575	436	20	43	43	NUM
ajset-575	436	21	)	)	PUNCT
ajset-575	436	22	where	where	SCONJ
ajset-575	436	23	this	this	PRON
ajset-575	436	24	is	be	AUX
ajset-575	436	25	d15a	d15a	ADJ
ajset-575	436	26	,	,	PUNCT
ajset-575	436	27	again	again	ADV
ajset-575	436	28	,	,	PUNCT
ajset-575	436	29	here	here	ADV
ajset-575	436	30	:	:	PUNCT
ajset-575	436	31	=	=	PUNCT
ajset-575	436	32	h/2	h/2	X
ajset-575	436	33	.	.	PUNCT
ajset-575	437	1	from	from	ADP
ajset-575	437	2	that	that	PRON
ajset-575	437	3	,	,	PUNCT
ajset-575	437	4	dirac	dirac	NOUN
ajset-575	437	5	divides	divide	NOUN
ajset-575	437	6	by	by	ADP
ajset-575	437	7	2	2	NUM
ajset-575	437	8	m	m	NOUN
ajset-575	437	9	and	and	CCONJ
ajset-575	437	10	finds	find	VERB
ajset-575	437	11	:	:	PUNCT
ajset-575	438	1	e	e	X
ajset-575	438	2	(	(	PUNCT
ajset-575	438	3	,	,	PUNCT
ajset-575	438	4	h	h	NOUN
ajset-575	438	5	)	)	PUNCT
ajset-575	438	6	e	e	NOUN
ajset-575	439	1	=	=	SYM
ajset-575	440	1	=	=	NOUN
ajset-575	441	1	magneticmomentof	magneticmomentof	VERB
ajset-575	441	2	1bohr	1bohr	NUM
ajset-575	441	3	magnetonand	magnetonand	NOUN
ajset-575	441	4	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	441	5	academic	academic	ADJ
ajset-575	441	6	journal	journal	NOUN
ajset-575	441	7	of	of	ADP
ajset-575	441	8	science	science	NOUN
ajset-575	441	9	,	,	PUNCT
ajset-575	441	10	engineering	engineering	NOUN
ajset-575	441	11	and	and	CCONJ
ajset-575	441	12	technology	technology	NOUN
ajset-575	441	13	vol.6	vol.6	PROPN
ajset-575	441	14	,	,	PUNCT
ajset-575	441	15	issue	issue	NOUN
ajset-575	441	16	1	1	NUM
ajset-575	441	17	;	;	PUNCT
ajset-575	441	18	january	january	PROPN
ajset-575	441	19	febuary	febuary	PROPN
ajset-575	441	20	2021	2021	NUM
ajset-575	441	21	;	;	PUNCT
ajset-575	441	22	1252	1252	NUM
ajset-575	441	23	columbia	columbia	PROPN
ajset-575	441	24	rd	rd	PROPN
ajset-575	441	25	nw	nw	PROPN
ajset-575	441	26	,	,	PUNCT
ajset-575	441	27	washington	washington	PROPN
ajset-575	441	28	dc	dc	PROPN
ajset-575	441	29	,	,	PUNCT
ajset-575	441	30	united	united	PROPN
ajset-575	441	31	states	states	PROPN
ajset-575	441	32	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	441	33	;	;	PUNCT
ajset-575	441	34	mail	mail	NOUN
ajset-575	441	35	:	:	PUNCT
ajset-575	441	36	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	442	1	69	69	NUM
ajset-575	443	1	|	|	ADV
ajset-575	443	2	a	a	DET
ajset-575	443	3	c	c	NOUN
ajset-575	443	4	a	a	PRON
ajset-575	443	5	d	d	X
ajset-575	443	6	e	e	NOUN
ajset-575	443	7	m	m	NOUN
ajset-575	443	8	i	i	NOUN
ajset-575	443	9	c	c	NOUN
ajset-575	443	10	j	j	NOUN
ajset-575	443	11	o	o	X
ajset-575	443	12	u	u	NOUN
ajset-575	443	13	r	r	NOUN
ajset-575	443	14	n	n	NOUN
ajset-575	443	15	a	a	DET
ajset-575	443	16	l	l	NOUN
ajset-575	444	1	o	o	X
ajset-575	444	2	f	f	X
ajset-575	444	3	s	s	X
ajset-575	444	4	c	c	NOUN
ajset-575	445	1	i	i	NOUN
ajset-575	445	2	e	e	PROPN
ajset-575	445	3	n	n	PROPN
ajset-575	445	4	c	c	NOUN
ajset-575	445	5	e	e	X
ajset-575	445	6	,	,	PUNCT
ajset-575	445	7	e	e	PROPN
ajset-575	445	8	n	n	PRON
ajset-575	445	9	g	g	NOUN
ajset-575	445	10	i	i	PRON
ajset-575	445	11	n	n	VERB
ajset-575	445	12	e	e	NOUN
ajset-575	445	13	e	e	NOUN
ajset-575	445	14	r	r	VERB
ajset-575	445	15	i	i	PRON
ajset-575	445	16	n	n	CCONJ
ajset-575	445	17	g	g	PROPN
ajset-575	445	18	a	a	DET
ajset-575	445	19	n	n	NOUN
ajset-575	445	20	d	d	NOUN
ajset-575	445	21	t	t	NOUN
ajset-575	445	22	e	e	X
ajset-575	445	23	c	c	NOUN
ajset-575	445	24	h	h	NOUN
ajset-575	445	25	n	n	ADV
ajset-575	445	26	o	o	NOUN
ajset-575	445	27	l	l	NOUN
ajset-575	446	1	o	o	X
ajset-575	446	2	g	g	NOUN
ajset-575	446	3	y	y	PROPN
ajset-575	446	4	|	|	ADV
ajset-575	446	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	446	6	c	c	NOUN
ajset-575	446	7	2	2	NUM
ajset-575	446	8	m	m	NOUN
ajset-575	446	9	mc	mc	PROPN
ajset-575	446	10	e	e	X
ajset-575	446	11	(	(	PUNCT
ajset-575	446	12	,	,	PUNCT
ajset-575	446	13	e	e	X
ajset-575	446	14	)	)	PUNCT
ajset-575	447	1	e	e	NOUN
ajset-575	447	2	i	i	NOUN
ajset-575	447	3	1	1	NUM
ajset-575	448	1	=	=	SYM
ajset-575	448	2	i	i	NOUN
ajset-575	448	3	1	1	NUM
ajset-575	448	4	=	=	SYM
ajset-575	448	5	electricmoment	electricmoment	NOUN
ajset-575	448	6	with	with	ADP
ajset-575	448	7	imaginarynumber	imaginarynumber	PROPN
ajset-575	448	8	c	c	PROPN
ajset-575	448	9	2	2	NUM
ajset-575	448	10	m	m	NOUN
ajset-575	448	11	mc	mc	PROPN
ajset-575	448	12	(	(	PUNCT
ajset-575	448	13	44	44	NUM
ajset-575	448	14	)	)	PUNCT
ajset-575	448	15	quoted	quote	VERB
ajset-575	448	16	from	from	ADP
ajset-575	448	17	p.a.m	p.a.m	PROPN
ajset-575	448	18	.	.	PUNCT
ajset-575	448	19	dirac	dirac	PROPN
ajset-575	448	20	:	:	PUNCT
ajset-575	448	21	this	this	DET
ajset-575	448	22	magnetic	magnetic	ADJ
ajset-575	448	23	moment	moment	NOUN
ajset-575	448	24	is	be	AUX
ajset-575	448	25	just	just	ADV
ajset-575	448	26	that	that	PRON
ajset-575	448	27	assumed	assume	VERB
ajset-575	448	28	in	in	ADP
ajset-575	448	29	the	the	DET
ajset-575	448	30	spinning	spinning	NOUN
ajset-575	448	31	electron	electron	NOUN
ajset-575	448	32	model	model	NOUN
ajset-575	448	33	.	.	PUNCT
ajset-575	449	1	the	the	DET
ajset-575	449	2	electron	electron	NOUN
ajset-575	449	3	moment	moment	NOUN
ajset-575	449	4	,	,	PUNCT
ajset-575	449	5	being	be	AUX
ajset-575	449	6	a	a	DET
ajset-575	449	7	pure	pure	ADJ
ajset-575	449	8	imaginary	imaginary	ADJ
ajset-575	449	9	,	,	PUNCT
ajset-575	449	10	we	we	PRON
ajset-575	449	11	should	should	AUX
ajset-575	449	12	not	not	PART
ajset-575	449	13	expect	expect	VERB
ajset-575	449	14	to	to	PART
ajset-575	449	15	appear	appear	VERB
ajset-575	449	16	in	in	ADP
ajset-575	449	17	the	the	DET
ajset-575	449	18	model	model	NOUN
ajset-575	449	19	.	.	PUNCT
ajset-575	450	1	it	it	PRON
ajset-575	450	2	is	be	AUX
ajset-575	450	3	doubtful	doubtful	ADJ
ajset-575	450	4	whether	whether	SCONJ
ajset-575	450	5	the	the	DET
ajset-575	450	6	electrical	electrical	ADJ
ajset-575	450	7	moment	moment	NOUN
ajset-575	450	8	has	have	VERB
ajset-575	450	9	any	any	DET
ajset-575	450	10	physical	physical	ADJ
ajset-575	450	11	meaning	meaning	NOUN
ajset-575	450	12	,	,	PUNCT
ajset-575	450	13	since	since	SCONJ
ajset-575	450	14	the	the	DET
ajset-575	450	15	hamiltonian	hamiltonian	NOUN
ajset-575	450	16	in	in	ADP
ajset-575	450	17	(	(	PUNCT
ajset-575	450	18	14	14	NUM
ajset-575	450	19	)	)	PUNCT
ajset-575	450	20	that	that	SCONJ
ajset-575	450	21	we	we	PRON
ajset-575	450	22	started	start	VERB
ajset-575	450	23	from	from	ADP
ajset-575	450	24	is	be	AUX
ajset-575	450	25	real	real	ADJ
ajset-575	450	26	,	,	PUNCT
ajset-575	450	27	and	and	CCONJ
ajset-575	450	28	the	the	DET
ajset-575	450	29	imaginary	imaginary	ADJ
ajset-575	450	30	part	part	NOUN
ajset-575	450	31	only	only	ADV
ajset-575	450	32	appeared	appear	VERB
ajset-575	450	33	when	when	SCONJ
ajset-575	450	34	we	we	PRON
ajset-575	450	35	multiplied	multiply	VERB
ajset-575	450	36	it	it	PRON
ajset-575	450	37	up	up	ADP
ajset-575	450	38	in	in	ADP
ajset-575	450	39	an	an	DET
ajset-575	450	40	artificial	artificial	ADJ
ajset-575	450	41	way	way	NOUN
ajset-575	450	42	in	in	ADP
ajset-575	450	43	order	order	NOUN
ajset-575	450	44	to	to	PART
ajset-575	450	45	make	make	VERB
ajset-575	450	46	it	it	PRON
ajset-575	450	47	resemble	resemble	VERB
ajset-575	450	48	the	the	DET
ajset-575	450	49	hamiltonian	hamiltonian	NOUN
ajset-575	450	50	of	of	ADP
ajset-575	450	51	previous	previous	ADJ
ajset-575	450	52	theories	theory	NOUN
ajset-575	450	53	.	.	PUNCT
ajset-575	451	1	11.2	11.2	NUM
ajset-575	451	2	rotating	rotate	VERB
ajset-575	451	3	wave	wave	NOUN
ajset-575	451	4	vectors	vector	NOUN
ajset-575	451	5	and	and	CCONJ
ajset-575	451	6	derivative	derivative	ADJ
ajset-575	451	7	operators	operator	NOUN
ajset-575	451	8	again	again	ADV
ajset-575	451	9	refer	refer	VERB
ajset-575	451	10	to	to	PART
ajset-575	451	11	figure	figure	VERB
ajset-575	451	12	14	14	NUM
ajset-575	451	13	.	.	PUNCT
ajset-575	451	14	,	,	PUNCT
ajset-575	451	15	where	where	SCONJ
ajset-575	451	16	the	the	DET
ajset-575	451	17	sinusoidal	sinusoidal	ADJ
ajset-575	451	18	wave	wave	NOUN
ajset-575	451	19	function	function	NOUN
ajset-575	451	20	was	be	AUX
ajset-575	451	21	defined	define	VERB
ajset-575	451	22	as	as	ADP
ajset-575	451	23	;	;	PUNCT
ajset-575	451	24	2	2	NUM
ajset-575	451	25	s	s	NOUN
ajset-575	451	26	=	=	PUNCT
ajset-575	451	27	n	n	PRON
ajset-575	451	28	sin	sin	NOUN
ajset-575	451	29	t	t	NOUN
ajset-575	451	30	since	since	SCONJ
ajset-575	451	31	for	for	ADP
ajset-575	451	32	a	a	DET
ajset-575	451	33	light	light	ADJ
ajset-575	451	34	wave	wave	NOUN
ajset-575	451	35	p	p	NOUN
ajset-575	451	36	=	=	PUNCT
ajset-575	451	37	h/	h/	NOUN
ajset-575	451	38	then	then	ADV
ajset-575	451	39	for	for	ADP
ajset-575	451	40	a	a	DET
ajset-575	451	41	rotating	rotate	VERB
ajset-575	451	42	wave	wave	NOUN
ajset-575	451	43	pc	pc	NOUN
ajset-575	451	44	=	=	NOUN
ajset-575	451	45	h/	h/	NOUN
ajset-575	451	46	and	and	CCONJ
ajset-575	451	47	thus	thus	ADV
ajset-575	451	48	:	:	PUNCT
ajset-575	451	49	pcs	pc	NOUN
ajset-575	451	50	=	=	SYM
ajset-575	451	51	n	n	X
ajset-575	451	52	sin	sin	NOUN
ajset-575	451	53	t	t	NOUN
ajset-575	451	54	.	.	PUNCT
ajset-575	452	1	it	it	PRON
ajset-575	452	2	is	be	AUX
ajset-575	452	3	also	also	ADV
ajset-575	452	4	apparent	apparent	ADJ
ajset-575	452	5	from	from	ADP
ajset-575	452	6	figure	figure	NOUN
ajset-575	452	7	10	10	NUM
ajset-575	452	8	.	.	PUNCT
ajset-575	453	1	that	that	PRON
ajset-575	453	2	:	:	PUNCT
ajset-575	453	3	pc	pc	NOUN
ajset-575	453	4	=	=	SYM
ajset-575	453	5	pvc	pvc	ADJ
ajset-575	453	6	/	/	SYM
ajset-575	453	7	vv	vv	NOUN
ajset-575	453	8	=	=	SYM
ajset-575	453	9	prc	prc	PROPN
ajset-575	453	10	/	/	SYM
ajset-575	453	11	vr	vr	PROPN
ajset-575	453	12	and	and	CCONJ
ajset-575	453	13	s	s	PART
ajset-575	453	14	=	=	PROPN
ajset-575	453	15	svc	svc	PROPN
ajset-575	453	16	/	/	SYM
ajset-575	453	17	vv	vv	NOUN
ajset-575	453	18	=	=	NOUN
ajset-575	453	19	src	src	PROPN
ajset-575	453	20	/	/	SYM
ajset-575	453	21	vr	vr	PROPN
ajset-575	453	22	such	such	ADJ
ajset-575	453	23	that	that	PRON
ajset-575	453	24	:	:	PUNCT
ajset-575	453	25	ps	ps	PROPN
ajset-575	453	26	p	p	X
ajset-575	453	27	s	s	PROPN
ajset-575	453	28	c2	c2	PROPN
ajset-575	453	29	=	=	SYM
ajset-575	453	30	n	n	PROPN
ajset-575	453	31	sin	sin	NOUN
ajset-575	453	32	c	c	PROPN
ajset-575	453	33	t	t	NOUN
ajset-575	453	34	=	=	SYM
ajset-575	453	35	n	n	PRON
ajset-575	453	36	sin	sin	VERB
ajset-575	453	37	vvv2v	vvv2v	PROPN
ajset-575	453	38	t	t	NOUN
ajset-575	453	39	p	p	X
ajset-575	453	40	s	s	PROPN
ajset-575	453	41	c2	c2	PROPN
ajset-575	453	42	=	=	SYM
ajset-575	453	43	n	n	PROPN
ajset-575	453	44	sin	sin	VERB
ajset-575	453	45	rvr2r	rvr2r	PROPN
ajset-575	453	46	t	t	PROPN
ajset-575	453	47	and	and	CCONJ
ajset-575	453	48	thus	thus	ADV
ajset-575	453	49	,	,	PUNCT
ajset-575	453	50	=	=	SYM
ajset-575	453	51	npc	npc	NOUN
ajset-575	453	52	cos	cos	PROPN
ajset-575	453	53	pcs	pcs	PROPN
ajset-575	453	54	t	t	PROPN
ajset-575	453	55	s	s	PART
ajset-575	453	56	sv	sv	PROPN
ajset-575	453	57	=	=	PUNCT
ajset-575	453	58	npv	npv	PROPN
ajset-575	453	59	v	v	NUM
ajset-575	453	60	c2	c2	PROPN
ajset-575	453	61	cos	cos	PROPN
ajset-575	453	62	pvvsv2v	pvvsv2v	PROPN
ajset-575	453	63	c2	c2	PROPN
ajset-575	453	64	t	t	PROPN
ajset-575	453	65	2	2	NUM
ajset-575	453	66	v	v	NOUN
ajset-575	453	67	srnpvrr	srnpvrr	PROPN
ajset-575	453	68	c2	c2	PROPN
ajset-575	453	69	prvsr2r	prvsr2r	PROPN
ajset-575	453	70	c2	c2	PROPN
ajset-575	453	71	t	t	PROPN
ajset-575	453	72	=	=	SYM
ajset-575	453	73	2	2	NUM
ajset-575	453	74	cos	cos	SCONJ
ajset-575	453	75	deriving	derive	VERB
ajset-575	453	76	further	far	ADV
ajset-575	453	77	we	we	PRON
ajset-575	453	78	get	get	VERB
ajset-575	453	79	,	,	PUNCT
ajset-575	453	80	2	2	NUM
ajset-575	453	81	npc2	npc2	ADJ
ajset-575	453	82	pcs	pc	NOUN
ajset-575	453	83	pc2c4	pc2c4	PROPN
ajset-575	453	84	2	2	NUM
ajset-575	453	85	=	=	SYM
ajset-575	453	86	2	2	NUM
ajset-575	453	87	sin	sin	NOUN
ajset-575	453	88	t	t	NOUN
ajset-575	453	89	=	=	SYM
ajset-575	453	90	4	4	NUM
ajset-575	453	91	2	2	NUM
ajset-575	453	92	(	(	PUNCT
ajset-575	453	93	4	4	NUM
ajset-575	453	94	(	(	PUNCT
ajset-575	453	95	4	4	NUM
ajset-575	453	96	(	(	PUNCT
ajset-575	453	97	4	4	NUM
ajset-575	453	98	(	(	PUNCT
ajset-575	453	99	4	4	NUM
ajset-575	453	100	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	453	101	academic	academic	ADJ
ajset-575	453	102	journal	journal	NOUN
ajset-575	453	103	of	of	ADP
ajset-575	453	104	science	science	NOUN
ajset-575	453	105	,	,	PUNCT
ajset-575	453	106	engineering	engineering	NOUN
ajset-575	453	107	and	and	CCONJ
ajset-575	453	108	technology	technology	NOUN
ajset-575	453	109	vol.6	vol.6	PROPN
ajset-575	453	110	,	,	PUNCT
ajset-575	453	111	issue	issue	NOUN
ajset-575	453	112	1	1	NUM
ajset-575	453	113	;	;	PUNCT
ajset-575	453	114	january	january	PROPN
ajset-575	453	115	febuary	febuary	PROPN
ajset-575	453	116	2021	2021	NUM
ajset-575	453	117	;	;	PUNCT
ajset-575	453	118	1252	1252	NUM
ajset-575	453	119	columbia	columbia	PROPN
ajset-575	453	120	rd	rd	PROPN
ajset-575	453	121	nw	nw	PROPN
ajset-575	453	122	,	,	PUNCT
ajset-575	453	123	washington	washington	PROPN
ajset-575	453	124	dc	dc	PROPN
ajset-575	453	125	,	,	PUNCT
ajset-575	453	126	united	united	PROPN
ajset-575	453	127	states	states	PROPN
ajset-575	453	128	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	453	129	;	;	PUNCT
ajset-575	453	130	mail	mail	NOUN
ajset-575	453	131	:	:	PUNCT
ajset-575	453	132	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	454	1	70	70	NUM
ajset-575	455	1	|	|	ADV
ajset-575	455	2	a	a	DET
ajset-575	455	3	c	c	NOUN
ajset-575	455	4	a	a	PRON
ajset-575	455	5	d	d	X
ajset-575	455	6	e	e	NOUN
ajset-575	455	7	m	m	NOUN
ajset-575	455	8	i	i	NOUN
ajset-575	455	9	c	c	NOUN
ajset-575	455	10	j	j	NOUN
ajset-575	455	11	o	o	X
ajset-575	455	12	u	u	NOUN
ajset-575	455	13	r	r	NOUN
ajset-575	455	14	n	n	NOUN
ajset-575	455	15	a	a	DET
ajset-575	455	16	l	l	NOUN
ajset-575	456	1	o	o	X
ajset-575	456	2	f	f	X
ajset-575	456	3	s	s	X
ajset-575	456	4	c	c	NOUN
ajset-575	457	1	i	i	NOUN
ajset-575	457	2	e	e	PROPN
ajset-575	457	3	n	n	PROPN
ajset-575	457	4	c	c	NOUN
ajset-575	457	5	e	e	X
ajset-575	457	6	,	,	PUNCT
ajset-575	457	7	e	e	PROPN
ajset-575	457	8	n	n	PRON
ajset-575	457	9	g	g	NOUN
ajset-575	457	10	i	i	PRON
ajset-575	457	11	n	n	VERB
ajset-575	457	12	e	e	NOUN
ajset-575	457	13	e	e	NOUN
ajset-575	457	14	r	r	VERB
ajset-575	457	15	i	i	PRON
ajset-575	457	16	n	n	CCONJ
ajset-575	457	17	g	g	PROPN
ajset-575	457	18	a	a	DET
ajset-575	457	19	n	n	NOUN
ajset-575	457	20	d	d	NOUN
ajset-575	457	21	t	t	NOUN
ajset-575	457	22	e	e	X
ajset-575	457	23	c	c	NOUN
ajset-575	457	24	h	h	NOUN
ajset-575	457	25	n	n	ADV
ajset-575	457	26	o	o	NOUN
ajset-575	457	27	l	l	NOUN
ajset-575	458	1	o	o	X
ajset-575	458	2	g	g	NOUN
ajset-575	458	3	y	y	PROPN
ajset-575	458	4	|	|	ADV
ajset-575	458	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	458	6	s	s	NOUN
ajset-575	458	7	c	c	NOUN
ajset-575	458	8	2	2	NUM
ajset-575	458	9	v2	v2	NOUN
ajset-575	458	10	=	=	SYM
ajset-575	458	11	np4v2c4	np4v2c4	PROPN
ajset-575	458	12	sin	sin	NOUN
ajset-575	458	13	pvvsv2v	pvvsv2v	PROPN
ajset-575	458	14	c2	c2	PROPN
ajset-575	458	15	t	t	PROPN
ajset-575	459	1	=	=	PUNCT
ajset-575	459	2	vpv4v	vpv4v	PROPN
ajset-575	459	3	2c24	2c24	NUM
ajset-575	459	4	2	2	NUM
ajset-575	459	5	s	s	PART
ajset-575	459	6	vv	vv	NOUN
ajset-575	459	7	s2	s2	NOUN
ajset-575	459	8	r	r	NOUN
ajset-575	459	9	=	=	SYM
ajset-575	459	10	npvrr	npvrr	NOUN
ajset-575	459	11	2c4	2c4	NUM
ajset-575	459	12	sin	sin	NOUN
ajset-575	459	13	prvsr2r	prvsr2r	PROPN
ajset-575	459	14	c2	c2	PROPN
ajset-575	459	15	t	t	PROPN
ajset-575	459	16	=	=	SYM
ajset-575	459	17	vpr4r	vpr4r	NOUN
ajset-575	459	18	2c24	2c24	NUM
ajset-575	459	19	2	2	NUM
ajset-575	459	20	4	4	NUM
ajset-575	459	21	2	2	NUM
ajset-575	459	22	c4	c4	NOUN
ajset-575	459	23	2	2	NUM
ajset-575	459	24	thus	thus	ADV
ajset-575	459	25	:	:	PUNCT
ajset-575	459	26	pc	pc	NOUN
ajset-575	459	27	=	=	NOUN
ajset-575	459	28	4	4	NUM
ajset-575	459	29	2	2	NUM
ajset-575	459	30	c	c	NOUN
ajset-575	459	31	v4	v4	NOUN
ajset-575	459	32	2	2	NUM
ajset-575	459	33	v	v	NOUN
ajset-575	459	34	pv	pv	NOUN
ajset-575	459	35	=	=	NOUN
ajset-575	459	36	4	4	NUM
ajset-575	459	37	2	2	NUM
ajset-575	459	38	c	c	NOUN
ajset-575	459	39	v4	v4	NOUN
ajset-575	459	40	2	2	NUM
ajset-575	459	41	r	r	NOUN
ajset-575	459	42	pr	pr	NOUN
ajset-575	459	43	=	=	NOUN
ajset-575	459	44	4	4	NUM
ajset-575	459	45	2	2	NUM
ajset-575	459	46	c	c	NOUN
ajset-575	459	47	and	and	CCONJ
ajset-575	459	48	thus	thus	ADV
ajset-575	459	49	:	:	PUNCT
ajset-575	459	50	pc	pc	NOUN
ajset-575	459	51	2	2	NUM
ajset-575	459	52	=	=	SYM
ajset-575	459	53	(	(	PUNCT
ajset-575	459	54	p	p	NOUN
ajset-575	459	55	v	v	ADP
ajset-575	459	56	2	2	NUM
ajset-575	459	57	p	p	NOUN
ajset-575	459	58	r	r	NOUN
ajset-575	459	59	2	2	NUM
ajset-575	459	60	)	)	PUNCT
ajset-575	459	61	.	.	PUNCT
ajset-575	460	1	with	with	ADP
ajset-575	460	2	pc	pc	NOUN
ajset-575	460	3	,	,	PUNCT
ajset-575	460	4	p	p	NOUN
ajset-575	460	5	v	v	NOUN
ajset-575	460	6	,	,	PUNCT
ajset-575	460	7	and	and	CCONJ
ajset-575	460	8	pr	pr	NOUN
ajset-575	460	9	as	as	ADP
ajset-575	460	10	either	either	CCONJ
ajset-575	460	11	simple	simple	ADJ
ajset-575	460	12	variables	variable	NOUN
ajset-575	460	13	or	or	CCONJ
ajset-575	460	14	derivative	derivative	ADJ
ajset-575	460	15	operators	operator	NOUN
ajset-575	460	16	.	.	PUNCT
ajset-575	461	1	note	note	VERB
ajset-575	461	2	,	,	PUNCT
ajset-575	461	3	one	one	PRON
ajset-575	461	4	can	can	AUX
ajset-575	461	5	extend	extend	VERB
ajset-575	461	6	the	the	DET
ajset-575	461	7	rotating	rotate	VERB
ajset-575	461	8	wave	wave	NOUN
ajset-575	461	9	equation	equation	NOUN
ajset-575	461	10	into	into	ADP
ajset-575	461	11	the	the	DET
ajset-575	461	12	general	general	ADJ
ajset-575	461	13	theory	theory	NOUN
ajset-575	461	14	of	of	ADP
ajset-575	461	15	relativity	relativity	NOUN
ajset-575	461	16	:	:	PUNCT
ajset-575	461	17	pc2	pc2	NOUN
ajset-575	461	18	=	=	SYM
ajset-575	461	19	(	(	PUNCT
ajset-575	461	20	pv2	pv2	PROPN
ajset-575	461	21	pr2	pr2	PROPN
ajset-575	461	22	pt2	pt2	PROPN
ajset-575	461	23	)	)	PUNCT
ajset-575	461	24	11.3	11.3	NUM
ajset-575	461	25	comparison	comparison	NOUN
ajset-575	461	26	of	of	ADP
ajset-575	461	27	derivative	derivative	ADJ
ajset-575	461	28	operators	operator	NOUN
ajset-575	461	29	between	between	ADP
ajset-575	461	30	dirac	dirac	NOUN
ajset-575	461	31	&	&	CCONJ
ajset-575	461	32	rotating	rotate	VERB
ajset-575	461	33	wave	wave	NOUN
ajset-575	461	34	.	.	PUNCT
ajset-575	462	1	in	in	ADP
ajset-575	462	2	order	order	NOUN
ajset-575	462	3	to	to	PART
ajset-575	462	4	compare	compare	VERB
ajset-575	462	5	with	with	ADP
ajset-575	462	6	dirac	dirac	NOUN
ajset-575	462	7	’s	’s	PART
ajset-575	462	8	equations	equation	NOUN
ajset-575	462	9	we	we	PRON
ajset-575	462	10	of	of	ADP
ajset-575	462	11	course	course	NOUN
ajset-575	462	12	need	need	VERB
ajset-575	462	13	to	to	PART
ajset-575	462	14	limit	limit	VERB
ajset-575	462	15	our	our	PRON
ajset-575	462	16	discussion	discussion	NOUN
ajset-575	462	17	here	here	ADV
ajset-575	462	18	to	to	ADP
ajset-575	462	19	the	the	DET
ajset-575	462	20	special	special	ADJ
ajset-575	462	21	theory	theory	NOUN
ajset-575	462	22	of	of	ADP
ajset-575	462	23	relativity	relativity	NOUN
ajset-575	462	24	.	.	PUNCT
ajset-575	463	1	when	when	SCONJ
ajset-575	463	2	the	the	DET
ajset-575	463	3	electron	electron	NOUN
ajset-575	463	4	is	be	AUX
ajset-575	463	5	in	in	ADP
ajset-575	463	6	constant	constant	ADJ
ajset-575	463	7	motion	motion	NOUN
ajset-575	463	8	,	,	PUNCT
ajset-575	463	9	the	the	DET
ajset-575	463	10	momentum	momentum	NOUN
ajset-575	463	11	operators	operator	NOUN
ajset-575	463	12	of	of	ADP
ajset-575	463	13	the	the	DET
ajset-575	463	14	rotating	rotate	VERB
ajset-575	463	15	wave	wave	NOUN
ajset-575	463	16	can	can	AUX
ajset-575	463	17	also	also	ADV
ajset-575	463	18	be	be	AUX
ajset-575	463	19	related	relate	VERB
ajset-575	463	20	in	in	ADP
ajset-575	463	21	the	the	DET
ajset-575	463	22	vector	vector	NOUN
ajset-575	463	23	sum	sum	NOUN
ajset-575	463	24	:	:	PUNCT
ajset-575	463	25	pc	pc	NOUN
ajset-575	463	26	=	=	NOUN
ajset-575	464	1	pv	pv	INTJ
ajset-575	464	2	pr	pr	X
ajset-575	464	3	which	which	PRON
ajset-575	464	4	upon	upon	SCONJ
ajset-575	464	5	multiplication	multiplication	NOUN
ajset-575	464	6	by	by	ADP
ajset-575	464	7	the	the	DET
ajset-575	464	8	amplitude	amplitude	NOUN
ajset-575	464	9	of	of	ADP
ajset-575	464	10	the	the	DET
ajset-575	464	11	wave	wave	NOUN
ajset-575	464	12	function	function	NOUN
ajset-575	464	13	and	and	CCONJ
ajset-575	464	14	then	then	ADV
ajset-575	464	15	squaring	square	VERB
ajset-575	464	16	yields	yield	NOUN
ajset-575	464	17	the	the	DET
ajset-575	464	18	equations	equation	NOUN
ajset-575	464	19	:	:	PUNCT
ajset-575	464	20	pc	pc	NOUN
ajset-575	464	21	=	=	SYM
ajset-575	464	22	(	(	PUNCT
ajset-575	464	23	pv	pv	X
ajset-575	464	24	pr	pr	NOUN
ajset-575	464	25	)	)	PUNCT
ajset-575	464	26	pc	pc	NOUN
ajset-575	464	27	2	2	NUM
ajset-575	464	28	=	=	SYM
ajset-575	464	29	(	(	PUNCT
ajset-575	464	30	pv	pv	INTJ
ajset-575	464	31	2	2	NUM
ajset-575	464	32	pr	pr	NOUN
ajset-575	464	33	2	2	NUM
ajset-575	464	34	)	)	PUNCT
ajset-575	464	35	.	.	PUNCT
ajset-575	465	1	note	note	VERB
ajset-575	465	2	in	in	ADP
ajset-575	465	3	above	above	ADP
ajset-575	465	4	equations	equation	NOUN
ajset-575	465	5	(	(	PUNCT
ajset-575	465	6	d3	d3	PROPN
ajset-575	465	7	)	)	PUNCT
ajset-575	465	8	and	and	CCONJ
ajset-575	465	9	d15a	d15a	X
ajset-575	465	10	)	)	PUNCT
ajset-575	465	11	the	the	DET
ajset-575	465	12	dirac	dirac	NOUN
ajset-575	465	13	terms	term	NOUN
ajset-575	465	14	which	which	PRON
ajset-575	465	15	relate	relate	VERB
ajset-575	465	16	to	to	ADP
ajset-575	465	17	the	the	DET
ajset-575	465	18	vectors	vector	NOUN
ajset-575	465	19	of	of	ADP
ajset-575	465	20	the	the	DET
ajset-575	465	21	rotating	rotate	VERB
ajset-575	465	22	wave	wave	NOUN
ajset-575	465	23	are	be	AUX
ajset-575	465	24	:	:	PUNCT
ajset-575	465	25	p0	p0	NOUN
ajset-575	465	26	=	=	SYM
ajset-575	465	27	pc	pc	NOUN
ajset-575	465	28	,	,	PUNCT
ajset-575	465	29	p	p	NOUN
ajset-575	465	30	=	=	PUNCT
ajset-575	466	1	pv	pv	NOUN
ajset-575	466	2	and	and	CCONJ
ajset-575	466	3	mc	mc	PROPN
ajset-575	467	1	=	=	SYM
ajset-575	467	2	m0c	m0c	PROPN
ajset-575	467	3	=	=	PUNCT
ajset-575	467	4	pr	pr	NOUN
ajset-575	467	5	for	for	ADP
ajset-575	467	6	constant	constant	ADJ
ajset-575	467	7	motion	motion	NOUN
ajset-575	467	8	(	(	PUNCT
ajset-575	467	9	where	where	SCONJ
ajset-575	467	10	m0	m0	NOUN
ajset-575	467	11	is	be	AUX
ajset-575	467	12	the	the	DET
ajset-575	467	13	rest	rest	NOUN
ajset-575	467	14	mass	mass	NOUN
ajset-575	467	15	of	of	ADP
ajset-575	467	16	the	the	DET
ajset-575	467	17	rotating	rotate	VERB
ajset-575	467	18	wave	wave	NOUN
ajset-575	467	19	)	)	PUNCT
ajset-575	467	20	.	.	PUNCT
ajset-575	468	1	thus	thus	ADV
ajset-575	468	2	when	when	SCONJ
ajset-575	468	3	an	an	DET
ajset-575	468	4	electromagnetic	electromagnetic	ADJ
ajset-575	468	5	field	field	NOUN
ajset-575	468	6	is	be	AUX
ajset-575	468	7	introduced	introduce	VERB
ajset-575	468	8	to	to	ADP
ajset-575	468	9	the	the	DET
ajset-575	468	10	electron	electron	NOUN
ajset-575	468	11	,	,	PUNCT
ajset-575	468	12	the	the	DET
ajset-575	468	13	associated	associated	ADJ
ajset-575	468	14	vector	vector	NOUN
ajset-575	468	15	potentials	potential	NOUN
ajset-575	468	16	can	can	AUX
ajset-575	468	17	be	be	AUX
ajset-575	468	18	added	add	VERB
ajset-575	468	19	respectively	respectively	ADV
ajset-575	468	20	(	(	PUNCT
ajset-575	468	21	see	see	VERB
ajset-575	468	22	figure	figure	NOUN
ajset-575	468	23	15	15	NUM
ajset-575	468	24	):	):	PUNCT
ajset-575	468	25	e	e	NOUN
ajset-575	468	26	e	e	X
ajset-575	468	27	e	e	X
ajset-575	468	28	pc	pc	NOUN
ajset-575	468	29	ac	ac	ADV
ajset-575	469	1	=	=	PUNCT
ajset-575	469	2	pv	pv	INTJ
ajset-575	469	3	av	av	PROPN
ajset-575	469	4	pr	pr	PROPN
ajset-575	469	5	ar	ar	PROPN
ajset-575	469	6	c	c	PROPN
ajset-575	469	7	c	c	PROPN
ajset-575	469	8	c	c	NOUN
ajset-575	469	9	which	which	PRON
ajset-575	469	10	represents	represent	VERB
ajset-575	469	11	another	another	DET
ajset-575	469	12	(	(	PUNCT
ajset-575	469	13	boosted	boosted	ADJ
ajset-575	469	14	)	)	PUNCT
ajset-575	469	15	state	state	NOUN
ajset-575	469	16	of	of	ADP
ajset-575	469	17	constant	constant	ADJ
ajset-575	469	18	motion	motion	NOUN
ajset-575	469	19	.	.	PUNCT
ajset-575	470	1	see	see	VERB
ajset-575	470	2	figure	figure	NOUN
ajset-575	470	3	15	15	NUM
ajset-575	470	4	.	.	PUNCT
ajset-575	471	1	the	the	DET
ajset-575	471	2	newly	newly	ADV
ajset-575	471	3	introduced	introduce	VERB
ajset-575	471	4	potential	potential	ADJ
ajset-575	471	5	e	e	NOUN
ajset-575	471	6	/	/	SYM
ajset-575	471	7	c	c	PROPN
ajset-575	471	8	ar	ar	PROPN
ajset-575	471	9	has	have	VERB
ajset-575	471	10	a	a	DET
ajset-575	471	11	magnitude	magnitude	NOUN
ajset-575	471	12	and	and	CCONJ
ajset-575	471	13	direction	direction	NOUN
ajset-575	471	14	such	such	ADJ
ajset-575	471	15	that	that	SCONJ
ajset-575	471	16	the	the	DET
ajset-575	471	17	spin	spin	NOUN
ajset-575	471	18	momentum	momentum	NOUN
ajset-575	471	19	is	be	AUX
ajset-575	471	20	always	always	ADV
ajset-575	471	21	conserved	conserve	VERB
ajset-575	471	22	in	in	ADP
ajset-575	471	23	magnitude	magnitude	NOUN
ajset-575	471	24	and	and	CCONJ
ajset-575	471	25	changed	change	VERB
ajset-575	471	26	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	471	27	academic	academic	ADJ
ajset-575	471	28	journal	journal	NOUN
ajset-575	471	29	of	of	ADP
ajset-575	471	30	science	science	NOUN
ajset-575	471	31	,	,	PUNCT
ajset-575	471	32	engineering	engineering	NOUN
ajset-575	471	33	and	and	CCONJ
ajset-575	471	34	technology	technology	NOUN
ajset-575	471	35	vol.6	vol.6	PROPN
ajset-575	471	36	,	,	PUNCT
ajset-575	471	37	issue	issue	NOUN
ajset-575	471	38	1	1	NUM
ajset-575	471	39	;	;	PUNCT
ajset-575	471	40	january	january	PROPN
ajset-575	471	41	febuary	febuary	PROPN
ajset-575	471	42	2021	2021	NUM
ajset-575	471	43	;	;	PUNCT
ajset-575	471	44	1252	1252	NUM
ajset-575	471	45	columbia	columbia	PROPN
ajset-575	471	46	rd	rd	PROPN
ajset-575	471	47	nw	nw	PROPN
ajset-575	471	48	,	,	PUNCT
ajset-575	471	49	washington	washington	PROPN
ajset-575	471	50	dc	dc	PROPN
ajset-575	471	51	,	,	PUNCT
ajset-575	471	52	united	united	PROPN
ajset-575	471	53	states	states	PROPN
ajset-575	471	54	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	471	55	;	;	PUNCT
ajset-575	471	56	mail	mail	NOUN
ajset-575	471	57	:	:	PUNCT
ajset-575	471	58	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	472	1	71	71	NUM
ajset-575	473	1	|	|	ADV
ajset-575	473	2	a	a	DET
ajset-575	473	3	c	c	NOUN
ajset-575	473	4	a	a	PRON
ajset-575	473	5	d	d	X
ajset-575	473	6	e	e	NOUN
ajset-575	473	7	m	m	NOUN
ajset-575	473	8	i	i	NOUN
ajset-575	473	9	c	c	NOUN
ajset-575	473	10	j	j	NOUN
ajset-575	473	11	o	o	X
ajset-575	473	12	u	u	NOUN
ajset-575	473	13	r	r	NOUN
ajset-575	473	14	n	n	NOUN
ajset-575	473	15	a	a	DET
ajset-575	473	16	l	l	NOUN
ajset-575	474	1	o	o	X
ajset-575	474	2	f	f	X
ajset-575	474	3	s	s	X
ajset-575	474	4	c	c	NOUN
ajset-575	475	1	i	i	NOUN
ajset-575	475	2	e	e	PROPN
ajset-575	475	3	n	n	PROPN
ajset-575	475	4	c	c	NOUN
ajset-575	475	5	e	e	X
ajset-575	475	6	,	,	PUNCT
ajset-575	475	7	e	e	PROPN
ajset-575	475	8	n	n	PRON
ajset-575	475	9	g	g	NOUN
ajset-575	475	10	i	i	PRON
ajset-575	475	11	n	n	VERB
ajset-575	475	12	e	e	NOUN
ajset-575	475	13	e	e	NOUN
ajset-575	475	14	r	r	VERB
ajset-575	475	15	i	i	PRON
ajset-575	475	16	n	n	CCONJ
ajset-575	475	17	g	g	PROPN
ajset-575	475	18	a	a	DET
ajset-575	475	19	n	n	NOUN
ajset-575	475	20	d	d	NOUN
ajset-575	475	21	t	t	NOUN
ajset-575	475	22	e	e	X
ajset-575	475	23	c	c	NOUN
ajset-575	475	24	h	h	NOUN
ajset-575	475	25	n	n	ADV
ajset-575	475	26	o	o	NOUN
ajset-575	475	27	l	l	NOUN
ajset-575	476	1	o	o	X
ajset-575	476	2	g	g	NOUN
ajset-575	476	3	y	y	PROPN
ajset-575	476	4	|	|	ADV
ajset-575	476	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	476	6	only	only	ADV
ajset-575	476	7	in	in	ADP
ajset-575	476	8	direction	direction	NOUN
ajset-575	476	9	in	in	ADP
ajset-575	476	10	order	order	NOUN
ajset-575	476	11	to	to	PART
ajset-575	476	12	maintain	maintain	VERB
ajset-575	476	13	itself	itself	PRON
ajset-575	476	14	at	at	ADP
ajset-575	476	15	right	right	ADJ
ajset-575	476	16	angles	angle	NOUN
ajset-575	476	17	to	to	ADP
ajset-575	476	18	the	the	DET
ajset-575	476	19	direction	direction	NOUN
ajset-575	476	20	of	of	ADP
ajset-575	476	21	motion	motion	NOUN
ajset-575	476	22	of	of	ADP
ajset-575	476	23	the	the	DET
ajset-575	476	24	particle	particle	NOUN
ajset-575	476	25	.	.	PUNCT
ajset-575	477	1	vectors	vector	NOUN
ajset-575	477	2	noted	note	VERB
ajset-575	477	3	are	be	AUX
ajset-575	477	4	embolded	embolde	VERB
ajset-575	477	5	.	.	PUNCT
ajset-575	478	1	figure	figure	NOUN
ajset-575	478	2	15	15	NUM
ajset-575	478	3	:	:	PUNCT
ajset-575	478	4	the	the	DET
ajset-575	478	5	vector	vector	NOUN
ajset-575	478	6	potential	potential	NOUN
ajset-575	478	7	is	be	AUX
ajset-575	478	8	added	add	VERB
ajset-575	478	9	to	to	ADP
ajset-575	478	10	the	the	DET
ajset-575	478	11	3	3	NUM
ajset-575	478	12	–	–	PUNCT
ajset-575	478	13	space	space	NOUN
ajset-575	478	14	vector	vector	NOUN
ajset-575	478	15	momentum	momentum	NOUN
ajset-575	478	16	while	while	SCONJ
ajset-575	478	17	the	the	DET
ajset-575	478	18	spin	spin	NOUN
ajset-575	478	19	momentum	momentum	NOUN
ajset-575	478	20	is	be	AUX
ajset-575	478	21	maintained	maintain	VERB
ajset-575	478	22	at	at	ADP
ajset-575	478	23	right	right	ADJ
ajset-575	478	24	angles	angle	NOUN
ajset-575	478	25	to	to	ADP
ajset-575	478	26	the	the	DET
ajset-575	478	27	direction	direction	NOUN
ajset-575	478	28	of	of	ADP
ajset-575	478	29	motion	motion	NOUN
ajset-575	478	30	.	.	PUNCT
ajset-575	479	1	the	the	DET
ajset-575	479	2	dashed	dash	VERB
ajset-575	479	3	lines	line	NOUN
ajset-575	479	4	indicate	indicate	VERB
ajset-575	479	5	the	the	DET
ajset-575	479	6	resultant	resultant	NOUN
ajset-575	479	7	momenta	momenta	NOUN
ajset-575	479	8	with	with	ADP
ajset-575	479	9	added	add	VERB
ajset-575	479	10	potentials	potential	NOUN
ajset-575	479	11	..	..	PUNCT
ajset-575	480	1	if	if	SCONJ
ajset-575	480	2	we	we	PRON
ajset-575	480	3	are	be	AUX
ajset-575	480	4	going	go	VERB
ajset-575	480	5	to	to	PART
ajset-575	480	6	conserve	conserve	VERB
ajset-575	480	7	the	the	DET
ajset-575	480	8	rest	rest	NOUN
ajset-575	480	9	mass	mass	NOUN
ajset-575	480	10	energy	energy	NOUN
ajset-575	480	11	and	and	CCONJ
ajset-575	480	12	momentum	momentum	NOUN
ajset-575	480	13	in	in	ADP
ajset-575	480	14	the	the	DET
ajset-575	480	15	rotational	rotational	ADJ
ajset-575	480	16	direction	direction	NOUN
ajset-575	480	17	(	(	PUNCT
ajset-575	480	18	as	as	ADP
ajset-575	480	19	in	in	ADP
ajset-575	480	20	the	the	DET
ajset-575	480	21	special	special	ADJ
ajset-575	480	22	theory	theory	NOUN
ajset-575	480	23	of	of	ADP
ajset-575	480	24	relativity	relativity	NOUN
ajset-575	480	25	)	)	PUNCT
ajset-575	480	26	,	,	PUNCT
ajset-575	480	27	while	while	SCONJ
ajset-575	480	28	applying	apply	VERB
ajset-575	480	29	potentials	potential	NOUN
ajset-575	480	30	from	from	ADP
ajset-575	480	31	an	an	DET
ajset-575	480	32	electromagnetic	electromagnetic	ADJ
ajset-575	480	33	field	field	NOUN
ajset-575	480	34	that	that	PRON
ajset-575	480	35	change	change	VERB
ajset-575	480	36	the	the	DET
ajset-575	480	37	direction	direction	NOUN
ajset-575	480	38	of	of	ADP
ajset-575	480	39	the	the	DET
ajset-575	480	40	electron	electron	NOUN
ajset-575	480	41	’s	’s	PART
ajset-575	480	42	angular	angular	ADJ
ajset-575	480	43	and	and	CCONJ
ajset-575	480	44	magnetic	magnetic	ADJ
ajset-575	480	45	moment	moment	NOUN
ajset-575	480	46	,	,	PUNCT
ajset-575	480	47	then	then	ADV
ajset-575	480	48	the	the	DET
ajset-575	480	49	magnitude	magnitude	NOUN
ajset-575	480	50	of	of	ADP
ajset-575	480	51	mvr	mvr	PROPN
ajset-575	480	52	will	will	AUX
ajset-575	480	53	remain	remain	VERB
ajset-575	480	54	=	=	SYM
ajset-575	480	55	m0c	m0c	ADJ
ajset-575	480	56	=	=	SYM
ajset-575	480	57	pr	pr	NOUN
ajset-575	480	58	,	,	PUNCT
ajset-575	480	59	but	but	CCONJ
ajset-575	480	60	note	note	VERB
ajset-575	480	61	pr	pr	NOUN
ajset-575	480	62	must	must	AUX
ajset-575	480	63	change	change	VERB
ajset-575	480	64	in	in	ADP
ajset-575	480	65	direction	direction	NOUN
ajset-575	480	66	in	in	ADP
ajset-575	480	67	order	order	NOUN
ajset-575	480	68	to	to	PART
ajset-575	480	69	remain	remain	VERB
ajset-575	480	70	at	at	ADP
ajset-575	480	71	right	right	ADJ
ajset-575	480	72	angles	angle	NOUN
ajset-575	480	73	to	to	ADP
ajset-575	480	74	the	the	DET
ajset-575	480	75	translational	translational	ADJ
ajset-575	480	76	motion	motion	NOUN
ajset-575	480	77	and	and	CCONJ
ajset-575	480	78	momentum	momentum	NOUN
ajset-575	480	79	of	of	ADP
ajset-575	480	80	pv	pv	NOUN
ajset-575	480	81	=	=	SYM
ajset-575	480	82	mvv	mvv	NOUN
ajset-575	480	83	.	.	PUNCT
ajset-575	481	1	p02	p02	X
ajset-575	481	2	=	=	SYM
ajset-575	481	3	1	1	NUM
ajset-575	481	4	(	(	PUNCT
ajset-575	481	5	,	,	PUNCT
ajset-575	481	6	p	p	NOUN
ajset-575	481	7	)	)	PUNCT
ajset-575	481	8	3mc	3mc	ADJ
ajset-575	481	9	2	2	NUM
ajset-575	481	10	2	2	NUM
ajset-575	481	11	2	2	NUM
ajset-575	481	12	e	e	NOUN
ajset-575	481	13	e	e	ADP
ajset-575	481	14	p0	p0	PROPN
ajset-575	481	15	c	c	PROPN
ajset-575	481	16	a0	a0	PROPN
ajset-575	481	17	=	=	SYM
ajset-575	481	18	1	1	NUM
ajset-575	481	19	(	(	PUNCT
ajset-575	481	20	,	,	PUNCT
ajset-575	481	21	p	p	X
ajset-575	481	22	c	c	PROPN
ajset-575	481	23	a	a	PRON
ajset-575	481	24	)	)	PUNCT
ajset-575	481	25	3mc	3mc	NOUN
ajset-575	481	26	in	in	ADP
ajset-575	481	27	comparison	comparison	NOUN
ajset-575	481	28	,	,	PUNCT
ajset-575	481	29	as	as	SCONJ
ajset-575	481	30	noted	note	VERB
ajset-575	481	31	in	in	ADP
ajset-575	481	32	previous	previous	ADJ
ajset-575	481	33	sections	section	NOUN
ajset-575	481	34	,	,	PUNCT
ajset-575	481	35	the	the	DET
ajset-575	481	36	rotating	rotate	VERB
ajset-575	481	37	wave	wave	NOUN
ajset-575	481	38	momenta	momenta	NOUN
ajset-575	481	39	can	can	AUX
ajset-575	481	40	be	be	AUX
ajset-575	481	41	added	add	VERB
ajset-575	481	42	vectorially	vectorially	ADV
ajset-575	481	43	:	:	PUNCT
ajset-575	481	44	pc	pc	NOUN
ajset-575	481	45	=	=	NOUN
ajset-575	482	1	pv	pv	NOUN
ajset-575	482	2	pr	pr	NOUN
ajset-575	482	3	for	for	ADP
ajset-575	482	4	special	special	ADJ
ajset-575	482	5	theory	theory	NOUN
ajset-575	482	6	of	of	ADP
ajset-575	482	7	relativity	relativity	NOUN
ajset-575	482	8	(	(	PUNCT
ajset-575	482	9	constant	constant	ADJ
ajset-575	482	10	motion	motion	NOUN
ajset-575	482	11	)	)	PUNCT
ajset-575	482	12	,	,	PUNCT
ajset-575	482	13	pc	pc	NOUN
ajset-575	482	14	=	=	NOUN
ajset-575	482	15	pv	pv	NOUN
ajset-575	482	16	pr	pr	NOUN
ajset-575	482	17	pt	pt	NOUN
ajset-575	482	18	for	for	ADP
ajset-575	482	19	general	general	ADJ
ajset-575	482	20	relativity	relativity	NOUN
ajset-575	482	21	and	and	CCONJ
ajset-575	482	22	likewise	likewise	ADV
ajset-575	482	23	when	when	SCONJ
ajset-575	482	24	squared	square	VERB
ajset-575	482	25	:	:	PUNCT
ajset-575	482	26	pc2	pc2	NOUN
ajset-575	482	27	=	=	SYM
ajset-575	482	28	pv2	pv2	NOUN
ajset-575	482	29	pr2	pr2	NOUN
ajset-575	482	30	=	=	NOUN
ajset-575	482	31	mc2	mc2	PROPN
ajset-575	482	32	=	=	SYM
ajset-575	482	33	(	(	PUNCT
ajset-575	482	34	mvv	mvv	NOUN
ajset-575	482	35	)	)	PUNCT
ajset-575	482	36	2	2	NUM
ajset-575	482	37	(	(	PUNCT
ajset-575	482	38	mvr)2	mvr)2	NOUN
ajset-575	482	39	pc2	pc2	NOUN
ajset-575	482	40	=	=	SYM
ajset-575	482	41	pv2	pv2	NOUN
ajset-575	482	42	pr2	pr2	NOUN
ajset-575	482	43	pt2	pt2	PROPN
ajset-575	482	44	=	=	SYM
ajset-575	482	45	mc2	mc2	PROPN
ajset-575	482	46	=	=	PUNCT
ajset-575	483	1	(	(	PUNCT
ajset-575	483	2	mvv)2	mvv)2	PROPN
ajset-575	483	3	(	(	PUNCT
ajset-575	483	4	mvr)2	mvr)2	PROPN
ajset-575	483	5	(	(	PUNCT
ajset-575	483	6	mvt	mvt	PROPN
ajset-575	483	7	)	)	PUNCT
ajset-575	483	8	2	2	NUM
ajset-575	483	9	also	also	ADV
ajset-575	483	10	note	note	VERB
ajset-575	483	11	in	in	ADP
ajset-575	483	12	the	the	DET
ajset-575	483	13	above	above	NOUN
ajset-575	483	14	it	it	PRON
ajset-575	483	15	is	be	AUX
ajset-575	483	16	implicit	implicit	ADJ
ajset-575	483	17	that	that	SCONJ
ajset-575	483	18	:	:	PUNCT
ajset-575	483	19	pv	pv	NOUN
ajset-575	483	20	=	=	SYM
ajset-575	483	21	p1	p1	NOUN
ajset-575	483	22	p2	p2	PROPN
ajset-575	483	23	p3	p3	PROPN
ajset-575	483	24	=	=	PUNCT
ajset-575	483	25	px	px	PROPN
ajset-575	483	26	py	py	PROPN
ajset-575	483	27	pz	pz	PROPN
ajset-575	483	28	.	.	PUNCT
ajset-575	484	1	these	these	PRON
ajset-575	484	2	are	be	AUX
ajset-575	484	3	mutually	mutually	ADV
ajset-575	484	4	orthogonal	orthogonal	ADJ
ajset-575	484	5	3	3	NUM
ajset-575	484	6	dimensional	dimensional	ADJ
ajset-575	484	7	momentum	momentum	NOUN
ajset-575	484	8	vectors	vector	NOUN
ajset-575	484	9	and	and	CCONJ
ajset-575	484	10	when	when	SCONJ
ajset-575	484	11	squared	square	VERB
ajset-575	484	12	’	'	PUNCT
ajset-575	484	13	pv2	pv2	NOUN
ajset-575	484	14	=	=	PRON
ajset-575	484	15	p12	p12	VERB
ajset-575	484	16	p22	p22	ADJ
ajset-575	484	17	p32	p32	NOUN
ajset-575	484	18	(	(	PUNCT
ajset-575	484	19	57	57	NUM
ajset-575	484	20	)	)	PUNCT
ajset-575	484	21	also	also	ADV
ajset-575	484	22	note	note	VERB
ajset-575	484	23	0	0	NUM
ajset-575	484	24	=	=	SYM
ajset-575	484	25	pc2	pc2	NOUN
ajset-575	484	26	pv2	pv2	NOUN
ajset-575	484	27	pr2	pr2	NOUN
ajset-575	484	28	ipr	ipr	PROPN
ajset-575	484	29	=	=	SYM
ajset-575	484	30	(	(	PUNCT
ajset-575	484	31	ipc	ipc	PROPN
ajset-575	484	32	pv	pv	PROPN
ajset-575	484	33	)	)	PUNCT
ajset-575	484	34	(	(	PUNCT
ajset-575	484	35	ipc	ipc	PROPN
ajset-575	484	36	pv	pv	PROPN
ajset-575	484	37	)	)	PUNCT
ajset-575	484	38	if	if	SCONJ
ajset-575	484	39	the	the	DET
ajset-575	484	40	vector	vector	NOUN
ajset-575	484	41	potential	potential	NOUN
ajset-575	484	42	and	and	CCONJ
ajset-575	484	43	scalar	scalar	NOUN
ajset-575	484	44	are	be	AUX
ajset-575	484	45	added	add	VERB
ajset-575	484	46	in	in	ADP
ajset-575	484	47	the	the	DET
ajset-575	484	48	same	same	ADJ
ajset-575	484	49	way	way	NOUN
ajset-575	484	50	as	as	ADP
ajset-575	484	51	dirac	dirac	NOUN
ajset-575	484	52	:	:	PUNCT
ajset-575	484	53	e	e	X
ajset-575	484	54	e	e	X
ajset-575	484	55	e	e	X
ajset-575	484	56	pc	pc	NOUN
ajset-575	484	57	a0	a0	NOUN
ajset-575	484	58	=	=	PUNCT
ajset-575	485	1	pv	pv	INTJ
ajset-575	485	2	av	av	PROPN
ajset-575	485	3	pr	pr	PROPN
ajset-575	485	4	ar	ar	PROPN
ajset-575	485	5	c	c	PROPN
ajset-575	485	6	c	c	PROPN
ajset-575	485	7	c	c	NOUN
ajset-575	485	8	where	where	SCONJ
ajset-575	485	9	here	here	ADV
ajset-575	485	10	av	av	PROPN
ajset-575	486	1	=	=	PUNCT
ajset-575	486	2	the	the	DET
ajset-575	486	3	real	real	ADJ
ajset-575	486	4	3	3	NUM
ajset-575	486	5	dimensional	dimensional	ADJ
ajset-575	486	6	vector	vector	NOUN
ajset-575	486	7	potential	potential	NOUN
ajset-575	486	8	=	=	NOUN
ajset-575	486	9	ax	ax	NOUN
ajset-575	486	10	ay	ay	PROPN
ajset-575	486	11	az	az	PROPN
ajset-575	486	12	,	,	PUNCT
ajset-575	486	13	and	and	CCONJ
ajset-575	486	14	then	then	ADV
ajset-575	486	15	after	after	ADP
ajset-575	486	16	squaring	square	VERB
ajset-575	486	17	we	we	PRON
ajset-575	486	18	get	get	VERB
ajset-575	486	19	:	:	PUNCT
ajset-575	486	20	2	2	NUM
ajset-575	486	21	2	2	NUM
ajset-575	486	22	2	2	NUM
ajset-575	486	23	e	e	NOUN
ajset-575	486	24	e	e	X
ajset-575	486	25	e	e	X
ajset-575	486	26	pc	pc	NOUN
ajset-575	486	27	ac	ac	ADV
ajset-575	487	1	=	=	PUNCT
ajset-575	487	2	pv	pv	INTJ
ajset-575	487	3	av	av	PROPN
ajset-575	487	4	pr	pr	PROPN
ajset-575	487	5	ar	ar	PROPN
ajset-575	487	6	(	(	PUNCT
ajset-575	487	7	60	60	NUM
ajset-575	487	8	)	)	PUNCT
ajset-575	487	9	c	c	NOUN
ajset-575	487	10	c	c	NOUN
ajset-575	487	11	c	c	X
ajset-575	487	12	(	(	PUNCT
ajset-575	487	13	5	5	NUM
ajset-575	487	14	(	(	PUNCT
ajset-575	487	15	5	5	NUM
ajset-575	487	16	(	(	PUNCT
ajset-575	487	17	5	5	NUM
ajset-575	487	18	(	(	PUNCT
ajset-575	487	19	5	5	NUM
ajset-575	487	20	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	487	21	academic	academic	ADJ
ajset-575	487	22	journal	journal	NOUN
ajset-575	487	23	of	of	ADP
ajset-575	487	24	science	science	NOUN
ajset-575	487	25	,	,	PUNCT
ajset-575	487	26	engineering	engineering	NOUN
ajset-575	487	27	and	and	CCONJ
ajset-575	487	28	technology	technology	NOUN
ajset-575	487	29	vol.6	vol.6	PROPN
ajset-575	487	30	,	,	PUNCT
ajset-575	487	31	issue	issue	NOUN
ajset-575	487	32	1	1	NUM
ajset-575	487	33	;	;	PUNCT
ajset-575	487	34	january	january	PROPN
ajset-575	487	35	febuary	febuary	PROPN
ajset-575	487	36	2021	2021	NUM
ajset-575	487	37	;	;	PUNCT
ajset-575	487	38	1252	1252	NUM
ajset-575	487	39	columbia	columbia	PROPN
ajset-575	487	40	rd	rd	PROPN
ajset-575	487	41	nw	nw	PROPN
ajset-575	487	42	,	,	PUNCT
ajset-575	487	43	washington	washington	PROPN
ajset-575	487	44	dc	dc	PROPN
ajset-575	487	45	,	,	PUNCT
ajset-575	487	46	united	united	PROPN
ajset-575	487	47	states	states	PROPN
ajset-575	487	48	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	487	49	;	;	PUNCT
ajset-575	487	50	mail	mail	NOUN
ajset-575	487	51	:	:	PUNCT
ajset-575	487	52	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	488	1	72	72	NUM
ajset-575	489	1	|	|	ADV
ajset-575	489	2	a	a	DET
ajset-575	489	3	c	c	NOUN
ajset-575	489	4	a	a	PRON
ajset-575	489	5	d	d	X
ajset-575	489	6	e	e	NOUN
ajset-575	489	7	m	m	NOUN
ajset-575	489	8	i	i	NOUN
ajset-575	489	9	c	c	NOUN
ajset-575	489	10	j	j	NOUN
ajset-575	489	11	o	o	X
ajset-575	489	12	u	u	NOUN
ajset-575	489	13	r	r	NOUN
ajset-575	489	14	n	n	NOUN
ajset-575	489	15	a	a	DET
ajset-575	489	16	l	l	NOUN
ajset-575	490	1	o	o	X
ajset-575	490	2	f	f	X
ajset-575	490	3	s	s	X
ajset-575	490	4	c	c	NOUN
ajset-575	491	1	i	i	NOUN
ajset-575	491	2	e	e	PROPN
ajset-575	491	3	n	n	PROPN
ajset-575	491	4	c	c	NOUN
ajset-575	491	5	e	e	X
ajset-575	491	6	,	,	PUNCT
ajset-575	491	7	e	e	PROPN
ajset-575	491	8	n	n	PRON
ajset-575	491	9	g	g	NOUN
ajset-575	491	10	i	i	PRON
ajset-575	491	11	n	n	VERB
ajset-575	491	12	e	e	NOUN
ajset-575	491	13	e	e	NOUN
ajset-575	491	14	r	r	VERB
ajset-575	491	15	i	i	PRON
ajset-575	491	16	n	n	CCONJ
ajset-575	491	17	g	g	PROPN
ajset-575	491	18	a	a	DET
ajset-575	491	19	n	n	NOUN
ajset-575	491	20	d	d	NOUN
ajset-575	491	21	t	t	NOUN
ajset-575	491	22	e	e	X
ajset-575	491	23	c	c	NOUN
ajset-575	491	24	h	h	NOUN
ajset-575	491	25	n	n	ADV
ajset-575	491	26	o	o	NOUN
ajset-575	491	27	l	l	NOUN
ajset-575	492	1	o	o	X
ajset-575	492	2	g	g	NOUN
ajset-575	492	3	y	y	PROPN
ajset-575	492	4	|	|	ADV
ajset-575	492	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	492	6	however	however	ADV
ajset-575	492	7	,	,	PUNCT
ajset-575	492	8	dirac	dirac	NOUN
ajset-575	492	9	gets	get	VERB
ajset-575	492	10	:	:	PUNCT
ajset-575	492	11	2	2	NUM
ajset-575	492	12	2	2	NUM
ajset-575	492	13	e	e	NOUN
ajset-575	492	14	e	e	X
ajset-575	492	15	2	2	NUM
ajset-575	492	16	pc	pc	NOUN
ajset-575	492	17	ac	ac	NOUN
ajset-575	492	18	=	=	PUNCT
ajset-575	493	1	pv	pv	INTJ
ajset-575	493	2	av	av	PROPN
ajset-575	493	3	pr	pr	VERB
ajset-575	493	4	extra	extra	ADJ
ajset-575	493	5	terms	term	NOUN
ajset-575	493	6	noted	note	VERB
ajset-575	493	7	in	in	ADP
ajset-575	493	8	(	(	PUNCT
ajset-575	493	9	d15	d15	NOUN
ajset-575	493	10	)	)	PUNCT
ajset-575	493	11	above	above	ADV
ajset-575	493	12	.	.	PUNCT
ajset-575	494	1	c	c	PROPN
ajset-575	494	2	c	c	X
ajset-575	494	3	(	(	PUNCT
ajset-575	494	4	61	61	NUM
ajset-575	494	5	)	)	PUNCT
ajset-575	494	6	since	since	SCONJ
ajset-575	494	7	we	we	PRON
ajset-575	494	8	are	be	AUX
ajset-575	494	9	conserving	conserve	VERB
ajset-575	494	10	magnitude	magnitude	NOUN
ajset-575	494	11	of	of	ADP
ajset-575	494	12	momentum	momentum	NOUN
ajset-575	494	13	and	and	CCONJ
ajset-575	494	14	energy	energy	NOUN
ajset-575	494	15	in	in	ADP
ajset-575	494	16	the	the	DET
ajset-575	494	17	rotation	rotation	NOUN
ajset-575	494	18	,	,	PUNCT
ajset-575	494	19	then	then	ADV
ajset-575	494	20	2	2	NUM
ajset-575	494	21	e	e	SYM
ajset-575	494	22	2	2	NUM
ajset-575	494	23	pr	pr	NOUN
ajset-575	494	24	ar	ar	NOUN
ajset-575	494	25	=	=	NOUN
ajset-575	494	26	pr	pr	NOUN
ajset-575	494	27	and	and	CCONJ
ajset-575	494	28	thus	thus	ADV
ajset-575	494	29	:	:	PUNCT
ajset-575	494	30	c	c	PROPN
ajset-575	494	31	e	e	X
ajset-575	494	32	ar	ar	NOUN
ajset-575	494	33	=	=	SYM
ajset-575	494	34	2pr	2pr	NOUN
ajset-575	494	35	=	=	PUNCT
ajset-575	494	36	2m0c	2m0c	NOUN
ajset-575	494	37	=	=	SYM
ajset-575	494	38	2	2	NUM
ajset-575	494	39	c	c	NOUN
ajset-575	494	40	r0	r0	NOUN
ajset-575	494	41	recall	recall	NOUN
ajset-575	494	42	from	from	ADP
ajset-575	494	43	the	the	DET
ajset-575	494	44	previous	previous	ADJ
ajset-575	494	45	section	section	NOUN
ajset-575	494	46	5	5	NUM
ajset-575	494	47	.	.	PUNCT
ajset-575	495	1	a	a	DET
ajset-575	495	2	definition	definition	NOUN
ajset-575	495	3	of	of	ADP
ajset-575	495	4	rest	rest	NOUN
ajset-575	495	5	(	(	PUNCT
ajset-575	495	6	energy	energy	NOUN
ajset-575	495	7	)	)	PUNCT
ajset-575	495	8	mass	mass	NOUN
ajset-575	495	9	that	that	PRON
ajset-575	495	10	h	h	NOUN
ajset-575	495	11	=	=	NOUN
ajset-575	495	12	2	2	NUM
ajset-575	495	13	r0m0c	r0m0c	NUM
ajset-575	495	14	and	and	CCONJ
ajset-575	495	15	thus	thus	ADV
ajset-575	495	16	=	=	X
ajset-575	495	17	r0m0c	r0m0c	NUM
ajset-575	495	18	.	.	PUNCT
ajset-575	496	1	thus	thus	ADV
ajset-575	496	2	the	the	DET
ajset-575	496	3	rotating	rotate	VERB
ajset-575	496	4	wave	wave	NOUN
ajset-575	496	5	has	have	VERB
ajset-575	496	6	an	an	DET
ajset-575	496	7	angular	angular	ADJ
ajset-575	496	8	moment	moment	NOUN
ajset-575	496	9	l	l	NOUN
ajset-575	496	10	=	=	PUNCT
ajset-575	496	11	which	which	PRON
ajset-575	496	12	agrees	agree	VERB
ajset-575	496	13	with	with	ADP
ajset-575	496	14	an	an	DET
ajset-575	496	15	orbital	orbital	ADJ
ajset-575	496	16	state	state	NOUN
ajset-575	496	17	of	of	ADP
ajset-575	496	18	n	n	NOUN
ajset-575	496	19	=	=	NOUN
ajset-575	496	20	1	1	NUM
ajset-575	496	21	where	where	SCONJ
ajset-575	496	22	n	n	ADV
ajset-575	496	23	=	=	PUNCT
ajset-575	496	24	[	[	PUNCT
ajset-575	496	25	(	(	PUNCT
ajset-575	496	26	1)]1/2	1)]1/2	NUM
ajset-575	496	27	and	and	CCONJ
ajset-575	496	28	=	=	NOUN
ajset-575	496	29	0	0	NUM
ajset-575	496	30	.	.	PUNCT
ajset-575	497	1	the	the	DET
ajset-575	497	2	magnetic	magnetic	ADJ
ajset-575	497	3	dipole	dipole	NOUN
ajset-575	497	4	moment	moment	NOUN
ajset-575	497	5	is	be	AUX
ajset-575	497	6	thus	thus	ADV
ajset-575	497	7	:	:	PUNCT
ajset-575	498	1	e	e	X
ajset-575	498	2	e	e	X
ajset-575	498	3	e	e	X
ajset-575	498	4	1	1	NUM
ajset-575	498	5	=	=	SYM
ajset-575	498	6	l	l	NOUN
ajset-575	498	7	=	=	PUNCT
ajset-575	498	8	=	=	SYM
ajset-575	498	9	r0m0c	r0m0c	PUNCT
ajset-575	498	10	=	=	SYM
ajset-575	498	11	er0c	er0c	ADJ
ajset-575	498	12	2m0	2m0	NUM
ajset-575	498	13	2m0	2m0	NUM
ajset-575	498	14	2m0	2m0	NUM
ajset-575	498	15	2	2	NUM
ajset-575	498	16	note	note	NOUN
ajset-575	498	17	,	,	PUNCT
ajset-575	498	18	a	a	DET
ajset-575	498	19	light	light	ADJ
ajset-575	498	20	wave	wave	NOUN
ajset-575	498	21	has	have	VERB
ajset-575	498	22	an	an	DET
ajset-575	498	23	energy	energy	NOUN
ajset-575	498	24	defined	define	VERB
ajset-575	498	25	by	by	ADP
ajset-575	498	26	the	the	DET
ajset-575	498	27	poynting	poynte	VERB
ajset-575	498	28	vector	vector	NOUN
ajset-575	498	29	:	:	PUNCT
ajset-575	498	30	s=	s=	NOUN
ajset-575	498	31	e	e	NOUN
ajset-575	498	32	b/	b/	NOUN
ajset-575	498	33	0	0	X
ajset-575	498	34	.	.	PUNCT
ajset-575	499	1	s	s	PART
ajset-575	499	2	is	be	AUX
ajset-575	499	3	in	in	ADP
ajset-575	499	4	the	the	DET
ajset-575	499	5	direction	direction	NOUN
ajset-575	499	6	of	of	ADP
ajset-575	499	7	motion	motion	NOUN
ajset-575	499	8	of	of	ADP
ajset-575	499	9	the	the	DET
ajset-575	499	10	light	light	ADJ
ajset-575	499	11	wave	wave	NOUN
ajset-575	499	12	,	,	PUNCT
ajset-575	499	13	thus	thus	ADV
ajset-575	499	14	the	the	DET
ajset-575	499	15	poynting	poynte	VERB
ajset-575	499	16	vector	vector	NOUN
ajset-575	499	17	for	for	ADP
ajset-575	499	18	the	the	DET
ajset-575	499	19	rotating	rotate	VERB
ajset-575	499	20	wave	wave	NOUN
ajset-575	499	21	will	will	AUX
ajset-575	499	22	be	be	AUX
ajset-575	499	23	in	in	ADP
ajset-575	499	24	the	the	DET
ajset-575	499	25	spiral	spiral	ADJ
ajset-575	499	26	or	or	CCONJ
ajset-575	499	27	helical	helical	ADJ
ajset-575	499	28	direction	direction	NOUN
ajset-575	499	29	:	:	PUNCT
ajset-575	499	30	s=	s=	PROPN
ajset-575	499	31	ecs	ecs	PROPN
ajset-575	499	32	.	.	PUNCT
ajset-575	500	1	since	since	SCONJ
ajset-575	500	2	in	in	ADP
ajset-575	500	3	the	the	DET
ajset-575	500	4	light	light	ADJ
ajset-575	500	5	wave	wave	NOUN
ajset-575	500	6	e	e	PROPN
ajset-575	500	7	=	=	NOUN
ajset-575	500	8	cb	cb	PROPN
ajset-575	500	9	,	,	PUNCT
ajset-575	500	10	then	then	ADV
ajset-575	500	11	for	for	ADP
ajset-575	500	12	the	the	DET
ajset-575	500	13	rotating	rotate	VERB
ajset-575	500	14	wave	wave	NOUN
ajset-575	500	15	:	:	PUNCT
ajset-575	500	16	eb	eb	PROPN
ajset-575	500	17	e2	e2	PROPN
ajset-575	500	18	s	s	PART
ajset-575	500	19	=	=	PUNCT
ajset-575	500	20	=	=	X
ajset-575	500	21	and	and	CCONJ
ajset-575	500	22	0	0	NUM
ajset-575	500	23	c	c	NOUN
ajset-575	500	24	0	0	NUM
ajset-575	500	25	ds	ds	PROPN
ajset-575	500	26	e	e	X
ajset-575	500	27	de	de	X
ajset-575	500	28	e	e	PROPN
ajset-575	500	29	kqvt	kqvt	X
ajset-575	500	30	=	=	SYM
ajset-575	500	31	2	2	NUM
ajset-575	500	32	=	=	SYM
ajset-575	500	33	4	4	NUM
ajset-575	500	34	3	3	NUM
ajset-575	500	35	dt	dt	NOUN
ajset-575	500	36	0c	0c	NOUN
ajset-575	500	37	dt	dt	X
ajset-575	500	38	0c	0c	PROPN
ajset-575	500	39	d	d	PROPN
ajset-575	500	40	12	12	NUM
ajset-575	500	41	.	.	PUNCT
ajset-575	501	1	an	an	DET
ajset-575	501	2	explanation	explanation	NOUN
ajset-575	501	3	of	of	ADP
ajset-575	501	4	the	the	DET
ajset-575	501	5	kaluza	kaluza	PROPN
ajset-575	501	6	5th	5th	ADJ
ajset-575	501	7	dimension	dimension	NOUN
ajset-575	501	8	by	by	ADP
ajset-575	501	9	the	the	DET
ajset-575	501	10	rotating	rotate	VERB
ajset-575	501	11	wave	wave	NOUN
ajset-575	501	12	.	.	PUNCT
ajset-575	502	1	my	my	PRON
ajset-575	502	2	initial	initial	ADJ
ajset-575	502	3	references	reference	NOUN
ajset-575	502	4	on	on	ADP
ajset-575	502	5	kaluza	kaluza	PROPN
ajset-575	502	6	’s	’s	PART
ajset-575	502	7	idea	idea	NOUN
ajset-575	502	8	are	be	AUX
ajset-575	502	9	from	from	ADP
ajset-575	502	10	the	the	DET
ajset-575	502	11	internet	internet	NOUN
ajset-575	502	12	article	article	NOUN
ajset-575	502	13	of	of	ADP
ajset-575	502	14	william	william	PROPN
ajset-575	502	15	straub	straub	PROPN
ajset-575	502	16	phd	phd	PROPN
ajset-575	502	17	:	:	PUNCT
ajset-575	502	18	kaluzaklein	kaluzaklein	PROPN
ajset-575	502	19	for	for	ADP
ajset-575	502	20	kids	kid	NOUN
ajset-575	502	21	june	june	PROPN
ajset-575	502	22	27	27	NUM
ajset-575	502	23	2014	2014	NUM
ajset-575	503	1	[	[	X
ajset-575	503	2	3	3	X
ajset-575	503	3	]	]	PUNCT
ajset-575	503	4	and	and	CCONJ
ajset-575	503	5	i	i	PRON
ajset-575	503	6	appreciate	appreciate	VERB
ajset-575	503	7	his	his	PRON
ajset-575	503	8	sharing	sharing	NOUN
ajset-575	503	9	of	of	ADP
ajset-575	503	10	knowledge	knowledge	NOUN
ajset-575	503	11	as	as	SCONJ
ajset-575	503	12	i	i	PRON
ajset-575	503	13	do	do	VERB
ajset-575	503	14	by	by	ADP
ajset-575	503	15	many	many	ADJ
ajset-575	503	16	others	other	NOUN
ajset-575	503	17	.	.	PUNCT
ajset-575	504	1	i	i	PRON
ajset-575	504	2	also	also	ADV
ajset-575	504	3	reviewed	review	VERB
ajset-575	504	4	the	the	DET
ajset-575	504	5	kaluza	kaluza	PROPN
ajset-575	504	6	klein	klein	PROPN
ajset-575	504	7	site	site	PROPN
ajset-575	504	8	by	by	ADP
ajset-575	504	9	victor	victor	PROPN
ajset-575	504	10	toth	toth	PROPN
ajset-575	504	11	as	as	SCONJ
ajset-575	504	12	he	he	PRON
ajset-575	504	13	always	always	ADV
ajset-575	504	14	tries	try	VERB
ajset-575	504	15	to	to	PART
ajset-575	504	16	make	make	VERB
ajset-575	504	17	physics	physics	NOUN
ajset-575	504	18	as	as	ADV
ajset-575	504	19	simple	simple	ADJ
ajset-575	504	20	as	as	ADP
ajset-575	504	21	possible	possible	ADJ
ajset-575	504	22	and	and	CCONJ
ajset-575	504	23	intuitive	intuitive	ADJ
ajset-575	504	24	,	,	PUNCT
ajset-575	504	25	yet	yet	ADV
ajset-575	504	26	comprehensive	comprehensive	ADJ
ajset-575	504	27	.	.	PUNCT
ajset-575	505	1	[	[	X
ajset-575	505	2	4	4	X
ajset-575	505	3	]	]	PUNCT
ajset-575	505	4	i	i	PRON
ajset-575	505	5	looked	look	VERB
ajset-575	505	6	at	at	ADP
ajset-575	505	7	many	many	ADJ
ajset-575	505	8	other	other	ADJ
ajset-575	505	9	sites	site	NOUN
ajset-575	505	10	but	but	CCONJ
ajset-575	505	11	got	get	VERB
ajset-575	505	12	the	the	DET
ajset-575	505	13	kaluza	kaluza	PROPN
ajset-575	505	14	idea	idea	NOUN
ajset-575	505	15	clear	clear	ADJ
ajset-575	505	16	from	from	ADP
ajset-575	505	17	those	those	DET
ajset-575	505	18	two	two	NUM
ajset-575	505	19	.	.	PUNCT
ajset-575	506	1	in	in	ADP
ajset-575	506	2	1919	1919	NUM
ajset-575	506	3	the	the	DET
ajset-575	506	4	german	german	ADJ
ajset-575	506	5	mathematician	mathematician	NOUN
ajset-575	506	6	theodor	theodor	PROPN
ajset-575	506	7	kaluza	kaluza	PROPN
ajset-575	506	8	developed	develop	VERB
ajset-575	506	9	a	a	DET
ajset-575	506	10	theory	theory	NOUN
ajset-575	506	11	in	in	ADP
ajset-575	506	12	5	5	NUM
ajset-575	506	13	dimensional	dimensional	ADJ
ajset-575	506	14	reimannian	reimannian	ADJ
ajset-575	506	15	geometry	geometry	NOUN
ajset-575	506	16	from	from	ADP
ajset-575	506	17	which	which	PRON
ajset-575	506	18	electromagnetism	electromagnetism	NOUN
ajset-575	506	19	appeared	appear	VERB
ajset-575	506	20	to	to	PART
ajset-575	506	21	be	be	AUX
ajset-575	506	22	a	a	DET
ajset-575	506	23	natural	natural	ADJ
ajset-575	506	24	consequence	consequence	NOUN
ajset-575	506	25	of	of	ADP
ajset-575	506	26	the	the	DET
ajset-575	506	27	5th	5th	ADJ
ajset-575	506	28	dimension	dimension	NOUN
ajset-575	506	29	.	.	PUNCT
ajset-575	507	1	finnish	finnish	ADJ
ajset-575	507	2	physicist	physicist	NOUN
ajset-575	507	3	gunnar	gunnar	PROPN
ajset-575	507	4	nordstrom	nordstrom	PROPN
ajset-575	507	5	had	have	AUX
ajset-575	507	6	proposed	propose	VERB
ajset-575	507	7	a	a	DET
ajset-575	507	8	similar	similar	ADJ
ajset-575	507	9	idea	idea	NOUN
ajset-575	507	10	earlier	early	ADV
ajset-575	507	11	in	in	ADP
ajset-575	507	12	1914	1914	NUM
ajset-575	507	13	but	but	CCONJ
ajset-575	507	14	it	it	PRON
ajset-575	507	15	was	be	AUX
ajset-575	507	16	ignored	ignore	VERB
ajset-575	507	17	.	.	PUNCT
ajset-575	508	1	kaluza	kaluza	PROPN
ajset-575	508	2	immediately	immediately	ADV
ajset-575	508	3	approached	approach	VERB
ajset-575	508	4	(	(	PUNCT
ajset-575	508	5	6	6	NUM
ajset-575	508	6	(	(	PUNCT
ajset-575	508	7	6	6	NUM
ajset-575	508	8	(	(	PUNCT
ajset-575	508	9	6	6	NUM
ajset-575	508	10	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	508	11	academic	academic	ADJ
ajset-575	508	12	journal	journal	NOUN
ajset-575	508	13	of	of	ADP
ajset-575	508	14	science	science	NOUN
ajset-575	508	15	,	,	PUNCT
ajset-575	508	16	engineering	engineering	NOUN
ajset-575	508	17	and	and	CCONJ
ajset-575	508	18	technology	technology	NOUN
ajset-575	508	19	vol.6	vol.6	PROPN
ajset-575	508	20	,	,	PUNCT
ajset-575	508	21	issue	issue	NOUN
ajset-575	508	22	1	1	NUM
ajset-575	508	23	;	;	PUNCT
ajset-575	508	24	january	january	PROPN
ajset-575	508	25	febuary	febuary	PROPN
ajset-575	508	26	2021	2021	NUM
ajset-575	508	27	;	;	PUNCT
ajset-575	508	28	1252	1252	NUM
ajset-575	508	29	columbia	columbia	PROPN
ajset-575	508	30	rd	rd	PROPN
ajset-575	508	31	nw	nw	PROPN
ajset-575	508	32	,	,	PUNCT
ajset-575	508	33	washington	washington	PROPN
ajset-575	508	34	dc	dc	PROPN
ajset-575	508	35	,	,	PUNCT
ajset-575	508	36	united	united	PROPN
ajset-575	508	37	states	states	PROPN
ajset-575	508	38	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	508	39	;	;	PUNCT
ajset-575	508	40	mail	mail	NOUN
ajset-575	508	41	:	:	PUNCT
ajset-575	509	1	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	510	1	73	73	NUM
ajset-575	511	1	|	|	ADV
ajset-575	511	2	a	a	DET
ajset-575	511	3	c	c	NOUN
ajset-575	511	4	a	a	PRON
ajset-575	511	5	d	d	X
ajset-575	511	6	e	e	NOUN
ajset-575	511	7	m	m	NOUN
ajset-575	511	8	i	i	NOUN
ajset-575	511	9	c	c	NOUN
ajset-575	511	10	j	j	NOUN
ajset-575	511	11	o	o	X
ajset-575	511	12	u	u	NOUN
ajset-575	511	13	r	r	NOUN
ajset-575	511	14	n	n	NOUN
ajset-575	511	15	a	a	DET
ajset-575	511	16	l	l	NOUN
ajset-575	512	1	o	o	X
ajset-575	512	2	f	f	X
ajset-575	512	3	s	s	X
ajset-575	512	4	c	c	NOUN
ajset-575	513	1	i	i	NOUN
ajset-575	513	2	e	e	PROPN
ajset-575	513	3	n	n	PROPN
ajset-575	513	4	c	c	NOUN
ajset-575	513	5	e	e	X
ajset-575	513	6	,	,	PUNCT
ajset-575	513	7	e	e	PROPN
ajset-575	513	8	n	n	PRON
ajset-575	513	9	g	g	NOUN
ajset-575	513	10	i	i	PRON
ajset-575	513	11	n	n	VERB
ajset-575	513	12	e	e	NOUN
ajset-575	513	13	e	e	NOUN
ajset-575	513	14	r	r	VERB
ajset-575	513	15	i	i	PRON
ajset-575	513	16	n	n	CCONJ
ajset-575	513	17	g	g	PROPN
ajset-575	513	18	a	a	DET
ajset-575	513	19	n	n	NOUN
ajset-575	513	20	d	d	NOUN
ajset-575	513	21	t	t	NOUN
ajset-575	513	22	e	e	X
ajset-575	513	23	c	c	NOUN
ajset-575	513	24	h	h	NOUN
ajset-575	513	25	n	n	ADV
ajset-575	513	26	o	o	NOUN
ajset-575	513	27	l	l	NOUN
ajset-575	514	1	o	o	X
ajset-575	514	2	g	g	NOUN
ajset-575	514	3	y	y	PROPN
ajset-575	514	4	|	|	ADV
ajset-575	514	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	514	6	einstein	einstein	ADV
ajset-575	514	7	who	who	PRON
ajset-575	514	8	became	become	VERB
ajset-575	514	9	very	very	ADV
ajset-575	514	10	interested	interested	ADJ
ajset-575	514	11	and	and	CCONJ
ajset-575	514	12	it	it	PRON
ajset-575	514	13	was	be	AUX
ajset-575	514	14	finally	finally	ADV
ajset-575	514	15	published	publish	VERB
ajset-575	514	16	in	in	ADP
ajset-575	514	17	1921	1921	NUM
ajset-575	514	18	under	under	ADP
ajset-575	514	19	einstein	einstein	PROPN
ajset-575	514	20	’s	’s	PART
ajset-575	514	21	recommendation	recommendation	NOUN
ajset-575	514	22	.	.	PUNCT
ajset-575	515	1	for	for	ADP
ajset-575	515	2	almost	almost	ADV
ajset-575	515	3	a	a	DET
ajset-575	515	4	hundred	hundred	NUM
ajset-575	515	5	years	year	NOUN
ajset-575	515	6	physicists	physicist	NOUN
ajset-575	515	7	and	and	CCONJ
ajset-575	515	8	mathematicians	mathematician	NOUN
ajset-575	515	9	have	have	AUX
ajset-575	515	10	studied	study	VERB
ajset-575	515	11	and	and	CCONJ
ajset-575	515	12	tried	try	VERB
ajset-575	515	13	to	to	PART
ajset-575	515	14	make	make	VERB
ajset-575	515	15	clear	clear	ADJ
ajset-575	515	16	sense	sense	NOUN
ajset-575	515	17	of	of	ADP
ajset-575	515	18	the	the	DET
ajset-575	515	19	kaluza	kaluza	PROPN
ajset-575	515	20	“	"	PUNCT
ajset-575	515	21	miracle	miracle	NOUN
ajset-575	515	22	”	"	PUNCT
ajset-575	515	23	.	.	PUNCT
ajset-575	516	1	the	the	DET
ajset-575	516	2	basic	basic	ADJ
ajset-575	516	3	idea	idea	NOUN
ajset-575	516	4	is	be	AUX
ajset-575	516	5	that	that	SCONJ
ajset-575	516	6	the	the	DET
ajset-575	516	7	extra	extra	ADJ
ajset-575	516	8	components	component	NOUN
ajset-575	516	9	of	of	ADP
ajset-575	516	10	the	the	DET
ajset-575	516	11	5	5	NUM
ajset-575	516	12	dimensional	dimensional	ADJ
ajset-575	516	13	metric	metric	NOUN
ajset-575	516	14	seem	seem	VERB
ajset-575	516	15	to	to	PART
ajset-575	516	16	materialize	materialize	VERB
ajset-575	516	17	in	in	ADP
ajset-575	516	18	4	4	NUM
ajset-575	516	19	dimensions	dimension	NOUN
ajset-575	516	20	as	as	ADP
ajset-575	516	21	components	component	NOUN
ajset-575	516	22	of	of	ADP
ajset-575	516	23	the	the	DET
ajset-575	516	24	electromagnetic	electromagnetic	ADJ
ajset-575	516	25	vector	vector	NOUN
ajset-575	516	26	potential	potential	NOUN
ajset-575	516	27	.	.	PUNCT
ajset-575	517	1	after	after	ADP
ajset-575	517	2	rechecking	rechecke	VERB
ajset-575	517	3	the	the	DET
ajset-575	517	4	derivation	derivation	NOUN
ajset-575	517	5	of	of	ADP
ajset-575	517	6	the	the	DET
ajset-575	517	7	g	g	PROPN
ajset-575	517	8	k	k	PROPN
ajset-575	517	9	in	in	ADP
ajset-575	517	10	previous	previous	ADJ
ajset-575	517	11	section	section	NOUN
ajset-575	517	12	12	12	NUM
ajset-575	517	13	and	and	CCONJ
ajset-575	517	14	becoming	become	VERB
ajset-575	517	15	sure	sure	ADJ
ajset-575	517	16	of	of	ADP
ajset-575	517	17	the	the	DET
ajset-575	517	18	intuitive	intuitive	ADJ
ajset-575	517	19	model	model	NOUN
ajset-575	517	20	of	of	ADP
ajset-575	517	21	the	the	DET
ajset-575	517	22	rotating	rotate	VERB
ajset-575	517	23	wave	wave	NOUN
ajset-575	517	24	,	,	PUNCT
ajset-575	517	25	i	i	PRON
ajset-575	517	26	began	begin	VERB
ajset-575	517	27	to	to	PART
ajset-575	517	28	realize	realize	VERB
ajset-575	517	29	that	that	SCONJ
ajset-575	517	30	its	its	PRON
ajset-575	517	31	5th	5th	ADJ
ajset-575	517	32	vector	vector	NOUN
ajset-575	517	33	vt	vt	PROPN
ajset-575	517	34	was	be	AUX
ajset-575	517	35	most	most	ADV
ajset-575	517	36	likely	likely	ADJ
ajset-575	517	37	the	the	DET
ajset-575	517	38	same	same	ADJ
ajset-575	517	39	5th	5th	ADJ
ajset-575	517	40	dimension	dimension	NOUN
ajset-575	517	41	as	as	SCONJ
ajset-575	517	42	suggested	suggest	VERB
ajset-575	517	43	by	by	ADP
ajset-575	517	44	kaluza	kaluza	PROPN
ajset-575	517	45	.	.	PUNCT
ajset-575	518	1	without	without	ADP
ajset-575	518	2	the	the	DET
ajset-575	518	3	radial	radial	NOUN
ajset-575	518	4	(	(	PUNCT
ajset-575	518	5	outward	outward	ADJ
ajset-575	518	6	or	or	CCONJ
ajset-575	518	7	inward	inward	ADV
ajset-575	518	8	)	)	PUNCT
ajset-575	518	9	vt	vt	PROPN
ajset-575	518	10	vector	vector	NOUN
ajset-575	518	11	part	part	NOUN
ajset-575	518	12	of	of	ADP
ajset-575	518	13	the	the	DET
ajset-575	518	14	rotating	rotate	VERB
ajset-575	518	15	wave	wave	NOUN
ajset-575	518	16	,	,	PUNCT
ajset-575	518	17	one	one	PRON
ajset-575	518	18	can	can	AUX
ajset-575	518	19	not	not	PART
ajset-575	518	20	derive	derive	VERB
ajset-575	518	21	intrinsic	intrinsic	ADJ
ajset-575	518	22	curvature	curvature	NOUN
ajset-575	518	23	of	of	ADP
ajset-575	518	24	the	the	DET
ajset-575	518	25	surface	surface	NOUN
ajset-575	518	26	on	on	ADP
ajset-575	518	27	which	which	PRON
ajset-575	518	28	the	the	DET
ajset-575	518	29	light	light	ADJ
ajset-575	518	30	line	line	NOUN
ajset-575	518	31	travels	travel	VERB
ajset-575	518	32	.	.	PUNCT
ajset-575	519	1	in	in	ADP
ajset-575	519	2	other	other	ADJ
ajset-575	519	3	words	word	NOUN
ajset-575	519	4	,	,	PUNCT
ajset-575	519	5	the	the	DET
ajset-575	519	6	general	general	ADJ
ajset-575	519	7	theory	theory	NOUN
ajset-575	519	8	of	of	ADP
ajset-575	519	9	relativity	relativity	NOUN
ajset-575	519	10	gtr	gtr	NOUN
ajset-575	519	11	could	could	AUX
ajset-575	519	12	not	not	PART
ajset-575	519	13	be	be	AUX
ajset-575	519	14	explained	explain	VERB
ajset-575	519	15	by	by	ADP
ajset-575	519	16	the	the	DET
ajset-575	519	17	rotating	rotate	VERB
ajset-575	519	18	wave	wave	NOUN
ajset-575	519	19	function	function	NOUN
ajset-575	519	20	,	,	PUNCT
ajset-575	519	21	unless	unless	SCONJ
ajset-575	519	22	it	it	PRON
ajset-575	519	23	is	be	AUX
ajset-575	519	24	allowed	allow	VERB
ajset-575	519	25	to	to	PART
ajset-575	519	26	spiral	spiral	ADJ
ajset-575	519	27	outwards	outward	NOUN
ajset-575	519	28	(	(	PUNCT
ajset-575	519	29	slowing	slow	VERB
ajset-575	519	30	down	down	ADP
ajset-575	519	31	)	)	PUNCT
ajset-575	519	32	or	or	CCONJ
ajset-575	519	33	inwards	inward	NOUN
ajset-575	519	34	(	(	PUNCT
ajset-575	519	35	speeding	speed	VERB
ajset-575	519	36	up	up	ADP
ajset-575	519	37	)	)	PUNCT
ajset-575	519	38	.	.	PUNCT
ajset-575	520	1	the	the	DET
ajset-575	520	2	vector	vector	PROPN
ajset-575	520	3	vt	vt	PROPN
ajset-575	520	4	essentially	essentially	ADV
ajset-575	520	5	turns	turn	VERB
ajset-575	520	6	the	the	DET
ajset-575	520	7	light	light	ADJ
ajset-575	520	8	line	line	NOUN
ajset-575	520	9	inwards	inward	NOUN
ajset-575	520	10	or	or	CCONJ
ajset-575	520	11	outwards	outward	NOUN
ajset-575	520	12	and	and	CCONJ
ajset-575	520	13	thus	thus	ADV
ajset-575	520	14	deforms	deform	VERB
ajset-575	520	15	the	the	DET
ajset-575	520	16	metric	metric	NOUN
ajset-575	520	17	.	.	PUNCT
ajset-575	521	1	also	also	ADV
ajset-575	521	2	,	,	PUNCT
ajset-575	521	3	the	the	DET
ajset-575	521	4	fact	fact	NOUN
ajset-575	521	5	that	that	SCONJ
ajset-575	521	6	electromagnetic	electromagnetic	ADJ
ajset-575	521	7	energy	energy	NOUN
ajset-575	521	8	adds	add	VERB
ajset-575	521	9	curvature	curvature	NOUN
ajset-575	521	10	in	in	ADP
ajset-575	521	11	addition	addition	NOUN
ajset-575	521	12	to	to	ADP
ajset-575	521	13	mass	mass	ADJ
ajset-575	521	14	energy	energy	NOUN
ajset-575	521	15	very	very	ADV
ajset-575	521	16	clearly	clearly	ADV
ajset-575	521	17	suggested	suggest	VERB
ajset-575	521	18	to	to	ADP
ajset-575	521	19	me	i	PRON
ajset-575	521	20	that	that	SCONJ
ajset-575	521	21	the	the	DET
ajset-575	521	22	kaluza	kaluza	PROPN
ajset-575	521	23	5th	5th	ADJ
ajset-575	521	24	dimension	dimension	NOUN
ajset-575	521	25	must	must	AUX
ajset-575	521	26	be	be	AUX
ajset-575	521	27	the	the	DET
ajset-575	521	28	same	same	ADJ
ajset-575	521	29	as	as	ADP
ajset-575	521	30	vt	vt	PROPN
ajset-575	521	31	,	,	PUNCT
ajset-575	521	32	the	the	DET
ajset-575	521	33	5th	5th	ADJ
ajset-575	521	34	vector	vector	NOUN
ajset-575	521	35	of	of	ADP
ajset-575	521	36	the	the	DET
ajset-575	521	37	rotating	rotate	VERB
ajset-575	521	38	wave	wave	NOUN
ajset-575	521	39	.	.	PUNCT
ajset-575	522	1	most	most	ADV
ajset-575	522	2	recently	recently	ADV
ajset-575	522	3	,	,	PUNCT
ajset-575	522	4	i	i	PRON
ajset-575	522	5	came	come	VERB
ajset-575	522	6	across	across	ADP
ajset-575	522	7	the	the	DET
ajset-575	522	8	article	article	NOUN
ajset-575	522	9	geometrical	geometrical	ADJ
ajset-575	522	10	interpretation	interpretation	NOUN
ajset-575	522	11	of	of	ADP
ajset-575	522	12	electromagnetism	electromagnetism	NOUN
ajset-575	522	13	in	in	ADP
ajset-575	522	14	5	5	NUM
ajset-575	522	15	-	-	PUNCT
ajset-575	522	16	dimensional	dimensional	ADJ
ajset-575	522	17	manifold	manifold	NOUN
ajset-575	522	18	by	by	ADP
ajset-575	522	19	taehun	taehun	PROPN
ajset-575	522	20	kim	kim	PROPN
ajset-575	522	21	&	&	CCONJ
ajset-575	522	22	hyunbyuk	hyunbyuk	PROPN
ajset-575	522	23	kim	kim	PROPN
ajset-575	523	1	[	[	X
ajset-575	523	2	5	5	NUM
ajset-575	523	3	]	]	PUNCT
ajset-575	523	4	.	.	PUNCT
ajset-575	524	1	in	in	ADP
ajset-575	524	2	the	the	DET
ajset-575	524	3	article	article	NOUN
ajset-575	524	4	,	,	PUNCT
ajset-575	524	5	they	they	PRON
ajset-575	524	6	suggest	suggest	VERB
ajset-575	524	7	the	the	DET
ajset-575	524	8	5th	5th	ADJ
ajset-575	524	9	dimensional	dimensional	ADJ
ajset-575	524	10	manifold	manifold	NOUN
ajset-575	524	11	is	be	AUX
ajset-575	524	12	constructed	construct	VERB
ajset-575	524	13	by	by	ADP
ajset-575	524	14	dragging	drag	VERB
ajset-575	524	15	the	the	DET
ajset-575	524	16	4d	4d	NUM
ajset-575	524	17	space	space	NOUN
ajset-575	524	18	-	-	PUNCT
ajset-575	524	19	time	time	NOUN
ajset-575	524	20	,	,	PUNCT
ajset-575	524	21	resulting	result	VERB
ajset-575	524	22	in	in	ADP
ajset-575	524	23	deformation	deformation	NOUN
ajset-575	524	24	.	.	PUNCT
ajset-575	525	1	clearly	clearly	ADV
ajset-575	525	2	,	,	PUNCT
ajset-575	525	3	as	as	SCONJ
ajset-575	525	4	shown	show	VERB
ajset-575	525	5	in	in	ADP
ajset-575	525	6	figure	figure	NOUN
ajset-575	525	7	13	13	NUM
ajset-575	525	8	,	,	PUNCT
ajset-575	525	9	one	one	PRON
ajset-575	525	10	can	can	AUX
ajset-575	525	11	see	see	VERB
ajset-575	525	12	that	that	SCONJ
ajset-575	525	13	the	the	DET
ajset-575	525	14	rotating	rotate	VERB
ajset-575	525	15	wave	wave	NOUN
ajset-575	525	16	vt	vt	PROPN
ajset-575	525	17	vector	vector	NOUN
ajset-575	525	18	likewise	likewise	ADV
ajset-575	525	19	redirects	redirect	VERB
ajset-575	525	20	the	the	DET
ajset-575	525	21	4d	4d	NUM
ajset-575	525	22	space	space	NOUN
ajset-575	525	23	-	-	PUNCT
ajset-575	525	24	time	time	NOUN
ajset-575	525	25	manifold	manifold	ADJ
ajset-575	525	26	inwards	inward	NOUN
ajset-575	525	27	(	(	PUNCT
ajset-575	525	28	or	or	CCONJ
ajset-575	525	29	outwards	outward	NOUN
ajset-575	525	30	)	)	PUNCT
ajset-575	525	31	.	.	PUNCT
ajset-575	526	1	in	in	ADP
ajset-575	526	2	analyzing	analyze	VERB
ajset-575	526	3	the	the	DET
ajset-575	526	4	kaluza	kaluza	PROPN
ajset-575	526	5	klein	klein	PROPN
ajset-575	526	6	theory	theory	PROPN
ajset-575	526	7	,	,	PUNCT
ajset-575	526	8	physicists	physicist	NOUN
ajset-575	526	9	usually	usually	ADV
ajset-575	526	10	start	start	VERB
ajset-575	526	11	with	with	ADP
ajset-575	526	12	the	the	DET
ajset-575	526	13	equation	equation	NOUN
ajset-575	526	14	of	of	ADP
ajset-575	526	15	motion	motion	NOUN
ajset-575	526	16	.	.	PUNCT
ajset-575	527	1	as	as	SCONJ
ajset-575	527	2	straub	straub	PROPN
ajset-575	527	3	states	states	PROPN
ajset-575	527	4	,	,	PUNCT
ajset-575	527	5	the	the	DET
ajset-575	527	6	lorentz	lorentz	PROPN
ajset-575	527	7	force	force	NOUN
ajset-575	527	8	in	in	ADP
ajset-575	527	9	the	the	DET
ajset-575	527	10	usual	usual	ADJ
ajset-575	527	11	4	4	NUM
ajset-575	527	12	dimensional	dimensional	ADJ
ajset-575	527	13	space	space	NOUN
ajset-575	527	14	can	can	AUX
ajset-575	527	15	be	be	AUX
ajset-575	527	16	derived	derive	VERB
ajset-575	527	17	from	from	ADP
ajset-575	527	18	an	an	DET
ajset-575	527	19	arbitrary	arbitrary	ADJ
ajset-575	527	20	coordinate	coordinate	NOUN
ajset-575	527	21	variation	variation	NOUN
ajset-575	527	22	x	x	X
ajset-575	527	23	of	of	ADP
ajset-575	527	24	the	the	DET
ajset-575	527	25	invariant	invariant	ADJ
ajset-575	527	26	quantity	quantity	NOUN
ajset-575	527	27	:	:	PUNCT
ajset-575	528	1	i	i	PRON
ajset-575	528	2	=	=	PUNCT
ajset-575	528	3	mc	mc	PROPN
ajset-575	529	1	ds	ds	PROPN
ajset-575	529	2	q	q	PROPN
ajset-575	529	3	a	a	DET
ajset-575	529	4	dx	dx	PROPN
ajset-575	529	5	and	and	CCONJ
ajset-575	529	6	carrying	carry	VERB
ajset-575	529	7	the	the	DET
ajset-575	529	8	variation	variation	NOUN
ajset-575	529	9	and	and	CCONJ
ajset-575	529	10	setting	set	VERB
ajset-575	529	11	it	it	PRON
ajset-575	529	12	to	to	ADP
ajset-575	529	13	zero	zero	NUM
ajset-575	529	14	yields	yield	NOUN
ajset-575	529	15	the	the	DET
ajset-575	529	16	expression	expression	NOUN
ajset-575	529	17	for	for	ADP
ajset-575	529	18	the	the	DET
ajset-575	529	19	lorentz	lorentz	PROPN
ajset-575	529	20	force	force	NOUN
ajset-575	529	21	:	:	PUNCT
ajset-575	529	22	d2x	d2x	PROPN
ajset-575	529	23	dx	dx	PROPN
ajset-575	529	24	dx	dx	PROPN
ajset-575	529	25	q	q	PROPN
ajset-575	529	26	dx	dx	PROPN
ajset-575	529	27	2	2	NUM
ajset-575	529	28	=	=	SYM
ajset-575	529	29	f	f	X
ajset-575	529	30	ds	ds	ADJ
ajset-575	529	31	ds	ds	NOUN
ajset-575	529	32	ds	ds	NOUN
ajset-575	529	33	mc	mc	NOUN
ajset-575	529	34	ds	ds	PROPN
ajset-575	529	35	now	now	ADV
ajset-575	529	36	let	let	VERB
ajset-575	530	1	ds	ds	VERB
ajset-575	530	2	/	/	SYM
ajset-575	530	3	dt	dt	NOUN
ajset-575	530	4	=	=	SYM
ajset-575	530	5	c	c	X
ajset-575	530	6	(	(	PUNCT
ajset-575	530	7	speed	speed	NOUN
ajset-575	530	8	of	of	ADP
ajset-575	530	9	light	light	NOUN
ajset-575	530	10	)	)	PUNCT
ajset-575	530	11	as	as	SCONJ
ajset-575	530	12	defined	define	VERB
ajset-575	530	13	in	in	ADP
ajset-575	530	14	the	the	DET
ajset-575	530	15	rotating	rotate	VERB
ajset-575	530	16	wave	wave	NOUN
ajset-575	530	17	figure	figure	NOUN
ajset-575	530	18	13	13	NUM
ajset-575	530	19	where	where	SCONJ
ajset-575	530	20	c2	c2	PROPN
ajset-575	530	21	=	=	PROPN
ajset-575	530	22	g	g	PROPN
ajset-575	530	23	u	u	NOUN
ajset-575	530	24	u	u	NOUN
ajset-575	530	25	thus	thus	ADV
ajset-575	530	26	:	:	PUNCT
ajset-575	530	27	1	1	NUM
ajset-575	530	28	d2x	d2x	NOUN
ajset-575	530	29	dx	dx	PROPN
ajset-575	530	30	dx	dx	PROPN
ajset-575	530	31	q	q	PROPN
ajset-575	530	32	dx	dx	PROPN
ajset-575	530	33	2	2	NUM
ajset-575	530	34	2	2	NUM
ajset-575	530	35	=	=	SYM
ajset-575	530	36	2	2	NUM
ajset-575	530	37	f	f	NOUN
ajset-575	530	38	c	c	NOUN
ajset-575	530	39	dt	dt	X
ajset-575	530	40	dt	dt	INTJ
ajset-575	530	41	dt	dt	X
ajset-575	530	42	mc	mc	PROPN
ajset-575	530	43	dt	dt	PROPN
ajset-575	530	44	and	and	CCONJ
ajset-575	530	45	thus	thus	ADV
ajset-575	530	46	:	:	PUNCT
ajset-575	530	47	q	q	X
ajset-575	530	48	a	a	PRON
ajset-575	530	49	,	,	PUNCT
ajset-575	530	50	u	u	NOUN
ajset-575	530	51	u	u	NOUN
ajset-575	530	52	=	=	NOUN
ajset-575	530	53	f	f	PROPN
ajset-575	530	54	u	u	X
ajset-575	530	55	m	m	VERB
ajset-575	530	56	now	now	ADV
ajset-575	530	57	a	a	DET
ajset-575	530	58	vector	vector	NOUN
ajset-575	530	59	can	can	AUX
ajset-575	530	60	be	be	AUX
ajset-575	530	61	constructed	construct	VERB
ajset-575	530	62	by	by	ADP
ajset-575	530	63	pairing	pair	VERB
ajset-575	530	64	the	the	DET
ajset-575	530	65	contravariant	contravariant	ADJ
ajset-575	530	66	components	component	NOUN
ajset-575	530	67	with	with	ADP
ajset-575	530	68	covariant	covariant	ADJ
ajset-575	530	69	base	base	NOUN
ajset-575	530	70	vector	vector	NOUN
ajset-575	530	71	components	component	NOUN
ajset-575	530	72	so	so	ADV
ajset-575	530	73	:	:	PUNCT
ajset-575	530	74	e	e	X
ajset-575	530	75	(	(	PUNCT
ajset-575	530	76	a	a	DET
ajset-575	530	77	u	u	X
ajset-575	530	78	u	u	NOUN
ajset-575	530	79	)	)	PUNCT
ajset-575	530	80	e	e	NOUN
ajset-575	530	81	=	=	SYM
ajset-575	530	82	(	(	PUNCT
ajset-575	530	83	f	f	PROPN
ajset-575	530	84	u	u	NOUN
ajset-575	530	85	)	)	PUNCT
ajset-575	530	86	e	e	X
ajset-575	530	87	m	m	PROPN
ajset-575	530	88	q	q	X
ajset-575	530	89	e	e	X
ajset-575	530	90	a	a	DET
ajset-575	530	91	u	u	X
ajset-575	530	92	u	u	NOUN
ajset-575	530	93	=	=	SYM
ajset-575	530	94	f	f	PROPN
ajset-575	530	95	u	u	PROPN
ajset-575	530	96	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	530	97	academic	academic	ADJ
ajset-575	530	98	journal	journal	NOUN
ajset-575	530	99	of	of	ADP
ajset-575	530	100	science	science	NOUN
ajset-575	530	101	,	,	PUNCT
ajset-575	530	102	engineering	engineering	NOUN
ajset-575	530	103	and	and	CCONJ
ajset-575	530	104	technology	technology	NOUN
ajset-575	530	105	vol.6	vol.6	PROPN
ajset-575	530	106	,	,	PUNCT
ajset-575	530	107	issue	issue	NOUN
ajset-575	530	108	1	1	NUM
ajset-575	530	109	;	;	PUNCT
ajset-575	530	110	january	january	PROPN
ajset-575	530	111	febuary	febuary	PROPN
ajset-575	530	112	2021	2021	NUM
ajset-575	530	113	;	;	PUNCT
ajset-575	530	114	1252	1252	NUM
ajset-575	530	115	columbia	columbia	PROPN
ajset-575	530	116	rd	rd	PROPN
ajset-575	530	117	nw	nw	PROPN
ajset-575	530	118	,	,	PUNCT
ajset-575	530	119	washington	washington	PROPN
ajset-575	530	120	dc	dc	PROPN
ajset-575	530	121	,	,	PUNCT
ajset-575	530	122	united	united	PROPN
ajset-575	530	123	states	states	PROPN
ajset-575	530	124	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	530	125	;	;	PUNCT
ajset-575	530	126	mail	mail	NOUN
ajset-575	530	127	:	:	PUNCT
ajset-575	530	128	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	530	129	74	74	NUM
ajset-575	531	1	|	|	ADV
ajset-575	531	2	a	a	DET
ajset-575	531	3	c	c	NOUN
ajset-575	531	4	a	a	PRON
ajset-575	531	5	d	d	X
ajset-575	531	6	e	e	NOUN
ajset-575	531	7	m	m	NOUN
ajset-575	531	8	i	i	NOUN
ajset-575	531	9	c	c	NOUN
ajset-575	531	10	j	j	NOUN
ajset-575	531	11	o	o	X
ajset-575	531	12	u	u	NOUN
ajset-575	531	13	r	r	NOUN
ajset-575	531	14	n	n	NOUN
ajset-575	531	15	a	a	DET
ajset-575	531	16	l	l	NOUN
ajset-575	532	1	o	o	X
ajset-575	532	2	f	f	X
ajset-575	532	3	s	s	X
ajset-575	532	4	c	c	NOUN
ajset-575	533	1	i	i	NOUN
ajset-575	533	2	e	e	PROPN
ajset-575	533	3	n	n	PROPN
ajset-575	533	4	c	c	NOUN
ajset-575	533	5	e	e	X
ajset-575	533	6	,	,	PUNCT
ajset-575	533	7	e	e	PROPN
ajset-575	533	8	n	n	PRON
ajset-575	533	9	g	g	NOUN
ajset-575	533	10	i	i	PRON
ajset-575	533	11	n	n	VERB
ajset-575	533	12	e	e	NOUN
ajset-575	533	13	e	e	NOUN
ajset-575	533	14	r	r	VERB
ajset-575	533	15	i	i	PRON
ajset-575	533	16	n	n	CCONJ
ajset-575	533	17	g	g	PROPN
ajset-575	533	18	a	a	DET
ajset-575	533	19	n	n	NOUN
ajset-575	533	20	d	d	NOUN
ajset-575	533	21	t	t	NOUN
ajset-575	533	22	e	e	X
ajset-575	533	23	c	c	NOUN
ajset-575	533	24	h	h	NOUN
ajset-575	533	25	n	n	ADV
ajset-575	533	26	o	o	NOUN
ajset-575	533	27	l	l	NOUN
ajset-575	534	1	o	o	X
ajset-575	534	2	g	g	NOUN
ajset-575	534	3	y	y	PROPN
ajset-575	534	4	|	|	ADV
ajset-575	534	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	534	6	m	m	VERB
ajset-575	534	7	where	where	SCONJ
ajset-575	534	8	f	f	PROPN
ajset-575	534	9	is	be	AUX
ajset-575	534	10	now	now	ADV
ajset-575	534	11	embolded	embolde	VERB
ajset-575	534	12	because	because	SCONJ
ajset-575	534	13	it	it	PRON
ajset-575	534	14	acts	act	VERB
ajset-575	534	15	like	like	ADP
ajset-575	534	16	a	a	DET
ajset-575	534	17	base	base	NOUN
ajset-575	534	18	vector	vector	NOUN
ajset-575	534	19	.	.	PUNCT
ajset-575	535	1	note	note	VERB
ajset-575	535	2	that	that	SCONJ
ajset-575	535	3	as	as	SCONJ
ajset-575	535	4	indicated	indicate	VERB
ajset-575	535	5	previously	previously	ADV
ajset-575	535	6	eq	eq	ADP
ajset-575	535	7	.	.	PUNCT
ajset-575	536	1	(	(	PUNCT
ajset-575	536	2	16	16	NUM
ajset-575	536	3	)	)	PUNCT
ajset-575	536	4	for	for	ADP
ajset-575	536	5	the	the	DET
ajset-575	536	6	rotating	rotate	VERB
ajset-575	536	7	wave	wave	NOUN
ajset-575	536	8	model	model	NOUN
ajset-575	536	9	:	:	PUNCT
ajset-575	537	1	c	c	X
ajset-575	537	2	=	=	PUNCT
ajset-575	537	3	ecc	ecc	PROPN
ajset-575	537	4	=	=	SYM
ajset-575	537	5	vv	vv	ADP
ajset-575	537	6	vr	vr	PROPN
ajset-575	537	7	vt	vt	PROPN
ajset-575	537	8	=	=	PUNCT
ajset-575	537	9	e	e	PROPN
ajset-575	537	10	u	u	PROPN
ajset-575	537	11	vt	vt	PROPN
ajset-575	537	12	also	also	ADV
ajset-575	537	13	,	,	PUNCT
ajset-575	537	14	as	as	SCONJ
ajset-575	537	15	is	be	AUX
ajset-575	537	16	common	common	ADJ
ajset-575	537	17	practice	practice	NOUN
ajset-575	537	18	when	when	SCONJ
ajset-575	537	19	analyzing	analyze	VERB
ajset-575	537	20	kaluza	kaluza	PROPN
ajset-575	537	21	klein	klein	PROPN
ajset-575	537	22	theory	theory	PROPN
ajset-575	537	23	,	,	PUNCT
ajset-575	537	24	greek	greek	ADJ
ajset-575	537	25	indices	index	NOUN
ajset-575	537	26	are	be	AUX
ajset-575	537	27	again	again	ADV
ajset-575	537	28	here	here	ADV
ajset-575	537	29	used	use	VERB
ajset-575	537	30	to	to	PART
ajset-575	537	31	denote	denote	VERB
ajset-575	537	32	4	4	NUM
ajset-575	537	33	dimension	dimension	NOUN
ajset-575	537	34	quantities	quantity	NOUN
ajset-575	537	35	(	(	PUNCT
ajset-575	537	36	c4	c4	NOUN
ajset-575	537	37	=	=	PUNCT
ajset-575	537	38	e	e	NOUN
ajset-575	537	39	u	u	NOUN
ajset-575	537	40	)	)	PUNCT
ajset-575	537	41	while	while	SCONJ
ajset-575	537	42	latin	latin	ADJ
ajset-575	537	43	indices	index	NOUN
ajset-575	537	44	are	be	AUX
ajset-575	537	45	used	use	VERB
ajset-575	537	46	to	to	PART
ajset-575	537	47	denote	denote	VERB
ajset-575	537	48	overall	overall	ADJ
ajset-575	537	49	5	5	NUM
ajset-575	537	50	dimensional	dimensional	ADJ
ajset-575	537	51	quantities	quantity	NOUN
ajset-575	537	52	(	(	PUNCT
ajset-575	537	53	c5	c5	PROPN
ajset-575	537	54	=	=	PUNCT
ajset-575	537	55	e	e	PROPN
ajset-575	537	56	u	u	NOUN
ajset-575	537	57	=	=	SYM
ajset-575	537	58	e	e	X
ajset-575	537	59	u	u	PROPN
ajset-575	537	60	vt	vt	PROPN
ajset-575	537	61	)	)	PUNCT
ajset-575	537	62	.	.	PUNCT
ajset-575	538	1	to	to	PART
ajset-575	538	2	be	be	AUX
ajset-575	538	3	clear	clear	ADJ
ajset-575	538	4	:	:	PUNCT
ajset-575	538	5	c5	c5	PROPN
ajset-575	538	6	=	=	PROPN
ajset-575	538	7	c4	c4	PROPN
ajset-575	538	8	v	v	ADP
ajset-575	538	9	t	t	PROPN
ajset-575	538	10	thus	thus	ADV
ajset-575	538	11	for	for	ADP
ajset-575	538	12	4	4	NUM
ajset-575	538	13	dimensions	dimension	NOUN
ajset-575	538	14	when	when	SCONJ
ajset-575	538	15	vt	vt	PROPN
ajset-575	538	16	=	=	PROPN
ajset-575	538	17	0	0	PROPN
ajset-575	538	18	(	(	PUNCT
ajset-575	538	19	rotating	rotate	VERB
ajset-575	538	20	wave	wave	NOUN
ajset-575	538	21	cylinder	cylinder	NOUN
ajset-575	538	22	condition	condition	NOUN
ajset-575	538	23	of	of	ADP
ajset-575	538	24	constant	constant	ADJ
ajset-575	538	25	translational	translational	ADJ
ajset-575	538	26	motion	motion	NOUN
ajset-575	538	27	):	):	PUNCT
ajset-575	538	28	dc4	dc4	NOUN
ajset-575	538	29	dec	dec	PROPN
ajset-575	538	30	2	2	NUM
ajset-575	538	31	de	de	PROPN
ajset-575	538	32	=	=	SYM
ajset-575	538	33	c	c	NOUN
ajset-575	538	34	=	=	PUNCT
ajset-575	538	35	c	c	X
ajset-575	538	36	r4	r4	NOUN
ajset-575	538	37	=	=	PUNCT
ajset-575	538	38	e	e	X
ajset-575	538	39	du	du	PROPN
ajset-575	538	40	u	u	X
ajset-575	538	41	dt	dt	X
ajset-575	538	42	dt	dt	X
ajset-575	538	43	dt	dt	X
ajset-575	538	44	q	q	X
ajset-575	539	1	=	=	PUNCT
ajset-575	539	2	e	e	X
ajset-575	539	3	a	a	DET
ajset-575	539	4	u	u	X
ajset-575	539	5	u	u	NOUN
ajset-575	539	6	=	=	NOUN
ajset-575	539	7	f	f	X
ajset-575	539	8	u	u	NOUN
ajset-575	539	9	m	m	VERB
ajset-575	539	10	and	and	CCONJ
ajset-575	539	11	for	for	ADP
ajset-575	539	12	the	the	DET
ajset-575	539	13	rotating	rotate	VERB
ajset-575	539	14	wave	wave	NOUN
ajset-575	539	15	5	5	NUM
ajset-575	539	16	dimensions	dimension	NOUN
ajset-575	539	17	(	(	PUNCT
ajset-575	539	18	or	or	CCONJ
ajset-575	539	19	5	5	NUM
ajset-575	539	20	vectors	vector	NOUN
ajset-575	539	21	):	):	PUNCT
ajset-575	539	22	dc5	dc5	PROPN
ajset-575	539	23	2	2	NUM
ajset-575	539	24	de	de	X
ajset-575	539	25	dvt	dvt	PROPN
ajset-575	539	26	=	=	SYM
ajset-575	539	27	c	c	PROPN
ajset-575	539	28	r5	r5	PROPN
ajset-575	539	29	=	=	PUNCT
ajset-575	540	1	e	e	X
ajset-575	540	2	du	du	PROPN
ajset-575	540	3	u	u	X
ajset-575	540	4	dt	dt	X
ajset-575	540	5	dt	dt	X
ajset-575	540	6	dt	dt	X
ajset-575	540	7	dvt	dvt	PROPN
ajset-575	540	8	=	=	PROPN
ajset-575	540	9	e	e	PROPN
ajset-575	540	10	a	a	DET
ajset-575	540	11	u	u	X
ajset-575	540	12	u	u	NOUN
ajset-575	540	13	dt	dt	X
ajset-575	540	14	now	now	ADV
ajset-575	540	15	,	,	PUNCT
ajset-575	540	16	as	as	ADP
ajset-575	540	17	per	per	ADP
ajset-575	540	18	the	the	DET
ajset-575	540	19	standard	standard	ADJ
ajset-575	540	20	model	model	NOUN
ajset-575	540	21	of	of	ADP
ajset-575	540	22	general	general	ADJ
ajset-575	540	23	relativity	relativity	NOUN
ajset-575	540	24	the	the	DET
ajset-575	540	25	equation	equation	NOUN
ajset-575	540	26	of	of	ADP
ajset-575	540	27	motion	motion	NOUN
ajset-575	540	28	(	(	PUNCT
ajset-575	540	29	eom	eom	NOUN
ajset-575	540	30	)	)	PUNCT
ajset-575	540	31	is	be	AUX
ajset-575	540	32	set	set	VERB
ajset-575	540	33	to	to	ADP
ajset-575	540	34	zero	zero	NUM
ajset-575	540	35	for	for	ADP
ajset-575	540	36	the	the	DET
ajset-575	540	37	straightest	straight	ADJ
ajset-575	540	38	geodesic	geodesic	NOUN
ajset-575	540	39	and	and	CCONJ
ajset-575	540	40	thus	thus	ADV
ajset-575	540	41	the	the	DET
ajset-575	540	42	rotation	rotation	NOUN
ajset-575	540	43	curvature	curvature	NOUN
ajset-575	540	44	r5	r5	PROPN
ajset-575	540	45	is	be	AUX
ajset-575	540	46	not	not	PART
ajset-575	540	47	considered	consider	VERB
ajset-575	540	48	nor	nor	CCONJ
ajset-575	540	49	observed	observe	VERB
ajset-575	540	50	.	.	PUNCT
ajset-575	541	1	so	so	ADV
ajset-575	541	2	for	for	ADP
ajset-575	541	3	the	the	DET
ajset-575	541	4	moment	moment	NOUN
ajset-575	541	5	let	let	VERB
ajset-575	541	6	:	:	PUNCT
ajset-575	541	7	2	2	NUM
ajset-575	541	8	dvt	dvt	PROPN
ajset-575	541	9	c	c	PROPN
ajset-575	541	10	r5	r5	PROPN
ajset-575	541	11	=	=	PUNCT
ajset-575	541	12	0	0	PUNCT
ajset-575	542	1	=	=	SYM
ajset-575	542	2	e	e	X
ajset-575	542	3	a	a	DET
ajset-575	542	4	u	u	X
ajset-575	542	5	u	u	NOUN
ajset-575	542	6	dt	dt	NOUN
ajset-575	542	7	dvt	dvt	PROPN
ajset-575	542	8	e	e	PROPN
ajset-575	542	9	a	a	DET
ajset-575	542	10	u	u	X
ajset-575	542	11	u	u	NOUN
ajset-575	542	12	=	=	NOUN
ajset-575	542	13	dt	dt	X
ajset-575	543	1	but	but	CCONJ
ajset-575	543	2	from	from	ADP
ajset-575	543	3	the	the	DET
ajset-575	543	4	variational	variational	ADJ
ajset-575	543	5	principle	principle	NOUN
ajset-575	543	6	eq.(67	eq.(67	NOUN
ajset-575	543	7	)	)	PUNCT
ajset-575	543	8	leads	lead	VERB
ajset-575	543	9	to	to	ADP
ajset-575	543	10	eq.(72	eq.(72	NOUN
ajset-575	543	11	)	)	PUNCT
ajset-575	543	12	2	2	NUM
ajset-575	543	13	q	q	NOUN
ajset-575	543	14	dvt	dvt	PROPN
ajset-575	543	15	c	c	PROPN
ajset-575	543	16	r4	r4	PROPN
ajset-575	543	17	=	=	PUNCT
ajset-575	543	18	e	e	X
ajset-575	543	19	a	a	DET
ajset-575	543	20	u	u	X
ajset-575	543	21	u	u	NOUN
ajset-575	543	22	=	=	X
ajset-575	543	23	f	f	PROPN
ajset-575	543	24	u	u	NOUN
ajset-575	543	25	=	=	NOUN
ajset-575	543	26	m	m	VERB
ajset-575	543	27	dt	dt	NOUN
ajset-575	543	28	thus	thus	ADV
ajset-575	543	29	according	accord	VERB
ajset-575	543	30	to	to	ADP
ajset-575	543	31	the	the	DET
ajset-575	543	32	rotating	rotate	VERB
ajset-575	543	33	wave	wave	NOUN
ajset-575	543	34	model	model	NOUN
ajset-575	543	35	,	,	PUNCT
ajset-575	543	36	the	the	DET
ajset-575	543	37	extra	extra	ADJ
ajset-575	543	38	term	term	NOUN
ajset-575	543	39	(	(	PUNCT
ajset-575	543	40	et	et	NOUN
ajset-575	543	41	)	)	PUNCT
ajset-575	543	42	generated	generate	VERB
ajset-575	543	43	by	by	ADP
ajset-575	543	44	the	the	DET
ajset-575	543	45	kaluza	kaluza	PROPN
ajset-575	543	46	klein	klein	PROPN
ajset-575	543	47	5	5	NUM
ajset-575	543	48	dimensional	dimensional	ADJ
ajset-575	543	49	model	model	NOUN
ajset-575	543	50	is	be	AUX
ajset-575	543	51	clearly	clearly	ADV
ajset-575	543	52	:	:	PUNCT
ajset-575	543	53	dvt	dvt	PROPN
ajset-575	543	54	q	q	NOUN
ajset-575	543	55	et	et	NOUN
ajset-575	543	56	=	=	PUNCT
ajset-575	543	57	=	=	SYM
ajset-575	544	1	f	f	X
ajset-575	544	2	u	u	INTJ
ajset-575	544	3	dt	dt	X
ajset-575	544	4	m	m	AUX
ajset-575	544	5	also	also	ADV
ajset-575	544	6	note	note	VERB
ajset-575	544	7	as	as	ADP
ajset-575	544	8	per	per	ADP
ajset-575	544	9	the	the	DET
ajset-575	544	10	rotating	rotate	VERB
ajset-575	544	11	wave	wave	NOUN
ajset-575	544	12	model	model	NOUN
ajset-575	544	13	,	,	PUNCT
ajset-575	544	14	2	2	NUM
ajset-575	544	15	2	2	NUM
ajset-575	544	16	dvt	dvt	PROPN
ajset-575	544	17	c	c	PROPN
ajset-575	544	18	r5	r5	PROPN
ajset-575	544	19	=	=	PUNCT
ajset-575	545	1	c	c	PROPN
ajset-575	545	2	r4	r4	PROPN
ajset-575	545	3	dt	dt	PROPN
ajset-575	545	4	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	545	5	academic	academic	ADJ
ajset-575	545	6	journal	journal	NOUN
ajset-575	545	7	of	of	ADP
ajset-575	545	8	science	science	NOUN
ajset-575	545	9	,	,	PUNCT
ajset-575	545	10	engineering	engineering	NOUN
ajset-575	545	11	and	and	CCONJ
ajset-575	545	12	technology	technology	NOUN
ajset-575	545	13	vol.6	vol.6	PROPN
ajset-575	545	14	,	,	PUNCT
ajset-575	545	15	issue	issue	NOUN
ajset-575	545	16	1	1	NUM
ajset-575	545	17	;	;	PUNCT
ajset-575	545	18	january	january	PROPN
ajset-575	545	19	febuary	febuary	PROPN
ajset-575	545	20	2021	2021	NUM
ajset-575	545	21	;	;	PUNCT
ajset-575	545	22	1252	1252	NUM
ajset-575	545	23	columbia	columbia	PROPN
ajset-575	545	24	rd	rd	PROPN
ajset-575	545	25	nw	nw	PROPN
ajset-575	545	26	,	,	PUNCT
ajset-575	545	27	washington	washington	PROPN
ajset-575	545	28	dc	dc	PROPN
ajset-575	545	29	,	,	PUNCT
ajset-575	545	30	united	united	PROPN
ajset-575	545	31	states	states	PROPN
ajset-575	545	32	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	545	33	;	;	PUNCT
ajset-575	545	34	mail	mail	NOUN
ajset-575	545	35	:	:	PUNCT
ajset-575	546	1	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	547	1	75	75	NUM
ajset-575	548	1	|	|	ADV
ajset-575	548	2	a	a	DET
ajset-575	548	3	c	c	NOUN
ajset-575	548	4	a	a	PRON
ajset-575	549	1	d	d	X
ajset-575	549	2	e	e	NOUN
ajset-575	549	3	m	m	NOUN
ajset-575	549	4	i	i	NOUN
ajset-575	549	5	c	c	NOUN
ajset-575	549	6	j	j	NOUN
ajset-575	549	7	o	o	X
ajset-575	549	8	u	u	NOUN
ajset-575	549	9	r	r	NOUN
ajset-575	549	10	n	n	NOUN
ajset-575	549	11	a	a	DET
ajset-575	549	12	l	l	NOUN
ajset-575	550	1	o	o	X
ajset-575	550	2	f	f	X
ajset-575	550	3	s	s	X
ajset-575	550	4	c	c	NOUN
ajset-575	551	1	i	i	NOUN
ajset-575	551	2	e	e	PROPN
ajset-575	551	3	n	n	PROPN
ajset-575	551	4	c	c	NOUN
ajset-575	551	5	e	e	X
ajset-575	551	6	,	,	PUNCT
ajset-575	551	7	e	e	PROPN
ajset-575	551	8	n	n	PRON
ajset-575	551	9	g	g	NOUN
ajset-575	551	10	i	i	PRON
ajset-575	551	11	n	n	VERB
ajset-575	551	12	e	e	NOUN
ajset-575	551	13	e	e	NOUN
ajset-575	551	14	r	r	VERB
ajset-575	551	15	i	i	PRON
ajset-575	551	16	n	n	CCONJ
ajset-575	551	17	g	g	PROPN
ajset-575	551	18	a	a	DET
ajset-575	551	19	n	n	NOUN
ajset-575	551	20	d	d	NOUN
ajset-575	551	21	t	t	NOUN
ajset-575	551	22	e	e	X
ajset-575	551	23	c	c	NOUN
ajset-575	551	24	h	h	NOUN
ajset-575	551	25	n	n	ADV
ajset-575	551	26	o	o	NOUN
ajset-575	551	27	l	l	NOUN
ajset-575	552	1	o	o	X
ajset-575	552	2	g	g	NOUN
ajset-575	552	3	y	y	PROPN
ajset-575	552	4	|	|	ADV
ajset-575	552	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	552	6	so	so	ADV
ajset-575	552	7	according	accord	VERB
ajset-575	552	8	to	to	ADP
ajset-575	552	9	the	the	DET
ajset-575	552	10	rotating	rotate	VERB
ajset-575	552	11	wave	wave	NOUN
ajset-575	552	12	,	,	PUNCT
ajset-575	552	13	the	the	DET
ajset-575	552	14	f	f	PROPN
ajset-575	552	15	u	u	PROPN
ajset-575	552	16	would	would	AUX
ajset-575	552	17	appear	appear	VERB
ajset-575	552	18	to	to	PART
ajset-575	552	19	rotate	rotate	VERB
ajset-575	552	20	like	like	ADP
ajset-575	552	21	the	the	DET
ajset-575	552	22	r5	r5	PROPN
ajset-575	552	23	and	and	CCONJ
ajset-575	552	24	r4	r4	NOUN
ajset-575	552	25	.	.	PUNCT
ajset-575	553	1	expanding	expand	VERB
ajset-575	553	2	further	far	ADV
ajset-575	553	3	,	,	PUNCT
ajset-575	553	4	e	e	NOUN
ajset-575	553	5	et	et	X
ajset-575	553	6	=	=	SYM
ajset-575	553	7	f	f	PROPN
ajset-575	553	8	u	u	NOUN
ajset-575	553	9	m	m	NOUN
ajset-575	553	10	e	e	NOUN
ajset-575	553	11	v	v	ADP
ajset-575	553	12	2	2	NUM
ajset-575	553	13	2	2	NUM
ajset-575	553	14	e	e	NOUN
ajset-575	553	15	c	c	PROPN
ajset-575	553	16	r5	r5	PROPN
ajset-575	553	17	c	c	PROPN
ajset-575	553	18	r4	r4	VERB
ajset-575	554	1	=	=	PUNCT
ajset-575	554	2	f	f	X
ajset-575	554	3	u	u	PROPN
ajset-575	554	4	m	m	NOUN
ajset-575	554	5	dvt	dvt	PROPN
ajset-575	554	6	d	d	NOUN
ajset-575	554	7	bet	bet	NOUN
ajset-575	554	8	t	t	PROPN
ajset-575	554	9	dvt	dvt	PROPN
ajset-575	555	1	=	=	PROPN
ajset-575	555	2	=	=	SYM
ajset-575	555	3	v	v	NUM
ajset-575	555	4	et	et	NOUN
ajset-575	555	5	dt	dt	NOUN
ajset-575	555	6	dt	dt	X
ajset-575	555	7	dt	dt	X
ajset-575	556	1	=	=	SYM
ajset-575	556	2	f	f	PROPN
ajset-575	556	3	u	u	NOUN
ajset-575	556	4	=	=	NOUN
ajset-575	556	5	r	r	NOUN
ajset-575	556	6	vt	vt	PROPN
ajset-575	556	7	et	et	PROPN
ajset-575	556	8	at	at	ADP
ajset-575	556	9	m	m	PROPN
ajset-575	556	10	pt	pt	NOUN
ajset-575	557	1	so	so	ADV
ajset-575	557	2	when	when	SCONJ
ajset-575	557	3	a	a	DET
ajset-575	557	4	homogeneous	homogeneous	ADJ
ajset-575	557	5	electric	electric	ADJ
ajset-575	557	6	field	field	NOUN
ajset-575	557	7	is	be	AUX
ajset-575	557	8	present	present	ADJ
ajset-575	557	9	,	,	PUNCT
ajset-575	557	10	there	there	PRON
ajset-575	557	11	appears	appear	VERB
ajset-575	557	12	to	to	PART
ajset-575	557	13	be	be	AUX
ajset-575	557	14	a	a	DET
ajset-575	557	15	boost	boost	NOUN
ajset-575	557	16	in	in	ADP
ajset-575	557	17	potential	potential	NOUN
ajset-575	557	18	that	that	PRON
ajset-575	557	19	is	be	AUX
ajset-575	557	20	both	both	CCONJ
ajset-575	557	21	rotational	rotational	ADJ
ajset-575	557	22	(	(	PUNCT
ajset-575	557	23	v	v	NOUN
ajset-575	557	24	r	r	NOUN
ajset-575	557	25	p	p	NOUN
ajset-575	557	26	t	t	PROPN
ajset-575	557	27	1v	1v	NUM
ajset-575	557	28	t	t	PROPN
ajset-575	557	29	)	)	PUNCT
ajset-575	557	30	and	and	CCONJ
ajset-575	557	31	radial	radial	ADJ
ajset-575	557	32	(	(	PUNCT
ajset-575	557	33	e	e	NOUN
ajset-575	557	34	t	t	PROPN
ajset-575	557	35	at	at	ADP
ajset-575	557	36	)	)	PUNCT
ajset-575	557	37	.	.	PUNCT
ajset-575	558	1	one	one	PRON
ajset-575	558	2	can	can	AUX
ajset-575	558	3	imagine	imagine	VERB
ajset-575	558	4	this	this	PRON
ajset-575	558	5	intuitively	intuitively	ADV
ajset-575	558	6	when	when	SCONJ
ajset-575	558	7	using	use	VERB
ajset-575	558	8	the	the	DET
ajset-575	558	9	right	right	ADJ
ajset-575	558	10	hand	hand	NOUN
ajset-575	558	11	rule	rule	NOUN
ajset-575	558	12	of	of	ADP
ajset-575	558	13	thumb	thumb	NOUN
ajset-575	558	14	:	:	PUNCT
ajset-575	558	15	it	it	PRON
ajset-575	558	16	is	be	AUX
ajset-575	558	17	like	like	ADP
ajset-575	558	18	tightening	tighten	VERB
ajset-575	558	19	the	the	DET
ajset-575	558	20	fist	fist	NOUN
ajset-575	558	21	while	while	SCONJ
ajset-575	558	22	pushing	push	VERB
ajset-575	558	23	the	the	DET
ajset-575	558	24	thumb	thumb	NOUN
ajset-575	558	25	forward	forward	ADV
ajset-575	558	26	.	.	PUNCT
ajset-575	559	1	when	when	SCONJ
ajset-575	559	2	the	the	DET
ajset-575	559	3	homogeneous	homogeneous	ADJ
ajset-575	559	4	electric	electric	ADJ
ajset-575	559	5	field	field	NOUN
ajset-575	559	6	is	be	AUX
ajset-575	559	7	attracting	attract	VERB
ajset-575	559	8	the	the	DET
ajset-575	559	9	negative	negative	ADJ
ajset-575	559	10	field	field	NOUN
ajset-575	559	11	of	of	ADP
ajset-575	559	12	the	the	DET
ajset-575	559	13	electron?s	electron?s	NOUN
ajset-575	559	14	rotating	rotating	NOUN
ajset-575	559	15	wave	wave	NOUN
ajset-575	559	16	,	,	PUNCT
ajset-575	559	17	then	then	ADV
ajset-575	559	18	the	the	DET
ajset-575	559	19	potential	potential	NOUN
ajset-575	559	20	is	be	AUX
ajset-575	559	21	positive	positive	ADJ
ajset-575	559	22	and	and	CCONJ
ajset-575	559	23	the	the	DET
ajset-575	559	24	rotation	rotation	NOUN
ajset-575	559	25	and	and	CCONJ
ajset-575	559	26	forward	forward	ADJ
ajset-575	559	27	translational	translational	ADJ
ajset-575	559	28	motion	motion	NOUN
ajset-575	559	29	is	be	AUX
ajset-575	559	30	immediately	immediately	ADV
ajset-575	559	31	amplified	amplify	VERB
ajset-575	559	32	.	.	PUNCT
ajset-575	560	1	in	in	ADP
ajset-575	560	2	that	that	DET
ajset-575	560	3	case	case	NOUN
ajset-575	560	4	,	,	PUNCT
ajset-575	560	5	the	the	DET
ajset-575	560	6	light	light	ADJ
ajset-575	560	7	line	line	NOUN
ajset-575	560	8	(	(	PUNCT
ajset-575	560	9	radius	radius	NOUN
ajset-575	560	10	at	at	ADP
ajset-575	560	11	which	which	PRON
ajset-575	560	12	rotating	rotate	VERB
ajset-575	560	13	wave	wave	NOUN
ajset-575	560	14	speed	speed	NOUN
ajset-575	560	15	is	be	AUX
ajset-575	560	16	c	c	NOUN
ajset-575	560	17	)	)	PUNCT
ajset-575	560	18	spirals	spiral	NOUN
ajset-575	560	19	inwards	inward	NOUN
ajset-575	560	20	(	(	PUNCT
ajset-575	560	21	tightens	tighten	VERB
ajset-575	560	22	)	)	PUNCT
ajset-575	560	23	creating	create	VERB
ajset-575	560	24	the	the	DET
ajset-575	560	25	bullet	bullet	NOUN
ajset-575	560	26	form	form	NOUN
ajset-575	560	27	of	of	ADP
ajset-575	560	28	intrinsic	intrinsic	ADJ
ajset-575	560	29	curvature	curvature	NOUN
ajset-575	560	30	and	and	CCONJ
ajset-575	560	31	the	the	DET
ajset-575	560	32	mass	mass	ADJ
ajset-575	560	33	energy	energy	NOUN
ajset-575	560	34	is	be	AUX
ajset-575	560	35	increased	increase	VERB
ajset-575	560	36	.	.	PUNCT
ajset-575	561	1	when	when	SCONJ
ajset-575	561	2	the	the	DET
ajset-575	561	3	potential	potential	NOUN
ajset-575	561	4	is	be	AUX
ajset-575	561	5	negative	negative	ADJ
ajset-575	561	6	,	,	PUNCT
ajset-575	561	7	the	the	DET
ajset-575	561	8	rotation	rotation	NOUN
ajset-575	561	9	and	and	CCONJ
ajset-575	561	10	translational	translational	ADJ
ajset-575	561	11	motion	motion	NOUN
ajset-575	561	12	are	be	AUX
ajset-575	561	13	immediately	immediately	ADV
ajset-575	561	14	decreased	decrease	VERB
ajset-575	561	15	.	.	PUNCT
ajset-575	562	1	in	in	ADP
ajset-575	562	2	that	that	DET
ajset-575	562	3	negative	negative	ADJ
ajset-575	562	4	case	case	NOUN
ajset-575	562	5	,	,	PUNCT
ajset-575	562	6	the	the	DET
ajset-575	562	7	light	light	ADJ
ajset-575	562	8	line	line	NOUN
ajset-575	562	9	spirals	spiral	NOUN
ajset-575	562	10	outwards	outward	VERB
ajset-575	562	11	and	and	CCONJ
ajset-575	562	12	mass	mass	ADJ
ajset-575	562	13	energy	energy	NOUN
ajset-575	562	14	is	be	AUX
ajset-575	562	15	dissipated	dissipate	VERB
ajset-575	562	16	.	.	PUNCT
ajset-575	563	1	in	in	ADP
ajset-575	563	2	comparison	comparison	NOUN
ajset-575	563	3	to	to	ADP
ajset-575	563	4	the	the	DET
ajset-575	563	5	gravitational	gravitational	ADJ
ajset-575	563	6	theory	theory	NOUN
ajset-575	563	7	and	and	CCONJ
ajset-575	563	8	its	its	PRON
ajset-575	563	9	slowing	slow	VERB
ajset-575	563	10	down	down	ADP
ajset-575	563	11	of	of	ADP
ajset-575	563	12	time	time	NOUN
ajset-575	563	13	and	and	CCONJ
ajset-575	563	14	energy	energy	NOUN
ajset-575	563	15	,	,	PUNCT
ajset-575	563	16	this	this	PRON
ajset-575	563	17	suggests	suggest	VERB
ajset-575	563	18	some	some	DET
ajset-575	563	19	additional	additional	ADJ
ajset-575	563	20	impact	impact	NOUN
ajset-575	563	21	on	on	ADP
ajset-575	563	22	the	the	DET
ajset-575	563	23	expansion	expansion	NOUN
ajset-575	563	24	of	of	ADP
ajset-575	563	25	the	the	DET
ajset-575	563	26	universe	universe	NOUN
ajset-575	563	27	by	by	ADP
ajset-575	563	28	electromagnetic	electromagnetic	ADJ
ajset-575	563	29	interactions	interaction	NOUN
ajset-575	563	30	.	.	PUNCT
ajset-575	564	1	consider	consider	VERB
ajset-575	564	2	a	a	DET
ajset-575	564	3	rotating	rotate	VERB
ajset-575	564	4	wave	wave	NOUN
ajset-575	564	5	held	hold	VERB
ajset-575	564	6	stationary	stationary	ADJ
ajset-575	564	7	(	(	PUNCT
ajset-575	564	8	on	on	ADP
ajset-575	564	9	the	the	DET
ajset-575	564	10	wall	wall	NOUN
ajset-575	564	11	)	)	PUNCT
ajset-575	564	12	while	while	SCONJ
ajset-575	564	13	in	in	ADP
ajset-575	564	14	a	a	DET
ajset-575	564	15	homogeneous	homogeneous	ADJ
ajset-575	564	16	attracting	attract	VERB
ajset-575	564	17	electric	electric	ADJ
ajset-575	564	18	field	field	NOUN
ajset-575	564	19	.	.	PUNCT
ajset-575	565	1	at	at	ADP
ajset-575	565	2	a	a	DET
ajset-575	565	3	certain	certain	ADJ
ajset-575	565	4	radius	radius	NOUN
ajset-575	565	5	rr	rr	NOUN
ajset-575	565	6	,	,	PUNCT
ajset-575	565	7	the	the	DET
ajset-575	565	8	tangential	tangential	ADJ
ajset-575	565	9	velocity	velocity	NOUN
ajset-575	565	10	of	of	ADP
ajset-575	565	11	the	the	DET
ajset-575	565	12	rotating	rotate	VERB
ajset-575	565	13	wave	wave	NOUN
ajset-575	565	14	is	be	AUX
ajset-575	565	15	traveling	travel	VERB
ajset-575	565	16	at	at	ADP
ajset-575	565	17	the	the	DET
ajset-575	565	18	speed	speed	NOUN
ajset-575	565	19	of	of	ADP
ajset-575	565	20	light	light	NOUN
ajset-575	565	21	cr	cr	NOUN
ajset-575	565	22	=	=	SYM
ajset-575	565	23	vr	vr	PROPN
ajset-575	565	24	and	and	CCONJ
ajset-575	565	25	thus	thus	ADV
ajset-575	565	26	;	;	PUNCT
ajset-575	565	27	dcr	dcr	PROPN
ajset-575	565	28	2	2	NUM
ajset-575	565	29	q	q	NOUN
ajset-575	565	30	r	r	NOUN
ajset-575	565	31	=	=	PUNCT
ajset-575	565	32	c	c	NOUN
ajset-575	565	33	rr	rr	NOUN
ajset-575	566	1	=	=	PUNCT
ajset-575	566	2	f	f	PROPN
ajset-575	566	3	ru	ru	NOUN
ajset-575	566	4	dt	dt	INTJ
ajset-575	566	5	m	m	PROPN
ajset-575	566	6	and	and	CCONJ
ajset-575	566	7	the	the	DET
ajset-575	566	8	rr	rr	PROPN
ajset-575	566	9	is	be	AUX
ajset-575	566	10	simply	simply	ADV
ajset-575	566	11	the	the	DET
ajset-575	566	12	inverse	inverse	NOUN
ajset-575	566	13	of	of	ADP
ajset-575	566	14	the	the	DET
ajset-575	566	15	radial	radial	ADJ
ajset-575	566	16	vector	vector	NOUN
ajset-575	566	17	.	.	PUNCT
ajset-575	567	1	now	now	ADV
ajset-575	567	2	consider	consider	VERB
ajset-575	567	3	a	a	DET
ajset-575	567	4	rotating	rotate	VERB
ajset-575	567	5	wave	wave	NOUN
ajset-575	567	6	(	(	PUNCT
ajset-575	567	7	off	off	ADP
ajset-575	567	8	the	the	DET
ajset-575	567	9	wall	wall	NOUN
ajset-575	567	10	)	)	PUNCT
ajset-575	567	11	and	and	CCONJ
ajset-575	567	12	free	free	ADJ
ajset-575	567	13	falling	fall	VERB
ajset-575	567	14	straight	straight	ADV
ajset-575	567	15	in	in	ADP
ajset-575	567	16	a	a	DET
ajset-575	567	17	homogeneous	homogeneous	ADJ
ajset-575	567	18	attracting	attract	VERB
ajset-575	567	19	electric	electric	ADJ
ajset-575	567	20	field	field	NOUN
ajset-575	567	21	:	:	PUNCT
ajset-575	567	22	c4	c4	NOUN
ajset-575	567	23	=	=	CCONJ
ajset-575	567	24	vv	vv	ADP
ajset-575	567	25	vr	vr	NOUN
ajset-575	567	26	=	=	PUNCT
ajset-575	567	27	vvcr	vvcr	NOUN
ajset-575	567	28	c5	c5	PROPN
ajset-575	567	29	=	=	PUNCT
ajset-575	567	30	vv	vv	ADP
ajset-575	567	31	vr	vr	PROPN
ajset-575	567	32	vt	vt	PROPN
ajset-575	567	33	dc4	dc4	VERB
ajset-575	567	34	2	2	NUM
ajset-575	567	35	q	q	NOUN
ajset-575	567	36	=	=	SYM
ajset-575	567	37	c	c	X
ajset-575	567	38	r4	r4	NOUN
ajset-575	567	39	=	=	PUNCT
ajset-575	567	40	f	f	X
ajset-575	567	41	u	u	NOUN
ajset-575	567	42	dt	dt	NOUN
ajset-575	567	43	m	m	PROPN
ajset-575	567	44	dv	dv	PROPN
ajset-575	567	45	q	q	X
ajset-575	567	46	r	r	NOUN
ajset-575	567	47	=	=	PUNCT
ajset-575	567	48	ev	ev	X
ajset-575	567	49	f	f	PROPN
ajset-575	567	50	r	r	NOUN
ajset-575	567	51	u	u	NOUN
ajset-575	567	52	dt	dt	NOUN
ajset-575	567	53	m	m	NOUN
ajset-575	567	54	c2r4	c2r4	X
ajset-575	568	1	=	=	SYM
ajset-575	568	2	av	av	PROPN
ajset-575	568	3	(	(	PUNCT
ajset-575	568	4	q	q	X
ajset-575	568	5	/	/	SYM
ajset-575	568	6	m)fr	m)fr	NOUN
ajset-575	568	7	u	u	NOUN
ajset-575	568	8	r	r	PROPN
ajset-575	568	9	dc5	dc5	PROPN
ajset-575	568	10	/	/	SYM
ajset-575	568	11	dt	dt	NOUN
ajset-575	568	12	=	=	PUNCT
ajset-575	568	13	c2r5	c2r5	NOUN
ajset-575	568	14	=	=	PUNCT
ajset-575	568	15	(	(	PUNCT
ajset-575	568	16	q	q	NOUN
ajset-575	568	17	/	/	SYM
ajset-575	568	18	m	m	NOUN
ajset-575	568	19	)	)	PUNCT
ajset-575	569	1	f	f	PROPN
ajset-575	569	2	u	u	NOUN
ajset-575	569	3	dvt	dvt	PROPN
ajset-575	569	4	/dt	/dt	PUNCT
ajset-575	570	1	=	=	SYM
ajset-575	570	2	av	av	PROPN
ajset-575	570	3	(	(	PUNCT
ajset-575	570	4	q	q	NOUN
ajset-575	570	5	/	/	SYM
ajset-575	570	6	m	m	NOUN
ajset-575	570	7	)	)	PUNCT
ajset-575	570	8	f	f	PROPN
ajset-575	570	9	r	r	NOUN
ajset-575	570	10	u	u	NOUN
ajset-575	570	11	r	r	NOUN
ajset-575	570	12	dvt	dvt	NOUN
ajset-575	570	13	/dt	/dt	PUNCT
ajset-575	571	1	c2r5	c2r5	ADP
ajset-575	571	2	=	=	SYM
ajset-575	571	3	av	av	PROPN
ajset-575	571	4	(	(	PUNCT
ajset-575	571	5	q	q	NOUN
ajset-575	571	6	/	/	SYM
ajset-575	571	7	m	m	NOUN
ajset-575	571	8	)	)	PUNCT
ajset-575	572	1	f	f	PROPN
ajset-575	572	2	r	r	NOUN
ajset-575	572	3	u	u	NOUN
ajset-575	572	4	r	r	NOUN
ajset-575	572	5	d	d	PROPN
ajset-575	572	6	e	e	PROPN
ajset-575	572	7	t	t	PROPN
ajset-575	572	8	/	/	SYM
ajset-575	572	9	dtvt	dtvt	ADJ
ajset-575	572	10	e	e	NOUN
ajset-575	572	11	tdvt	tdvt	NOUN
ajset-575	572	12	/dt	/dt	PUNCT
ajset-575	573	1	=	=	SYM
ajset-575	573	2	av	av	PROPN
ajset-575	573	3	(	(	PUNCT
ajset-575	573	4	q	q	NOUN
ajset-575	573	5	/	/	SYM
ajset-575	573	6	m	m	NOUN
ajset-575	573	7	)	)	PUNCT
ajset-575	573	8	f	f	PROPN
ajset-575	574	1	r	r	NOUN
ajset-575	574	2	ur	ur	INTJ
ajset-575	574	3	vrpt	vrpt	PROPN
ajset-575	574	4	1vt	1vt	NOUN
ajset-575	574	5	at	at	ADP
ajset-575	574	6	letting	let	VERB
ajset-575	574	7	c2r	c2r	NOUN
ajset-575	574	8	5	5	NUM
ajset-575	574	9	=	=	SYM
ajset-575	574	10	0	0	NUM
ajset-575	574	11	,	,	PUNCT
ajset-575	574	12	then	then	ADV
ajset-575	574	13	the	the	DET
ajset-575	574	14	extra	extra	ADJ
ajset-575	574	15	term	term	NOUN
ajset-575	574	16	,	,	PUNCT
ajset-575	574	17	(	(	PUNCT
ajset-575	574	18	7	7	NUM
ajset-575	574	19	(	(	PUNCT
ajset-575	574	20	7	7	NUM
ajset-575	574	21	(	(	PUNCT
ajset-575	574	22	7	7	NUM
ajset-575	574	23	(	(	PUNCT
ajset-575	574	24	7	7	NUM
ajset-575	574	25	(	(	PUNCT
ajset-575	574	26	7	7	NUM
ajset-575	574	27	(	(	PUNCT
ajset-575	574	28	8	8	NUM
ajset-575	574	29	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	574	30	academic	academic	ADJ
ajset-575	574	31	journal	journal	NOUN
ajset-575	574	32	of	of	ADP
ajset-575	574	33	science	science	NOUN
ajset-575	574	34	,	,	PUNCT
ajset-575	574	35	engineering	engineering	NOUN
ajset-575	574	36	and	and	CCONJ
ajset-575	574	37	technology	technology	NOUN
ajset-575	574	38	vol.6	vol.6	PROPN
ajset-575	574	39	,	,	PUNCT
ajset-575	574	40	issue	issue	NOUN
ajset-575	574	41	1	1	NUM
ajset-575	574	42	;	;	PUNCT
ajset-575	574	43	january	january	PROPN
ajset-575	574	44	febuary	febuary	PROPN
ajset-575	574	45	2021	2021	NUM
ajset-575	574	46	;	;	PUNCT
ajset-575	574	47	1252	1252	NUM
ajset-575	574	48	columbia	columbia	PROPN
ajset-575	574	49	rd	rd	PROPN
ajset-575	574	50	nw	nw	PROPN
ajset-575	574	51	,	,	PUNCT
ajset-575	574	52	washington	washington	PROPN
ajset-575	574	53	dc	dc	PROPN
ajset-575	574	54	,	,	PUNCT
ajset-575	574	55	united	united	PROPN
ajset-575	574	56	states	states	PROPN
ajset-575	574	57	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	574	58	;	;	PUNCT
ajset-575	574	59	mail	mail	NOUN
ajset-575	574	60	:	:	PUNCT
ajset-575	574	61	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	575	1	76	76	NUM
ajset-575	576	1	|	|	ADV
ajset-575	576	2	a	a	DET
ajset-575	576	3	c	c	NOUN
ajset-575	576	4	a	a	PRON
ajset-575	577	1	d	d	X
ajset-575	577	2	e	e	NOUN
ajset-575	577	3	m	m	NOUN
ajset-575	577	4	i	i	NOUN
ajset-575	577	5	c	c	NOUN
ajset-575	577	6	j	j	NOUN
ajset-575	577	7	o	o	X
ajset-575	577	8	u	u	NOUN
ajset-575	577	9	r	r	NOUN
ajset-575	577	10	n	n	NOUN
ajset-575	577	11	a	a	DET
ajset-575	577	12	l	l	NOUN
ajset-575	578	1	o	o	X
ajset-575	578	2	f	f	X
ajset-575	578	3	s	s	X
ajset-575	578	4	c	c	NOUN
ajset-575	579	1	i	i	NOUN
ajset-575	579	2	e	e	PROPN
ajset-575	579	3	n	n	PROPN
ajset-575	579	4	c	c	NOUN
ajset-575	579	5	e	e	X
ajset-575	579	6	,	,	PUNCT
ajset-575	579	7	e	e	PROPN
ajset-575	579	8	n	n	PRON
ajset-575	579	9	g	g	NOUN
ajset-575	579	10	i	i	PRON
ajset-575	579	11	n	n	VERB
ajset-575	579	12	e	e	NOUN
ajset-575	579	13	e	e	NOUN
ajset-575	579	14	r	r	VERB
ajset-575	579	15	i	i	PRON
ajset-575	579	16	n	n	CCONJ
ajset-575	579	17	g	g	PROPN
ajset-575	579	18	a	a	DET
ajset-575	579	19	n	n	NOUN
ajset-575	579	20	d	d	NOUN
ajset-575	579	21	t	t	NOUN
ajset-575	579	22	e	e	X
ajset-575	579	23	c	c	NOUN
ajset-575	579	24	h	h	NOUN
ajset-575	579	25	n	n	ADV
ajset-575	579	26	o	o	NOUN
ajset-575	579	27	l	l	NOUN
ajset-575	580	1	o	o	X
ajset-575	580	2	g	g	NOUN
ajset-575	580	3	y	y	PROPN
ajset-575	580	4	|	|	ADV
ajset-575	580	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	580	6	et	et	NOUN
ajset-575	580	7	=	=	PUNCT
ajset-575	580	8	vrpt	vrpt	NOUN
ajset-575	580	9	1vt	1vt	NOUN
ajset-575	580	10	at	at	ADP
ajset-575	580	11	=	=	PROPN
ajset-575	580	12	av	av	PROPN
ajset-575	580	13	(	(	PUNCT
ajset-575	580	14	q	q	NOUN
ajset-575	580	15	/	/	SYM
ajset-575	580	16	m	m	NOUN
ajset-575	580	17	)	)	PUNCT
ajset-575	580	18	f	f	NOUN
ajset-575	581	1	r	r	NOUN
ajset-575	581	2	ur	ur	INTJ
ajset-575	581	3	and	and	CCONJ
ajset-575	581	4	thus	thus	ADV
ajset-575	581	5	:	:	PUNCT
ajset-575	581	6	dvv	dvv	NOUN
ajset-575	581	7	/	/	SYM
ajset-575	581	8	dt	dt	NOUN
ajset-575	581	9	=	=	PUNCT
ajset-575	581	10	(	(	PUNCT
ajset-575	581	11	q	q	ADJ
ajset-575	581	12	/	/	SYM
ajset-575	581	13	m	m	NOUN
ajset-575	581	14	)	)	PUNCT
ajset-575	581	15	f	f	PROPN
ajset-575	581	16	vu	vu	PROPN
ajset-575	581	17	v	v	PROPN
ajset-575	581	18	dvr	dvr	PROPN
ajset-575	581	19	/	/	SYM
ajset-575	581	20	dt	dt	NOUN
ajset-575	581	21	=	=	PUNCT
ajset-575	581	22	(	(	PUNCT
ajset-575	581	23	q	q	ADJ
ajset-575	581	24	/	/	SYM
ajset-575	581	25	m	m	NOUN
ajset-575	581	26	)	)	PUNCT
ajset-575	581	27	f	f	PROPN
ajset-575	581	28	rur	rur	PROPN
ajset-575	581	29	dvt	dvt	PROPN
ajset-575	581	30	/dt	/dt	PUNCT
ajset-575	582	1	=	=	PUNCT
ajset-575	582	2	(	(	PUNCT
ajset-575	582	3	q	q	ADJ
ajset-575	582	4	/	/	SYM
ajset-575	582	5	m	m	NOUN
ajset-575	582	6	)	)	PUNCT
ajset-575	582	7	f	f	PROPN
ajset-575	582	8	tut	tut	PROPN
ajset-575	582	9	.	.	PUNCT
ajset-575	583	1	taehun	taehun	PROPN
ajset-575	583	2	kim	kim	PROPN
ajset-575	583	3	and	and	CCONJ
ajset-575	583	4	hyunbyuk	hyunbyuk	PROPN
ajset-575	583	5	kim	kim	PROPN
ajset-575	583	6	also	also	ADV
ajset-575	583	7	suggest	suggest	VERB
ajset-575	583	8	“	"	PUNCT
ajset-575	583	9	is	be	AUX
ajset-575	583	10	possible	possible	ADJ
ajset-575	583	11	to	to	PART
ajset-575	583	12	imagine	imagine	VERB
ajset-575	583	13	a	a	DET
ajset-575	583	14	mechanical	mechanical	ADJ
ajset-575	583	15	wave	wave	NOUN
ajset-575	583	16	propogating	propogating	NOUN
ajset-575	583	17	along	along	ADP
ajset-575	583	18	a	a	DET
ajset-575	583	19	particle	particle	NOUN
ajset-575	583	20	-	-	PUNCT
ajset-575	583	21	thread	thread	NOUN
ajset-575	583	22	”	"	PUNCT
ajset-575	583	23	.	.	PUNCT
ajset-575	584	1	that	that	DET
ajset-575	584	2	thread	thread	NOUN
ajset-575	584	3	according	accord	VERB
ajset-575	584	4	to	to	ADP
ajset-575	584	5	the	the	DET
ajset-575	584	6	rotating	rotate	VERB
ajset-575	584	7	wave	wave	NOUN
ajset-575	584	8	model	model	NOUN
ajset-575	584	9	would	would	AUX
ajset-575	584	10	appear	appear	VERB
ajset-575	584	11	to	to	PART
ajset-575	584	12	be	be	AUX
ajset-575	584	13	the	the	DET
ajset-575	584	14	light	light	ADJ
ajset-575	584	15	line	line	NOUN
ajset-575	584	16	at	at	ADP
ajset-575	584	17	a	a	DET
ajset-575	584	18	radius	radius	NOUN
ajset-575	584	19	where	where	SCONJ
ajset-575	584	20	the	the	DET
ajset-575	584	21	wave	wave	NOUN
ajset-575	584	22	front	front	NOUN
ajset-575	584	23	has	have	VERB
ajset-575	584	24	the	the	DET
ajset-575	584	25	constant	constant	ADJ
ajset-575	584	26	speed	speed	NOUN
ajset-575	584	27	of	of	ADP
ajset-575	584	28	light	light	NOUN
ajset-575	584	29	(	(	PUNCT
ajset-575	584	30	c	c	NOUN
ajset-575	584	31	)	)	PUNCT
ajset-575	584	32	.	.	PUNCT
ajset-575	585	1	again	again	ADV
ajset-575	585	2	that	that	SCONJ
ajset-575	585	3	light	light	ADJ
ajset-575	585	4	line	line	NOUN
ajset-575	585	5	would	would	AUX
ajset-575	585	6	be	be	AUX
ajset-575	585	7	dragged	drag	VERB
ajset-575	585	8	or	or	CCONJ
ajset-575	585	9	deformed	deform	VERB
ajset-575	585	10	by	by	ADP
ajset-575	585	11	an	an	DET
ajset-575	585	12	electric	electric	ADJ
ajset-575	585	13	field	field	NOUN
ajset-575	585	14	outwards	outward	NOUN
ajset-575	585	15	or	or	CCONJ
ajset-575	585	16	inwards	inward	NOUN
ajset-575	585	17	depending	depend	VERB
ajset-575	585	18	on	on	ADP
ajset-575	585	19	charge	charge	NOUN
ajset-575	585	20	.	.	PUNCT
ajset-575	586	1	essentially	essentially	ADV
ajset-575	586	2	the	the	DET
ajset-575	586	3	enormous	enormous	ADJ
ajset-575	586	4	difference	difference	NOUN
ajset-575	586	5	between	between	ADP
ajset-575	586	6	the	the	DET
ajset-575	586	7	strength	strength	NOUN
ajset-575	586	8	of	of	ADP
ajset-575	586	9	electromagnetism	electromagnetism	NOUN
ajset-575	586	10	and	and	CCONJ
ajset-575	586	11	gravity	gravity	NOUN
ajset-575	586	12	can	can	AUX
ajset-575	586	13	probably	probably	ADV
ajset-575	586	14	be	be	AUX
ajset-575	586	15	accounted	account	VERB
ajset-575	586	16	for	for	ADP
ajset-575	586	17	by	by	ADP
ajset-575	586	18	comparison	comparison	NOUN
ajset-575	586	19	of	of	ADP
ajset-575	586	20	the	the	DET
ajset-575	586	21	direct	direct	ADJ
ajset-575	586	22	and	and	CCONJ
ajset-575	586	23	immediate	immediate	ADJ
ajset-575	586	24	deformation	deformation	NOUN
ajset-575	586	25	of	of	ADP
ajset-575	586	26	electric	electric	ADJ
ajset-575	586	27	field	field	NOUN
ajset-575	586	28	verses	verses	ADP
ajset-575	586	29	the	the	DET
ajset-575	586	30	slight	slight	ADJ
ajset-575	586	31	and	and	CCONJ
ajset-575	586	32	indirect	indirect	ADJ
ajset-575	586	33	affect	affect	NOUN
ajset-575	586	34	of	of	ADP
ajset-575	586	35	a	a	DET
ajset-575	586	36	rotating	rotate	VERB
ajset-575	586	37	wave	wave	NOUN
ajset-575	586	38	on	on	ADP
ajset-575	586	39	another	another	DET
ajset-575	586	40	wave	wave	NOUN
ajset-575	586	41	via	via	ADP
ajset-575	586	42	the	the	DET
ajset-575	586	43	bending	bend	VERB
ajset-575	586	44	interaction	interaction	NOUN
ajset-575	586	45	through	through	ADP
ajset-575	586	46	the	the	DET
ajset-575	586	47	permeability	permeability	NOUN
ajset-575	586	48	and	and	CCONJ
ajset-575	586	49	permittivity	permittivity	NOUN
ajset-575	586	50	of	of	ADP
ajset-575	586	51	em	em	PRON
ajset-575	586	52	vacuum	vacuum	NOUN
ajset-575	586	53	field	field	NOUN
ajset-575	586	54	.	.	PUNCT
ajset-575	587	1	the	the	DET
ajset-575	587	2	rotating	rotate	VERB
ajset-575	587	3	wave	wave	NOUN
ajset-575	587	4	theory	theory	NOUN
ajset-575	587	5	is	be	AUX
ajset-575	587	6	grounded	ground	VERB
ajset-575	587	7	in	in	ADP
ajset-575	587	8	the	the	DET
ajset-575	587	9	3	3	NUM
ajset-575	587	10	dimensional	dimensional	ADJ
ajset-575	587	11	space	space	NOUN
ajset-575	587	12	we	we	PRON
ajset-575	587	13	are	be	AUX
ajset-575	587	14	very	very	ADV
ajset-575	587	15	familiar	familiar	ADJ
ajset-575	587	16	with	with	ADP
ajset-575	587	17	and	and	CCONJ
ajset-575	587	18	observe	observe	VERB
ajset-575	587	19	everywhere	everywhere	ADV
ajset-575	587	20	.	.	PUNCT
ajset-575	588	1	the	the	DET
ajset-575	588	2	rotating	rotate	VERB
ajset-575	588	3	wave	wave	NOUN
ajset-575	588	4	theory	theory	NOUN
ajset-575	588	5	suggests	suggest	VERB
ajset-575	588	6	that	that	SCONJ
ajset-575	588	7	the	the	DET
ajset-575	588	8	5th	5th	ADJ
ajset-575	588	9	dimension	dimension	NOUN
ajset-575	588	10	as	as	SCONJ
ajset-575	588	11	suggested	suggest	VERB
ajset-575	588	12	by	by	ADP
ajset-575	588	13	kaluza	kaluza	PROPN
ajset-575	588	14	is	be	AUX
ajset-575	588	15	likely	likely	ADJ
ajset-575	588	16	the	the	DET
ajset-575	588	17	5th	5th	ADJ
ajset-575	588	18	radial	radial	ADJ
ajset-575	588	19	vector	vector	NOUN
ajset-575	588	20	vt	vt	NOUN
ajset-575	588	21	of	of	ADP
ajset-575	588	22	the	the	DET
ajset-575	588	23	rotating	rotate	VERB
ajset-575	588	24	wave	wave	NOUN
ajset-575	588	25	.	.	PUNCT
ajset-575	589	1	the	the	DET
ajset-575	589	2	rotating	rotate	VERB
ajset-575	589	3	wave	wave	NOUN
ajset-575	589	4	obviously	obviously	ADV
ajset-575	589	5	requires	require	VERB
ajset-575	589	6	faster	fast	ADV
ajset-575	589	7	than	than	ADP
ajset-575	589	8	light	light	ADJ
ajset-575	589	9	velocities	velocity	NOUN
ajset-575	589	10	at	at	ADP
ajset-575	589	11	greater	great	ADJ
ajset-575	589	12	radii	radius	NOUN
ajset-575	589	13	plus	plus	CCONJ
ajset-575	589	14	nonlocal	nonlocal	ADJ
ajset-575	589	15	interaction	interaction	NOUN
ajset-575	589	16	.	.	PUNCT
ajset-575	590	1	what	what	PRON
ajset-575	590	2	one	one	NUM
ajset-575	590	3	observer	observer	NOUN
ajset-575	590	4	sees	see	VERB
ajset-575	590	5	might	might	AUX
ajset-575	590	6	be	be	AUX
ajset-575	590	7	just	just	ADV
ajset-575	590	8	another	another	DET
ajset-575	590	9	perspective	perspective	NOUN
ajset-575	590	10	compared	compare	VERB
ajset-575	590	11	to	to	ADP
ajset-575	590	12	others	other	NOUN
ajset-575	590	13	.	.	PUNCT
ajset-575	591	1	in	in	ADP
ajset-575	591	2	an	an	DET
ajset-575	591	3	article	article	NOUN
ajset-575	591	4	prepared	prepare	VERB
ajset-575	591	5	by	by	ADP
ajset-575	591	6	lance	lance	PROPN
ajset-575	591	7	l.	l.	PROPN
ajset-575	591	8	williams	williams	PROPN
ajset-575	592	1	[	[	X
ajset-575	592	2	6	6	X
ajset-575	592	3	]	]	PUNCT
ajset-575	592	4	he	he	PRON
ajset-575	592	5	states	state	VERB
ajset-575	592	6	that:“it	that:“it	PROPN
ajset-575	592	7	has	have	AUX
ajset-575	592	8	been	be	AUX
ajset-575	592	9	little	little	ADJ
ajset-575	592	10	–	–	PUNCT
ajset-575	592	11	appreciated	appreciated	ADJ
ajset-575	592	12	but	but	CCONJ
ajset-575	592	13	motion	motion	NOUN
ajset-575	592	14	in	in	ADP
ajset-575	592	15	the	the	DET
ajset-575	592	16	5th	5th	ADJ
ajset-575	592	17	dimension	dimension	NOUN
ajset-575	592	18	is	be	AUX
ajset-575	592	19	identified	identify	VERB
ajset-575	592	20	with	with	ADP
ajset-575	592	21	electric	electric	ADJ
ajset-575	592	22	charge	charge	NOUN
ajset-575	592	23	.	.	PUNCT
ajset-575	593	1	he	he	PRON
ajset-575	593	2	also	also	ADV
ajset-575	593	3	notes	note	VERB
ajset-575	593	4	:	:	PUNCT
ajset-575	593	5	the	the	DET
ajset-575	593	6	5	5	NUM
ajset-575	593	7	d	d	NOUN
ajset-575	593	8	theory	theory	NOUN
ajset-575	593	9	would	would	AUX
ajset-575	593	10	seem	seem	VERB
ajset-575	593	11	to	to	PART
ajset-575	593	12	offer	offer	VERB
ajset-575	593	13	an	an	DET
ajset-575	593	14	avenue	avenue	NOUN
ajset-575	593	15	toward	toward	ADP
ajset-575	593	16	breakthrough	breakthrough	NOUN
ajset-575	593	17	physics	physics	NOUN
ajset-575	593	18	(	(	PUNCT
ajset-575	593	19	breakthrough	breakthrough	NOUN
ajset-575	593	20	propulsion	propulsion	NOUN
ajset-575	593	21	)	)	PUNCT
ajset-575	593	22	because	because	SCONJ
ajset-575	593	23	it	it	PRON
ajset-575	593	24	satisfies	satisfy	VERB
ajset-575	593	25	the	the	DET
ajset-575	593	26	expectations	expectation	NOUN
ajset-575	593	27	for	for	ADP
ajset-575	593	28	such	such	DET
ajset-575	593	29	a	a	DET
ajset-575	593	30	theory	theory	NOUN
ajset-575	593	31	as	as	ADV
ajset-575	593	32	well	well	ADV
ajset-575	593	33	as	as	ADP
ajset-575	593	34	hinting	hint	VERB
ajset-575	593	35	at	at	ADP
ajset-575	593	36	a	a	DET
ajset-575	593	37	possible	possible	ADJ
ajset-575	593	38	approach	approach	NOUN
ajset-575	593	39	to	to	ADP
ajset-575	593	40	hyper	hyper	ADJ
ajset-575	593	41	–	–	PUNCT
ajset-575	593	42	luminal	luminal	ADJ
ajset-575	593	43	travel	travel	NOUN
ajset-575	593	44	:	:	PUNCT
ajset-575	593	45	the	the	DET
ajset-575	593	46	5th	5th	ADJ
ajset-575	593	47	dimension	dimension	NOUN
ajset-575	593	48	.	.	PUNCT
ajset-575	593	49	”	"	PUNCT
ajset-575	594	1	note	note	VERB
ajset-575	594	2	that	that	SCONJ
ajset-575	594	3	as	as	ADP
ajset-575	594	4	per	per	ADP
ajset-575	594	5	the	the	DET
ajset-575	594	6	rotating	rotate	VERB
ajset-575	594	7	wave	wave	NOUN
ajset-575	594	8	,	,	PUNCT
ajset-575	594	9	the	the	DET
ajset-575	594	10	speed	speed	NOUN
ajset-575	594	11	of	of	ADP
ajset-575	594	12	light	light	ADJ
ajset-575	594	13	increases	increase	NOUN
ajset-575	594	14	at	at	ADP
ajset-575	594	15	greater	great	ADJ
ajset-575	594	16	radii	radius	NOUN
ajset-575	594	17	.	.	PUNCT
ajset-575	595	1	perhaps	perhaps	ADV
ajset-575	595	2	it	it	PRON
ajset-575	595	3	is	be	AUX
ajset-575	595	4	possible	possible	ADJ
ajset-575	595	5	to	to	PART
ajset-575	595	6	detect	detect	VERB
ajset-575	595	7	rotating	rotate	VERB
ajset-575	595	8	waves	wave	NOUN
ajset-575	595	9	like	like	ADP
ajset-575	595	10	beacons	beacon	NOUN
ajset-575	595	11	of	of	ADP
ajset-575	595	12	light	light	NOUN
ajset-575	595	13	at	at	ADP
ajset-575	595	14	great	great	ADJ
ajset-575	595	15	distances	distance	NOUN
ajset-575	595	16	,	,	PUNCT
ajset-575	595	17	albeit	albeit	SCONJ
ajset-575	595	18	with	with	ADP
ajset-575	595	19	associated	associated	ADJ
ajset-575	595	20	weak	weak	ADJ
ajset-575	595	21	fields	field	NOUN
ajset-575	595	22	.	.	PUNCT
ajset-575	596	1	with	with	ADP
ajset-575	596	2	futuristic	futuristic	ADJ
ajset-575	596	3	applied	apply	VERB
ajset-575	596	4	technological	technological	ADJ
ajset-575	596	5	advances	advance	NOUN
ajset-575	596	6	,	,	PUNCT
ajset-575	596	7	that	that	PRON
ajset-575	596	8	might	might	AUX
ajset-575	596	9	permit	permit	VERB
ajset-575	596	10	communication	communication	NOUN
ajset-575	596	11	across	across	ADP
ajset-575	596	12	stellar	stellar	ADJ
ajset-575	596	13	distances	distance	NOUN
ajset-575	596	14	and	and	CCONJ
ajset-575	596	15	significantly	significantly	ADV
ajset-575	596	16	further	far	ADV
ajset-575	596	17	the	the	DET
ajset-575	596	18	potential	potential	NOUN
ajset-575	596	19	of	of	ADP
ajset-575	596	20	quantum	quantum	ADJ
ajset-575	596	21	entanglement	entanglement	NOUN
ajset-575	596	22	.	.	PUNCT
ajset-575	597	1	in	in	ADP
ajset-575	597	2	the	the	DET
ajset-575	597	3	more	more	ADV
ajset-575	597	4	near	near	ADJ
ajset-575	597	5	term	term	NOUN
ajset-575	597	6	,	,	PUNCT
ajset-575	597	7	perhaps	perhaps	ADV
ajset-575	597	8	we	we	PRON
ajset-575	597	9	could	could	AUX
ajset-575	597	10	just	just	ADV
ajset-575	597	11	try	try	VERB
ajset-575	597	12	to	to	PART
ajset-575	597	13	model	model	VERB
ajset-575	597	14	the	the	DET
ajset-575	597	15	rotating	rotate	VERB
ajset-575	597	16	wave	wave	NOUN
ajset-575	597	17	and	and	CCONJ
ajset-575	597	18	see	see	VERB
ajset-575	597	19	what	what	PRON
ajset-575	597	20	technological	technological	ADJ
ajset-575	597	21	applications	application	NOUN
ajset-575	597	22	it	it	PRON
ajset-575	597	23	might	might	AUX
ajset-575	597	24	have	have	VERB
ajset-575	597	25	.	.	PUNCT
ajset-575	598	1	the	the	DET
ajset-575	598	2	rotating	rotate	VERB
ajset-575	598	3	wave	wave	NOUN
ajset-575	598	4	suggested	suggest	VERB
ajset-575	598	5	to	to	ADP
ajset-575	598	6	me	i	PRON
ajset-575	598	7	long	long	ADV
ajset-575	598	8	ago	ago	ADV
ajset-575	598	9	that	that	SCONJ
ajset-575	598	10	we	we	PRON
ajset-575	598	11	might	might	AUX
ajset-575	598	12	be	be	AUX
ajset-575	598	13	able	able	ADJ
ajset-575	598	14	to	to	PART
ajset-575	598	15	create	create	VERB
ajset-575	598	16	an	an	DET
ajset-575	598	17	electromagnetic	electromagnetic	ADJ
ajset-575	598	18	propeller	propeller	NOUN
ajset-575	598	19	that	that	PRON
ajset-575	598	20	can	can	AUX
ajset-575	598	21	“	"	PUNCT
ajset-575	598	22	push	push	VERB
ajset-575	598	23	or	or	CCONJ
ajset-575	598	24	pull	pull	VERB
ajset-575	598	25	”	"	PUNCT
ajset-575	598	26	against	against	ADP
ajset-575	598	27	the	the	DET
ajset-575	598	28	em	em	PROPN
ajset-575	598	29	vacuum	vacuum	NOUN
ajset-575	598	30	field	field	NOUN
ajset-575	598	31	of	of	ADP
ajset-575	598	32	space	space	NOUN
ajset-575	598	33	.	.	PUNCT
ajset-575	599	1	the	the	DET
ajset-575	599	2	“	"	PUNCT
ajset-575	599	3	push	push	VERB
ajset-575	599	4	or	or	CCONJ
ajset-575	599	5	pull	pull	VERB
ajset-575	599	6	”	"	PUNCT
ajset-575	599	7	traction	traction	NOUN
ajset-575	599	8	is	be	AUX
ajset-575	599	9	due	due	ADJ
ajset-575	599	10	to	to	ADP
ajset-575	599	11	transmission	transmission	NOUN
ajset-575	599	12	and	and	CCONJ
ajset-575	599	13	rotational	rotational	ADJ
ajset-575	599	14	energy	energy	NOUN
ajset-575	599	15	could	could	AUX
ajset-575	599	16	be	be	AUX
ajset-575	599	17	redirected	redirect	VERB
ajset-575	599	18	into	into	ADP
ajset-575	599	19	forward	forward	ADJ
ajset-575	599	20	motion	motion	NOUN
ajset-575	599	21	.	.	PUNCT
ajset-575	600	1	certainly	certainly	ADV
ajset-575	600	2	,	,	PUNCT
ajset-575	600	3	if	if	SCONJ
ajset-575	600	4	we	we	PRON
ajset-575	600	5	are	be	AUX
ajset-575	600	6	going	go	VERB
ajset-575	600	7	into	into	ADP
ajset-575	600	8	space	space	NOUN
ajset-575	600	9	for	for	ADP
ajset-575	600	10	the	the	DET
ajset-575	600	11	long	long	ADJ
ajset-575	600	12	haul	haul	NOUN
ajset-575	600	13	,	,	PUNCT
ajset-575	600	14	we	we	PRON
ajset-575	600	15	ca	can	AUX
ajset-575	600	16	n’t	not	PART
ajset-575	600	17	afford	afford	VERB
ajset-575	600	18	to	to	PART
ajset-575	600	19	pollute	pollute	VERB
ajset-575	600	20	it	it	PRON
ajset-575	600	21	with	with	ADP
ajset-575	600	22	micro	micro	ADJ
ajset-575	600	23	particles	particle	NOUN
ajset-575	600	24	from	from	ADP
ajset-575	600	25	propellant	propellant	NOUN
ajset-575	600	26	along	along	ADP
ajset-575	600	27	the	the	DET
ajset-575	600	28	same	same	ADJ
ajset-575	600	29	trajectory	trajectory	NOUN
ajset-575	600	30	.	.	PUNCT
ajset-575	601	1	also	also	ADV
ajset-575	601	2	,	,	PUNCT
ajset-575	601	3	a	a	DET
ajset-575	601	4	massless	massless	NOUN
ajset-575	601	5	rocket	rocket	NOUN
ajset-575	601	6	(	(	PUNCT
ajset-575	601	7	like	like	ADP
ajset-575	601	8	an	an	DET
ajset-575	601	9	electromagnetic	electromagnetic	ADJ
ajset-575	601	10	propeller	propeller	NOUN
ajset-575	601	11	)	)	PUNCT
ajset-575	601	12	would	would	AUX
ajset-575	601	13	certainly	certainly	ADV
ajset-575	601	14	be	be	AUX
ajset-575	601	15	much	much	ADV
ajset-575	601	16	more	more	ADV
ajset-575	601	17	efficient	efficient	ADJ
ajset-575	601	18	overall	overall	ADV
ajset-575	601	19	with	with	ADP
ajset-575	601	20	much	much	ADV
ajset-575	601	21	less	less	ADJ
ajset-575	601	22	fuel	fuel	NOUN
ajset-575	601	23	payload	payload	NOUN
ajset-575	601	24	.	.	PUNCT
ajset-575	602	1	furthermore	furthermore	ADV
ajset-575	602	2	,	,	PUNCT
ajset-575	602	3	the	the	DET
ajset-575	602	4	acceleration	acceleration	NOUN
ajset-575	602	5	and	and	CCONJ
ajset-575	602	6	deceleration	deceleration	NOUN
ajset-575	602	7	along	along	ADP
ajset-575	602	8	trajectories	trajectory	NOUN
ajset-575	602	9	would	would	AUX
ajset-575	602	10	save	save	VERB
ajset-575	602	11	time	time	NOUN
ajset-575	602	12	and	and	CCONJ
ajset-575	602	13	have	have	VERB
ajset-575	602	14	fewer	few	ADJ
ajset-575	602	15	moving	move	VERB
ajset-575	602	16	parts	part	NOUN
ajset-575	602	17	,	,	PUNCT
ajset-575	602	18	making	make	VERB
ajset-575	602	19	space	space	NOUN
ajset-575	602	20	travel	travel	VERB
ajset-575	602	21	more	more	ADV
ajset-575	602	22	comfortable	comfortable	ADJ
ajset-575	602	23	and	and	CCONJ
ajset-575	602	24	safe	safe	ADJ
ajset-575	602	25	.	.	PUNCT
ajset-575	603	1	newton	newton	PROPN
ajset-575	603	2	wondered	wonder	VERB
ajset-575	603	3	why	why	SCONJ
ajset-575	603	4	gravity	gravity	NOUN
ajset-575	603	5	worked	work	VERB
ajset-575	603	6	.	.	PUNCT
ajset-575	604	1	einstein	einstein	PROPN
ajset-575	604	2	explained	explain	VERB
ajset-575	604	3	that	that	SCONJ
ajset-575	604	4	mass	mass	ADJ
ajset-575	604	5	bent	bent	ADJ
ajset-575	604	6	space	space	NOUN
ajset-575	604	7	.	.	PUNCT
ajset-575	605	1	but	but	CCONJ
ajset-575	605	2	again	again	ADV
ajset-575	605	3	,	,	PUNCT
ajset-575	605	4	then	then	ADV
ajset-575	605	5	why	why	SCONJ
ajset-575	605	6	does	do	AUX
ajset-575	605	7	mass	mass	NOUN
ajset-575	605	8	bend	bend	NOUN
ajset-575	605	9	space	space	NOUN
ajset-575	605	10	?	?	PUNCT
ajset-575	606	1	i	i	PRON
ajset-575	606	2	think	think	VERB
ajset-575	606	3	it	it	PRON
ajset-575	606	4	is	be	AUX
ajset-575	606	5	the	the	DET
ajset-575	606	6	rotating	rotate	VERB
ajset-575	606	7	wave	wave	NOUN
ajset-575	606	8	affecting	affect	VERB
ajset-575	606	9	the	the	DET
ajset-575	606	10	permeability	permeability	NOUN
ajset-575	606	11	and	and	CCONJ
ajset-575	606	12	permittivity	permittivity	NOUN
ajset-575	606	13	of	of	ADP
ajset-575	606	14	the	the	DET
ajset-575	606	15	em	em	PROPN
ajset-575	606	16	vacuum	vacuum	NOUN
ajset-575	606	17	field	field	NOUN
ajset-575	606	18	.	.	PUNCT
ajset-575	607	1	what	what	PRON
ajset-575	607	2	binds	bind	VERB
ajset-575	607	3	the	the	DET
ajset-575	607	4	photon	photon	NOUN
ajset-575	607	5	into	into	ADP
ajset-575	607	6	rotation	rotation	NOUN
ajset-575	607	7	in	in	ADP
ajset-575	607	8	the	the	DET
ajset-575	607	9	first	first	ADJ
ajset-575	607	10	place	place	NOUN
ajset-575	607	11	is	be	AUX
ajset-575	607	12	imparted	impart	VERB
ajset-575	607	13	to	to	ADP
ajset-575	607	14	other	other	ADJ
ajset-575	607	15	interacting	interact	VERB
ajset-575	607	16	waves	wave	NOUN
ajset-575	607	17	.	.	PUNCT
ajset-575	608	1	13	13	NUM
ajset-575	608	2	.	.	X
ajset-575	608	3	zitterbewegung	zitterbewegung	NOUN
ajset-575	608	4	(	(	PUNCT
ajset-575	608	5	zbw	zbw	PROPN
ajset-575	608	6	)	)	PUNCT
ajset-575	608	7	as	as	ADP
ajset-575	608	8	evidence	evidence	NOUN
ajset-575	608	9	of	of	ADP
ajset-575	608	10	the	the	DET
ajset-575	608	11	rotating	rotate	VERB
ajset-575	608	12	wave	wave	NOUN
ajset-575	608	13	many	many	ADJ
ajset-575	608	14	people	people	NOUN
ajset-575	608	15	are	be	AUX
ajset-575	608	16	familiar	familiar	ADJ
ajset-575	608	17	with	with	ADP
ajset-575	608	18	david	david	PROPN
ajset-575	608	19	hestene	hestene	PROPN
ajset-575	608	20	’s	’s	PART
ajset-575	608	21	work	work	NOUN
ajset-575	608	22	on	on	ADP
ajset-575	608	23	zitterbewegung	zitterbewegung	PROPN
ajset-575	608	24	as	as	ADV
ajset-575	608	25	well	well	ADV
ajset-575	608	26	as	as	ADP
ajset-575	608	27	geometrical	geometrical	ADJ
ajset-575	608	28	algebra	algebra	NOUN
ajset-575	608	29	and	and	CCONJ
ajset-575	608	30	his	his	PRON
ajset-575	608	31	space	space	NOUN
ajset-575	608	32	time	time	NOUN
ajset-575	608	33	algebra	algebra	PROPN
ajset-575	608	34	(	(	PUNCT
ajset-575	608	35	sta	sta	NOUN
ajset-575	608	36	)	)	PUNCT
ajset-575	608	37	.	.	PUNCT
ajset-575	609	1	i	i	PRON
ajset-575	609	2	came	come	VERB
ajset-575	609	3	across	across	ADP
ajset-575	609	4	his	his	PRON
ajset-575	609	5	article	article	NOUN
ajset-575	609	6	of	of	ADP
ajset-575	609	7	1990	1990	NUM
ajset-575	609	8	[	[	X
ajset-575	609	9	7	7	NUM
ajset-575	609	10	]	]	PUNCT
ajset-575	609	11	and	and	CCONJ
ajset-575	609	12	immediately	immediately	ADV
ajset-575	609	13	noticed	notice	VERB
ajset-575	609	14	a	a	DET
ajset-575	609	15	similarity	similarity	NOUN
ajset-575	609	16	between	between	ADP
ajset-575	609	17	zitter	zitter	NOUN
ajset-575	609	18	and	and	CCONJ
ajset-575	609	19	the	the	DET
ajset-575	609	20	rotating	rotate	VERB
ajset-575	609	21	wave	wave	NOUN
ajset-575	609	22	.	.	PUNCT
ajset-575	610	1	right	right	INTJ
ajset-575	610	2	at	at	ADP
ajset-575	610	3	the	the	DET
ajset-575	610	4	outset	outset	NOUN
ajset-575	610	5	of	of	ADP
ajset-575	610	6	the	the	DET
ajset-575	610	7	abstract	abstract	ADJ
ajset-575	610	8	,	,	PUNCT
ajset-575	610	9	hestenes	hestene	NOUN
ajset-575	610	10	states	state	NOUN
ajset-575	610	11	:	:	PUNCT
ajset-575	610	12	the	the	DET
ajset-575	610	13	zitterbewegung	zitterbewegung	NOUN
ajset-575	610	14	is	be	AUX
ajset-575	610	15	a	a	DET
ajset-575	610	16	local	local	ADJ
ajset-575	610	17	circulatory	circulatory	ADJ
ajset-575	610	18	motion	motion	NOUN
ajset-575	610	19	of	of	ADP
ajset-575	610	20	the	the	DET
ajset-575	610	21	electron	electron	NOUN
ajset-575	610	22	presumed	presume	VERB
ajset-575	610	23	to	to	PART
ajset-575	610	24	be	be	AUX
ajset-575	610	25	the	the	DET
ajset-575	610	26	basis	basis	NOUN
ajset-575	610	27	of	of	ADP
ajset-575	610	28	the	the	DET
ajset-575	610	29	electron	electron	NOUN
ajset-575	610	30	spin	spin	NOUN
ajset-575	610	31	and	and	CCONJ
ajset-575	610	32	magnetic	magnetic	ADJ
ajset-575	610	33	moment	moment	NOUN
ajset-575	610	34	.	.	PUNCT
ajset-575	611	1	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	611	2	academic	academic	ADJ
ajset-575	611	3	journal	journal	NOUN
ajset-575	611	4	of	of	ADP
ajset-575	611	5	science	science	NOUN
ajset-575	611	6	,	,	PUNCT
ajset-575	611	7	engineering	engineering	NOUN
ajset-575	611	8	and	and	CCONJ
ajset-575	611	9	technology	technology	NOUN
ajset-575	611	10	vol.6	vol.6	PROPN
ajset-575	611	11	,	,	PUNCT
ajset-575	611	12	issue	issue	NOUN
ajset-575	611	13	1	1	NUM
ajset-575	611	14	;	;	PUNCT
ajset-575	611	15	january	january	PROPN
ajset-575	611	16	febuary	febuary	PROPN
ajset-575	611	17	2021	2021	NUM
ajset-575	611	18	;	;	PUNCT
ajset-575	611	19	1252	1252	NUM
ajset-575	611	20	columbia	columbia	PROPN
ajset-575	611	21	rd	rd	PROPN
ajset-575	611	22	nw	nw	PROPN
ajset-575	611	23	,	,	PUNCT
ajset-575	611	24	washington	washington	PROPN
ajset-575	611	25	dc	dc	PROPN
ajset-575	611	26	,	,	PUNCT
ajset-575	611	27	united	united	PROPN
ajset-575	611	28	states	states	PROPN
ajset-575	611	29	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	611	30	;	;	PUNCT
ajset-575	611	31	mail	mail	NOUN
ajset-575	611	32	:	:	PUNCT
ajset-575	611	33	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	612	1	77	77	NUM
ajset-575	613	1	|	|	ADV
ajset-575	613	2	a	a	DET
ajset-575	613	3	c	c	NOUN
ajset-575	613	4	a	a	PRON
ajset-575	613	5	d	d	X
ajset-575	613	6	e	e	NOUN
ajset-575	613	7	m	m	NOUN
ajset-575	613	8	i	i	NOUN
ajset-575	613	9	c	c	NOUN
ajset-575	613	10	j	j	NOUN
ajset-575	613	11	o	o	X
ajset-575	613	12	u	u	NOUN
ajset-575	613	13	r	r	NOUN
ajset-575	613	14	n	n	NOUN
ajset-575	613	15	a	a	DET
ajset-575	613	16	l	l	NOUN
ajset-575	614	1	o	o	X
ajset-575	614	2	f	f	X
ajset-575	614	3	s	s	X
ajset-575	614	4	c	c	NOUN
ajset-575	615	1	i	i	NOUN
ajset-575	615	2	e	e	PROPN
ajset-575	615	3	n	n	PROPN
ajset-575	615	4	c	c	NOUN
ajset-575	615	5	e	e	X
ajset-575	615	6	,	,	PUNCT
ajset-575	615	7	e	e	PROPN
ajset-575	615	8	n	n	PRON
ajset-575	615	9	g	g	NOUN
ajset-575	615	10	i	i	PRON
ajset-575	615	11	n	n	VERB
ajset-575	615	12	e	e	NOUN
ajset-575	615	13	e	e	NOUN
ajset-575	615	14	r	r	VERB
ajset-575	615	15	i	i	PRON
ajset-575	615	16	n	n	CCONJ
ajset-575	615	17	g	g	PROPN
ajset-575	615	18	a	a	DET
ajset-575	615	19	n	n	NOUN
ajset-575	615	20	d	d	NOUN
ajset-575	615	21	t	t	NOUN
ajset-575	615	22	e	e	X
ajset-575	615	23	c	c	NOUN
ajset-575	615	24	h	h	NOUN
ajset-575	615	25	n	n	ADV
ajset-575	615	26	o	o	NOUN
ajset-575	615	27	l	l	NOUN
ajset-575	616	1	o	o	X
ajset-575	616	2	g	g	NOUN
ajset-575	616	3	y	y	PROPN
ajset-575	616	4	|	|	ADV
ajset-575	616	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	616	6	hestenes	hestene	NOUN
ajset-575	616	7	notes	note	VERB
ajset-575	616	8	that	that	SCONJ
ajset-575	616	9	the	the	DET
ajset-575	616	10	rest	rest	NOUN
ajset-575	616	11	frame	frame	NOUN
ajset-575	616	12	s	s	PART
ajset-575	616	13	(=	(=	NOUN
ajset-575	616	14	m0c	m0c	NOUN
ajset-575	616	15	2	2	NUM
ajset-575	616	16	where	where	SCONJ
ajset-575	616	17	here	here	ADV
ajset-575	616	18	m0	m0	PROPN
ajset-575	616	19	=	=	PUNCT
ajset-575	616	20	rest	rest	PROPN
ajset-575	616	21	mass	mass	PROPN
ajset-575	616	22	)	)	PUNCT
ajset-575	616	23	energy	energy	NOUN
ajset-575	616	24	has	have	VERB
ajset-575	616	25	a	a	DET
ajset-575	616	26	familiar	familiar	ADJ
ajset-575	616	27	form	form	NOUN
ajset-575	616	28	of	of	ADP
ajset-575	616	29	rotational	rotational	ADJ
ajset-575	616	30	kinetic	kinetic	ADJ
ajset-575	616	31	energy	energy	NOUN
ajset-575	616	32	for	for	ADP
ajset-575	616	33	a	a	DET
ajset-575	616	34	body	body	NOUN
ajset-575	616	35	with	with	ADP
ajset-575	616	36	angular	angular	ADJ
ajset-575	616	37	momentum	momentum	NOUN
ajset-575	616	38	s	s	PART
ajset-575	616	39	and	and	CCONJ
ajset-575	616	40	rotational	rotational	ADJ
ajset-575	616	41	velocity	velocity	NOUN
ajset-575	616	42	.	.	PUNCT
ajset-575	617	1	the	the	DET
ajset-575	617	2	s=	s=	PROPN
ajset-575	617	3	mc2	mc2	PROPN
ajset-575	617	4	suggested	suggest	VERB
ajset-575	617	5	to	to	ADP
ajset-575	617	6	hestenes	hestene	NOUN
ajset-575	617	7	that	that	SCONJ
ajset-575	617	8	the	the	DET
ajset-575	617	9	“	"	PUNCT
ajset-575	617	10	rest	rest	NOUN
ajset-575	617	11	mass	mass	NOUN
ajset-575	617	12	”	"	PUNCT
ajset-575	617	13	of	of	ADP
ajset-575	617	14	the	the	DET
ajset-575	617	15	electron	electron	NOUN
ajset-575	617	16	has	have	VERB
ajset-575	617	17	a	a	DET
ajset-575	617	18	kinetic	kinetic	ADJ
ajset-575	617	19	origin	origin	NOUN
ajset-575	617	20	.	.	PUNCT
ajset-575	618	1	refer	refer	VERB
ajset-575	618	2	to	to	ADP
ajset-575	618	3	previous	previous	ADJ
ajset-575	618	4	section	section	NOUN
ajset-575	618	5	5	5	NUM
ajset-575	618	6	.	.	PUNCT
ajset-575	619	1	a	a	DET
ajset-575	619	2	definition	definition	NOUN
ajset-575	619	3	of	of	ADP
ajset-575	619	4	rest	rest	NOUN
ajset-575	619	5	(	(	PUNCT
ajset-575	619	6	energy	energy	NOUN
ajset-575	619	7	)	)	PUNCT
ajset-575	619	8	mass	mass	NOUN
ajset-575	619	9	.	.	PUNCT
ajset-575	620	1	according	accord	VERB
ajset-575	620	2	to	to	ADP
ajset-575	620	3	the	the	DET
ajset-575	620	4	rotating	rotate	VERB
ajset-575	620	5	wave	wave	NOUN
ajset-575	620	6	,	,	PUNCT
ajset-575	620	7	the	the	DET
ajset-575	620	8	rest	rest	NOUN
ajset-575	620	9	(	(	PUNCT
ajset-575	620	10	energy	energy	NOUN
ajset-575	620	11	)	)	PUNCT
ajset-575	620	12	mass	mass	NOUN
ajset-575	620	13	e0	e0	NOUN
ajset-575	620	14	=	=	SYM
ajset-575	620	15	rotational	rotational	ADJ
ajset-575	620	16	kinematic	kinematic	ADJ
ajset-575	620	17	energy	energy	NOUN
ajset-575	620	18	(	(	PUNCT
ajset-575	620	19	e	e	NOUN
ajset-575	620	20	r	r	NOUN
ajset-575	620	21	=	=	SYM
ajset-575	620	22	1/2	1/2	NUM
ajset-575	620	23	m	m	NOUN
ajset-575	620	24	0c	0c	NOUN
ajset-575	620	25	2	2	NUM
ajset-575	620	26	)	)	PUNCT
ajset-575	620	27	e	e	PROPN
ajset-575	620	28	b	b	PROPN
ajset-575	620	29	(	(	PUNCT
ajset-575	620	30	binding	bind	VERB
ajset-575	620	31	energy	energy	NOUN
ajset-575	620	32	)	)	PUNCT
ajset-575	620	33	=	=	PUNCT
ajset-575	621	1	m0c	m0c	ADJ
ajset-575	621	2	2	2	NUM
ajset-575	621	3	and	and	CCONJ
ajset-575	621	4	thus	thus	ADV
ajset-575	621	5	er	er	INTJ
ajset-575	621	6	=	=	SYM
ajset-575	621	7	eb	eb	PROPN
ajset-575	621	8	.	.	PUNCT
ajset-575	622	1	the	the	DET
ajset-575	622	2	mass	mass	NOUN
ajset-575	622	3	is	be	AUX
ajset-575	622	4	due	due	ADJ
ajset-575	622	5	to	to	ADP
ajset-575	622	6	kinematics	kinematic	NOUN
ajset-575	622	7	of	of	ADP
ajset-575	622	8	a	a	DET
ajset-575	622	9	rotating	rotate	VERB
ajset-575	622	10	wave	wave	NOUN
ajset-575	622	11	brought	bring	VERB
ajset-575	622	12	into	into	ADP
ajset-575	622	13	classical	classical	ADJ
ajset-575	622	14	rotation	rotation	NOUN
ajset-575	622	15	by	by	ADP
ajset-575	622	16	a	a	DET
ajset-575	622	17	binding	bind	VERB
ajset-575	622	18	energy.hestenes	energy.hestenes	PROPN
ajset-575	622	19	states	state	NOUN
ajset-575	622	20	that	that	SCONJ
ajset-575	622	21	“	"	PUNCT
ajset-575	622	22	in	in	ADP
ajset-575	622	23	analyzing	analyze	VERB
ajset-575	622	24	free	free	ADJ
ajset-575	622	25	-	-	PUNCT
ajset-575	622	26	particle	particle	NOUN
ajset-575	622	27	wave	wave	NOUN
ajset-575	622	28	packet	packet	NOUN
ajset-575	622	29	solutions	solution	NOUN
ajset-575	622	30	of	of	ADP
ajset-575	622	31	the	the	DET
ajset-575	622	32	dirac	dirac	NOUN
ajset-575	622	33	wave	wave	NOUN
ajset-575	622	34	equation	equation	NOUN
ajset-575	622	35	,	,	PUNCT
ajset-575	622	36	schrödinger	schrödinger	PROPN
ajset-575	622	37	noted	note	VERB
ajset-575	622	38	the	the	DET
ajset-575	622	39	existence	existence	NOUN
ajset-575	622	40	of	of	ADP
ajset-575	622	41	“	"	PUNCT
ajset-575	622	42	interference	interference	NOUN
ajset-575	622	43	”	"	PUNCT
ajset-575	622	44	between	between	ADP
ajset-575	622	45	positive	positive	ADJ
ajset-575	622	46	and	and	CCONJ
ajset-575	622	47	negative	negative	ADJ
ajset-575	622	48	energy	energy	NOUN
ajset-575	622	49	states	state	NOUN
ajset-575	622	50	oscillating	oscillate	VERB
ajset-575	622	51	with	with	ADP
ajset-575	622	52	circular	circular	ADJ
ajset-575	622	53	frequency	frequency	NOUN
ajset-575	622	54	0=	0=	NOUN
ajset-575	622	55	2m0c	2m0c	NOUN
ajset-575	623	1	2/	2/	NUM
ajset-575	623	2	=	=	SYM
ajset-575	623	3	1.6x1021s	1.6x1021s	NUM
ajset-575	623	4	1	1	NUM
ajset-575	623	5	.	.	PUNCT
ajset-575	624	1	that	that	PRON
ajset-575	624	2	would	would	AUX
ajset-575	624	3	be	be	AUX
ajset-575	624	4	like	like	ADP
ajset-575	624	5	a	a	DET
ajset-575	624	6	wave	wave	NOUN
ajset-575	624	7	rotating	rotate	VERB
ajset-575	624	8	at	at	ADP
ajset-575	624	9	a	a	DET
ajset-575	624	10	billion	billion	NUM
ajset-575	624	11	billion	billion	NUM
ajset-575	624	12	times	time	NOUN
ajset-575	624	13	a	a	DET
ajset-575	624	14	second	second	NOUN
ajset-575	624	15	.	.	PUNCT
ajset-575	625	1	no	no	DET
ajset-575	625	2	wonder	wonder	NOUN
ajset-575	625	3	it	it	PRON
ajset-575	625	4	interacts	interact	VERB
ajset-575	625	5	like	like	ADP
ajset-575	625	6	a	a	DET
ajset-575	625	7	hard	hard	ADJ
ajset-575	625	8	particle	particle	NOUN
ajset-575	625	9	as	as	ADV
ajset-575	625	10	well	well	ADV
ajset-575	625	11	as	as	ADP
ajset-575	625	12	a	a	DET
ajset-575	625	13	wave	wave	NOUN
ajset-575	625	14	.	.	PUNCT
ajset-575	626	1	hestenes	hestene	NOUN
ajset-575	626	2	further	further	PROPN
ajset-575	626	3	states:“but	states:“but	PROPN
ajset-575	626	4	the	the	DET
ajset-575	626	5	greatest	great	ADJ
ajset-575	626	6	challenge	challenge	NOUN
ajset-575	626	7	will	will	AUX
ajset-575	626	8	be	be	AUX
ajset-575	626	9	to	to	PART
ajset-575	626	10	prove	prove	VERB
ajset-575	626	11	that	that	SCONJ
ajset-575	626	12	the	the	DET
ajset-575	626	13	zbw	zbw	NOUN
ajset-575	626	14	is	be	AUX
ajset-575	626	15	a	a	DET
ajset-575	626	16	real	real	ADJ
ajset-575	626	17	physical	physical	ADJ
ajset-575	626	18	phenomena	phenomenon	NOUN
ajset-575	626	19	and	and	CCONJ
ajset-575	626	20	not	not	PART
ajset-575	626	21	just	just	ADV
ajset-575	626	22	a	a	DET
ajset-575	626	23	metaphorical	metaphorical	ADJ
ajset-575	626	24	trick	trick	NOUN
ajset-575	626	25	.	.	PUNCT
ajset-575	626	26	”he	”he	PROPN
ajset-575	627	1	had	have	AUX
ajset-575	627	2	already	already	ADV
ajset-575	627	3	thought	think	VERB
ajset-575	627	4	that	that	SCONJ
ajset-575	627	5	“	"	PUNCT
ajset-575	627	6	barrier	barrier	NOUN
ajset-575	627	7	penetration	penetration	NOUN
ajset-575	627	8	can	can	AUX
ajset-575	627	9	be	be	AUX
ajset-575	627	10	interpreted	interpret	VERB
ajset-575	627	11	as	as	ADP
ajset-575	627	12	manifestations	manifestation	NOUN
ajset-575	627	13	of	of	ADP
ajset-575	627	14	the	the	DET
ajset-575	627	15	zbw	zbw	NOUN
ajset-575	627	16	”	"	PUNCT
ajset-575	627	17	.	.	PUNCT
ajset-575	628	1	apparently	apparently	ADV
ajset-575	628	2	,	,	PUNCT
ajset-575	628	3	louis	louis	PROPN
ajset-575	628	4	de	de	X
ajset-575	628	5	broglie	broglie	NOUN
ajset-575	628	6	in	in	ADP
ajset-575	628	7	his	his	PRON
ajset-575	628	8	1924	1924	NUM
ajset-575	628	9	doctoral	doctoral	ADJ
ajset-575	628	10	thesis	thesis	NOUN
ajset-575	628	11	had	have	AUX
ajset-575	628	12	already	already	ADV
ajset-575	628	13	proposed	propose	VERB
ajset-575	628	14	that	that	SCONJ
ajset-575	628	15	the	the	DET
ajset-575	628	16	electron	electron	NOUN
ajset-575	628	17	has	have	VERB
ajset-575	628	18	an	an	DET
ajset-575	628	19	internal	internal	ADJ
ajset-575	628	20	clock	clock	NOUN
ajset-575	628	21	,	,	PUNCT
ajset-575	628	22	with	with	ADP
ajset-575	628	23	frequency	frequency	NOUN
ajset-575	628	24	at	at	ADP
ajset-575	628	25	about	about	ADP
ajset-575	628	26	a	a	DET
ajset-575	628	27	billion	billion	NUM
ajset-575	628	28	billion	billion	NUM
ajset-575	628	29	times	time	NOUN
ajset-575	628	30	a	a	DET
ajset-575	628	31	second	second	NOUN
ajset-575	628	32	.	.	PUNCT
ajset-575	629	1	while	while	SCONJ
ajset-575	629	2	schrödinger	schrödinger	ADJ
ajset-575	629	3	adopted	adopt	VERB
ajset-575	629	4	de	de	PROPN
ajset-575	629	5	broglie	broglie	PROPN
ajset-575	629	6	’s	’s	PART
ajset-575	629	7	wave	wave	NOUN
ajset-575	629	8	hypothesis	hypothesis	NOUN
ajset-575	629	9	in	in	ADP
ajset-575	629	10	his	his	PRON
ajset-575	629	11	famous	famous	ADJ
ajset-575	629	12	equation	equation	NOUN
ajset-575	629	13	,	,	PUNCT
ajset-575	629	14	de	de	PROPN
ajset-575	629	15	broglie	broglie	PROPN
ajset-575	629	16	’s	’s	PART
ajset-575	629	17	clock	clock	NOUN
ajset-575	629	18	hypothesis	hypothesis	NOUN
ajset-575	629	19	was	be	AUX
ajset-575	629	20	ironically	ironically	ADV
ajset-575	629	21	forgotten	forget	VERB
ajset-575	629	22	.	.	PUNCT
ajset-575	630	1	in	in	ADP
ajset-575	630	2	a	a	DET
ajset-575	630	3	later	later	ADJ
ajset-575	630	4	article	article	NOUN
ajset-575	630	5	hestenes	hestene	NOUN
ajset-575	630	6	reveals	reveal	VERB
ajset-575	630	7	that	that	SCONJ
ajset-575	630	8	he	he	PRON
ajset-575	630	9	met	meet	VERB
ajset-575	630	10	with	with	ADP
ajset-575	630	11	french	french	ADJ
ajset-575	630	12	experimental	experimental	ADJ
ajset-575	630	13	physicist	physicist	NOUN
ajset-575	630	14	michel	michel	PROPN
ajset-575	630	15	gouanere	gouanere	PROPN
ajset-575	630	16	“	"	PUNCT
ajset-575	630	17	who	who	PRON
ajset-575	630	18	argued	argue	VERB
ajset-575	630	19	that	that	SCONJ
ajset-575	630	20	if	if	SCONJ
ajset-575	630	21	the	the	DET
ajset-575	630	22	electron	electron	NOUN
ajset-575	630	23	clock	clock	NOUN
ajset-575	630	24	is	be	AUX
ajset-575	630	25	physically	physically	ADV
ajset-575	630	26	real	real	ADJ
ajset-575	630	27	,	,	PUNCT
ajset-575	630	28	channeled	channel	VERB
ajset-575	630	29	electrons	electron	NOUN
ajset-575	630	30	should	should	AUX
ajset-575	630	31	interact	interact	VERB
ajset-575	630	32	resonantly	resonantly	ADV
ajset-575	630	33	with	with	ADP
ajset-575	630	34	the	the	DET
ajset-575	630	35	crystal	crystal	NOUN
ajset-575	630	36	periodicity	periodicity	NOUN
ajset-575	630	37	at	at	ADP
ajset-575	630	38	some	some	DET
ajset-575	630	39	energy	energy	NOUN
ajset-575	630	40	to	to	PART
ajset-575	630	41	produce	produce	VERB
ajset-575	630	42	a	a	DET
ajset-575	630	43	dip	dip	NOUN
ajset-575	630	44	in	in	ADP
ajset-575	630	45	transmission	transmission	NOUN
ajset-575	630	46	rate	rate	NOUN
ajset-575	630	47	.	.	PUNCT
ajset-575	630	48	”	"	PUNCT
ajset-575	631	1	gouanere	gouanere	PROPN
ajset-575	631	2	and	and	CCONJ
ajset-575	631	3	colleague	colleague	NOUN
ajset-575	631	4	m.	m.	PROPN
ajset-575	631	5	spighel	spighel	PROPN
ajset-575	631	6	had	have	AUX
ajset-575	631	7	already	already	ADV
ajset-575	631	8	conducted	conduct	VERB
ajset-575	631	9	an	an	DET
ajset-575	631	10	electron	electron	NOUN
ajset-575	631	11	channelling	channelling	NOUN
ajset-575	631	12	experiment	experiment	NOUN
ajset-575	631	13	which	which	PRON
ajset-575	631	14	supported	support	VERB
ajset-575	631	15	the	the	DET
ajset-575	631	16	electron	electron	NOUN
ajset-575	631	17	clock	clock	NOUN
ajset-575	631	18	and	and	CCONJ
ajset-575	631	19	was	be	AUX
ajset-575	631	20	published	publish	VERB
ajset-575	631	21	in	in	ADP
ajset-575	631	22	annales	annales	PROPN
ajset-575	631	23	de	de	X
ajset-575	631	24	la	la	X
ajset-575	631	25	fondation	fondation	PROPN
ajset-575	631	26	louis	louis	PROPN
ajset-575	631	27	de	de	PROPN
ajset-575	631	28	broglie	broglie	NOUN
ajset-575	631	29	in	in	ADP
ajset-575	631	30	2005	2005	NUM
ajset-575	631	31	,	,	PUNCT
ajset-575	631	32	but	but	CCONJ
ajset-575	631	33	was	be	AUX
ajset-575	631	34	rejected	reject	VERB
ajset-575	631	35	by	by	ADP
ajset-575	631	36	physical	physical	ADJ
ajset-575	631	37	review	review	NOUN
ajset-575	631	38	letters	letter	NOUN
ajset-575	631	39	and	and	CCONJ
ajset-575	631	40	many	many	ADJ
ajset-575	631	41	said	say	VERB
ajset-575	631	42	it	it	PRON
ajset-575	631	43	was	be	AUX
ajset-575	631	44	implausible	implausible	ADJ
ajset-575	631	45	.	.	PUNCT
ajset-575	632	1	i	i	PRON
ajset-575	632	2	suspect	suspect	VERB
ajset-575	632	3	that	that	DET
ajset-575	632	4	implausibility	implausibility	NOUN
ajset-575	632	5	was	be	AUX
ajset-575	632	6	the	the	DET
ajset-575	632	7	billion	billion	NUM
ajset-575	632	8	billion	billion	NUM
ajset-575	632	9	times	time	NOUN
ajset-575	632	10	a	a	DET
ajset-575	632	11	second	second	NOUN
ajset-575	632	12	.	.	PUNCT
ajset-575	633	1	one	one	NUM
ajset-575	633	2	reviewer	reviewer	NOUN
ajset-575	633	3	said	say	VERB
ajset-575	633	4	perhaps	perhaps	ADV
ajset-575	633	5	it	it	PRON
ajset-575	633	6	could	could	AUX
ajset-575	633	7	be	be	AUX
ajset-575	633	8	explained	explain	VERB
ajset-575	633	9	by	by	ADP
ajset-575	633	10	zitterbewegung	zitterbewegung	PROPN
ajset-575	633	11	,	,	PUNCT
ajset-575	633	12	so	so	ADV
ajset-575	633	13	gouanere	gouanere	PROPN
ajset-575	633	14	got	get	VERB
ajset-575	633	15	in	in	ADP
ajset-575	633	16	touch	touch	NOUN
ajset-575	633	17	with	with	ADP
ajset-575	633	18	david	david	PROPN
ajset-575	633	19	hestenes.as	hestenes.as	PROPN
ajset-575	633	20	noted	note	VERB
ajset-575	633	21	in	in	ADP
ajset-575	633	22	previous	previous	ADJ
ajset-575	633	23	section	section	NOUN
ajset-575	633	24	11	11	NUM
ajset-575	633	25	.	.	PUNCT
ajset-575	634	1	hans	hans	PROPN
ajset-575	634	2	c.	c.	PROPN
ajset-575	634	3	ohanian	ohanian	PROPN
ajset-575	635	1	[	[	X
ajset-575	635	2	1	1	X
ajset-575	635	3	]	]	PUNCT
ajset-575	635	4	noted	note	VERB
ajset-575	635	5	that	that	SCONJ
ajset-575	635	6	goudsmit	goudsmit	NOUN
ajset-575	635	7	and	and	CCONJ
ajset-575	635	8	uhlenbeck	uhlenbeck	NOUN
ajset-575	635	9	in	in	ADP
ajset-575	635	10	1925	1925	NUM
ajset-575	635	11	immediately	immediately	ADV
ajset-575	635	12	realized	realize	VERB
ajset-575	635	13	that	that	SCONJ
ajset-575	635	14	their	their	PRON
ajset-575	635	15	proposed	propose	VERB
ajset-575	635	16	electron	electron	NOUN
ajset-575	635	17	“	"	PUNCT
ajset-575	635	18	spin	spin	NOUN
ajset-575	635	19	”	"	PUNCT
ajset-575	635	20	would	would	AUX
ajset-575	635	21	very	very	ADV
ajset-575	635	22	likely	likely	ADV
ajset-575	635	23	lead	lead	VERB
ajset-575	635	24	to	to	ADP
ajset-575	635	25	serious	serious	ADJ
ajset-575	635	26	problems	problem	NOUN
ajset-575	635	27	with	with	ADP
ajset-575	635	28	special	special	ADJ
ajset-575	635	29	relativity	relativity	NOUN
ajset-575	635	30	,	,	PUNCT
ajset-575	635	31	but	but	CCONJ
ajset-575	635	32	quantum	quantum	NOUN
ajset-575	635	33	mechanics	mechanic	NOUN
ajset-575	635	34	was	be	AUX
ajset-575	635	35	just	just	ADV
ajset-575	635	36	starting	start	VERB
ajset-575	635	37	to	to	PART
ajset-575	635	38	develop	develop	VERB
ajset-575	635	39	and	and	CCONJ
ajset-575	635	40	was	be	AUX
ajset-575	635	41	drawing	draw	VERB
ajset-575	635	42	more	more	ADJ
ajset-575	635	43	attention	attention	NOUN
ajset-575	635	44	at	at	ADP
ajset-575	635	45	the	the	DET
ajset-575	635	46	time	time	NOUN
ajset-575	635	47	.	.	PUNCT
ajset-575	636	1	the	the	DET
ajset-575	636	2	dirac	dirac	NOUN
ajset-575	636	3	matrices	matrix	NOUN
ajset-575	636	4	appeared	appear	VERB
ajset-575	636	5	to	to	PART
ajset-575	636	6	refer	refer	VERB
ajset-575	636	7	to	to	ADP
ajset-575	636	8	some	some	DET
ajset-575	636	9	characteristics	characteristic	NOUN
ajset-575	636	10	of	of	ADP
ajset-575	636	11	the	the	DET
ajset-575	636	12	electron	electron	NOUN
ajset-575	636	13	itself	itself	PRON
ajset-575	636	14	and	and	CCONJ
ajset-575	636	15	thus	thus	ADV
ajset-575	636	16	dirac	dirac	VERB
ajset-575	636	17	commented	comment	VERB
ajset-575	636	18	on	on	ADP
ajset-575	636	19	their	their	PRON
ajset-575	636	20	presence	presence	NOUN
ajset-575	636	21	in	in	ADP
ajset-575	636	22	the	the	DET
ajset-575	636	23	energy	energy	NOUN
ajset-575	636	24	equation	equation	NOUN
ajset-575	636	25	of	of	ADP
ajset-575	636	26	an	an	DET
ajset-575	636	27	electron:“they	electron:“they	PRON
ajset-575	636	28	must	must	AUX
ajset-575	636	29	therefore	therefore	ADV
ajset-575	636	30	denote	denote	VERB
ajset-575	636	31	some	some	DET
ajset-575	636	32	quite	quite	ADV
ajset-575	636	33	new	new	ADJ
ajset-575	636	34	dynamical	dynamical	ADJ
ajset-575	636	35	variables	variable	NOUN
ajset-575	636	36	,	,	PUNCT
ajset-575	636	37	which	which	PRON
ajset-575	636	38	may	may	AUX
ajset-575	636	39	be	be	AUX
ajset-575	636	40	pictured	picture	VERB
ajset-575	636	41	as	as	ADP
ajset-575	636	42	describing	describe	VERB
ajset-575	636	43	some	some	DET
ajset-575	636	44	internal	internal	ADJ
ajset-575	636	45	motion	motion	NOUN
ajset-575	636	46	in	in	ADP
ajset-575	636	47	the	the	DET
ajset-575	636	48	electron	electron	NOUN
ajset-575	636	49	.	.	PUNCT
ajset-575	637	1	we	we	PRON
ajset-575	637	2	shall	shall	AUX
ajset-575	637	3	see	see	VERB
ajset-575	637	4	later	later	ADV
ajset-575	637	5	that	that	SCONJ
ajset-575	637	6	they	they	PRON
ajset-575	637	7	just	just	ADV
ajset-575	637	8	describe	describe	VERB
ajset-575	637	9	the	the	DET
ajset-575	637	10	spin	spin	NOUN
ajset-575	637	11	of	of	ADP
ajset-575	637	12	the	the	DET
ajset-575	637	13	electron	electron	NOUN
ajset-575	637	14	.	.	PUNCT
ajset-575	637	15	”	"	PUNCT
ajset-575	638	1	–	–	PUNCT
ajset-575	638	2	paul	paul	PROPN
ajset-575	638	3	a.m.	a.m.	PROPN
ajset-575	638	4	dirac	dirac	VERB
ajset-575	638	5	the	the	DET
ajset-575	638	6	key	key	NOUN
ajset-575	638	7	to	to	ADP
ajset-575	638	8	the	the	DET
ajset-575	638	9	rotating	rotate	VERB
ajset-575	638	10	wave	wave	NOUN
ajset-575	638	11	and	and	CCONJ
ajset-575	638	12	relativity	relativity	NOUN
ajset-575	638	13	is	be	AUX
ajset-575	638	14	that	that	SCONJ
ajset-575	638	15	:	:	PUNCT
ajset-575	638	16	when	when	SCONJ
ajset-575	638	17	a	a	DET
ajset-575	638	18	light	light	ADJ
ajset-575	638	19	wave	wave	NOUN
ajset-575	638	20	travels	travel	VERB
ajset-575	638	21	in	in	ADP
ajset-575	638	22	a	a	DET
ajset-575	638	23	straight	straight	ADJ
ajset-575	638	24	direction	direction	NOUN
ajset-575	638	25	it	it	PRON
ajset-575	638	26	moves	move	VERB
ajset-575	638	27	at	at	ADP
ajset-575	638	28	the	the	DET
ajset-575	638	29	speed	speed	NOUN
ajset-575	638	30	of	of	ADP
ajset-575	638	31	light	light	NOUN
ajset-575	638	32	,	,	PUNCT
ajset-575	638	33	but	but	CCONJ
ajset-575	638	34	when	when	SCONJ
ajset-575	638	35	it	it	PRON
ajset-575	638	36	rotates	rotate	VERB
ajset-575	638	37	,	,	PUNCT
ajset-575	638	38	it	it	PRON
ajset-575	638	39	travels	travel	VERB
ajset-575	638	40	at	at	ADP
ajset-575	638	41	greater	great	ADJ
ajset-575	638	42	velocity	velocity	NOUN
ajset-575	638	43	at	at	ADP
ajset-575	638	44	further	further	ADJ
ajset-575	638	45	radii	radius	NOUN
ajset-575	638	46	from	from	ADP
ajset-575	638	47	it	it	PRON
ajset-575	638	48	center	center	NOUN
ajset-575	638	49	of	of	ADP
ajset-575	638	50	spin	spin	NOUN
ajset-575	638	51	.	.	PUNCT
ajset-575	639	1	in	in	ADP
ajset-575	639	2	2008	2008	NUM
ajset-575	639	3	michel	michel	PROPN
ajset-575	639	4	gouanere	gouanere	VERB
ajset-575	639	5	along	along	ADP
ajset-575	639	6	with	with	ADP
ajset-575	639	7	denis	denis	PROPN
ajset-575	639	8	dauvergne	dauvergne	PROPN
ajset-575	639	9	,	,	PUNCT
ajset-575	639	10	robert	robert	PROPN
ajset-575	639	11	kirsch	kirsch	PROPN
ajset-575	639	12	,	,	PUNCT
ajset-575	639	13	jeanclaude	jeanclaude	NOUN
ajset-575	639	14	poizat	poizat	NOUN
ajset-575	639	15	,	,	PUNCT
ajset-575	639	16	joseph	joseph	PROPN
ajset-575	639	17	remillieux	remillieux	PROPN
ajset-575	639	18	,	,	PUNCT
ajset-575	639	19	michel	michel	PROPN
ajset-575	639	20	chevallier	chevallier	PROPN
ajset-575	639	21	,	,	PUNCT
ajset-575	639	22	cedric	cedric	PROPN
ajset-575	639	23	ray	ray	PROPN
ajset-575	639	24	,	,	PUNCT
ajset-575	639	25	etienne	etienne	PROPN
ajset-575	639	26	testa	testa	PROPN
ajset-575	639	27	,	,	PUNCT
ajset-575	639	28	robert	robert	PROPN
ajset-575	639	29	chehab	chehab	PROPN
ajset-575	639	30	,	,	PUNCT
ajset-575	639	31	marcel	marcel	PROPN
ajset-575	639	32	bajard	bajard	PROPN
ajset-575	639	33	,	,	PUNCT
ajset-575	639	34	and	and	CCONJ
ajset-575	639	35	philippe	philippe	PROPN
ajset-575	639	36	lautesse	lautesse	PROPN
ajset-575	639	37	proposed	propose	VERB
ajset-575	639	38	ricce	ricce	NOUN
ajset-575	639	39	(	(	PUNCT
ajset-575	639	40	research	research	NOUN
ajset-575	639	41	for	for	ADP
ajset-575	639	42	an	an	DET
ajset-575	639	43	internal	internal	ADJ
ajset-575	639	44	clock	clock	NOUN
ajset-575	639	45	by	by	ADP
ajset-575	639	46	channelling	channelling	NOUN
ajset-575	639	47	of	of	ADP
ajset-575	639	48	electrons	electron	NOUN
ajset-575	639	49	)	)	PUNCT
ajset-575	639	50	,	,	PUNCT
ajset-575	640	1	[	[	X
ajset-575	640	2	8	8	NUM
ajset-575	640	3	]	]	PUNCT
ajset-575	640	4	.	.	PUNCT
ajset-575	641	1	i	i	PRON
ajset-575	641	2	do	do	AUX
ajset-575	641	3	n’t	not	PART
ajset-575	641	4	know	know	VERB
ajset-575	641	5	the	the	DET
ajset-575	641	6	details	detail	NOUN
ajset-575	641	7	nor	nor	CCONJ
ajset-575	641	8	the	the	DET
ajset-575	641	9	outcome	outcome	NOUN
ajset-575	641	10	of	of	ADP
ajset-575	641	11	ricce	ricce	NOUN
ajset-575	641	12	,	,	PUNCT
ajset-575	641	13	but	but	CCONJ
ajset-575	641	14	i	i	PRON
ajset-575	641	15	suspect	suspect	VERB
ajset-575	641	16	that	that	SCONJ
ajset-575	641	17	if	if	SCONJ
ajset-575	641	18	one	one	NUM
ajset-575	641	19	posits	posit	VERB
ajset-575	641	20	relativistic	relativistic	ADJ
ajset-575	641	21	properties	property	NOUN
ajset-575	641	22	purely	purely	ADV
ajset-575	641	23	as	as	ADP
ajset-575	641	24	a	a	DET
ajset-575	641	25	function	function	NOUN
ajset-575	641	26	if	if	SCONJ
ajset-575	641	27	the	the	DET
ajset-575	641	28	rotating	rotate	VERB
ajset-575	641	29	wave	wave	NOUN
ajset-575	641	30	and	and	CCONJ
ajset-575	641	31	not	not	PART
ajset-575	641	32	a	a	DET
ajset-575	641	33	connection	connection	NOUN
ajset-575	641	34	between	between	ADP
ajset-575	641	35	space	space	NOUN
ajset-575	641	36	and	and	CCONJ
ajset-575	641	37	time	time	NOUN
ajset-575	641	38	itself	itself	PRON
ajset-575	641	39	,	,	PUNCT
ajset-575	641	40	alternate	alternate	ADJ
ajset-575	641	41	findings	finding	NOUN
ajset-575	641	42	might	might	AUX
ajset-575	641	43	be	be	AUX
ajset-575	641	44	considered	consider	VERB
ajset-575	641	45	and	and	CCONJ
ajset-575	641	46	observed	observe	VERB
ajset-575	641	47	.	.	PUNCT
ajset-575	642	1	14	14	NUM
ajset-575	642	2	.	.	PUNCT
ajset-575	642	3	stern	stern	PROPN
ajset-575	642	4	gerlach	gerlach	PROPN
ajset-575	642	5	and	and	CCONJ
ajset-575	642	6	720	720	NUM
ajset-575	642	7	degrees	degree	NOUN
ajset-575	642	8	stern	stern	ADJ
ajset-575	642	9	gerlach	gerlach	PROPN
ajset-575	642	10	:	:	PUNCT
ajset-575	642	11	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	642	12	academic	academic	ADJ
ajset-575	642	13	journal	journal	NOUN
ajset-575	642	14	of	of	ADP
ajset-575	642	15	science	science	NOUN
ajset-575	642	16	,	,	PUNCT
ajset-575	642	17	engineering	engineering	NOUN
ajset-575	642	18	and	and	CCONJ
ajset-575	642	19	technology	technology	NOUN
ajset-575	642	20	vol.6	vol.6	PROPN
ajset-575	642	21	,	,	PUNCT
ajset-575	642	22	issue	issue	NOUN
ajset-575	642	23	1	1	NUM
ajset-575	642	24	;	;	PUNCT
ajset-575	642	25	january	january	PROPN
ajset-575	642	26	febuary	febuary	PROPN
ajset-575	642	27	2021	2021	NUM
ajset-575	642	28	;	;	PUNCT
ajset-575	642	29	1252	1252	NUM
ajset-575	642	30	columbia	columbia	PROPN
ajset-575	642	31	rd	rd	PROPN
ajset-575	642	32	nw	nw	PROPN
ajset-575	642	33	,	,	PUNCT
ajset-575	642	34	washington	washington	PROPN
ajset-575	642	35	dc	dc	PROPN
ajset-575	642	36	,	,	PUNCT
ajset-575	642	37	united	united	PROPN
ajset-575	642	38	states	states	PROPN
ajset-575	642	39	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	642	40	;	;	PUNCT
ajset-575	642	41	mail	mail	NOUN
ajset-575	642	42	:	:	PUNCT
ajset-575	642	43	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	643	1	78	78	NUM
ajset-575	644	1	|	|	ADV
ajset-575	644	2	a	a	DET
ajset-575	644	3	c	c	NOUN
ajset-575	644	4	a	a	PRON
ajset-575	644	5	d	d	X
ajset-575	644	6	e	e	NOUN
ajset-575	644	7	m	m	NOUN
ajset-575	644	8	i	i	NOUN
ajset-575	644	9	c	c	NOUN
ajset-575	644	10	j	j	NOUN
ajset-575	644	11	o	o	X
ajset-575	644	12	u	u	NOUN
ajset-575	644	13	r	r	NOUN
ajset-575	644	14	n	n	NOUN
ajset-575	644	15	a	a	DET
ajset-575	644	16	l	l	NOUN
ajset-575	645	1	o	o	X
ajset-575	645	2	f	f	X
ajset-575	645	3	s	s	X
ajset-575	645	4	c	c	NOUN
ajset-575	646	1	i	i	NOUN
ajset-575	646	2	e	e	PROPN
ajset-575	646	3	n	n	PROPN
ajset-575	646	4	c	c	NOUN
ajset-575	646	5	e	e	X
ajset-575	646	6	,	,	PUNCT
ajset-575	646	7	e	e	PROPN
ajset-575	646	8	n	n	PRON
ajset-575	646	9	g	g	NOUN
ajset-575	646	10	i	i	PRON
ajset-575	646	11	n	n	VERB
ajset-575	646	12	e	e	NOUN
ajset-575	646	13	e	e	NOUN
ajset-575	646	14	r	r	VERB
ajset-575	646	15	i	i	PRON
ajset-575	646	16	n	n	CCONJ
ajset-575	646	17	g	g	PROPN
ajset-575	646	18	a	a	DET
ajset-575	646	19	n	n	NOUN
ajset-575	646	20	d	d	NOUN
ajset-575	646	21	t	t	NOUN
ajset-575	646	22	e	e	X
ajset-575	646	23	c	c	NOUN
ajset-575	646	24	h	h	NOUN
ajset-575	646	25	n	n	ADV
ajset-575	646	26	o	o	NOUN
ajset-575	646	27	l	l	NOUN
ajset-575	647	1	o	o	X
ajset-575	647	2	g	g	NOUN
ajset-575	647	3	y	y	PROPN
ajset-575	647	4	|	|	ADV
ajset-575	647	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	647	6	in	in	ADP
ajset-575	647	7	1922	1922	NUM
ajset-575	647	8	otto	otto	PROPN
ajset-575	647	9	stern	stern	PROPN
ajset-575	647	10	and	and	CCONJ
ajset-575	647	11	walter	walter	PROPN
ajset-575	647	12	gerlach	gerlach	PROPN
ajset-575	647	13	performed	perform	VERB
ajset-575	647	14	an	an	DET
ajset-575	647	15	experiment	experiment	NOUN
ajset-575	647	16	which	which	PRON
ajset-575	647	17	involved	involve	VERB
ajset-575	647	18	sending	send	VERB
ajset-575	647	19	a	a	DET
ajset-575	647	20	beam	beam	NOUN
ajset-575	647	21	of	of	ADP
ajset-575	647	22	silver	silver	ADJ
ajset-575	647	23	atoms	atom	NOUN
ajset-575	647	24	through	through	ADP
ajset-575	647	25	an	an	DET
ajset-575	647	26	inhomogeneous	inhomogeneous	ADJ
ajset-575	647	27	(	(	PUNCT
ajset-575	647	28	non	non	ADJ
ajset-575	647	29	-	-	ADJ
ajset-575	647	30	uniform	uniform	ADJ
ajset-575	647	31	)	)	PUNCT
ajset-575	647	32	magnetic	magnetic	ADJ
ajset-575	647	33	field	field	NOUN
ajset-575	647	34	and	and	CCONJ
ajset-575	647	35	onto	onto	ADP
ajset-575	647	36	a	a	DET
ajset-575	647	37	detection	detection	NOUN
ajset-575	647	38	screen	screen	NOUN
ajset-575	647	39	.	.	PUNCT
ajset-575	648	1	the	the	DET
ajset-575	648	2	silver	silver	NOUN
ajset-575	648	3	atoms	atom	NOUN
ajset-575	648	4	were	be	AUX
ajset-575	648	5	each	each	PRON
ajset-575	648	6	considered	consider	VERB
ajset-575	648	7	neutral	neutral	ADJ
ajset-575	648	8	in	in	ADP
ajset-575	648	9	charge	charge	NOUN
ajset-575	648	10	,	,	PUNCT
ajset-575	648	11	but	but	CCONJ
ajset-575	648	12	had	have	VERB
ajset-575	648	13	an	an	DET
ajset-575	648	14	extra	extra	ADJ
ajset-575	648	15	electron	electron	NOUN
ajset-575	648	16	.	.	PUNCT
ajset-575	649	1	classical	classical	ADJ
ajset-575	649	2	spinning	spinning	NOUN
ajset-575	649	3	particles	particle	NOUN
ajset-575	649	4	would	would	AUX
ajset-575	649	5	be	be	AUX
ajset-575	649	6	expected	expect	VERB
ajset-575	649	7	to	to	PART
ajset-575	649	8	just	just	ADV
ajset-575	649	9	show	show	VERB
ajset-575	649	10	up	up	ADP
ajset-575	649	11	on	on	ADP
ajset-575	649	12	the	the	DET
ajset-575	649	13	detection	detection	NOUN
ajset-575	649	14	screen	screen	NOUN
ajset-575	649	15	in	in	ADP
ajset-575	649	16	a	a	DET
ajset-575	649	17	random	random	ADJ
ajset-575	649	18	pattern	pattern	NOUN
ajset-575	649	19	,	,	PUNCT
ajset-575	649	20	but	but	CCONJ
ajset-575	649	21	the	the	DET
ajset-575	649	22	beam	beam	NOUN
ajset-575	649	23	split	split	VERB
ajset-575	649	24	into	into	ADP
ajset-575	649	25	exactly	exactly	ADV
ajset-575	649	26	two	two	NUM
ajset-575	649	27	which	which	PRON
ajset-575	649	28	indicated	indicate	VERB
ajset-575	649	29	that	that	SCONJ
ajset-575	649	30	half	half	NOUN
ajset-575	649	31	of	of	ADP
ajset-575	649	32	the	the	DET
ajset-575	649	33	electrons	electron	NOUN
ajset-575	649	34	had	have	VERB
ajset-575	649	35	an	an	DET
ajset-575	649	36	intrinsic	intrinsic	ADJ
ajset-575	649	37	quantized	quantize	VERB
ajset-575	649	38	angular	angular	ADJ
ajset-575	649	39	moment	moment	NOUN
ajset-575	649	40	of	of	ADP
ajset-575	649	41	/2	/2	PRON
ajset-575	649	42	(	(	PUNCT
ajset-575	649	43	spin	spin	VERB
ajset-575	649	44	up	up	ADP
ajset-575	649	45	)	)	PUNCT
ajset-575	649	46	and	and	CCONJ
ajset-575	649	47	the	the	DET
ajset-575	649	48	other	other	ADJ
ajset-575	649	49	half	half	NOUN
ajset-575	649	50	had	have	AUX
ajset-575	649	51	/2	/2	VERB
ajset-575	649	52	(	(	PUNCT
ajset-575	649	53	spin	spin	VERB
ajset-575	649	54	down).the	down).the	DET
ajset-575	649	55	stern	stern	PROPN
ajset-575	649	56	gerlach	gerlach	PROPN
ajset-575	649	57	quantum	quantum	PROPN
ajset-575	649	58	mystery	mystery	NOUN
ajset-575	649	59	still	still	ADV
ajset-575	649	60	is	be	AUX
ajset-575	649	61	:	:	PUNCT
ajset-575	649	62	why	why	SCONJ
ajset-575	649	63	does	do	AUX
ajset-575	649	64	one	one	NUM
ajset-575	649	65	particle	particle	NOUN
ajset-575	649	66	appear	appear	VERB
ajset-575	649	67	to	to	PART
ajset-575	649	68	have	have	VERB
ajset-575	649	69	a	a	DET
ajset-575	649	70	possible	possible	ADJ
ajset-575	649	71	spin	spin	NOUN
ajset-575	649	72	of	of	ADP
ajset-575	649	73	either	either	CCONJ
ajset-575	649	74	up	up	ADV
ajset-575	649	75	or	or	CCONJ
ajset-575	649	76	down	down	ADV
ajset-575	649	77	and	and	CCONJ
ajset-575	649	78	not	not	PART
ajset-575	649	79	just	just	ADV
ajset-575	649	80	in	in	ADP
ajset-575	649	81	one	one	NUM
ajset-575	649	82	way	way	NOUN
ajset-575	649	83	?	?	PUNCT
ajset-575	650	1	electrons	electron	NOUN
ajset-575	650	2	have	have	VERB
ajset-575	650	3	a	a	DET
ajset-575	650	4	spin	spin	NOUN
ajset-575	650	5	opposite	opposite	ADJ
ajset-575	650	6	to	to	ADP
ajset-575	650	7	that	that	PRON
ajset-575	650	8	of	of	ADP
ajset-575	650	9	positrons	positron	NOUN
ajset-575	650	10	,	,	PUNCT
ajset-575	650	11	but	but	CCONJ
ajset-575	650	12	they	they	PRON
ajset-575	650	13	are	be	AUX
ajset-575	650	14	two	two	NUM
ajset-575	650	15	types	type	NOUN
ajset-575	650	16	of	of	ADP
ajset-575	650	17	particles	particle	NOUN
ajset-575	650	18	which	which	PRON
ajset-575	650	19	cancel	cancel	VERB
ajset-575	650	20	each	each	DET
ajset-575	650	21	other	other	ADJ
ajset-575	650	22	out	out	ADP
ajset-575	650	23	in	in	ADP
ajset-575	650	24	annihilation	annihilation	NOUN
ajset-575	650	25	.	.	PUNCT
ajset-575	651	1	electrons	electron	NOUN
ajset-575	651	2	do	do	AUX
ajset-575	651	3	not	not	PART
ajset-575	651	4	cancel	cancel	VERB
ajset-575	651	5	each	each	DET
ajset-575	651	6	other	other	ADJ
ajset-575	651	7	out	out	ADV
ajset-575	651	8	,	,	PUNCT
ajset-575	651	9	but	but	CCONJ
ajset-575	651	10	appear	appear	VERB
ajset-575	651	11	to	to	PART
ajset-575	651	12	have	have	VERB
ajset-575	651	13	two	two	NUM
ajset-575	651	14	types	type	NOUN
ajset-575	651	15	of	of	ADP
ajset-575	651	16	spin	spin	NOUN
ajset-575	651	17	.	.	PUNCT
ajset-575	652	1	note	note	VERB
ajset-575	652	2	that	that	SCONJ
ajset-575	652	3	the	the	DET
ajset-575	652	4	rotating	rotate	VERB
ajset-575	652	5	wave	wave	NOUN
ajset-575	652	6	model	model	NOUN
ajset-575	652	7	of	of	ADP
ajset-575	652	8	the	the	DET
ajset-575	652	9	electron	electron	NOUN
ajset-575	652	10	has	have	VERB
ajset-575	652	11	a	a	DET
ajset-575	652	12	forward	forward	ADJ
ajset-575	652	13	(	(	PUNCT
ajset-575	652	14	translational	translational	ADJ
ajset-575	652	15	)	)	PUNCT
ajset-575	652	16	motion	motion	NOUN
ajset-575	652	17	in	in	ADP
ajset-575	652	18	line	line	NOUN
ajset-575	652	19	with	with	ADP
ajset-575	652	20	its	its	PRON
ajset-575	652	21	axis	axis	NOUN
ajset-575	652	22	of	of	ADP
ajset-575	652	23	spin	spin	NOUN
ajset-575	652	24	.	.	PUNCT
ajset-575	653	1	thus	thus	ADV
ajset-575	653	2	if	if	SCONJ
ajset-575	653	3	an	an	DET
ajset-575	653	4	electron	electron	NOUN
ajset-575	653	5	orbits	orbit	NOUN
ajset-575	653	6	clockwise	clockwise	VERB
ajset-575	653	7	around	around	ADP
ajset-575	653	8	a	a	DET
ajset-575	653	9	silver	silver	ADJ
ajset-575	653	10	atom	atom	NOUN
ajset-575	653	11	nucleus	nucleus	NOUN
ajset-575	653	12	,	,	PUNCT
ajset-575	653	13	it	it	PRON
ajset-575	653	14	will	will	AUX
ajset-575	653	15	have	have	VERB
ajset-575	653	16	a	a	DET
ajset-575	653	17	specific	specific	ADJ
ajset-575	653	18	direction	direction	NOUN
ajset-575	653	19	and	and	CCONJ
ajset-575	653	20	angular	angular	ADJ
ajset-575	653	21	moment	moment	NOUN
ajset-575	653	22	of	of	ADP
ajset-575	653	23	spin	spin	NOUN
ajset-575	653	24	.	.	PUNCT
ajset-575	654	1	furthermore	furthermore	ADV
ajset-575	654	2	,	,	PUNCT
ajset-575	654	3	the	the	DET
ajset-575	654	4	most	most	ADV
ajset-575	654	5	stable	stable	ADJ
ajset-575	654	6	motion	motion	NOUN
ajset-575	654	7	of	of	ADP
ajset-575	654	8	a	a	DET
ajset-575	654	9	whole	whole	ADJ
ajset-575	654	10	silver	silver	NOUN
ajset-575	654	11	atom	atom	NOUN
ajset-575	654	12	would	would	AUX
ajset-575	654	13	require	require	VERB
ajset-575	654	14	that	that	SCONJ
ajset-575	654	15	the	the	DET
ajset-575	654	16	orbital	orbital	ADJ
ajset-575	654	17	plane	plane	NOUN
ajset-575	654	18	of	of	ADP
ajset-575	654	19	the	the	DET
ajset-575	654	20	extra	extra	ADJ
ajset-575	654	21	electron	electron	NOUN
ajset-575	654	22	be	be	AUX
ajset-575	654	23	in	in	ADP
ajset-575	654	24	line	line	NOUN
ajset-575	654	25	with	with	ADP
ajset-575	654	26	the	the	DET
ajset-575	654	27	trajectory	trajectory	NOUN
ajset-575	654	28	of	of	ADP
ajset-575	654	29	the	the	DET
ajset-575	654	30	atom	atom	NOUN
ajset-575	654	31	towards	towards	ADP
ajset-575	654	32	the	the	DET
ajset-575	654	33	detection	detection	NOUN
ajset-575	654	34	screen	screen	NOUN
ajset-575	654	35	.	.	PUNCT
ajset-575	655	1	however	however	ADV
ajset-575	655	2	,	,	PUNCT
ajset-575	655	3	for	for	ADP
ajset-575	655	4	each	each	DET
ajset-575	655	5	silver	silver	ADJ
ajset-575	655	6	atom	atom	NOUN
ajset-575	655	7	with	with	ADP
ajset-575	655	8	a	a	DET
ajset-575	655	9	clockwise	clockwise	NOUN
ajset-575	655	10	(	(	PUNCT
ajset-575	655	11	or	or	CCONJ
ajset-575	655	12	upside	upside	ADV
ajset-575	655	13	up	up	ADJ
ajset-575	655	14	)	)	PUNCT
ajset-575	655	15	orbit	orbit	NOUN
ajset-575	655	16	there	there	PRON
ajset-575	655	17	is	be	VERB
ajset-575	655	18	an	an	DET
ajset-575	655	19	equally	equally	ADV
ajset-575	655	20	statistical	statistical	ADJ
ajset-575	655	21	chance	chance	NOUN
ajset-575	655	22	of	of	ADP
ajset-575	655	23	having	have	VERB
ajset-575	655	24	a	a	DET
ajset-575	655	25	counterclockwise	counterclockwise	NOUN
ajset-575	655	26	(	(	PUNCT
ajset-575	655	27	or	or	CCONJ
ajset-575	655	28	upside	upside	ADV
ajset-575	655	29	down	down	ADV
ajset-575	655	30	)	)	PUNCT
ajset-575	655	31	orbit	orbit	NOUN
ajset-575	655	32	.	.	PUNCT
ajset-575	656	1	one	one	NUM
ajset-575	656	2	is	be	AUX
ajset-575	656	3	just	just	ADV
ajset-575	656	4	the	the	DET
ajset-575	656	5	mirror	mirror	NOUN
ajset-575	656	6	of	of	ADP
ajset-575	656	7	the	the	DET
ajset-575	656	8	other	other	ADJ
ajset-575	656	9	.	.	PUNCT
ajset-575	657	1	hence	hence	ADV
ajset-575	657	2	,	,	PUNCT
ajset-575	657	3	the	the	DET
ajset-575	657	4	orbit	orbit	NOUN
ajset-575	657	5	-	-	PUNCT
ajset-575	657	6	up	up	ADP
ajset-575	657	7	motion	motion	NOUN
ajset-575	657	8	of	of	ADP
ajset-575	657	9	the	the	DET
ajset-575	657	10	silver	silver	ADJ
ajset-575	657	11	atom	atom	NOUN
ajset-575	657	12	could	could	AUX
ajset-575	657	13	be	be	AUX
ajset-575	657	14	observed	observe	VERB
ajset-575	657	15	and	and	CCONJ
ajset-575	657	16	interpreted	interpret	VERB
ajset-575	657	17	as	as	ADP
ajset-575	657	18	spin	spin	NOUN
ajset-575	657	19	-	-	PUNCT
ajset-575	657	20	up	up	NOUN
ajset-575	657	21	while	while	SCONJ
ajset-575	657	22	the	the	DET
ajset-575	657	23	orbit	orbit	NOUN
ajset-575	657	24	-	-	PUNCT
ajset-575	657	25	down	down	ADP
ajset-575	657	26	motion	motion	NOUN
ajset-575	657	27	could	could	AUX
ajset-575	657	28	be	be	AUX
ajset-575	657	29	observed	observe	VERB
ajset-575	657	30	and	and	CCONJ
ajset-575	657	31	interpreted	interpret	VERB
ajset-575	657	32	as	as	ADP
ajset-575	657	33	spin	spin	NOUN
ajset-575	657	34	-	-	PUNCT
ajset-575	657	35	down	down	NOUN
ajset-575	657	36	.	.	PUNCT
ajset-575	658	1	that	that	PRON
ajset-575	658	2	might	might	AUX
ajset-575	658	3	invite	invite	VERB
ajset-575	658	4	discussion	discussion	NOUN
ajset-575	658	5	and	and	CCONJ
ajset-575	658	6	argument	argument	NOUN
ajset-575	658	7	,	,	PUNCT
ajset-575	658	8	but	but	CCONJ
ajset-575	658	9	it	it	PRON
ajset-575	658	10	is	be	AUX
ajset-575	658	11	one	one	NUM
ajset-575	658	12	possible	possible	ADJ
ajset-575	658	13	way	way	NOUN
ajset-575	658	14	that	that	PRON
ajset-575	658	15	i	i	PRON
ajset-575	658	16	can	can	AUX
ajset-575	658	17	think	think	VERB
ajset-575	658	18	of	of	ADP
ajset-575	658	19	in	in	ADP
ajset-575	658	20	explaining	explain	VERB
ajset-575	658	21	quantized	quantize	VERB
ajset-575	658	22	spatial	spatial	ADJ
ajset-575	658	23	orientation	orientation	NOUN
ajset-575	658	24	of	of	ADP
ajset-575	658	25	spin	spin	NOUN
ajset-575	658	26	with	with	ADP
ajset-575	658	27	the	the	DET
ajset-575	658	28	classically	classically	ADV
ajset-575	658	29	rotating	rotate	VERB
ajset-575	658	30	wave	wave	NOUN
ajset-575	658	31	.	.	PUNCT
ajset-575	659	1	720	720	NUM
ajset-575	659	2	degrees	degree	NOUN
ajset-575	659	3	and	and	CCONJ
ajset-575	659	4	spin	spin	NOUN
ajset-575	659	5	½	½	NOUN
ajset-575	659	6	apparently	apparently	ADV
ajset-575	659	7	a	a	DET
ajset-575	659	8	rotation	rotation	NOUN
ajset-575	659	9	of	of	ADP
ajset-575	659	10	360	360	NUM
ajset-575	659	11	degrees	degree	NOUN
ajset-575	659	12	does	do	AUX
ajset-575	659	13	not	not	PART
ajset-575	659	14	return	return	VERB
ajset-575	659	15	the	the	DET
ajset-575	659	16	electron	electron	NOUN
ajset-575	659	17	to	to	ADP
ajset-575	659	18	its	its	PRON
ajset-575	659	19	original	original	ADJ
ajset-575	659	20	state	state	NOUN
ajset-575	659	21	.	.	PUNCT
ajset-575	660	1	it	it	PRON
ajset-575	660	2	requires	require	VERB
ajset-575	660	3	a	a	DET
ajset-575	660	4	720	720	NUM
ajset-575	660	5	degree	degree	NOUN
ajset-575	660	6	rotation	rotation	NOUN
ajset-575	660	7	to	to	PART
ajset-575	660	8	do	do	VERB
ajset-575	660	9	that	that	PRON
ajset-575	660	10	.	.	PUNCT
ajset-575	661	1	also	also	ADV
ajset-575	661	2	note	note	VERB
ajset-575	661	3	that	that	SCONJ
ajset-575	661	4	this	this	PRON
ajset-575	661	5	is	be	AUX
ajset-575	661	6	true	true	ADJ
ajset-575	661	7	not	not	PART
ajset-575	661	8	just	just	ADV
ajset-575	661	9	for	for	ADP
ajset-575	661	10	electrons	electron	NOUN
ajset-575	661	11	but	but	CCONJ
ajset-575	661	12	any	any	DET
ajset-575	661	13	spin-1/2	spin-1/2	NOUN
ajset-575	661	14	particle	particle	NOUN
ajset-575	661	15	.	.	PUNCT
ajset-575	662	1	now	now	ADV
ajset-575	662	2	note	note	VERB
ajset-575	662	3	that	that	SCONJ
ajset-575	662	4	as	as	ADP
ajset-575	662	5	per	per	ADP
ajset-575	662	6	figure	figure	NOUN
ajset-575	662	7	4	4	NUM
ajset-575	662	8	,	,	PUNCT
ajset-575	662	9	there	there	PRON
ajset-575	662	10	are	be	VERB
ajset-575	662	11	two	two	NUM
ajset-575	662	12	symmetrical	symmetrical	ADJ
ajset-575	662	13	nodes	node	NOUN
ajset-575	662	14	so	so	ADV
ajset-575	662	15	when	when	SCONJ
ajset-575	662	16	the	the	DET
ajset-575	662	17	rotating	rotate	VERB
ajset-575	662	18	wave	wave	NOUN
ajset-575	662	19	is	be	AUX
ajset-575	662	20	spun	spin	VERB
ajset-575	662	21	1/2	1/2	NUM
ajset-575	662	22	,	,	PUNCT
ajset-575	662	23	it	it	PRON
ajset-575	662	24	looks	look	VERB
ajset-575	662	25	the	the	DET
ajset-575	662	26	same	same	ADJ
ajset-575	662	27	as	as	ADP
ajset-575	662	28	the	the	DET
ajset-575	662	29	original	original	NOUN
ajset-575	662	30	.	.	PUNCT
ajset-575	663	1	the	the	DET
ajset-575	663	2	intrinsic	intrinsic	ADJ
ajset-575	663	3	spin	spin	NOUN
ajset-575	663	4	angular	angular	ADJ
ajset-575	663	5	moment	moment	NOUN
ajset-575	663	6	is	be	AUX
ajset-575	663	7	one	one	NUM
ajset-575	663	8	half	half	NOUN
ajset-575	663	9	of	of	ADP
ajset-575	663	10	the	the	DET
ajset-575	663	11	orbital	orbital	ADJ
ajset-575	663	12	moment	moment	NOUN
ajset-575	663	13	,	,	PUNCT
ajset-575	663	14	so	so	ADV
ajset-575	663	15	for	for	ADP
ajset-575	663	16	each	each	DET
ajset-575	663	17	orbit	orbit	NOUN
ajset-575	663	18	the	the	DET
ajset-575	663	19	electron	electron	NOUN
ajset-575	663	20	spins	spin	VERB
ajset-575	663	21	only	only	ADV
ajset-575	663	22	half	half	DET
ajset-575	663	23	the	the	DET
ajset-575	663	24	way	way	NOUN
ajset-575	663	25	around	around	ADV
ajset-575	663	26	.	.	PUNCT
ajset-575	664	1	it	it	PRON
ajset-575	664	2	would	would	AUX
ajset-575	664	3	take	take	VERB
ajset-575	664	4	two	two	NUM
ajset-575	664	5	orbits	orbit	NOUN
ajset-575	664	6	or	or	CCONJ
ajset-575	664	7	720	720	NUM
ajset-575	664	8	degrees	degree	NOUN
ajset-575	664	9	of	of	ADP
ajset-575	664	10	rotation	rotation	NOUN
ajset-575	664	11	to	to	PART
ajset-575	664	12	get	get	VERB
ajset-575	664	13	the	the	DET
ajset-575	664	14	electron	electron	NOUN
ajset-575	664	15	a	a	DET
ajset-575	664	16	full	full	ADJ
ajset-575	664	17	spin	spin	NOUN
ajset-575	664	18	and	and	CCONJ
ajset-575	664	19	back	back	ADV
ajset-575	664	20	to	to	ADP
ajset-575	664	21	the	the	DET
ajset-575	664	22	original	original	ADJ
ajset-575	664	23	state	state	NOUN
ajset-575	664	24	.	.	PUNCT
ajset-575	665	1	i	i	PRON
ajset-575	665	2	also	also	ADV
ajset-575	665	3	note	note	VERB
ajset-575	665	4	that	that	SCONJ
ajset-575	665	5	there	there	PRON
ajset-575	665	6	are	be	VERB
ajset-575	665	7	two	two	NUM
ajset-575	665	8	nodes	node	NOUN
ajset-575	665	9	on	on	ADP
ajset-575	665	10	the	the	DET
ajset-575	665	11	½	½	NOUN
ajset-575	665	12	spin	spin	NOUN
ajset-575	665	13	electron	electron	NOUN
ajset-575	665	14	rw	rw	NOUN
ajset-575	665	15	.	.	PUNCT
ajset-575	666	1	perhaps	perhaps	ADV
ajset-575	666	2	there	there	PRON
ajset-575	666	3	are	be	VERB
ajset-575	666	4	three	three	NUM
ajset-575	666	5	nodes	node	NOUN
ajset-575	666	6	on	on	ADP
ajset-575	666	7	others	other	NOUN
ajset-575	666	8	particles	particle	NOUN
ajset-575	666	9	,	,	PUNCT
ajset-575	666	10	such	such	ADJ
ajset-575	666	11	as	as	ADP
ajset-575	666	12	quarks	quark	NOUN
ajset-575	666	13	with	with	ADP
ajset-575	666	14	-1/3	-1/3	PRON
ajset-575	666	15	and	and	CCONJ
ajset-575	666	16	2/3	2/3	NUM
ajset-575	666	17	charge	charge	NOUN
ajset-575	666	18	.	.	PUNCT
ajset-575	667	1	15	15	NUM
ajset-575	667	2	.	.	PUNCT
ajset-575	667	3	possible	possible	ADJ
ajset-575	667	4	solutions	solution	NOUN
ajset-575	667	5	to	to	ADP
ajset-575	667	6	paradoxes	paradox	NOUN
ajset-575	667	7	of	of	ADP
ajset-575	667	8	modern	modern	ADJ
ajset-575	667	9	physics	physic	NOUN
ajset-575	667	10	the	the	DET
ajset-575	667	11	foregoing	forego	VERB
ajset-575	667	12	concept	concept	NOUN
ajset-575	667	13	of	of	ADP
ajset-575	667	14	the	the	DET
ajset-575	667	15	electron	electron	NOUN
ajset-575	667	16	wavicle	wavicle	NOUN
ajset-575	667	17	might	might	AUX
ajset-575	667	18	resolve	resolve	VERB
ajset-575	667	19	well	well	ADV
ajset-575	667	20	known	know	VERB
ajset-575	667	21	paradoxes	paradox	NOUN
ajset-575	667	22	of	of	ADP
ajset-575	667	23	physics	physics	NOUN
ajset-575	667	24	such	such	ADJ
ajset-575	667	25	as	as	ADP
ajset-575	667	26	the	the	DET
ajset-575	667	27	waveparticle	waveparticle	NOUN
ajset-575	667	28	duality	duality	NOUN
ajset-575	667	29	of	of	ADP
ajset-575	667	30	both	both	CCONJ
ajset-575	667	31	light	light	NOUN
ajset-575	667	32	and	and	CCONJ
ajset-575	667	33	matter	matter	NOUN
ajset-575	667	34	,	,	PUNCT
ajset-575	667	35	the	the	DET
ajset-575	667	36	epr	epr	PROPN
ajset-575	667	37	(	(	PUNCT
ajset-575	667	38	einstein	einstein	PROPN
ajset-575	667	39	,	,	PUNCT
ajset-575	667	40	podolsky	podolsky	NOUN
ajset-575	667	41	and	and	CCONJ
ajset-575	667	42	rosen	rosen	PROPN
ajset-575	667	43	)	)	PUNCT
ajset-575	667	44	paradox	paradox	NOUN
ajset-575	667	45	,	,	PUNCT
ajset-575	667	46	and	and	CCONJ
ajset-575	667	47	the	the	DET
ajset-575	667	48	age	age	NOUN
ajset-575	667	49	-	-	PUNCT
ajset-575	667	50	old	old	ADJ
ajset-575	667	51	zeno	zeno	PROPN
ajset-575	667	52	’s	’s	PART
ajset-575	667	53	paradox	paradox	NOUN
ajset-575	667	54	of	of	ADP
ajset-575	667	55	motion	motion	NOUN
ajset-575	667	56	.	.	PUNCT
ajset-575	668	1	by	by	ADP
ajset-575	668	2	this	this	DET
ajset-575	668	3	concept	concept	NOUN
ajset-575	668	4	one	one	PRON
ajset-575	668	5	would	would	AUX
ajset-575	668	6	expect	expect	VERB
ajset-575	668	7	the	the	DET
ajset-575	668	8	electron	electron	NOUN
ajset-575	668	9	to	to	PART
ajset-575	668	10	be	be	AUX
ajset-575	668	11	affected	affect	VERB
ajset-575	668	12	by	by	ADP
ajset-575	668	13	a	a	DET
ajset-575	668	14	double	double	ADJ
ajset-575	668	15	diffraction	diffraction	NOUN
ajset-575	668	16	slit	slit	NOUN
ajset-575	668	17	in	in	ADP
ajset-575	668	18	just	just	ADV
ajset-575	668	19	the	the	DET
ajset-575	668	20	same	same	ADJ
ajset-575	668	21	way	way	NOUN
ajset-575	668	22	that	that	PRON
ajset-575	668	23	a	a	DET
ajset-575	668	24	photon	photon	NOUN
ajset-575	668	25	would	would	AUX
ajset-575	668	26	,	,	PUNCT
ajset-575	668	27	simply	simply	ADV
ajset-575	668	28	because	because	SCONJ
ajset-575	668	29	the	the	DET
ajset-575	668	30	electron	electron	NOUN
ajset-575	668	31	is	be	AUX
ajset-575	668	32	composed	compose	VERB
ajset-575	668	33	of	of	ADP
ajset-575	668	34	half	half	DET
ajset-575	668	35	a	a	DET
ajset-575	668	36	spinning	spinning	NOUN
ajset-575	668	37	photon	photon	NOUN
ajset-575	668	38	plus	plus	CCONJ
ajset-575	668	39	binding	bind	VERB
ajset-575	668	40	energy	energy	NOUN
ajset-575	668	41	.	.	PUNCT
ajset-575	669	1	similarly	similarly	ADV
ajset-575	669	2	,	,	PUNCT
ajset-575	669	3	the	the	DET
ajset-575	669	4	photo	photo	NOUN
ajset-575	669	5	-	-	PUNCT
ajset-575	669	6	electric	electric	ADJ
ajset-575	669	7	effect	effect	NOUN
ajset-575	669	8	might	might	AUX
ajset-575	669	9	be	be	AUX
ajset-575	669	10	explained	explain	VERB
ajset-575	669	11	by	by	ADP
ajset-575	669	12	the	the	DET
ajset-575	669	13	consequent	consequent	ADJ
ajset-575	669	14	oneon	oneon	NOUN
ajset-575	669	15	-	-	PUNCT
ajset-575	669	16	one	one	NUM
ajset-575	669	17	relationship	relationship	NOUN
ajset-575	669	18	of	of	ADP
ajset-575	669	19	the	the	DET
ajset-575	669	20	photon	photon	NOUN
ajset-575	669	21	and	and	CCONJ
ajset-575	669	22	the	the	DET
ajset-575	669	23	electron	electron	NOUN
ajset-575	669	24	rw	rw	NOUN
ajset-575	669	25	.	.	PUNCT
ajset-575	670	1	in	in	ADP
ajset-575	670	2	1935	1935	NUM
ajset-575	670	3	einstein	einstein	NOUN
ajset-575	670	4	,	,	PUNCT
ajset-575	670	5	podolsky	podolsky	NOUN
ajset-575	670	6	and	and	CCONJ
ajset-575	670	7	rosen	rosen	PROPN
ajset-575	670	8	published	publish	VERB
ajset-575	670	9	a	a	DET
ajset-575	670	10	paper	paper	NOUN
ajset-575	670	11	on	on	ADP
ajset-575	670	12	a	a	DET
ajset-575	670	13	thought	think	VERB
ajset-575	670	14	experiment	experiment	NOUN
ajset-575	670	15	which	which	PRON
ajset-575	670	16	stated	state	VERB
ajset-575	670	17	that	that	SCONJ
ajset-575	670	18	if	if	SCONJ
ajset-575	670	19	the	the	DET
ajset-575	670	20	position	position	NOUN
ajset-575	670	21	and	and	CCONJ
ajset-575	670	22	momentum	momentum	NOUN
ajset-575	670	23	of	of	ADP
ajset-575	670	24	only	only	ADV
ajset-575	670	25	one	one	NUM
ajset-575	670	26	of	of	ADP
ajset-575	670	27	two	two	NUM
ajset-575	670	28	particles	particle	NOUN
ajset-575	670	29	is	be	AUX
ajset-575	670	30	measured	measure	VERB
ajset-575	670	31	after	after	ADP
ajset-575	670	32	an	an	DET
ajset-575	670	33	initial	initial	ADJ
ajset-575	670	34	measure	measure	NOUN
ajset-575	670	35	of	of	ADP
ajset-575	670	36	their	their	PRON
ajset-575	670	37	combined	combine	VERB
ajset-575	670	38	position	position	NOUN
ajset-575	670	39	and	and	CCONJ
ajset-575	670	40	momentum	momentum	NOUN
ajset-575	670	41	,	,	PUNCT
ajset-575	670	42	then	then	ADV
ajset-575	670	43	the	the	DET
ajset-575	670	44	final	final	ADJ
ajset-575	670	45	momentum	momentum	NOUN
ajset-575	670	46	of	of	ADP
ajset-575	670	47	the	the	DET
ajset-575	670	48	two	two	NUM
ajset-575	670	49	particles	particle	NOUN
ajset-575	670	50	can	can	AUX
ajset-575	670	51	not	not	PART
ajset-575	670	52	be	be	AUX
ajset-575	670	53	the	the	DET
ajset-575	670	54	same	same	ADJ
ajset-575	670	55	unless	unless	SCONJ
ajset-575	670	56	there	there	PRON
ajset-575	670	57	is	be	VERB
ajset-575	670	58	some	some	DET
ajset-575	670	59	kind	kind	NOUN
ajset-575	670	60	of	of	ADP
ajset-575	670	61	instantaneous	instantaneous	ADJ
ajset-575	670	62	“	"	PUNCT
ajset-575	670	63	action	action	NOUN
ajset-575	670	64	at	at	ADP
ajset-575	670	65	a	a	DET
ajset-575	670	66	distance	distance	NOUN
ajset-575	670	67	”	"	PUNCT
ajset-575	670	68	or	or	CCONJ
ajset-575	670	69	“	"	PUNCT
ajset-575	670	70	non	non	ADJ
ajset-575	670	71	-	-	ADJ
ajset-575	670	72	local	local	ADJ
ajset-575	670	73	reality	reality	NOUN
ajset-575	670	74	”	"	PUNCT
ajset-575	670	75	between	between	ADP
ajset-575	670	76	the	the	DET
ajset-575	670	77	two	two	NUM
ajset-575	670	78	particles	particle	NOUN
ajset-575	670	79	.	.	PUNCT
ajset-575	671	1	however	however	ADV
ajset-575	671	2	,	,	PUNCT
ajset-575	671	3	modern	modern	ADJ
ajset-575	671	4	experiments	experiment	NOUN
ajset-575	671	5	,	,	PUNCT
ajset-575	671	6	which	which	PRON
ajset-575	671	7	have	have	AUX
ajset-575	671	8	measured	measure	VERB
ajset-575	671	9	the	the	DET
ajset-575	671	10	polarization	polarization	NOUN
ajset-575	671	11	of	of	ADP
ajset-575	671	12	twin	twin	ADJ
ajset-575	671	13	photons	photon	NOUN
ajset-575	671	14	instead	instead	ADV
ajset-575	671	15	of	of	ADP
ajset-575	671	16	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	671	17	academic	academic	ADJ
ajset-575	671	18	journal	journal	NOUN
ajset-575	671	19	of	of	ADP
ajset-575	671	20	science	science	NOUN
ajset-575	671	21	,	,	PUNCT
ajset-575	671	22	engineering	engineering	NOUN
ajset-575	671	23	and	and	CCONJ
ajset-575	671	24	technology	technology	NOUN
ajset-575	671	25	vol.6	vol.6	PROPN
ajset-575	671	26	,	,	PUNCT
ajset-575	671	27	issue	issue	NOUN
ajset-575	671	28	1	1	NUM
ajset-575	671	29	;	;	PUNCT
ajset-575	671	30	january	january	PROPN
ajset-575	671	31	febuary	febuary	PROPN
ajset-575	671	32	2021	2021	NUM
ajset-575	671	33	;	;	PUNCT
ajset-575	671	34	1252	1252	NUM
ajset-575	671	35	columbia	columbia	PROPN
ajset-575	671	36	rd	rd	PROPN
ajset-575	671	37	nw	nw	PROPN
ajset-575	671	38	,	,	PUNCT
ajset-575	671	39	washington	washington	PROPN
ajset-575	671	40	dc	dc	PROPN
ajset-575	671	41	,	,	PUNCT
ajset-575	671	42	united	united	PROPN
ajset-575	671	43	states	states	PROPN
ajset-575	671	44	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	671	45	;	;	PUNCT
ajset-575	671	46	mail	mail	NOUN
ajset-575	671	47	:	:	PUNCT
ajset-575	671	48	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	671	49	79	79	NUM
ajset-575	672	1	|	|	ADV
ajset-575	672	2	a	a	DET
ajset-575	672	3	c	c	NOUN
ajset-575	672	4	a	a	PRON
ajset-575	672	5	d	d	X
ajset-575	672	6	e	e	NOUN
ajset-575	672	7	m	m	NOUN
ajset-575	672	8	i	i	NOUN
ajset-575	672	9	c	c	NOUN
ajset-575	672	10	j	j	NOUN
ajset-575	672	11	o	o	X
ajset-575	672	12	u	u	NOUN
ajset-575	672	13	r	r	NOUN
ajset-575	672	14	n	n	NOUN
ajset-575	672	15	a	a	DET
ajset-575	672	16	l	l	NOUN
ajset-575	673	1	o	o	X
ajset-575	673	2	f	f	X
ajset-575	673	3	s	s	X
ajset-575	673	4	c	c	NOUN
ajset-575	674	1	i	i	NOUN
ajset-575	674	2	e	e	PROPN
ajset-575	674	3	n	n	PROPN
ajset-575	674	4	c	c	NOUN
ajset-575	674	5	e	e	X
ajset-575	674	6	,	,	PUNCT
ajset-575	674	7	e	e	PROPN
ajset-575	674	8	n	n	PRON
ajset-575	674	9	g	g	NOUN
ajset-575	674	10	i	i	PRON
ajset-575	674	11	n	n	VERB
ajset-575	674	12	e	e	NOUN
ajset-575	674	13	e	e	NOUN
ajset-575	674	14	r	r	VERB
ajset-575	674	15	i	i	PRON
ajset-575	674	16	n	n	CCONJ
ajset-575	674	17	g	g	PROPN
ajset-575	674	18	a	a	DET
ajset-575	674	19	n	n	NOUN
ajset-575	674	20	d	d	NOUN
ajset-575	674	21	t	t	NOUN
ajset-575	674	22	e	e	X
ajset-575	674	23	c	c	NOUN
ajset-575	674	24	h	h	NOUN
ajset-575	674	25	n	n	ADV
ajset-575	674	26	o	o	NOUN
ajset-575	674	27	l	l	NOUN
ajset-575	675	1	o	o	X
ajset-575	675	2	g	g	NOUN
ajset-575	675	3	y	y	PROPN
ajset-575	675	4	|	|	ADV
ajset-575	675	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	675	6	position	position	NOUN
ajset-575	675	7	and	and	CCONJ
ajset-575	675	8	momentum	momentum	NOUN
ajset-575	675	9	of	of	ADP
ajset-575	675	10	particles	particle	NOUN
ajset-575	675	11	,	,	PUNCT
ajset-575	675	12	have	have	AUX
ajset-575	675	13	confirmed	confirm	VERB
ajset-575	675	14	the	the	DET
ajset-575	675	15	violation	violation	NOUN
ajset-575	675	16	of	of	ADP
ajset-575	675	17	bell	bell	PROPN
ajset-575	675	18	’s	’s	PART
ajset-575	675	19	inequality	inequality	NOUN
ajset-575	675	20	and	and	CCONJ
ajset-575	675	21	thus	thus	ADV
ajset-575	675	22	support	support	VERB
ajset-575	675	23	the	the	DET
ajset-575	675	24	“	"	PUNCT
ajset-575	675	25	nonlocal	nonlocal	ADJ
ajset-575	675	26	reality	reality	NOUN
ajset-575	675	27	”	"	PUNCT
ajset-575	675	28	of	of	ADP
ajset-575	675	29	neils	neils	PROPN
ajset-575	675	30	bohr	bohr	PROPN
ajset-575	675	31	’s	’s	PART
ajset-575	675	32	quantum	quantum	PROPN
ajset-575	675	33	theory	theory	NOUN
ajset-575	675	34	and	and	CCONJ
ajset-575	675	35	the	the	DET
ajset-575	675	36	epr	epr	PROPN
ajset-575	675	37	paradox	paradox	NOUN
ajset-575	675	38	.	.	PUNCT
ajset-575	676	1	the	the	DET
ajset-575	676	2	apparent	apparent	ADJ
ajset-575	676	3	action	action	NOUN
ajset-575	676	4	at	at	ADP
ajset-575	676	5	a	a	DET
ajset-575	676	6	distance	distance	NOUN
ajset-575	676	7	might	might	AUX
ajset-575	676	8	be	be	AUX
ajset-575	676	9	simply	simply	ADV
ajset-575	676	10	due	due	ADJ
ajset-575	676	11	to	to	ADP
ajset-575	676	12	the	the	DET
ajset-575	676	13	action	action	NOUN
ajset-575	676	14	of	of	ADP
ajset-575	676	15	the	the	DET
ajset-575	676	16	infinitely	infinitely	ADV
ajset-575	676	17	extended	extended	ADJ
ajset-575	676	18	rotating	rotating	NOUN
ajset-575	676	19	wave	wave	NOUN
ajset-575	676	20	of	of	ADP
ajset-575	676	21	the	the	DET
ajset-575	676	22	rw	rw	NOUN
ajset-575	676	23	.	.	PUNCT
ajset-575	677	1	the	the	DET
ajset-575	677	2	apparatus	apparatus	NOUN
ajset-575	677	3	which	which	PRON
ajset-575	677	4	interferes	interfere	VERB
ajset-575	677	5	with	with	ADP
ajset-575	677	6	one	one	NUM
ajset-575	677	7	photon	photon	NOUN
ajset-575	677	8	while	while	SCONJ
ajset-575	677	9	measuring	measure	VERB
ajset-575	677	10	its	its	PRON
ajset-575	677	11	polarization	polarization	NOUN
ajset-575	677	12	would	would	AUX
ajset-575	677	13	,	,	PUNCT
ajset-575	677	14	according	accord	VERB
ajset-575	677	15	to	to	ADP
ajset-575	677	16	the	the	DET
ajset-575	677	17	rw	rw	NOUN
ajset-575	677	18	,	,	PUNCT
ajset-575	677	19	also	also	ADV
ajset-575	677	20	interfere	interfere	VERB
ajset-575	677	21	with	with	ADP
ajset-575	677	22	its	its	PRON
ajset-575	677	23	twin	twin	ADJ
ajset-575	677	24	photon	photon	NOUN
ajset-575	677	25	of	of	ADP
ajset-575	677	26	equal	equal	ADJ
ajset-575	677	27	and	and	CCONJ
ajset-575	677	28	opposite	opposite	ADJ
ajset-575	677	29	momentum	momentum	NOUN
ajset-575	677	30	.	.	PUNCT
ajset-575	678	1	the	the	DET
ajset-575	678	2	twin	twin	ADJ
ajset-575	678	3	photon	photon	NOUN
ajset-575	678	4	,	,	PUNCT
ajset-575	678	5	although	although	SCONJ
ajset-575	678	6	at	at	ADP
ajset-575	678	7	a	a	DET
ajset-575	678	8	greater	great	ADJ
ajset-575	678	9	distance	distance	NOUN
ajset-575	678	10	from	from	ADP
ajset-575	678	11	the	the	DET
ajset-575	678	12	centre	centre	NOUN
ajset-575	678	13	of	of	ADP
ajset-575	678	14	the	the	DET
ajset-575	678	15	interfering	interfere	VERB
ajset-575	678	16	apparatus	apparatus	NOUN
ajset-575	678	17	,	,	PUNCT
ajset-575	678	18	would	would	AUX
ajset-575	678	19	still	still	ADV
ajset-575	678	20	be	be	AUX
ajset-575	678	21	affected	affect	VERB
ajset-575	678	22	by	by	ADP
ajset-575	678	23	the	the	DET
ajset-575	678	24	same	same	ADJ
ajset-575	678	25	electromagnetic	electromagnetic	ADJ
ajset-575	678	26	wave	wave	NOUN
ajset-575	678	27	function	function	NOUN
ajset-575	678	28	of	of	ADP
ajset-575	678	29	that	that	DET
ajset-575	678	30	measuring	measure	VERB
ajset-575	678	31	apparatus	apparatus	NOUN
ajset-575	678	32	.	.	PUNCT
ajset-575	679	1	the	the	DET
ajset-575	679	2	locality	locality	NOUN
ajset-575	679	3	of	of	ADP
ajset-575	679	4	a	a	DET
ajset-575	679	5	particle	particle	NOUN
ajset-575	679	6	might	might	AUX
ajset-575	679	7	be	be	AUX
ajset-575	679	8	thus	thus	ADV
ajset-575	679	9	better	well	ADV
ajset-575	679	10	interpreted	interpret	VERB
ajset-575	679	11	as	as	ADP
ajset-575	679	12	the	the	DET
ajset-575	679	13	centrality	centrality	NOUN
ajset-575	679	14	of	of	ADP
ajset-575	679	15	spin	spin	NOUN
ajset-575	679	16	of	of	ADP
ajset-575	679	17	the	the	DET
ajset-575	679	18	rw	rw	NOUN
ajset-575	679	19	’s	’s	PART
ajset-575	679	20	electromagnetic	electromagnetic	ADJ
ajset-575	679	21	wave	wave	NOUN
ajset-575	679	22	.	.	PUNCT
ajset-575	680	1	zeno	zeno	PROPN
ajset-575	680	2	’s	’s	PART
ajset-575	680	3	paradox	paradox	NOUN
ajset-575	680	4	prescribes	prescribe	VERB
ajset-575	680	5	discrete	discrete	ADJ
ajset-575	680	6	motion	motion	NOUN
ajset-575	680	7	of	of	ADP
ajset-575	680	8	particles	particle	NOUN
ajset-575	680	9	.	.	PUNCT
ajset-575	681	1	however	however	ADV
ajset-575	681	2	,	,	PUNCT
ajset-575	681	3	the	the	DET
ajset-575	681	4	electron	electron	NOUN
ajset-575	681	5	rw	rw	NOUN
ajset-575	681	6	is	be	AUX
ajset-575	681	7	transmitted	transmit	VERB
ajset-575	681	8	through	through	ADP
ajset-575	681	9	the	the	DET
ajset-575	681	10	em	em	PROPN
ajset-575	681	11	vacuum	vacuum	NOUN
ajset-575	681	12	field	field	NOUN
ajset-575	681	13	as	as	ADP
ajset-575	681	14	a	a	DET
ajset-575	681	15	wave	wave	NOUN
ajset-575	681	16	.	.	PUNCT
ajset-575	682	1	the	the	DET
ajset-575	682	2	em	em	PROPN
ajset-575	682	3	vacuum	vacuum	NOUN
ajset-575	682	4	field	field	NOUN
ajset-575	682	5	might	might	AUX
ajset-575	682	6	also	also	ADV
ajset-575	682	7	be	be	AUX
ajset-575	682	8	predicated	predicate	VERB
ajset-575	682	9	upon	upon	SCONJ
ajset-575	682	10	a	a	DET
ajset-575	682	11	substrata	substrata	ADJ
ajset-575	682	12	energy	energy	NOUN
ajset-575	682	13	fieldof	fieldof	NOUN
ajset-575	682	14	wave	wave	NOUN
ajset-575	682	15	functions	function	NOUN
ajset-575	682	16	and	and	CCONJ
ajset-575	682	17	perhaps	perhaps	ADV
ajset-575	682	18	enable	enable	VERB
ajset-575	682	19	the	the	DET
ajset-575	682	20	creation	creation	NOUN
ajset-575	682	21	and	and	CCONJ
ajset-575	682	22	transmission	transmission	NOUN
ajset-575	682	23	of	of	ADP
ajset-575	682	24	electromagnetic	electromagnetic	ADJ
ajset-575	682	25	waves	wave	NOUN
ajset-575	682	26	and	and	CCONJ
ajset-575	682	27	move	move	VERB
ajset-575	682	28	themselves	themselves	PRON
ajset-575	682	29	very	very	ADV
ajset-575	682	30	likely	likely	ADJ
ajset-575	682	31	with	with	ADP
ajset-575	682	32	speeds	speed	NOUN
ajset-575	682	33	much	much	ADV
ajset-575	682	34	greater	great	ADJ
ajset-575	682	35	than	than	ADP
ajset-575	682	36	that	that	PRON
ajset-575	682	37	of	of	ADP
ajset-575	682	38	light	light	NOUN
ajset-575	682	39	.	.	PUNCT
ajset-575	683	1	given	give	VERB
ajset-575	683	2	an	an	DET
ajset-575	683	3	infinite	infinite	ADJ
ajset-575	683	4	amount	amount	NOUN
ajset-575	683	5	of	of	ADP
ajset-575	683	6	real	real	ADJ
ajset-575	683	7	time	time	NOUN
ajset-575	683	8	and	and	CCONJ
ajset-575	683	9	space	space	NOUN
ajset-575	683	10	,	,	PUNCT
ajset-575	683	11	an	an	DET
ajset-575	683	12	infinite	infinite	ADJ
ajset-575	683	13	number	number	NOUN
ajset-575	683	14	of	of	ADP
ajset-575	683	15	energy	energy	NOUN
ajset-575	683	16	strata	strata	NOUN
ajset-575	683	17	could	could	AUX
ajset-575	683	18	have	have	AUX
ajset-575	683	19	evolved	evolve	VERB
ajset-575	683	20	into	into	ADP
ajset-575	683	21	something	something	PRON
ajset-575	683	22	as	as	ADV
ajset-575	683	23	substantial	substantial	ADJ
ajset-575	683	24	as	as	ADP
ajset-575	683	25	light	light	NOUN
ajset-575	683	26	and	and	CCONJ
ajset-575	683	27	thus	thus	ADV
ajset-575	683	28	the	the	DET
ajset-575	683	29	existence	existence	NOUN
ajset-575	683	30	and	and	CCONJ
ajset-575	683	31	motion	motion	NOUN
ajset-575	683	32	of	of	ADP
ajset-575	683	33	matter	matter	NOUN
ajset-575	683	34	.	.	PUNCT
ajset-575	684	1	16	16	NUM
ajset-575	684	2	.	.	PUNCT
ajset-575	685	1	conclusion	conclusion	VERB
ajset-575	685	2	the	the	DET
ajset-575	685	3	rotating	rotate	VERB
ajset-575	685	4	wave	wave	NOUN
ajset-575	685	5	(	(	PUNCT
ajset-575	685	6	rw	rw	NOUN
ajset-575	685	7	)	)	PUNCT
ajset-575	685	8	model	model	NOUN
ajset-575	685	9	of	of	ADP
ajset-575	685	10	the	the	DET
ajset-575	685	11	electron	electron	NOUN
ajset-575	685	12	provides	provide	VERB
ajset-575	685	13	an	an	DET
ajset-575	685	14	elegant	elegant	ADJ
ajset-575	685	15	and	and	CCONJ
ajset-575	685	16	simple	simple	ADJ
ajset-575	685	17	solution	solution	NOUN
ajset-575	685	18	for	for	ADP
ajset-575	685	19	wave	wave	NOUN
ajset-575	685	20	function	function	NOUN
ajset-575	685	21	of	of	ADP
ajset-575	685	22	matter	matter	NOUN
ajset-575	685	23	and	and	CCONJ
ajset-575	685	24	in	in	ADP
ajset-575	685	25	doing	do	VERB
ajset-575	685	26	so	so	ADV
ajset-575	685	27	,	,	PUNCT
ajset-575	685	28	it	it	PRON
ajset-575	685	29	explains	explain	VERB
ajset-575	685	30	the	the	DET
ajset-575	685	31	apparent	apparent	ADJ
ajset-575	685	32	relativistic	relativistic	ADJ
ajset-575	685	33	connection	connection	NOUN
ajset-575	685	34	between	between	ADP
ajset-575	685	35	space	space	NOUN
ajset-575	685	36	and	and	CCONJ
ajset-575	685	37	time	time	NOUN
ajset-575	685	38	.	.	PUNCT
ajset-575	686	1	a	a	DET
ajset-575	686	2	number	number	NOUN
ajset-575	686	3	of	of	ADP
ajset-575	686	4	physicists	physicist	NOUN
ajset-575	686	5	have	have	AUX
ajset-575	686	6	considered	consider	VERB
ajset-575	686	7	the	the	DET
ajset-575	686	8	“	"	PUNCT
ajset-575	686	9	circular	circular	ADJ
ajset-575	686	10	motion	motion	NOUN
ajset-575	686	11	”	"	PUNCT
ajset-575	686	12	within	within	ADP
ajset-575	686	13	the	the	DET
ajset-575	686	14	electron	electron	NOUN
ajset-575	686	15	,	,	PUNCT
ajset-575	686	16	but	but	CCONJ
ajset-575	686	17	tried	try	VERB
ajset-575	686	18	to	to	PART
ajset-575	686	19	maintain	maintain	VERB
ajset-575	686	20	the	the	DET
ajset-575	686	21	direct	direct	ADJ
ajset-575	686	22	connection	connection	NOUN
ajset-575	686	23	between	between	ADP
ajset-575	686	24	space	space	NOUN
ajset-575	686	25	and	and	CCONJ
ajset-575	686	26	time	time	NOUN
ajset-575	686	27	.	.	PUNCT
ajset-575	687	1	an	an	DET
ajset-575	687	2	in	in	ADP
ajset-575	687	3	depth	depth	NOUN
ajset-575	687	4	study	study	NOUN
ajset-575	687	5	of	of	ADP
ajset-575	687	6	louis	louis	PROPN
ajset-575	687	7	de	de	PROPN
ajset-575	687	8	broglie	broglie	PROPN
ajset-575	687	9	’s	’s	PART
ajset-575	687	10	thesis	thesis	NOUN
ajset-575	687	11	would	would	AUX
ajset-575	687	12	be	be	AUX
ajset-575	687	13	interesting	interesting	ADJ
ajset-575	687	14	because	because	SCONJ
ajset-575	687	15	he	he	PRON
ajset-575	687	16	studied	study	VERB
ajset-575	687	17	relativity	relativity	NOUN
ajset-575	687	18	,	,	PUNCT
ajset-575	687	19	was	be	AUX
ajset-575	687	20	the	the	DET
ajset-575	687	21	first	first	ADJ
ajset-575	687	22	to	to	PART
ajset-575	687	23	consider	consider	VERB
ajset-575	687	24	matter	matter	NOUN
ajset-575	687	25	as	as	ADP
ajset-575	687	26	a	a	DET
ajset-575	687	27	wave	wave	NOUN
ajset-575	687	28	form	form	NOUN
ajset-575	687	29	,	,	PUNCT
ajset-575	687	30	and	and	CCONJ
ajset-575	687	31	apparently	apparently	ADV
ajset-575	687	32	also	also	ADV
ajset-575	687	33	considered	consider	VERB
ajset-575	687	34	there	there	PRON
ajset-575	687	35	might	might	AUX
ajset-575	687	36	be	be	AUX
ajset-575	687	37	circular	circular	ADJ
ajset-575	687	38	form	form	NOUN
ajset-575	687	39	of	of	ADP
ajset-575	687	40	motion	motion	NOUN
ajset-575	687	41	in	in	ADP
ajset-575	687	42	the	the	DET
ajset-575	687	43	electron	electron	NOUN
ajset-575	687	44	.	.	PUNCT
ajset-575	688	1	basically	basically	ADV
ajset-575	688	2	,	,	PUNCT
ajset-575	688	3	the	the	DET
ajset-575	688	4	rw	rw	NOUN
ajset-575	688	5	agrees	agree	VERB
ajset-575	688	6	with	with	ADP
ajset-575	688	7	the	the	DET
ajset-575	688	8	assumption	assumption	NOUN
ajset-575	688	9	that	that	SCONJ
ajset-575	688	10	the	the	DET
ajset-575	688	11	speed	speed	NOUN
ajset-575	688	12	of	of	ADP
ajset-575	688	13	light	light	NOUN
ajset-575	688	14	is	be	AUX
ajset-575	688	15	independent	independent	ADJ
ajset-575	688	16	of	of	ADP
ajset-575	688	17	it	it	PRON
ajset-575	688	18	’s	’	VERB
ajset-575	688	19	source	source	NOUN
ajset-575	688	20	and	and	CCONJ
ajset-575	688	21	is	be	AUX
ajset-575	688	22	constant	constant	ADJ
ajset-575	688	23	at	at	ADP
ajset-575	688	24	speed	speed	NOUN
ajset-575	688	25	=	=	SYM
ajset-575	688	26	c	c	NOUN
ajset-575	688	27	in	in	ADP
ajset-575	688	28	a	a	DET
ajset-575	688	29	straight	straight	ADJ
ajset-575	688	30	direction	direction	NOUN
ajset-575	688	31	.	.	PUNCT
ajset-575	689	1	however	however	ADV
ajset-575	689	2	,	,	PUNCT
ajset-575	689	3	the	the	DET
ajset-575	689	4	rw	rw	NOUN
ajset-575	689	5	also	also	ADV
ajset-575	689	6	requires	require	VERB
ajset-575	689	7	that	that	SCONJ
ajset-575	689	8	the	the	DET
ajset-575	689	9	bending	bending	NOUN
ajset-575	689	10	of	of	ADP
ajset-575	689	11	light	light	NOUN
ajset-575	689	12	allows	allow	VERB
ajset-575	689	13	for	for	ADP
ajset-575	689	14	speeds	speed	NOUN
ajset-575	689	15	greater	great	ADJ
ajset-575	689	16	than	than	ADP
ajset-575	689	17	c	c	NOUN
ajset-575	689	18	at	at	ADP
ajset-575	689	19	greater	great	ADJ
ajset-575	689	20	radii	radius	NOUN
ajset-575	689	21	.	.	PUNCT
ajset-575	690	1	given	give	VERB
ajset-575	690	2	that	that	SCONJ
ajset-575	690	3	,	,	PUNCT
ajset-575	690	4	everything	everything	PRON
ajset-575	690	5	seems	seem	VERB
ajset-575	690	6	to	to	PART
ajset-575	690	7	naturally	naturally	ADV
ajset-575	690	8	derive	derive	VERB
ajset-575	690	9	from	from	ADP
ajset-575	690	10	a	a	DET
ajset-575	690	11	classical	classical	ADJ
ajset-575	690	12	rotation	rotation	NOUN
ajset-575	690	13	of	of	ADP
ajset-575	690	14	“	"	PUNCT
ajset-575	690	15	spin	spin	VERB
ajset-575	690	16	”	"	PUNCT
ajset-575	690	17	:	:	PUNCT
ajset-575	690	18	mass	mass	ADJ
ajset-575	690	19	,	,	PUNCT
ajset-575	690	20	charge	charge	NOUN
ajset-575	690	21	,	,	PUNCT
ajset-575	690	22	magnetic	magnetic	ADJ
ajset-575	690	23	dipole	dipole	NOUN
ajset-575	690	24	,	,	PUNCT
ajset-575	690	25	relativity	relativity	NOUN
ajset-575	690	26	,	,	PUNCT
ajset-575	690	27	quantum	quantum	NOUN
ajset-575	690	28	mechanics	mechanic	NOUN
ajset-575	690	29	,	,	PUNCT
ajset-575	690	30	and	and	CCONJ
ajset-575	690	31	a	a	DET
ajset-575	690	32	number	number	NOUN
ajset-575	690	33	of	of	ADP
ajset-575	690	34	paradoxes	paradox	NOUN
ajset-575	690	35	.	.	PUNCT
ajset-575	691	1	relativity	relativity	NOUN
ajset-575	691	2	and	and	CCONJ
ajset-575	691	3	quantum	quantum	NOUN
ajset-575	691	4	mechanics	mechanic	NOUN
ajset-575	691	5	are	be	AUX
ajset-575	691	6	thus	thus	ADV
ajset-575	691	7	inseparably	inseparably	ADV
ajset-575	691	8	innate	innate	ADJ
ajset-575	691	9	to	to	ADP
ajset-575	691	10	the	the	DET
ajset-575	691	11	real	real	ADJ
ajset-575	691	12	wave	wave	NOUN
ajset-575	691	13	equation	equation	NOUN
ajset-575	691	14	of	of	ADP
ajset-575	691	15	the	the	DET
ajset-575	691	16	rw	rw	NOUN
ajset-575	691	17	.	.	PUNCT
ajset-575	692	1	furthermore	furthermore	ADV
ajset-575	692	2	,	,	PUNCT
ajset-575	692	3	rotation	rotation	NOUN
ajset-575	692	4	of	of	ADP
ajset-575	692	5	the	the	DET
ajset-575	692	6	wave	wave	NOUN
ajset-575	692	7	clearly	clearly	ADV
ajset-575	692	8	explains	explain	VERB
ajset-575	692	9	how	how	SCONJ
ajset-575	692	10	a	a	DET
ajset-575	692	11	magnetic	magnetic	ADJ
ajset-575	692	12	dipole	dipole	NOUN
ajset-575	692	13	field	field	NOUN
ajset-575	692	14	is	be	AUX
ajset-575	692	15	self	self	NOUN
ajset-575	692	16	-	-	PUNCT
ajset-575	692	17	induced	induce	VERB
ajset-575	692	18	and	and	CCONJ
ajset-575	692	19	thus	thus	ADV
ajset-575	692	20	how	how	SCONJ
ajset-575	692	21	a	a	DET
ajset-575	692	22	magnetic	magnetic	ADJ
ajset-575	692	23	field	field	NOUN
ajset-575	692	24	is	be	AUX
ajset-575	692	25	induced	induce	VERB
ajset-575	692	26	by	by	ADP
ajset-575	692	27	the	the	DET
ajset-575	692	28	motion	motion	NOUN
ajset-575	692	29	of	of	ADP
ajset-575	692	30	a	a	DET
ajset-575	692	31	charged	charge	VERB
ajset-575	692	32	particle.the	particle.the	PUNCT
ajset-575	692	33	rw	rw	NOUN
ajset-575	692	34	form	form	NOUN
ajset-575	692	35	also	also	ADV
ajset-575	692	36	allows	allow	VERB
ajset-575	692	37	one	one	NUM
ajset-575	692	38	to	to	PART
ajset-575	692	39	derive	derive	VERB
ajset-575	692	40	the	the	DET
ajset-575	692	41	g	g	PROPN
ajset-575	692	42	k	k	PROPN
ajset-575	692	43	intrinsic	intrinsic	ADJ
ajset-575	692	44	curvature	curvature	NOUN
ajset-575	692	45	in	in	ADP
ajset-575	692	46	detail	detail	NOUN
ajset-575	692	47	and	and	CCONJ
ajset-575	692	48	is	be	AUX
ajset-575	692	49	congruent	congruent	ADJ
ajset-575	692	50	with	with	ADP
ajset-575	692	51	the	the	DET
ajset-575	692	52	mass	mass	PROPN
ajset-575	692	53	energy	energy	NOUN
ajset-575	692	54	density	density	NOUN
ajset-575	692	55	tensor	tensor	NOUN
ajset-575	692	56	.	.	PUNCT
ajset-575	693	1	that	that	PRON
ajset-575	693	2	is	be	AUX
ajset-575	693	3	perhaps	perhaps	ADV
ajset-575	693	4	not	not	PART
ajset-575	693	5	surprising	surprising	ADJ
ajset-575	693	6	because	because	SCONJ
ajset-575	693	7	after	after	ADV
ajset-575	693	8	all	all	ADV
ajset-575	693	9	,	,	PUNCT
ajset-575	693	10	the	the	DET
ajset-575	693	11	mass	mass	ADJ
ajset-575	693	12	energy	energy	NOUN
ajset-575	693	13	density	density	NOUN
ajset-575	693	14	tensor	tensor	NOUN
ajset-575	693	15	is	be	AUX
ajset-575	693	16	itself	itself	PRON
ajset-575	693	17	indirectly	indirectly	ADV
ajset-575	693	18	derived	derive	VERB
ajset-575	693	19	from	from	ADP
ajset-575	693	20	rotating	rotate	VERB
ajset-575	693	21	wave	wave	NOUN
ajset-575	693	22	forms	form	NOUN
ajset-575	693	23	of	of	ADP
ajset-575	693	24	mass	mass	NOUN
ajset-575	693	25	.	.	PUNCT
ajset-575	694	1	one	one	NUM
ajset-575	694	2	thing	thing	NOUN
ajset-575	694	3	the	the	DET
ajset-575	694	4	detailed	detailed	ADJ
ajset-575	694	5	g	g	PROPN
ajset-575	694	6	k	k	PROPN
ajset-575	694	7	of	of	ADP
ajset-575	694	8	the	the	DET
ajset-575	694	9	rw	rw	NOUN
ajset-575	694	10	does	do	AUX
ajset-575	694	11	in	in	ADP
ajset-575	694	12	addition	addition	NOUN
ajset-575	694	13	is	be	AUX
ajset-575	694	14	to	to	PART
ajset-575	694	15	inherently	inherently	ADV
ajset-575	694	16	explain	explain	VERB
ajset-575	694	17	the	the	DET
ajset-575	694	18	expansion	expansion	NOUN
ajset-575	694	19	of	of	ADP
ajset-575	694	20	the	the	DET
ajset-575	694	21	universe	universe	NOUN
ajset-575	694	22	.	.	PUNCT
ajset-575	695	1	without	without	ADP
ajset-575	695	2	expansion	expansion	NOUN
ajset-575	695	3	there	there	PRON
ajset-575	695	4	is	be	VERB
ajset-575	695	5	no	no	DET
ajset-575	695	6	curvature	curvature	NOUN
ajset-575	695	7	.	.	PUNCT
ajset-575	696	1	any	any	DET
ajset-575	696	2	energy	energy	NOUN
ajset-575	696	3	expended	expend	VERB
ajset-575	696	4	by	by	ADP
ajset-575	696	5	the	the	DET
ajset-575	696	6	rw	rw	NOUN
ajset-575	696	7	in	in	ADP
ajset-575	696	8	its	its	PRON
ajset-575	696	9	coupling	coupling	NOUN
ajset-575	696	10	with	with	ADP
ajset-575	696	11	other	other	ADJ
ajset-575	696	12	particles	particle	NOUN
ajset-575	696	13	or	or	CCONJ
ajset-575	696	14	waves	wave	NOUN
ajset-575	696	15	would	would	AUX
ajset-575	696	16	,	,	PUNCT
ajset-575	696	17	by	by	ADP
ajset-575	696	18	its	its	PRON
ajset-575	696	19	definition	definition	NOUN
ajset-575	696	20	of	of	ADP
ajset-575	696	21	mass	mass	PROPN
ajset-575	696	22	,	,	PUNCT
ajset-575	696	23	require	require	VERB
ajset-575	696	24	its	its	PRON
ajset-575	696	25	gravitational	gravitational	ADJ
ajset-575	696	26	field	field	NOUN
ajset-575	696	27	to	to	PART
ajset-575	696	28	decrease	decrease	VERB
ajset-575	696	29	as	as	SCONJ
ajset-575	696	30	the	the	DET
ajset-575	696	31	rw	rw	NOUN
ajset-575	696	32	’s	’s	PART
ajset-575	696	33	time	time	NOUN
ajset-575	696	34	cycle	cycle	NOUN
ajset-575	696	35	of	of	ADP
ajset-575	696	36	spin	spin	NOUN
ajset-575	696	37	slows	slow	VERB
ajset-575	696	38	down	down	ADP
ajset-575	696	39	.	.	PUNCT
ajset-575	697	1	the	the	DET
ajset-575	697	2	rw	rw	NOUN
ajset-575	697	3	’s	’s	PART
ajset-575	697	4	inherent	inherent	ADJ
ajset-575	697	5	connection	connection	NOUN
ajset-575	697	6	between	between	ADP
ajset-575	697	7	gravity	gravity	NOUN
ajset-575	697	8	,	,	PUNCT
ajset-575	697	9	spin	spin	NOUN
ajset-575	697	10	and	and	CCONJ
ajset-575	697	11	time	time	NOUN
ajset-575	697	12	thus	thus	ADV
ajset-575	697	13	provides	provide	VERB
ajset-575	697	14	an	an	DET
ajset-575	697	15	elegant	elegant	ADJ
ajset-575	697	16	explanation	explanation	NOUN
ajset-575	697	17	to	to	ADP
ajset-575	697	18	the	the	DET
ajset-575	697	19	expansion	expansion	NOUN
ajset-575	697	20	of	of	ADP
ajset-575	697	21	the	the	DET
ajset-575	697	22	universe.the	universe.the	DET
ajset-575	697	23	rw	rw	NOUN
ajset-575	697	24	model	model	NOUN
ajset-575	697	25	does	do	AUX
ajset-575	697	26	yield	yield	VERB
ajset-575	697	27	additional	additional	ADJ
ajset-575	697	28	insights	insight	NOUN
ajset-575	697	29	which	which	PRON
ajset-575	697	30	might	might	AUX
ajset-575	697	31	stimulate	stimulate	VERB
ajset-575	697	32	unification	unification	NOUN
ajset-575	697	33	theory	theory	NOUN
ajset-575	697	34	as	as	ADV
ajset-575	697	35	well	well	ADV
ajset-575	697	36	as	as	ADP
ajset-575	697	37	provide	provide	VERB
ajset-575	697	38	alternate	alternate	ADJ
ajset-575	697	39	models	model	NOUN
ajset-575	697	40	for	for	ADP
ajset-575	697	41	teaching	teach	VERB
ajset-575	697	42	current	current	ADJ
ajset-575	697	43	theory	theory	NOUN
ajset-575	697	44	.	.	PUNCT
ajset-575	698	1	for	for	ADP
ajset-575	698	2	example	example	NOUN
ajset-575	698	3	,	,	PUNCT
ajset-575	698	4	by	by	ADP
ajset-575	698	5	applying	apply	VERB
ajset-575	698	6	the	the	DET
ajset-575	698	7	definition	definition	NOUN
ajset-575	698	8	of	of	ADP
ajset-575	698	9	rest	rest	NOUN
ajset-575	698	10	(	(	PUNCT
ajset-575	698	11	energy	energy	NOUN
ajset-575	698	12	)	)	PUNCT
ajset-575	698	13	mass	mass	NOUN
ajset-575	698	14	according	accord	VERB
ajset-575	698	15	to	to	ADP
ajset-575	698	16	the	the	DET
ajset-575	698	17	rw	rw	NOUN
ajset-575	698	18	,	,	PUNCT
ajset-575	698	19	a	a	DET
ajset-575	698	20	radius	radius	NOUN
ajset-575	698	21	rq	rq	NOUN
ajset-575	698	22	,	,	PUNCT
ajset-575	698	23	at	at	ADP
ajset-575	698	24	which	which	PRON
ajset-575	698	25	a	a	DET
ajset-575	698	26	hypothetical	hypothetical	ADJ
ajset-575	698	27	wave	wave	NOUN
ajset-575	698	28	of	of	ADP
ajset-575	698	29	the	the	DET
ajset-575	698	30	quark	quark	NOUN
ajset-575	698	31	is	be	AUX
ajset-575	698	32	rotating	rotate	VERB
ajset-575	698	33	at	at	ADP
ajset-575	698	34	the	the	DET
ajset-575	698	35	speed	speed	NOUN
ajset-575	698	36	of	of	ADP
ajset-575	698	37	light	light	NOUN
ajset-575	698	38	,	,	PUNCT
ajset-575	698	39	can	can	AUX
ajset-575	698	40	be	be	AUX
ajset-575	698	41	defined	define	VERB
ajset-575	698	42	as	as	ADP
ajset-575	698	43	:	:	PUNCT
ajset-575	698	44	rq	rq	NOUN
ajset-575	698	45	=	=	PUNCT
ajset-575	698	46	(	(	PUNCT
ajset-575	698	47	m	m	NOUN
ajset-575	698	48	e	e	NOUN
ajset-575	698	49	r	r	NOUN
ajset-575	698	50	e)/	e)/	PROPN
ajset-575	698	51	m	m	PROPN
ajset-575	698	52	q	q	NOUN
ajset-575	698	53	where	where	SCONJ
ajset-575	698	54	m	m	VERB
ajset-575	698	55	e	e	NOUN
ajset-575	698	56	and	and	CCONJ
ajset-575	698	57	m	m	PROPN
ajset-575	698	58	q	q	NOUN
ajset-575	698	59	are	be	AUX
ajset-575	698	60	the	the	DET
ajset-575	698	61	stationary	stationary	ADJ
ajset-575	698	62	masses	masse	NOUN
ajset-575	698	63	of	of	ADP
ajset-575	698	64	the	the	DET
ajset-575	698	65	electron	electron	NOUN
ajset-575	698	66	and	and	CCONJ
ajset-575	698	67	quark	quark	PROPN
ajset-575	698	68	respectively	respectively	ADV
ajset-575	698	69	.	.	PUNCT
ajset-575	699	1	re	re	PROPN
ajset-575	699	2	is	be	AUX
ajset-575	699	3	,	,	PUNCT
ajset-575	699	4	of	of	ADP
ajset-575	699	5	course	course	NOUN
ajset-575	699	6	,	,	PUNCT
ajset-575	699	7	the	the	DET
ajset-575	699	8	radius	radius	NOUN
ajset-575	699	9	of	of	ADP
ajset-575	699	10	the	the	DET
ajset-575	699	11	electron	electron	NOUN
ajset-575	699	12	wavicle	wavicle	NOUN
ajset-575	699	13	at	at	ADP
ajset-575	699	14	which	which	PRON
ajset-575	699	15	its	its	PRON
ajset-575	699	16	rotating	rotate	VERB
ajset-575	699	17	wave	wave	NOUN
ajset-575	699	18	is	be	AUX
ajset-575	699	19	traveling	travel	VERB
ajset-575	699	20	at	at	ADP
ajset-575	699	21	the	the	DET
ajset-575	699	22	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	699	23	academic	academic	ADJ
ajset-575	699	24	journal	journal	NOUN
ajset-575	699	25	of	of	ADP
ajset-575	699	26	science	science	NOUN
ajset-575	699	27	,	,	PUNCT
ajset-575	699	28	engineering	engineering	NOUN
ajset-575	699	29	and	and	CCONJ
ajset-575	699	30	technology	technology	NOUN
ajset-575	699	31	vol.6	vol.6	PROPN
ajset-575	699	32	,	,	PUNCT
ajset-575	699	33	issue	issue	NOUN
ajset-575	699	34	1	1	NUM
ajset-575	699	35	;	;	PUNCT
ajset-575	699	36	january	january	PROPN
ajset-575	699	37	febuary	febuary	PROPN
ajset-575	699	38	2021	2021	NUM
ajset-575	699	39	;	;	PUNCT
ajset-575	699	40	1252	1252	NUM
ajset-575	699	41	columbia	columbia	PROPN
ajset-575	699	42	rd	rd	PROPN
ajset-575	699	43	nw	nw	PROPN
ajset-575	699	44	,	,	PUNCT
ajset-575	699	45	washington	washington	PROPN
ajset-575	699	46	dc	dc	PROPN
ajset-575	699	47	,	,	PUNCT
ajset-575	699	48	united	united	PROPN
ajset-575	699	49	states	states	PROPN
ajset-575	699	50	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	699	51	;	;	PUNCT
ajset-575	699	52	mail	mail	NOUN
ajset-575	699	53	:	:	PUNCT
ajset-575	700	1	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	701	1	80	80	NUM
ajset-575	702	1	|	|	ADV
ajset-575	702	2	a	a	DET
ajset-575	702	3	c	c	NOUN
ajset-575	702	4	a	a	PRON
ajset-575	702	5	d	d	X
ajset-575	702	6	e	e	NOUN
ajset-575	702	7	m	m	NOUN
ajset-575	702	8	i	i	NOUN
ajset-575	702	9	c	c	NOUN
ajset-575	702	10	j	j	NOUN
ajset-575	702	11	o	o	X
ajset-575	702	12	u	u	NOUN
ajset-575	702	13	r	r	NOUN
ajset-575	702	14	n	n	NOUN
ajset-575	702	15	a	a	DET
ajset-575	702	16	l	l	NOUN
ajset-575	703	1	o	o	X
ajset-575	703	2	f	f	X
ajset-575	703	3	s	s	X
ajset-575	703	4	c	c	NOUN
ajset-575	704	1	i	i	NOUN
ajset-575	704	2	e	e	PROPN
ajset-575	704	3	n	n	PROPN
ajset-575	704	4	c	c	NOUN
ajset-575	704	5	e	e	X
ajset-575	704	6	,	,	PUNCT
ajset-575	704	7	e	e	PROPN
ajset-575	704	8	n	n	PRON
ajset-575	704	9	g	g	NOUN
ajset-575	704	10	i	i	PRON
ajset-575	704	11	n	n	VERB
ajset-575	704	12	e	e	NOUN
ajset-575	704	13	e	e	NOUN
ajset-575	704	14	r	r	VERB
ajset-575	704	15	i	i	PRON
ajset-575	704	16	n	n	CCONJ
ajset-575	704	17	g	g	PROPN
ajset-575	704	18	a	a	DET
ajset-575	704	19	n	n	NOUN
ajset-575	704	20	d	d	NOUN
ajset-575	704	21	t	t	NOUN
ajset-575	704	22	e	e	X
ajset-575	704	23	c	c	NOUN
ajset-575	704	24	h	h	NOUN
ajset-575	704	25	n	n	ADV
ajset-575	704	26	o	o	NOUN
ajset-575	704	27	l	l	NOUN
ajset-575	705	1	o	o	X
ajset-575	705	2	g	g	NOUN
ajset-575	705	3	y	y	PROPN
ajset-575	705	4	|	|	ADV
ajset-575	705	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	705	6	speed	speed	NOUN
ajset-575	705	7	of	of	ADP
ajset-575	705	8	light	light	NOUN
ajset-575	705	9	.	.	PUNCT
ajset-575	706	1	the	the	DET
ajset-575	706	2	radial	radial	ADJ
ajset-575	706	3	distance	distance	NOUN
ajset-575	706	4	rq	rq	NOUN
ajset-575	706	5	could	could	AUX
ajset-575	706	6	be	be	AUX
ajset-575	706	7	compared	compare	VERB
ajset-575	706	8	with	with	ADP
ajset-575	706	9	the	the	DET
ajset-575	706	10	distance	distance	NOUN
ajset-575	706	11	to	to	PART
ajset-575	706	12	which	which	PRON
ajset-575	706	13	the	the	DET
ajset-575	706	14	strong	strong	ADJ
ajset-575	706	15	force	force	NOUN
ajset-575	706	16	extends	extend	VERB
ajset-575	706	17	.	.	PUNCT
ajset-575	707	1	such	such	ADJ
ajset-575	707	2	speculations	speculation	NOUN
ajset-575	707	3	might	might	AUX
ajset-575	707	4	provide	provide	VERB
ajset-575	707	5	some	some	DET
ajset-575	707	6	enlightenment	enlightenment	NOUN
ajset-575	707	7	upon	upon	SCONJ
ajset-575	707	8	current	current	ADJ
ajset-575	707	9	qcd	qcd	PROPN
ajset-575	707	10	theory	theory	NOUN
ajset-575	707	11	.	.	PUNCT
ajset-575	708	1	s.a	s.a	PROPN
ajset-575	708	2	.	.	PROPN
ajset-575	708	3	emelyanov	emelyanov	PROPN
ajset-575	708	4	in	in	ADP
ajset-575	708	5	his	his	PRON
ajset-575	708	6	2012	2012	NUM
ajset-575	709	1	[	[	X
ajset-575	709	2	9	9	NUM
ajset-575	709	3	]	]	PUNCT
ajset-575	709	4	:	:	PUNCT
ajset-575	709	5	“	"	PUNCT
ajset-575	709	6	toward	toward	ADP
ajset-575	709	7	a	a	DET
ajset-575	709	8	real	real	ADJ
ajset-575	709	9	synthesis	synthesis	NOUN
ajset-575	709	10	of	of	ADP
ajset-575	709	11	quantum	quantum	NOUN
ajset-575	709	12	and	and	CCONJ
ajset-575	709	13	relativity	relativity	NOUN
ajset-575	709	14	theories	theory	NOUN
ajset-575	709	15	:	:	PUNCT
ajset-575	709	16	experimental	experimental	ADJ
ajset-575	709	17	evidence	evidence	NOUN
ajset-575	709	18	for	for	ADP
ajset-575	709	19	absolute	absolute	ADJ
ajset-575	709	20	simultaneity	simultaneity	NOUN
ajset-575	709	21	”	"	PUNCT
ajset-575	709	22	,	,	PUNCT
ajset-575	709	23	states	state	VERB
ajset-575	709	24	that	that	SCONJ
ajset-575	709	25	their	their	PRON
ajset-575	709	26	observations	observation	NOUN
ajset-575	709	27	leads	lead	VERB
ajset-575	709	28	them	they	PRON
ajset-575	709	29	to	to	PART
ajset-575	709	30	believe	believe	VERB
ajset-575	709	31	that	that	SCONJ
ajset-575	709	32	the	the	DET
ajset-575	709	33	de	de	PROPN
ajset-575	709	34	broglie	broglie	PROPN
ajset-575	709	35	-	-	PUNCT
ajset-575	709	36	bohm	bohm	PROPN
ajset-575	709	37	and	and	CCONJ
ajset-575	709	38	aether	aether	PROPN
ajset-575	709	39	related	relate	VERB
ajset-575	709	40	lorentz	lorentz	PROPN
ajset-575	709	41	-	-	PUNCT
ajset-575	709	42	poincare	poincare	PROPN
ajset-575	709	43	theories	theory	NOUN
ajset-575	709	44	are	be	AUX
ajset-575	709	45	capable	capable	ADJ
ajset-575	709	46	of	of	ADP
ajset-575	709	47	providing	provide	VERB
ajset-575	709	48	a	a	DET
ajset-575	709	49	real	real	ADJ
ajset-575	709	50	synthesis	synthesis	NOUN
ajset-575	709	51	of	of	ADP
ajset-575	709	52	quantum	quantum	NOUN
ajset-575	709	53	and	and	CCONJ
ajset-575	709	54	relativity	relativity	NOUN
ajset-575	709	55	theories	theory	NOUN
ajset-575	709	56	.	.	PUNCT
ajset-575	710	1	again	again	ADV
ajset-575	710	2	,	,	PUNCT
ajset-575	710	3	the	the	DET
ajset-575	710	4	rw	rw	NOUN
ajset-575	710	5	model	model	NOUN
ajset-575	710	6	has	have	VERB
ajset-575	710	7	two	two	NUM
ajset-575	710	8	nodes	node	NOUN
ajset-575	710	9	of	of	ADP
ajset-575	710	10	maximum	maximum	ADJ
ajset-575	710	11	amplitude	amplitude	NOUN
ajset-575	710	12	(	(	PUNCT
ajset-575	710	13	see	see	VERB
ajset-575	710	14	figure	figure	NOUN
ajset-575	710	15	4	4	NUM
ajset-575	710	16	)	)	PUNCT
ajset-575	710	17	which	which	PRON
ajset-575	710	18	create	create	VERB
ajset-575	710	19	quantum	quantum	ADJ
ajset-575	710	20	mechanics	mechanic	NOUN
ajset-575	710	21	and	and	CCONJ
ajset-575	710	22	the	the	DET
ajset-575	710	23	planar	planar	ADJ
ajset-575	710	24	wave	wave	NOUN
ajset-575	710	25	fronts	front	NOUN
ajset-575	710	26	of	of	ADP
ajset-575	710	27	these	these	DET
ajset-575	710	28	nodes	node	NOUN
ajset-575	710	29	incline	incline	VERB
ajset-575	710	30	and	and	CCONJ
ajset-575	710	31	with	with	ADP
ajset-575	710	32	a	a	DET
ajset-575	710	33	longer	long	ADV
ajset-575	710	34	helical	helical	ADJ
ajset-575	710	35	wavelength	wavelength	NOUN
ajset-575	710	36	,	,	PUNCT
ajset-575	710	37	thus	thus	ADV
ajset-575	710	38	creating	create	VERB
ajset-575	710	39	relativistic	relativistic	ADJ
ajset-575	710	40	effects	effect	NOUN
ajset-575	710	41	(	(	PUNCT
ajset-575	710	42	see	see	VERB
ajset-575	710	43	figures	figure	NOUN
ajset-575	710	44	5	5	NUM
ajset-575	710	45	,	,	PUNCT
ajset-575	710	46	6	6	NUM
ajset-575	710	47	,	,	PUNCT
ajset-575	710	48	and	and	CCONJ
ajset-575	711	1	8)	8)	NUM
ajset-575	711	2	.	.	PUNCT
ajset-575	711	3	dr	dr	PROPN
ajset-575	711	4	.	.	PROPN
ajset-575	711	5	louis	louis	PROPN
ajset-575	711	6	m.	m.	PROPN
ajset-575	711	7	houston	houston	PROPN
ajset-575	711	8	at	at	ADP
ajset-575	711	9	the	the	DET
ajset-575	711	10	university	university	PROPN
ajset-575	711	11	of	of	ADP
ajset-575	711	12	louisiana	louisiana	PROPN
ajset-575	711	13	at	at	ADP
ajset-575	711	14	lafayette	lafayette	PROPN
ajset-575	711	15	posted	post	VERB
ajset-575	711	16	his	his	PRON
ajset-575	711	17	2013	2013	NUM
ajset-575	711	18	article	article	NOUN
ajset-575	711	19	in	in	ADP
ajset-575	711	20	ijesit	ijesit	NOUN
ajset-575	711	21	:	:	PUNCT
ajset-575	711	22	“	"	PUNCT
ajset-575	711	23	the	the	DET
ajset-575	711	24	physics	physics	NOUN
ajset-575	711	25	of	of	ADP
ajset-575	711	26	a	a	DET
ajset-575	711	27	rotating	rotate	VERB
ajset-575	711	28	de	de	X
ajset-575	711	29	broglie	broglie	PROPN
ajset-575	711	30	wave	wave	NOUN
ajset-575	711	31	packet	packet	NOUN
ajset-575	711	32	”	"	PUNCT
ajset-575	712	1	[	[	X
ajset-575	712	2	10	10	NUM
ajset-575	712	3	]	]	PUNCT
ajset-575	712	4	.	.	PUNCT
ajset-575	713	1	as	as	ADP
ajset-575	713	2	per	per	ADP
ajset-575	713	3	his	his	PRON
ajset-575	713	4	abstract	abstract	ADJ
ajset-575	713	5	,	,	PUNCT
ajset-575	713	6	dr	dr	PROPN
ajset-575	713	7	.	.	PROPN
ajset-575	713	8	houston	houston	PROPN
ajset-575	713	9	finds	find	VERB
ajset-575	713	10	that	that	SCONJ
ajset-575	713	11	the	the	DET
ajset-575	713	12	field	field	NOUN
ajset-575	713	13	generated	generate	VERB
ajset-575	713	14	by	by	ADP
ajset-575	713	15	a	a	DET
ajset-575	713	16	rotating	rotate	VERB
ajset-575	713	17	de	de	X
ajset-575	713	18	broglie	broglie	PROPN
ajset-575	713	19	wave	wave	NOUN
ajset-575	713	20	packet	packet	NOUN
ajset-575	713	21	results	result	NOUN
ajset-575	713	22	in	in	ADP
ajset-575	713	23	a	a	DET
ajset-575	713	24	“	"	PUNCT
ajset-575	713	25	quantized	quantize	VERB
ajset-575	713	26	electromagnetic	electromagnetic	ADJ
ajset-575	713	27	-	-	PUNCT
ajset-575	713	28	centripetal	centripetal	NOUN
ajset-575	713	29	field	field	NOUN
ajset-575	713	30	for	for	ADP
ajset-575	713	31	a	a	DET
ajset-575	713	32	small	small	ADJ
ajset-575	713	33	angular	angular	ADJ
ajset-575	713	34	range”.dr	range”.dr	NOUN
ajset-575	713	35	.	.	PUNCT
ajset-575	714	1	robert	robert	PROPN
ajset-575	714	2	close	close	PROPN
ajset-575	714	3	in	in	ADP
ajset-575	714	4	portland	portland	PROPN
ajset-575	714	5	has	have	AUX
ajset-575	714	6	developed	develop	VERB
ajset-575	714	7	a	a	DET
ajset-575	714	8	classical	classical	ADJ
ajset-575	714	9	wave	wave	NOUN
ajset-575	714	10	description	description	NOUN
ajset-575	714	11	of	of	ADP
ajset-575	714	12	electrons	electron	NOUN
ajset-575	714	13	[	[	X
ajset-575	714	14	11	11	NUM
ajset-575	714	15	]	]	PUNCT
ajset-575	714	16	that	that	PRON
ajset-575	714	17	is	be	AUX
ajset-575	714	18	likely	likely	ADV
ajset-575	714	19	similar	similar	ADJ
ajset-575	714	20	to	to	ADP
ajset-575	714	21	the	the	DET
ajset-575	714	22	rw	rw	PROPN
ajset-575	714	23	model	model	NOUN
ajset-575	714	24	and	and	CCONJ
ajset-575	714	25	which	which	PRON
ajset-575	714	26	he	he	PRON
ajset-575	714	27	uses	use	VERB
ajset-575	714	28	for	for	ADP
ajset-575	714	29	comparative	comparative	ADJ
ajset-575	714	30	modeling	modeling	NOUN
ajset-575	714	31	in	in	ADP
ajset-575	714	32	teaching	teach	VERB
ajset-575	714	33	physics	physics	NOUN
ajset-575	714	34	.	.	PUNCT
ajset-575	715	1	[	[	X
ajset-575	715	2	00	00	X
ajset-575	715	3	]	]	X
ajset-575	715	4	one	one	NUM
ajset-575	715	5	thing	thing	NOUN
ajset-575	715	6	i	i	PRON
ajset-575	715	7	agree	agree	VERB
ajset-575	715	8	with	with	ADP
ajset-575	715	9	on	on	ADP
ajset-575	715	10	the	the	DET
ajset-575	715	11	classical	classical	ADJ
ajset-575	715	12	wave	wave	NOUN
ajset-575	715	13	description	description	NOUN
ajset-575	715	14	is	be	AUX
ajset-575	715	15	that	that	SCONJ
ajset-575	715	16	the	the	DET
ajset-575	715	17	wave	wave	NOUN
ajset-575	715	18	function	function	NOUN
ajset-575	715	19	actually	actually	ADV
ajset-575	715	20	causes	cause	VERB
ajset-575	715	21	relativistic	relativistic	ADJ
ajset-575	715	22	effects	effect	NOUN
ajset-575	715	23	rather	rather	ADV
ajset-575	715	24	than	than	ADP
ajset-575	715	25	just	just	ADV
ajset-575	715	26	complying	comply	VERB
ajset-575	715	27	with	with	ADP
ajset-575	715	28	relativity	relativity	NOUN
ajset-575	715	29	.	.	PUNCT
ajset-575	716	1	in	in	ADP
ajset-575	716	2	the	the	DET
ajset-575	716	3	emelyanov	emelyanov	NOUN
ajset-575	716	4	,	,	PUNCT
ajset-575	716	5	houston	houston	PROPN
ajset-575	716	6	,	,	PUNCT
ajset-575	716	7	and	and	CCONJ
ajset-575	716	8	close	close	ADJ
ajset-575	716	9	concepts	concept	NOUN
ajset-575	716	10	,	,	PUNCT
ajset-575	716	11	it	it	PRON
ajset-575	716	12	could	could	AUX
ajset-575	716	13	be	be	AUX
ajset-575	716	14	very	very	ADV
ajset-575	716	15	revealing	revealing	ADJ
ajset-575	716	16	in	in	ADP
ajset-575	716	17	comparing	compare	VERB
ajset-575	716	18	the	the	DET
ajset-575	716	19	rotating	rotate	VERB
ajset-575	716	20	wave	wave	NOUN
ajset-575	716	21	vectors	vector	NOUN
ajset-575	716	22	with	with	ADP
ajset-575	716	23	the	the	DET
ajset-575	716	24	dirac	dirac	NOUN
ajset-575	716	25	matrix	matrix	NOUN
ajset-575	716	26	equations	equation	NOUN
ajset-575	716	27	and	and	CCONJ
ajset-575	716	28	rotating	rotate	VERB
ajset-575	716	29	de	de	PROPN
ajset-575	716	30	broglie	broglie	PROPN
ajset-575	716	31	wave	wave	NOUN
ajset-575	716	32	packet	packet	NOUN
ajset-575	716	33	.	.	PUNCT
ajset-575	717	1	after	after	ADP
ajset-575	717	2	some	some	DET
ajset-575	717	3	analysis	analysis	NOUN
ajset-575	717	4	,	,	PUNCT
ajset-575	717	5	that	that	PRON
ajset-575	717	6	would	would	AUX
ajset-575	717	7	be	be	AUX
ajset-575	717	8	greatly	greatly	ADV
ajset-575	717	9	facilitated	facilitate	VERB
ajset-575	717	10	by	by	ADP
ajset-575	717	11	in	in	ADP
ajset-575	717	12	person	person	NOUN
ajset-575	717	13	discussion	discussion	NOUN
ajset-575	717	14	groups	group	NOUN
ajset-575	717	15	,	,	PUNCT
ajset-575	717	16	also	also	ADV
ajset-575	717	17	including	include	VERB
ajset-575	717	18	hestenes	hestene	NOUN
ajset-575	717	19	and	and	CCONJ
ajset-575	717	20	kim	kim	PROPN
ajset-575	717	21	.	.	PUNCT
ajset-575	718	1	a	a	DET
ajset-575	718	2	revisit	revisit	NOUN
ajset-575	718	3	of	of	ADP
ajset-575	718	4	the	the	DET
ajset-575	718	5	gouanere	gouanere	PROPN
ajset-575	718	6	et	et	PROPN
ajset-575	718	7	el	el	PROPN
ajset-575	718	8	channeling	channel	VERB
ajset-575	718	9	and	and	CCONJ
ajset-575	718	10	ricce	ricce	NOUN
ajset-575	718	11	type	type	NOUN
ajset-575	718	12	experiments	experiment	NOUN
ajset-575	718	13	[	[	X
ajset-575	718	14	8	8	NUM
ajset-575	718	15	]	]	PUNCT
ajset-575	718	16	might	might	AUX
ajset-575	718	17	be	be	AUX
ajset-575	718	18	done	do	VERB
ajset-575	718	19	in	in	ADP
ajset-575	718	20	order	order	NOUN
ajset-575	718	21	to	to	PART
ajset-575	718	22	find	find	VERB
ajset-575	718	23	out	out	ADP
ajset-575	718	24	if	if	SCONJ
ajset-575	718	25	the	the	DET
ajset-575	718	26	classical	classical	ADJ
ajset-575	718	27	rotating	rotating	NOUN
ajset-575	718	28	wave	wave	NOUN
ajset-575	718	29	model	model	NOUN
ajset-575	718	30	is	be	AUX
ajset-575	718	31	correct.refer	correct.refer	NOUN
ajset-575	718	32	to	to	PART
ajset-575	718	33	figure	figure	VERB
ajset-575	718	34	16	16	NUM
ajset-575	718	35	below	below	ADV
ajset-575	718	36	.	.	PUNCT
ajset-575	719	1	while	while	SCONJ
ajset-575	719	2	comparing	compare	VERB
ajset-575	719	3	the	the	DET
ajset-575	719	4	spin	spin	NOUN
ajset-575	719	5	and	and	CCONJ
ajset-575	719	6	charge	charge	NOUN
ajset-575	719	7	of	of	ADP
ajset-575	719	8	an	an	DET
ajset-575	719	9	electron	electron	NOUN
ajset-575	719	10	with	with	ADP
ajset-575	719	11	its	its	PRON
ajset-575	719	12	anti	anti	ADJ
ajset-575	719	13	-	-	ADJ
ajset-575	719	14	particle	particle	NOUN
ajset-575	719	15	the	the	DET
ajset-575	719	16	positron	positron	NOUN
ajset-575	719	17	,	,	PUNCT
ajset-575	719	18	i	i	PRON
ajset-575	719	19	noticed	notice	VERB
ajset-575	719	20	that	that	SCONJ
ajset-575	719	21	the	the	DET
ajset-575	719	22	quarks	quark	NOUN
ajset-575	719	23	were	be	AUX
ajset-575	719	24	of	of	ADP
ajset-575	719	25	a	a	DET
ajset-575	719	26	different	different	ADJ
ajset-575	719	27	size	size	NOUN
ajset-575	719	28	as	as	ADV
ajset-575	719	29	well	well	ADV
ajset-575	719	30	as	as	ADP
ajset-575	719	31	charge	charge	NOUN
ajset-575	719	32	.	.	PUNCT
ajset-575	720	1	the	the	DET
ajset-575	720	2	electron	electron	NOUN
ajset-575	720	3	positron	positron	NOUN
ajset-575	720	4	pair	pair	NOUN
ajset-575	720	5	annilihate	annilihate	NOUN
ajset-575	720	6	each	each	DET
ajset-575	720	7	other	other	ADJ
ajset-575	720	8	while	while	SCONJ
ajset-575	720	9	the	the	DET
ajset-575	720	10	proton	proton	NOUN
ajset-575	720	11	is	be	AUX
ajset-575	720	12	formed	form	VERB
ajset-575	720	13	of	of	ADP
ajset-575	720	14	two	two	NUM
ajset-575	720	15	up	up	ADP
ajset-575	720	16	quarks	quarks	NOUN
ajset-575	720	17	plus	plus	CCONJ
ajset-575	720	18	one	one	NUM
ajset-575	720	19	down	down	ADP
ajset-575	720	20	quark	quark	NOUN
ajset-575	720	21	.	.	PUNCT
ajset-575	721	1	it	it	PRON
ajset-575	721	2	is	be	AUX
ajset-575	721	3	speculation	speculation	NOUN
ajset-575	721	4	only	only	ADV
ajset-575	721	5	,	,	PUNCT
ajset-575	721	6	but	but	CCONJ
ajset-575	721	7	perhaps	perhaps	ADV
ajset-575	721	8	the	the	DET
ajset-575	721	9	next	next	ADJ
ajset-575	721	10	higher	high	ADJ
ajset-575	721	11	complex	complex	ADJ
ajset-575	721	12	form	form	NOUN
ajset-575	721	13	of	of	ADP
ajset-575	721	14	spin	spin	NOUN
ajset-575	721	15	is	be	AUX
ajset-575	721	16	the	the	DET
ajset-575	721	17	figure	figure	NOUN
ajset-575	721	18	eight	eight	NUM
ajset-575	721	19	.	.	PUNCT
ajset-575	722	1	the	the	DET
ajset-575	722	2	electromagnetic	electromagnetic	ADJ
ajset-575	722	3	wave	wave	NOUN
ajset-575	722	4	would	would	AUX
ajset-575	722	5	be	be	AUX
ajset-575	722	6	able	able	ADJ
ajset-575	722	7	to	to	PART
ajset-575	722	8	wind	wind	VERB
ajset-575	722	9	in	in	ADP
ajset-575	722	10	a	a	DET
ajset-575	722	11	figure	figure	NOUN
ajset-575	722	12	eight	eight	NUM
ajset-575	722	13	fashion	fashion	NOUN
ajset-575	722	14	because	because	SCONJ
ajset-575	722	15	there	there	PRON
ajset-575	722	16	are	be	VERB
ajset-575	722	17	two	two	NUM
ajset-575	722	18	maximum	maximum	ADJ
ajset-575	722	19	nodes	node	NOUN
ajset-575	722	20	with	with	ADP
ajset-575	722	21	half	half	NOUN
ajset-575	722	22	spin	spin	NOUN
ajset-575	722	23	for	for	ADP
ajset-575	722	24	both	both	CCONJ
ajset-575	722	25	the	the	DET
ajset-575	722	26	quarks	quark	NOUN
ajset-575	722	27	and	and	CCONJ
ajset-575	722	28	the	the	DET
ajset-575	722	29	electron	electron	NOUN
ajset-575	722	30	(	(	PUNCT
ajset-575	722	31	as	as	SCONJ
ajset-575	722	32	shown	show	VERB
ajset-575	722	33	in	in	ADP
ajset-575	722	34	figure	figure	NOUN
ajset-575	722	35	4	4	NUM
ajset-575	722	36	)	)	PUNCT
ajset-575	722	37	.	.	PUNCT
ajset-575	723	1	figure	figure	VERB
ajset-575	723	2	16	16	NUM
ajset-575	723	3	:	:	PUNCT
ajset-575	723	4	the	the	DET
ajset-575	723	5	rotating	rotate	VERB
ajset-575	723	6	em	em	PRON
ajset-575	723	7	waves	wave	NOUN
ajset-575	723	8	are	be	AUX
ajset-575	723	9	shown	show	VERB
ajset-575	723	10	winding	wind	VERB
ajset-575	723	11	through	through	ADP
ajset-575	723	12	the	the	DET
ajset-575	723	13	proton	proton	NOUN
ajset-575	723	14	and	and	CCONJ
ajset-575	723	15	the	the	DET
ajset-575	723	16	neutron	neutron	NOUN
ajset-575	723	17	in	in	ADP
ajset-575	723	18	figure	figure	NOUN
ajset-575	723	19	eight	eight	NUM
ajset-575	723	20	fashion	fashion	NOUN
ajset-575	723	21	,	,	PUNCT
ajset-575	723	22	possibly	possibly	ADV
ajset-575	723	23	manifesting	manifest	VERB
ajset-575	723	24	the	the	DET
ajset-575	723	25	strong	strong	ADJ
ajset-575	723	26	force	force	NOUN
ajset-575	723	27	.	.	PUNCT
ajset-575	724	1	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	724	2	academic	academic	ADJ
ajset-575	724	3	journal	journal	NOUN
ajset-575	724	4	of	of	ADP
ajset-575	724	5	science	science	NOUN
ajset-575	724	6	,	,	PUNCT
ajset-575	724	7	engineering	engineering	NOUN
ajset-575	724	8	and	and	CCONJ
ajset-575	724	9	technology	technology	NOUN
ajset-575	724	10	vol.6	vol.6	PROPN
ajset-575	724	11	,	,	PUNCT
ajset-575	724	12	issue	issue	NOUN
ajset-575	724	13	1	1	NUM
ajset-575	724	14	;	;	PUNCT
ajset-575	724	15	january	january	PROPN
ajset-575	724	16	febuary	febuary	PROPN
ajset-575	724	17	2021	2021	NUM
ajset-575	724	18	;	;	PUNCT
ajset-575	724	19	1252	1252	NUM
ajset-575	724	20	columbia	columbia	PROPN
ajset-575	724	21	rd	rd	PROPN
ajset-575	724	22	nw	nw	PROPN
ajset-575	724	23	,	,	PUNCT
ajset-575	724	24	washington	washington	PROPN
ajset-575	724	25	dc	dc	PROPN
ajset-575	724	26	,	,	PUNCT
ajset-575	724	27	united	united	PROPN
ajset-575	724	28	states	states	PROPN
ajset-575	724	29	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	724	30	;	;	PUNCT
ajset-575	724	31	mail	mail	NOUN
ajset-575	724	32	:	:	PUNCT
ajset-575	725	1	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	725	2	81	81	NUM
ajset-575	726	1	|	|	ADV
ajset-575	726	2	a	a	DET
ajset-575	726	3	c	c	NOUN
ajset-575	726	4	a	a	PRON
ajset-575	726	5	d	d	X
ajset-575	726	6	e	e	NOUN
ajset-575	726	7	m	m	NOUN
ajset-575	726	8	i	i	NOUN
ajset-575	726	9	c	c	NOUN
ajset-575	726	10	j	j	NOUN
ajset-575	726	11	o	o	X
ajset-575	726	12	u	u	NOUN
ajset-575	726	13	r	r	NOUN
ajset-575	726	14	n	n	NOUN
ajset-575	726	15	a	a	DET
ajset-575	726	16	l	l	NOUN
ajset-575	727	1	o	o	X
ajset-575	727	2	f	f	X
ajset-575	727	3	s	s	X
ajset-575	727	4	c	c	NOUN
ajset-575	728	1	i	i	NOUN
ajset-575	728	2	e	e	PROPN
ajset-575	728	3	n	n	PROPN
ajset-575	728	4	c	c	NOUN
ajset-575	728	5	e	e	X
ajset-575	728	6	,	,	PUNCT
ajset-575	728	7	e	e	PROPN
ajset-575	728	8	n	n	PRON
ajset-575	728	9	g	g	NOUN
ajset-575	728	10	i	i	PRON
ajset-575	728	11	n	n	VERB
ajset-575	728	12	e	e	NOUN
ajset-575	728	13	e	e	NOUN
ajset-575	728	14	r	r	VERB
ajset-575	728	15	i	i	PRON
ajset-575	728	16	n	n	CCONJ
ajset-575	728	17	g	g	PROPN
ajset-575	728	18	a	a	DET
ajset-575	728	19	n	n	NOUN
ajset-575	728	20	d	d	NOUN
ajset-575	728	21	t	t	NOUN
ajset-575	728	22	e	e	X
ajset-575	728	23	c	c	NOUN
ajset-575	728	24	h	h	NOUN
ajset-575	728	25	n	n	ADV
ajset-575	728	26	o	o	NOUN
ajset-575	728	27	l	l	NOUN
ajset-575	729	1	o	o	X
ajset-575	729	2	g	g	NOUN
ajset-575	729	3	y	y	PROPN
ajset-575	729	4	|	|	ADV
ajset-575	729	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	729	6	regardless	regardless	ADV
ajset-575	729	7	of	of	ADP
ajset-575	729	8	whether	whether	SCONJ
ajset-575	729	9	the	the	DET
ajset-575	729	10	rotating	rotate	VERB
ajset-575	729	11	wave	wave	NOUN
ajset-575	729	12	model	model	NOUN
ajset-575	729	13	is	be	AUX
ajset-575	729	14	absolutely	absolutely	ADV
ajset-575	729	15	correct	correct	ADJ
ajset-575	729	16	or	or	CCONJ
ajset-575	729	17	not	not	PART
ajset-575	729	18	,	,	PUNCT
ajset-575	729	19	more	more	ADJ
ajset-575	729	20	study	study	NOUN
ajset-575	729	21	might	might	AUX
ajset-575	729	22	be	be	AUX
ajset-575	729	23	done	do	VERB
ajset-575	729	24	in	in	ADP
ajset-575	729	25	that	that	DET
ajset-575	729	26	direction	direction	NOUN
ajset-575	729	27	to	to	PART
ajset-575	729	28	advance	advance	VERB
ajset-575	729	29	theory	theory	NOUN
ajset-575	729	30	and	and	CCONJ
ajset-575	729	31	also	also	ADV
ajset-575	729	32	see	see	VERB
ajset-575	729	33	what	what	PRON
ajset-575	729	34	technological	technological	ADJ
ajset-575	729	35	applications	application	NOUN
ajset-575	729	36	might	might	AUX
ajset-575	729	37	be	be	AUX
ajset-575	729	38	developed	develop	VERB
ajset-575	729	39	.	.	PUNCT
ajset-575	730	1	finally	finally	ADV
ajset-575	730	2	,	,	PUNCT
ajset-575	730	3	the	the	DET
ajset-575	730	4	rotating	rotate	VERB
ajset-575	730	5	wave	wave	NOUN
ajset-575	730	6	theory	theory	NOUN
ajset-575	730	7	might	might	AUX
ajset-575	730	8	not	not	PART
ajset-575	730	9	have	have	AUX
ajset-575	730	10	be	be	AUX
ajset-575	730	11	so	so	ADV
ajset-575	730	12	radical	radical	ADJ
ajset-575	730	13	if	if	SCONJ
ajset-575	730	14	the	the	DET
ajset-575	730	15	de	de	X
ajset-575	730	16	broglie	broglie	PROPN
ajset-575	730	17	wave	wave	NOUN
ajset-575	730	18	nature	nature	NOUN
ajset-575	730	19	of	of	ADP
ajset-575	730	20	matter	matter	NOUN
ajset-575	730	21	had	have	AUX
ajset-575	730	22	been	be	AUX
ajset-575	730	23	established	establish	VERB
ajset-575	730	24	prior	prior	ADV
ajset-575	730	25	to	to	ADP
ajset-575	730	26	the	the	DET
ajset-575	730	27	famous	famous	ADJ
ajset-575	730	28	michelson	michelson	PROPN
ajset-575	730	29	-	-	PUNCT
ajset-575	730	30	morley	morley	PROPN
ajset-575	730	31	experiment	experiment	NOUN
ajset-575	730	32	.	.	PUNCT
ajset-575	731	1	the	the	DET
ajset-575	731	2	rw	rw	PROPN
ajset-575	731	3	model	model	NOUN
ajset-575	731	4	requires	require	VERB
ajset-575	731	5	that	that	SCONJ
ajset-575	731	6	all	all	DET
ajset-575	731	7	matter	matter	NOUN
ajset-575	731	8	is	be	AUX
ajset-575	731	9	being	be	AUX
ajset-575	731	10	transmitted	transmit	VERB
ajset-575	731	11	through	through	ADP
ajset-575	731	12	space	space	NOUN
ajset-575	731	13	,	,	PUNCT
ajset-575	731	14	after	after	ADP
ajset-575	731	15	all	all	PRON
ajset-575	731	16	it	it	PRON
ajset-575	731	17	is	be	AUX
ajset-575	731	18	energy	energy	NOUN
ajset-575	731	19	.	.	PUNCT
ajset-575	732	1	that	that	PRON
ajset-575	732	2	would	would	AUX
ajset-575	732	3	have	have	AUX
ajset-575	732	4	avoided	avoid	VERB
ajset-575	732	5	any	any	DET
ajset-575	732	6	discussion	discussion	NOUN
ajset-575	732	7	about	about	ADP
ajset-575	732	8	aether	aether	PROPN
ajset-575	732	9	drag	drag	PROPN
ajset-575	732	10	.	.	PUNCT
ajset-575	733	1	aether	aether	PROPN
ajset-575	733	2	really	really	ADV
ajset-575	733	3	is	be	AUX
ajset-575	733	4	just	just	ADV
ajset-575	733	5	the	the	DET
ajset-575	733	6	homogeneous	homogeneous	ADJ
ajset-575	733	7	electromagnetic	electromagnetic	ADJ
ajset-575	733	8	field	field	NOUN
ajset-575	733	9	of	of	ADP
ajset-575	733	10	empty	empty	ADJ
ajset-575	733	11	space	space	NOUN
ajset-575	733	12	.	.	PUNCT
ajset-575	734	1	it	it	PRON
ajset-575	734	2	allows	allow	VERB
ajset-575	734	3	the	the	DET
ajset-575	734	4	transmission	transmission	NOUN
ajset-575	734	5	of	of	ADP
ajset-575	734	6	light	light	NOUN
ajset-575	734	7	,	,	PUNCT
ajset-575	734	8	matter	matter	NOUN
ajset-575	734	9	,	,	PUNCT
ajset-575	734	10	and	and	CCONJ
ajset-575	734	11	other	other	ADJ
ajset-575	734	12	forms	form	NOUN
ajset-575	734	13	of	of	ADP
ajset-575	734	14	radiation	radiation	NOUN
ajset-575	734	15	.	.	PUNCT
ajset-575	735	1	it	it	PRON
ajset-575	735	2	appears	appear	VERB
ajset-575	735	3	to	to	PART
ajset-575	735	4	extend	extend	VERB
ajset-575	735	5	through	through	ADP
ajset-575	735	6	the	the	DET
ajset-575	735	7	universe	universe	NOUN
ajset-575	735	8	as	as	SCONJ
ajset-575	735	9	we	we	PRON
ajset-575	735	10	know	know	VERB
ajset-575	735	11	it	it	PRON
ajset-575	735	12	,	,	PUNCT
ajset-575	735	13	but	but	CCONJ
ajset-575	735	14	perhaps	perhaps	ADV
ajset-575	735	15	there	there	PRON
ajset-575	735	16	are	be	VERB
ajset-575	735	17	more	more	ADJ
ajset-575	735	18	substrata	substrata	ADJ
ajset-575	735	19	fields	field	NOUN
ajset-575	735	20	which	which	PRON
ajset-575	735	21	are	be	AUX
ajset-575	735	22	so	so	ADV
ajset-575	735	23	far	far	ADV
ajset-575	735	24	undetected	undetected	ADJ
ajset-575	735	25	and	and	CCONJ
ajset-575	735	26	extend	extend	VERB
ajset-575	735	27	much	much	ADV
ajset-575	735	28	further	far	ADV
ajset-575	735	29	.	.	PUNCT
ajset-575	736	1	acknowledgements	acknowledgement	NOUN
ajset-575	736	2	i	i	PRON
ajset-575	736	3	wish	wish	VERB
ajset-575	736	4	to	to	PART
ajset-575	736	5	thank	thank	VERB
ajset-575	736	6	ernest	ernest	PROPN
ajset-575	736	7	von	von	PROPN
ajset-575	736	8	rosen	rosen	PROPN
ajset-575	736	9	m.sc	m.sc	PROPN
ajset-575	736	10	.	.	PUNCT
ajset-575	737	1	physics	physics	PROPN
ajset-575	737	2	for	for	ADP
ajset-575	737	3	his	his	PRON
ajset-575	737	4	support	support	NOUN
ajset-575	737	5	and	and	CCONJ
ajset-575	737	6	earlier	early	ADJ
ajset-575	737	7	attempt	attempt	NOUN
ajset-575	737	8	at	at	ADP
ajset-575	737	9	publication	publication	NOUN
ajset-575	737	10	.	.	PUNCT
ajset-575	738	1	also	also	ADV
ajset-575	738	2	,	,	PUNCT
ajset-575	738	3	thanks	thank	NOUN
ajset-575	738	4	goes	go	VERB
ajset-575	738	5	to	to	ADP
ajset-575	738	6	steve	steve	PROPN
ajset-575	738	7	belleguelle	belleguelle	NOUN
ajset-575	738	8	for	for	ADP
ajset-575	738	9	his	his	PRON
ajset-575	738	10	program	program	NOUN
ajset-575	738	11	amiweb	amiweb	ADJ
ajset-575	738	12	.	.	PUNCT
ajset-575	739	1	i	i	PRON
ajset-575	739	2	first	first	ADV
ajset-575	739	3	heard	hear	VERB
ajset-575	739	4	the	the	DET
ajset-575	739	5	term	term	NOUN
ajset-575	739	6	"	"	PUNCT
ajset-575	739	7	wavicle	wavicle	NOUN
ajset-575	739	8	"	"	PUNCT
ajset-575	739	9	mentioned	mention	VERB
ajset-575	739	10	by	by	ADP
ajset-575	739	11	dr	dr	PROPN
ajset-575	739	12	.	.	PROPN
ajset-575	739	13	carl	carl	PROPN
ajset-575	739	14	sagan	sagan	PROPN
ajset-575	739	15	.	.	PUNCT
ajset-575	740	1	i	i	PRON
ajset-575	740	2	admire	admire	VERB
ajset-575	740	3	h.a	h.a	PROPN
ajset-575	740	4	.	.	PROPN
ajset-575	740	5	lorentz	lorentz	PROPN
ajset-575	740	6	for	for	ADP
ajset-575	740	7	all	all	PRON
ajset-575	740	8	of	of	ADP
ajset-575	740	9	his	his	PRON
ajset-575	740	10	work	work	NOUN
ajset-575	740	11	as	as	SCONJ
ajset-575	740	12	i	i	PRON
ajset-575	740	13	do	do	VERB
ajset-575	740	14	others	other	NOUN
ajset-575	740	15	,	,	PUNCT
ajset-575	740	16	particularly	particularly	ADV
ajset-575	740	17	albert	albert	PROPN
ajset-575	740	18	e.	e.	PROPN
ajset-575	740	19	einstein	einstein	PROPN
ajset-575	740	20	,	,	PUNCT
ajset-575	740	21	all	all	PRON
ajset-575	740	22	of	of	ADP
ajset-575	740	23	whom	whom	PRON
ajset-575	740	24	i	i	PRON
ajset-575	740	25	could	could	AUX
ajset-575	740	26	not	not	PART
ajset-575	740	27	envisage	envisage	VERB
ajset-575	740	28	the	the	DET
ajset-575	740	29	rotating	rotate	VERB
ajset-575	740	30	wave	wave	NOUN
ajset-575	740	31	without	without	ADP
ajset-575	740	32	their	their	PRON
ajset-575	740	33	diligent	diligent	ADJ
ajset-575	740	34	math	math	NOUN
ajset-575	740	35	and	and	CCONJ
ajset-575	740	36	logic	logic	NOUN
ajset-575	740	37	.	.	PUNCT
ajset-575	741	1	to	to	ADP
ajset-575	741	2	all	all	PRON
ajset-575	741	3	of	of	ADP
ajset-575	741	4	my	my	PRON
ajset-575	741	5	teachers	teacher	NOUN
ajset-575	741	6	who	who	PRON
ajset-575	741	7	inspired	inspire	VERB
ajset-575	741	8	me	i	PRON
ajset-575	741	9	to	to	PART
ajset-575	741	10	"	"	PUNCT
ajset-575	741	11	always	always	ADV
ajset-575	741	12	learn	learn	VERB
ajset-575	741	13	to	to	PART
ajset-575	741	14	be	be	AUX
ajset-575	741	15	aware	aware	ADJ
ajset-575	741	16	of	of	ADP
ajset-575	741	17	what	what	PRON
ajset-575	741	18	we	we	PRON
ajset-575	741	19	are	be	AUX
ajset-575	741	20	dealing	deal	VERB
ajset-575	741	21	with	with	ADP
ajset-575	741	22	"	"	PUNCT
ajset-575	741	23	thank	thank	VERB
ajset-575	741	24	you	you	PRON
ajset-575	741	25	.	.	PUNCT
ajset-575	742	1	w.h.f.christie	w.h.f.christie	ADJ
ajset-575	742	2	.	.	PUNCT
ajset-575	742	3	word	word	NOUN
ajset-575	742	4	document	document	NOUN
ajset-575	742	5	transcribed	transcribe	VERB
ajset-575	742	6	to	to	PART
ajset-575	742	7	latex	latex	VERB
ajset-575	742	8	by	by	ADP
ajset-575	742	9	h.	h.	PROPN
ajset-575	742	10	fearn	fearn	PROPN
ajset-575	742	11	and	and	CCONJ
ajset-575	742	12	later	later	ADV
ajset-575	742	13	transcribed	transcribe	VERB
ajset-575	742	14	to	to	PART
ajset-575	742	15	word	word	NOUN
ajset-575	742	16	for	for	ADP
ajset-575	742	17	final	final	ADJ
ajset-575	742	18	publication	publication	NOUN
ajset-575	742	19	.	.	PUNCT
ajset-575	743	1	general	general	ADJ
ajset-575	743	2	references	reference	NOUN
ajset-575	743	3	belinfante	belinfante	PROPN
ajset-575	743	4	,	,	PUNCT
ajset-575	743	5	f.	f.	PROPN
ajset-575	743	6	,	,	PUNCT
ajset-575	743	7	on	on	ADP
ajset-575	743	8	the	the	DET
ajset-575	743	9	current	current	NOUN
ajset-575	743	10	and	and	CCONJ
ajset-575	743	11	the	the	DET
ajset-575	743	12	density	density	NOUN
ajset-575	743	13	of	of	ADP
ajset-575	743	14	the	the	DET
ajset-575	743	15	electric	electric	ADJ
ajset-575	743	16	charge	charge	NOUN
ajset-575	743	17	,	,	PUNCT
ajset-575	743	18	the	the	DET
ajset-575	743	19	energy	energy	NOUN
ajset-575	743	20	,	,	PUNCT
ajset-575	743	21	the	the	DET
ajset-575	743	22	linear	linear	ADJ
ajset-575	743	23	momentum	momentum	NOUN
ajset-575	743	24	,	,	PUNCT
ajset-575	743	25	and	and	CCONJ
ajset-575	743	26	the	the	DET
ajset-575	743	27	angular	angular	ADJ
ajset-575	743	28	momentum	momentum	NOUN
ajset-575	743	29	of	of	ADP
ajset-575	743	30	arbitray	arbitray	ADJ
ajset-575	743	31	fields	field	NOUN
ajset-575	743	32	,	,	PUNCT
ajset-575	743	33	physica	physica	NOUN
ajset-575	743	34	6	6	NUM
ajset-575	743	35	,	,	PUNCT
ajset-575	743	36	887	887	NUM
ajset-575	743	37	and	and	CCONJ
ajset-575	743	38	7	7	NUM
ajset-575	743	39	,	,	PUNCT
ajset-575	743	40	449	449	NUM
ajset-575	743	41	-	-	SYM
ajset-575	743	42	474	474	NUM
ajset-575	743	43	,	,	PUNCT
ajset-575	743	44	1939	1939	NUM
ajset-575	743	45	.	.	PUNCT
ajset-575	744	1	crossley	crossley	PROPN
ajset-575	744	2	,	,	PUNCT
ajset-575	744	3	dennis	dennis	PROPN
ajset-575	744	4	,	,	PUNCT
ajset-575	744	5	conceptual	conceptual	ADJ
ajset-575	744	6	barriers	barrier	NOUN
ajset-575	744	7	to	to	ADP
ajset-575	744	8	a	a	DET
ajset-575	744	9	unified	unified	ADJ
ajset-575	744	10	theory	theory	NOUN
ajset-575	744	11	of	of	ADP
ajset-575	744	12	physics	physics	PROPN
ajset-575	744	13	,	,	PUNCT
ajset-575	744	14	dept	dept	NOUN
ajset-575	744	15	of	of	ADP
ajset-575	744	16	physics	physics	PROPN
ajset-575	744	17	,	,	PUNCT
ajset-575	744	18	university	university	PROPN
ajset-575	744	19	of	of	ADP
ajset-575	744	20	wisconsinsheboygan	wisconsinsheboygan	PROPN
ajset-575	744	21	,	,	PUNCT
ajset-575	744	22	sheboygan	sheboygan	PROPN
ajset-575	744	23	,	,	PUNCT
ajset-575	744	24	wi	wi	PROPN
ajset-575	744	25	53081	53081	NUM
ajset-575	744	26	august	august	PROPN
ajset-575	744	27	31	31	NUM
ajset-575	744	28	,	,	PUNCT
ajset-575	744	29	2012	2012	NUM
ajset-575	744	30	overduin	overduin	NOUN
ajset-575	744	31	,	,	PUNCT
ajset-575	744	32	j.m	j.m	PROPN
ajset-575	744	33	.	.	PROPN
ajset-575	744	34	,wesson	,wesson	PROPN
ajset-575	744	35	,	,	PUNCT
ajset-575	744	36	p.s	p.s	INTJ
ajset-575	744	37	.	.	PROPN
ajset-575	744	38	,	,	PUNCT
ajset-575	744	39	kaluza	kaluza	PROPN
ajset-575	744	40	-	-	PUNCT
ajset-575	744	41	klein	klein	PROPN
ajset-575	744	42	gravity	gravity	NOUN
ajset-575	744	43	,	,	PUNCT
ajset-575	744	44	arxiv	arxiv	PROPN
ajset-575	744	45	:	:	PUNCT
ajset-575	744	46	gr	gr	PROPN
ajset-575	744	47	-	-	NOUN
ajset-575	744	48	qc/9805018v1	qc/9805018v1	PROPN
ajset-575	744	49	,	,	PUNCT
ajset-575	744	50	1998	1998	NUM
ajset-575	744	51	http://arxiv.org/abs/grqc/9805018	http://arxiv.org/abs/grqc/9805018	NOUN
ajset-575	744	52	de	de	X
ajset-575	744	53	broglie	broglie	PROPN
ajset-575	744	54	,	,	PUNCT
ajset-575	744	55	l.v	l.v	PROPN
ajset-575	744	56	.	.	PROPN
ajset-575	744	57	,	,	PUNCT
ajset-575	744	58	recherches	recherche	VERB
ajset-575	744	59	sur	sur	PROPN
ajset-575	744	60	la	la	PROPN
ajset-575	744	61	theorie	theorie	PROPN
ajset-575	744	62	des	des	PROPN
ajset-575	744	63	quanta	quanta	PROPN
ajset-575	744	64	,	,	PUNCT
ajset-575	744	65	ph.d	ph.d	PROPN
ajset-575	744	66	.	.	PUNCT
ajset-575	745	1	thesis	thesis	NOUN
ajset-575	745	2	,	,	PUNCT
ajset-575	745	3	university	university	PROPN
ajset-575	745	4	of	of	ADP
ajset-575	745	5	sorbonne	sorbonne	PROPN
ajset-575	745	6	,	,	PUNCT
ajset-575	745	7	paris	paris	PROPN
ajset-575	745	8	(	(	PUNCT
ajset-575	745	9	1924	1924	NUM
ajset-575	745	10	)	)	PUNCT
ajset-575	745	11	schrödinger	schrödinger	NOUN
ajset-575	745	12	,	,	PUNCT
ajset-575	745	13	e	e	NOUN
ajset-575	745	14	,	,	PUNCT
ajset-575	745	15	(	(	PUNCT
ajset-575	745	16	1930	1930	NUM
ajset-575	745	17	)	)	PUNCT
ajset-575	745	18	,	,	PUNCT
ajset-575	745	19	uber	uber	ADJ
ajset-575	745	20	die	die	VERB
ajset-575	745	21	kraftfreie	kraftfreie	NOUN
ajset-575	745	22	bewegung	bewegung	PROPN
ajset-575	745	23	in	in	ADP
ajset-575	745	24	der	der	ADJ
ajset-575	745	25	relativistischen	relativistischen	NOUN
ajset-575	745	26	quantenmechanik	quantenmechanik	X
ajset-575	745	27	,	,	PUNCT
ajset-575	745	28	sitzungb	sitzungb	ADJ
ajset-575	745	29	.	.	PUNCT
ajset-575	746	1	preuss	preuss	ADJ
ajset-575	746	2	.	.	PUNCT
ajset-575	746	3	akad	akad	PROPN
ajset-575	746	4	.	.	PUNCT
ajset-575	747	1	wiss	wiss	PROPN
ajset-575	747	2	.	.	PUNCT
ajset-575	748	1	phys.-math	phys.-math	PROPN
ajset-575	748	2	.	.	PUNCT
ajset-575	749	1	kl	kl	PROPN
ajset-575	749	2	.	.	PROPN
ajset-575	749	3	24	24	NUM
ajset-575	749	4	:	:	PUNCT
ajset-575	749	5	418	418	NUM
ajset-575	749	6	.	.	PUNCT
ajset-575	750	1	stenson	stenson	PROPN
ajset-575	750	2	,	,	PUNCT
ajset-575	750	3	jared	jared	PROPN
ajset-575	750	4	r.	r.	PROPN
ajset-575	750	5	,	,	PUNCT
ajset-575	750	6	representations	representation	NOUN
ajset-575	750	7	for	for	ADP
ajset-575	750	8	understanding	understand	VERB
ajset-575	750	9	the	the	DET
ajset-575	750	10	stern	stern	ADJ
ajset-575	750	11	-	-	PUNCT
ajset-575	750	12	gerlach	gerlach	PROPN
ajset-575	750	13	effect	effect	NOUN
ajset-575	750	14	,	,	PUNCT
ajset-575	750	15	thesis	thesis	NOUN
ajset-575	750	16	,	,	PUNCT
ajset-575	750	17	brigham	brigham	PROPN
ajset-575	750	18	young	young	PROPN
ajset-575	750	19	university	university	PROPN
ajset-575	750	20	,	,	PUNCT
ajset-575	750	21	august	august	PROPN
ajset-575	750	22	2005	2005	NUM
ajset-575	750	23	van	van	PROPN
ajset-575	750	24	huele	huele	PROPN
ajset-575	750	25	,	,	PUNCT
ajset-575	750	26	jean	jean	PROPN
ajset-575	750	27	-	-	PUNCT
ajset-575	750	28	francois	francois	PROPN
ajset-575	750	29	,	,	PUNCT
ajset-575	750	30	stern	stern	ADJ
ajset-575	750	31	,	,	PUNCT
ajset-575	750	32	barut	barut	NOUN
ajset-575	750	33	,	,	PUNCT
ajset-575	750	34	and	and	CCONJ
ajset-575	750	35	gerlach	gerlach	PROPN
ajset-575	750	36	today	today	NOUN
ajset-575	750	37	,	,	PUNCT
ajset-575	750	38	department	department	NOUN
ajset-575	750	39	of	of	ADP
ajset-575	750	40	physics	physics	PROPN
ajset-575	750	41	and	and	CCONJ
ajset-575	750	42	astronomy	astronomy	NOUN
ajset-575	750	43	,	,	PUNCT
ajset-575	750	44	brigham	brigham	PROPN
ajset-575	750	45	young	young	PROPN
ajset-575	750	46	university	university	NOUN
ajset-575	750	47	,	,	PUNCT
ajset-575	750	48	n151	n151	PROPN
ajset-575	750	49	esc	esc	NOUN
ajset-575	750	50	byu	byu	PROPN
ajset-575	750	51	provo	provo	PROPN
ajset-575	750	52	,	,	PUNCT
ajset-575	750	53	utah	utah	PROPN
ajset-575	750	54	84602	84602	NUM
ajset-575	750	55	-	-	SYM
ajset-575	750	56	4681	4681	NUM
ajset-575	750	57	e	e	NOUN
ajset-575	750	58	-	-	NOUN
ajset-575	750	59	mail	mail	NOUN
ajset-575	750	60	:	:	PUNCT
ajset-575	750	61	vanhuele@byu.edu	vanhuele@byu.edu	PROPN
ajset-575	750	62	(	(	PUNCT
ajset-575	750	63	received	receive	VERB
ajset-575	750	64	28	28	NUM
ajset-575	750	65	feb	feb	NOUN
ajset-575	750	66	2005	2005	NUM
ajset-575	750	67	)	)	PUNCT
ajset-575	750	68	references	reference	NOUN
ajset-575	750	69	ohanian	ohanian	ADJ
ajset-575	750	70	,	,	PUNCT
ajset-575	750	71	hans	hans	PROPN
ajset-575	750	72	c.	c.	PROPN
ajset-575	750	73	,	,	PUNCT
ajset-575	750	74	what	what	PRON
ajset-575	750	75	is	be	AUX
ajset-575	750	76	spin	spin	NOUN
ajset-575	750	77	?	?	PUNCT
ajset-575	750	78	,	,	PUNCT
ajset-575	750	79	rensselaer	rensselaer	PROPN
ajset-575	750	80	polytechnic	polytechnic	PROPN
ajset-575	750	81	institute	institute	PROPN
ajset-575	750	82	,	,	PUNCT
ajset-575	750	83	troy	troy	PROPN
ajset-575	750	84	ny	ny	PROPN
ajset-575	750	85	,	,	PUNCT
ajset-575	750	86	published	publish	VERB
ajset-575	750	87	may	may	AUX
ajset-575	750	88	1,1986	1,1986	PROPN
ajset-575	750	89	american	american	ADJ
ajset-575	750	90	journal	journal	PROPN
ajset-575	750	91	of	of	ADP
ajset-575	750	92	physics	physics	PROPN
ajset-575	750	93	(	(	PUNCT
ajset-575	750	94	54	54	NUM
ajset-575	750	95	)	)	PUNCT
ajset-575	750	96	6	6	NUM
ajset-575	750	97	dirac	dirac	NOUN
ajset-575	750	98	,	,	PUNCT
ajset-575	750	99	paul.a.m	paul.a.m	PROPN
ajset-575	750	100	.	.	PUNCT
ajset-575	750	101	dirac	dirac	NOUN
ajset-575	750	102	,	,	PUNCT
ajset-575	750	103	the	the	DET
ajset-575	750	104	quantum	quantum	ADJ
ajset-575	750	105	theory	theory	NOUN
ajset-575	750	106	of	of	ADP
ajset-575	750	107	the	the	DET
ajset-575	750	108	electron	electron	NOUN
ajset-575	750	109	,	,	PUNCT
ajset-575	750	110	published	publish	VERB
ajset-575	750	111	1	1	NUM
ajset-575	750	112	february	february	NOUN
ajset-575	750	113	1928.doi	1928.doi	NUM
ajset-575	750	114	:	:	PUNCT
ajset-575	750	115	10.1098	10.1098	NUM
ajset-575	750	116	/	/	SYM
ajset-575	750	117	rspa.1928.0023	rspa.1928.0023	NUM
ajset-575	750	118	http://rspa.royalsocietypublishing.org/content/117/778/610	http://rspa.royalsocietypublishing.org/content/117/778/610	PROPN
ajset-575	750	119	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	PROPN
ajset-575	750	120	academic	academic	ADJ
ajset-575	750	121	journal	journal	NOUN
ajset-575	750	122	of	of	ADP
ajset-575	750	123	science	science	NOUN
ajset-575	750	124	,	,	PUNCT
ajset-575	750	125	engineering	engineering	NOUN
ajset-575	750	126	and	and	CCONJ
ajset-575	750	127	technology	technology	NOUN
ajset-575	750	128	vol.6	vol.6	PROPN
ajset-575	750	129	,	,	PUNCT
ajset-575	750	130	issue	issue	NOUN
ajset-575	750	131	1	1	NUM
ajset-575	750	132	;	;	PUNCT
ajset-575	750	133	january	january	PROPN
ajset-575	750	134	febuary	febuary	PROPN
ajset-575	750	135	2021	2021	NUM
ajset-575	750	136	;	;	PUNCT
ajset-575	750	137	1252	1252	NUM
ajset-575	750	138	columbia	columbia	PROPN
ajset-575	750	139	rd	rd	PROPN
ajset-575	750	140	nw	nw	PROPN
ajset-575	750	141	,	,	PUNCT
ajset-575	750	142	washington	washington	PROPN
ajset-575	750	143	dc	dc	PROPN
ajset-575	750	144	,	,	PUNCT
ajset-575	750	145	united	united	PROPN
ajset-575	750	146	states	states	PROPN
ajset-575	750	147	https://topjournals.org/index.php/tajes/index	https://topjournals.org/index.php/tajes/index	PROPN
ajset-575	750	148	;	;	PUNCT
ajset-575	750	149	mail	mail	NOUN
ajset-575	750	150	:	:	PUNCT
ajset-575	750	151	topacademicjournals@gmail.com	topacademicjournals@gmail.com	X
ajset-575	750	152	82	82	NUM
ajset-575	751	1	|	|	ADV
ajset-575	751	2	a	a	DET
ajset-575	751	3	c	c	NOUN
ajset-575	751	4	a	a	PRON
ajset-575	751	5	d	d	X
ajset-575	751	6	e	e	NOUN
ajset-575	751	7	m	m	NOUN
ajset-575	751	8	i	i	NOUN
ajset-575	751	9	c	c	NOUN
ajset-575	751	10	j	j	NOUN
ajset-575	751	11	o	o	X
ajset-575	751	12	u	u	NOUN
ajset-575	751	13	r	r	NOUN
ajset-575	751	14	n	n	NOUN
ajset-575	751	15	a	a	DET
ajset-575	751	16	l	l	NOUN
ajset-575	752	1	o	o	X
ajset-575	752	2	f	f	X
ajset-575	752	3	s	s	X
ajset-575	752	4	c	c	NOUN
ajset-575	753	1	i	i	NOUN
ajset-575	753	2	e	e	PROPN
ajset-575	753	3	n	n	PROPN
ajset-575	753	4	c	c	NOUN
ajset-575	753	5	e	e	X
ajset-575	753	6	,	,	PUNCT
ajset-575	753	7	e	e	PROPN
ajset-575	753	8	n	n	PRON
ajset-575	753	9	g	g	NOUN
ajset-575	753	10	i	i	PRON
ajset-575	753	11	n	n	VERB
ajset-575	753	12	e	e	NOUN
ajset-575	753	13	e	e	NOUN
ajset-575	753	14	r	r	VERB
ajset-575	753	15	i	i	PRON
ajset-575	753	16	n	n	CCONJ
ajset-575	753	17	g	g	PROPN
ajset-575	753	18	a	a	DET
ajset-575	753	19	n	n	NOUN
ajset-575	753	20	d	d	NOUN
ajset-575	753	21	t	t	NOUN
ajset-575	753	22	e	e	X
ajset-575	753	23	c	c	NOUN
ajset-575	753	24	h	h	NOUN
ajset-575	753	25	n	n	ADV
ajset-575	753	26	o	o	NOUN
ajset-575	753	27	l	l	NOUN
ajset-575	754	1	o	o	X
ajset-575	754	2	g	g	NOUN
ajset-575	754	3	y	y	PROPN
ajset-575	754	4	|	|	ADV
ajset-575	754	5	https://topjournals.org/index.php/ajset	https://topjournals.org/index.php/ajset	VERB
ajset-575	754	6	straub	straub	PROPN
ajset-575	754	7	,	,	PUNCT
ajset-575	754	8	william	william	PROPN
ajset-575	754	9	o.	o.	PROPN
ajset-575	754	10	,	,	PUNCT
ajset-575	754	11	kaluza	kaluza	PROPN
ajset-575	754	12	-	-	PUNCT
ajset-575	754	13	klein	klein	PROPN
ajset-575	754	14	for	for	ADP
ajset-575	754	15	kids	kid	NOUN
ajset-575	754	16	,	,	PUNCT
ajset-575	754	17	pasadena	pasadena	PROPN
ajset-575	754	18	,	,	PUNCT
ajset-575	754	19	california	california	PROPN
ajset-575	754	20	,	,	PUNCT
ajset-575	754	21	91104	91104	NUM
ajset-575	754	22	,	,	PUNCT
ajset-575	754	23	june	june	PROPN
ajset-575	754	24	27	27	NUM
ajset-575	754	25	,	,	PUNCT
ajset-575	754	26	2014	2014	NUM
ajset-575	754	27	http://www.weylmann.com/kaluza.pdf	http://www.weylmann.com/kaluza.pdf	NOUN
ajset-575	754	28	toth	toth	PROPN
ajset-575	754	29	,	,	PUNCT
ajset-575	754	30	viktor	viktor	NOUN
ajset-575	754	31	t.	t.	PROPN
ajset-575	754	32	,	,	PUNCT
ajset-575	754	33	kaluza	kaluza	PROPN
ajset-575	754	34	-	-	PUNCT
ajset-575	754	35	klein	klein	PROPN
ajset-575	754	36	theory	theory	PROPN
ajset-575	754	37	,	,	PUNCT
ajset-575	754	38	http://www.vttoth.com/cms/physicsnotes/118-kaluza	http://www.vttoth.com/cms/physicsnotes/118-kaluza	NUM
ajset-575	754	39	,	,	PUNCT
ajset-575	754	40	december	december	PROPN
ajset-575	754	41	01	01	NUM
ajset-575	754	42	,	,	PUNCT
ajset-575	754	43	2004	2004	NUM
ajset-575	754	44	http://www.vttoth.com/cms/physics-notes/118-kaluza-klein-theory	http://www.vttoth.com/cms/physics-notes/118-kaluza-klein-theory	PROPN
ajset-575	754	45	kim	kim	PROPN
ajset-575	754	46	,	,	PUNCT
ajset-575	754	47	taehun	taehun	PROPN
ajset-575	754	48	and	and	CCONJ
ajset-575	754	49	hyunbyuk	hyunbyuk	PROPN
ajset-575	754	50	kim	kim	PROPN
ajset-575	754	51	,	,	PUNCT
ajset-575	754	52	electromagnetism	electromagnetism	NOUN
ajset-575	754	53	in	in	ADP
ajset-575	754	54	5	5	NUM
ajset-575	754	55	-	-	PUNCT
ajset-575	754	56	dimensional	dimensional	ADJ
ajset-575	754	57	manifold	manifold	ADJ
ajset-575	754	58	,	,	PUNCT
ajset-575	754	59	july	july	PROPN
ajset-575	754	60	12	12	NUM
ajset-575	754	61	2015	2015	NUM
ajset-575	754	62	arxiv:1507.03184v1	arxiv:1507.03184v1	NOUN
ajset-575	754	63	(	(	PUNCT
ajset-575	754	64	gr	gr	PROPN
ajset-575	754	65	-	-	PUNCT
ajset-575	754	66	qc	qc	NOUN
ajset-575	754	67	)	)	PUNCT
ajset-575	754	68	.	.	PUNCT
ajset-575	755	1	http://arxiv.org/abs/1507.03184	http://arxiv.org/abs/1507.03184	PROPN
ajset-575	755	2	williams	williams	PROPN
ajset-575	755	3	,	,	PUNCT
ajset-575	755	4	lance	lance	PROPN
ajset-575	755	5	l.	l.	PROPN
ajset-575	755	6	,	,	PUNCT
ajset-575	755	7	the	the	DET
ajset-575	755	8	nature	nature	NOUN
ajset-575	755	9	of	of	ADP
ajset-575	755	10	the	the	DET
ajset-575	755	11	5th	5th	ADJ
ajset-575	755	12	dimension	dimension	NOUN
ajset-575	755	13	in	in	ADP
ajset-575	755	14	classical	classical	ADJ
ajset-575	755	15	relativity	relativity	NOUN
ajset-575	755	16	,	,	PUNCT
ajset-575	755	17	konfluence	konfluence	NOUN
ajset-575	755	18	research	research	NOUN
ajset-575	755	19	,	,	PUNCT
ajset-575	755	20	man	man	NOUN
ajset-575	755	21	itou	itou	PROPN
ajset-575	755	22	springs	springs	PROPN
ajset-575	755	23	,	,	PUNCT
ajset-575	755	24	colorado	colorado	PROPN
ajset-575	755	25	719	719	NUM
ajset-575	755	26	-	-	PUNCT
ajset-575	755	27	685	685	NUM
ajset-575	755	28	-	-	PUNCT
ajset-575	755	29	1163;http://www.konfluence.org/	1163;http://www.konfluence.org/	NOUN
ajset-575	755	30	final_aipv	final_aipv	PROPN
ajset-575	755	31	1103p	1103p	NUM
ajset-575	755	32	243_1.pdf	243_1.pdf	NUM
ajset-575	755	33	hestenes	hestene	NOUN
ajset-575	755	34	,	,	PUNCT
ajset-575	755	35	d.	d.	PROPN
ajset-575	755	36	the	the	DET
ajset-575	755	37	zitterbewegung	zitterbewegung	PROPN
ajset-575	755	38	interpretation	interpretation	NOUN
ajset-575	755	39	of	of	ADP
ajset-575	755	40	quantum	quantum	ADJ
ajset-575	755	41	mechanics	mechanic	NOUN
ajset-575	755	42	,	,	PUNCT
ajset-575	755	43	found	find	VERB
ajset-575	755	44	.	.	PUNCT
ajset-575	756	1	phys	phy	NOUN
ajset-575	756	2	.	.	PUNCT
ajset-575	757	1	20	20	NUM
ajset-575	757	2	(	(	PUNCT
ajset-575	757	3	10	10	NUM
ajset-575	757	4	)	)	PUNCT
ajset-575	757	5	,	,	PUNCT
ajset-575	757	6	12131232	12131232	NUM
ajset-575	757	7	(	(	PUNCT
ajset-575	757	8	1990	1990	NUM
ajset-575	757	9	)	)	PUNCT
ajset-575	757	10	http://modelingnts.la.asu.edu/html/impl_qm.html	http://modelingnts.la.asu.edu/html/impl_qm.html	PROPN
ajset-575	758	1	gouaniere	gouaniere	PROPN
ajset-575	758	2	,	,	PUNCT
ajset-575	758	3	michel	michel	PROPN
ajset-575	758	4	et	et	PROPN
ajset-575	758	5	al	al	PROPN
ajset-575	758	6	,	,	PUNCT
ajset-575	758	7	(	(	PUNCT
ajset-575	758	8	2008	2008	NUM
ajset-575	758	9	)	)	PUNCT
ajset-575	758	10	,	,	PUNCT
ajset-575	758	11	a	a	DET
ajset-575	758	12	search	search	NOUN
ajset-575	758	13	for	for	ADP
ajset-575	758	14	the	the	DET
ajset-575	758	15	de	de	X
ajset-575	758	16	broglie	broglie	PROPN
ajset-575	758	17	particle	particle	NOUN
ajset-575	758	18	internal	internal	ADJ
ajset-575	758	19	clock	clock	NOUN
ajset-575	758	20	by	by	ADP
ajset-575	758	21	means	mean	NOUN
ajset-575	758	22	of	of	ADP
ajset-575	758	23	electron	electron	NOUN
ajset-575	758	24	channeling	channeling	NOUN
ajset-575	758	25	,	,	PUNCT
ajset-575	758	26	foundations	foundation	NOUN
ajset-575	758	27	of	of	ADP
ajset-575	758	28	physics	physics	NOUN
ajset-575	758	29	38	38	NUM
ajset-575	758	30	:	:	PUNCT
ajset-575	758	31	659	659	NUM
ajset-575	758	32	-	-	PUNCT
ajset-575	758	33	664	664	NUM
ajset-575	758	34	.	.	PUNCT
ajset-575	758	35	https://www.lnf.infn.it/acceleratori/public/btf_user/ricce/ricce.pdf	https://www.lnf.infn.it/acceleratori/public/btf_user/ricce/ricce.pdf	ADJ
ajset-575	758	36	emelyanov	emelyanov	NOUN
ajset-575	758	37	,	,	PUNCT
ajset-575	758	38	s.	s.	PROPN
ajset-575	758	39	a.	a.	PROPN
ajset-575	758	40	,	,	PUNCT
ajset-575	758	41	toward	toward	ADP
ajset-575	758	42	a	a	DET
ajset-575	758	43	real	real	ADJ
ajset-575	758	44	synthesis	synthesis	NOUN
ajset-575	758	45	of	of	ADP
ajset-575	758	46	quantum	quantum	NOUN
ajset-575	758	47	and	and	CCONJ
ajset-575	758	48	relativity	relativity	NOUN
ajset-575	758	49	theories	theory	NOUN
ajset-575	758	50	:	:	PUNCT
ajset-575	758	51	experimental	experimental	ADJ
ajset-575	758	52	evidence	evidence	NOUN
ajset-575	758	53	for	for	ADP
ajset-575	758	54	absolute	absolute	ADJ
ajset-575	758	55	simultaneity	simultaneity	NOUN
ajset-575	758	56	,	,	PUNCT
ajset-575	758	57	division	division	NOUN
ajset-575	758	58	of	of	ADP
ajset-575	758	59	solid	solid	ADJ
ajset-575	758	60	state	state	NOUN
ajset-575	758	61	electronics	electronic	NOUN
ajset-575	758	62	,	,	PUNCT
ajset-575	758	63	ioffe	ioffe	PROPN
ajset-575	758	64	institute	institute	PROPN
ajset-575	758	65	,	,	PUNCT
ajset-575	758	66	194021	194021	NUM
ajset-575	758	67	st	st	PROPN
ajset-575	758	68	.	.	PROPN
ajset-575	758	69	petersburg	petersburg	PROPN
ajset-575	758	70	,	,	PUNCT
ajset-575	758	71	russia	russia	PROPN
ajset-575	758	72	dice2012	dice2012	PROPN
ajset-575	758	73	iop	iop	NOUN
ajset-575	758	74	publishing	publishing	NOUN
ajset-575	758	75	,	,	PUNCT
ajset-575	758	76	journal	journal	NOUN
ajset-575	758	77	of	of	ADP
ajset-575	758	78	physics	physics	PROPN
ajset-575	758	79	:	:	PUNCT
ajset-575	758	80	conference	conference	NOUN
ajset-575	758	81	series	series	NOUN
ajset-575	758	82	442	442	NUM
ajset-575	758	83	(	(	PUNCT
ajset-575	758	84	2013	2013	NUM
ajset-575	758	85	)	)	PUNCT
ajset-575	758	86	012035	012035	NUM
ajset-575	758	87	doi:10.1088/17426596/442/1/012035	doi:10.1088/17426596/442/1/012035	PROPN
ajset-575	758	88	houston	houston	PROPN
ajset-575	758	89	,	,	PUNCT
ajset-575	758	90	louis	louis	PROPN
ajset-575	758	91	m.	m.	NOUN
ajset-575	758	92	,	,	PUNCT
ajset-575	758	93	the	the	DET
ajset-575	758	94	physics	physics	NOUN
ajset-575	758	95	of	of	ADP
ajset-575	758	96	a	a	DET
ajset-575	758	97	rotating	rotate	VERB
ajset-575	758	98	de	de	X
ajset-575	758	99	broglie	broglie	PROPN
ajset-575	758	100	wave	wave	NOUN
ajset-575	758	101	packet	packet	NOUN
ajset-575	758	102	,	,	PUNCT
ajset-575	758	103	the	the	DET
ajset-575	758	104	louisiana	louisiana	PROPN
ajset-575	758	105	accelerator	accelerator	PROPN
ajset-575	758	106	center	center	PROPN
ajset-575	758	107	,	,	PUNCT
ajset-575	758	108	the	the	DET
ajset-575	758	109	university	university	NOUN
ajset-575	758	110	of	of	ADP
ajset-575	758	111	louisiana	louisiana	PROPN
ajset-575	758	112	at	at	ADP
ajset-575	758	113	lafayette	lafayette	PROPN
ajset-575	758	114	,	,	PUNCT
ajset-575	758	115	ijesit	ijesit	VERB
ajset-575	758	116	vol	vol	NOUN
ajset-575	758	117	2	2	NUM
ajset-575	758	118	,	,	PUNCT
ajset-575	758	119	issue	issue	NOUN
ajset-575	758	120	6	6	NUM
ajset-575	758	121	,	,	PUNCT
ajset-575	758	122	november	november	PROPN
ajset-575	758	123	2013	2013	NUM
ajset-575	758	124	http://www.ijesit.com/volume%202/issue%206/ijesit201306_78.pdf	http://www.ijesit.com/volume%202/issue%206/ijesit201306_78.pdf	PROPN
ajset-575	758	125	close	close	ADV
ajset-575	758	126	,	,	PUNCT
ajset-575	758	127	r.	r.	PROPN
ajset-575	758	128	a.	a.	PROPN
ajset-575	758	129	,	,	PUNCT
ajset-575	758	130	classical	classical	ADJ
ajset-575	758	131	wave	wave	NOUN
ajset-575	758	132	description	description	NOUN
ajset-575	758	133	of	of	ADP
ajset-575	758	134	electrons	electron	NOUN
ajset-575	758	135	,	,	PUNCT
ajset-575	758	136	2015	2015	NUM
ajset-575	758	137	07	07	NUM
ajset-575	758	138	29	29	NUM
ajset-575	758	139	http://www.classicalmatter.org/classical	http://www.classicalmatter.org/classical	ADJ
ajset-575	758	140	electron.html	electron.html	PROPN
ajset-575	758	141	2015	2015	NUM
ajset-575	758	142	-	-	SYM
ajset-575	758	143	07	07	NUM
ajset-575	758	144	-	-	PUNCT
ajset-575	758	145	29	29	NUM
ajset-575	758	146	mailto:topacademicjournals@gmail.com	mailto:topacademicjournals@gmail.com	X