id	sid	tid	token	lemma	pos
cana-6327	1	1	communications	communication	NOUN
cana-6327	1	2	on	on	ADP
cana-6327	1	3	applied	apply	VERB
cana-6327	1	4	nonlinear	nonlinear	ADJ
cana-6327	1	5	analysis	analysis	NOUN
cana-6327	1	6	issn	issn	NOUN
cana-6327	1	7	:	:	PUNCT
cana-6327	1	8	1074	1074	NUM
cana-6327	1	9	-	-	PUNCT
cana-6327	1	10	133x	133x	NUM
cana-6327	1	11	vol	vol	NOUN
cana-6327	1	12	31	31	NUM
cana-6327	1	13	no	no	NOUN
cana-6327	1	14	.	.	PUNCT
cana-6327	2	1	8s	8s	PROPN
cana-6327	2	2	(	(	PUNCT
cana-6327	2	3	2024	2024	NUM
cana-6327	2	4	)	)	PUNCT
cana-6327	2	5	1253	1253	NUM
cana-6327	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	2	7	a	a	DET
cana-6327	2	8	study	study	NOUN
cana-6327	2	9	of	of	ADP
cana-6327	2	10	a	a	DET
cana-6327	2	11	modified	modify	VERB
cana-6327	2	12	equation	equation	NOUN
cana-6327	2	13	of	of	ADP
cana-6327	2	14	state	state	NOUN
cana-6327	2	15	in	in	ADP
cana-6327	2	16	(	(	PUNCT
cana-6327	2	17	2	2	NUM
cana-6327	2	18	+	+	NOUN
cana-6327	2	19	1)-dimensional	1)-dimensional	ADJ
cana-6327	2	20	holographic	holographic	ADJ
cana-6327	2	21	cosmology	cosmology	NOUN
cana-6327	2	22	s.	s.	PROPN
cana-6327	2	23	g.	g.	PROPN
cana-6327	2	24	ghodmare1	ghodmare1	PROPN
cana-6327	2	25	,	,	PUNCT
cana-6327	2	26	k.	k.	PROPN
cana-6327	3	1	p.	p.	NOUN
cana-6327	3	2	pande2	pande2	PROPN
cana-6327	4	1	1department	1department	NUM
cana-6327	4	2	of	of	ADP
cana-6327	4	3	mathematics	mathematic	NOUN
cana-6327	4	4	,	,	PUNCT
cana-6327	4	5	rashtrasant	rashtrasant	ADJ
cana-6327	4	6	tukadoji	tukadoji	PROPN
cana-6327	4	7	maharaj	maharaj	PROPN
cana-6327	4	8	nagpur	nagpur	PROPN
cana-6327	4	9	university	university	PROPN
cana-6327	4	10	,	,	PUNCT
cana-6327	4	11	nagpur	nagpur	PROPN
cana-6327	4	12	,	,	PUNCT
cana-6327	4	13	maharashtra	maharashtra	PROPN
cana-6327	4	14	,	,	PUNCT
cana-6327	4	15	440033	440033	NUM
cana-6327	4	16	,	,	PUNCT
cana-6327	4	17	india	india	PROPN
cana-6327	4	18	2department	2department	PROPN
cana-6327	4	19	of	of	ADP
cana-6327	4	20	mathematics	mathematic	NOUN
cana-6327	4	21	,	,	PUNCT
cana-6327	4	22	vmv	vmv	PROPN
cana-6327	4	23	commerce	commerce	PROPN
cana-6327	4	24	,	,	PUNCT
cana-6327	4	25	jmt	jmt	PROPN
cana-6327	4	26	arts	arts	PROPN
cana-6327	4	27	and	and	CCONJ
cana-6327	4	28	jjp	jjp	PROPN
cana-6327	4	29	science	science	PROPN
cana-6327	4	30	college	college	PROPN
cana-6327	4	31	,	,	PUNCT
cana-6327	4	32	nagpur	nagpur	PROPN
cana-6327	4	33	,	,	PUNCT
cana-6327	4	34	maharashtra	maharashtra	PROPN
cana-6327	4	35	,	,	PUNCT
cana-6327	4	36	440008	440008	NUM
cana-6327	4	37	,	,	PUNCT
cana-6327	4	38	india	india	PROPN
cana-6327	4	39	1	1	NUM
cana-6327	4	40	e	e	NOUN
cana-6327	4	41	-	-	NOUN
cana-6327	4	42	mail	mail	NOUN
cana-6327	4	43	:	:	PUNCT
cana-6327	5	1	sushghodmare26@gmail.com	sushghodmare26@gmail.com	X
cana-6327	5	2	2	2	NUM
cana-6327	5	3	e	e	NOUN
cana-6327	5	4	-	-	NOUN
cana-6327	5	5	mail	mail	NOUN
cana-6327	5	6	:	:	PUNCT
cana-6327	6	1	kalpanappande@gmail.com	kalpanappande@gmail.com	X
cana-6327	6	2	article	article	NOUN
cana-6327	6	3	history	history	NOUN
cana-6327	6	4	:	:	PUNCT
cana-6327	6	5	received	receive	VERB
cana-6327	6	6	:	:	PUNCT
cana-6327	6	7	04	04	NUM
cana-6327	6	8	-	-	SYM
cana-6327	6	9	10	10	NUM
cana-6327	6	10	-	-	PUNCT
cana-6327	6	11	2024	2024	NUM
cana-6327	6	12	revised	revise	VERB
cana-6327	6	13	:	:	PUNCT
cana-6327	6	14	23	23	NUM
cana-6327	6	15	-	-	SYM
cana-6327	6	16	11	11	NUM
cana-6327	6	17	-	-	PUNCT
cana-6327	6	18	2024	2024	NUM
cana-6327	6	19	accepted	accept	VERB
cana-6327	6	20	:	:	PUNCT
cana-6327	6	21	26	26	NUM
cana-6327	6	22	-	-	SYM
cana-6327	6	23	12	12	NUM
cana-6327	6	24	-	-	PUNCT
cana-6327	6	25	2024	2024	NUM
cana-6327	6	26	abstract	abstract	NOUN
cana-6327	6	27	:	:	PUNCT
cana-6327	6	28	objectives	objective	NOUN
cana-6327	6	29	:	:	PUNCT
cana-6327	6	30	this	this	DET
cana-6327	6	31	study	study	NOUN
cana-6327	6	32	examines	examine	VERB
cana-6327	6	33	the	the	DET
cana-6327	6	34	validity	validity	NOUN
cana-6327	6	35	of	of	ADP
cana-6327	6	36	the	the	DET
cana-6327	6	37	cosmic	cosmic	ADJ
cana-6327	6	38	holographic	holographic	ADJ
cana-6327	6	39	principle	principle	NOUN
cana-6327	6	40	in	in	ADP
cana-6327	6	41	closed	closed	ADJ
cana-6327	6	42	(	(	PUNCT
cana-6327	6	43	2	2	NUM
cana-6327	6	44	+	+	PROPN
cana-6327	6	45	1)-dimensional	1)-dimensional	PROPN
cana-6327	6	46	frw	frw	NOUN
cana-6327	6	47	models	model	NOUN
cana-6327	6	48	using	use	VERB
cana-6327	6	49	a	a	DET
cana-6327	6	50	modified	modify	VERB
cana-6327	6	51	equation	equation	NOUN
cana-6327	6	52	of	of	ADP
cana-6327	6	53	state	state	NOUN
cana-6327	6	54	p	p	X
cana-6327	6	55	=	=	PROPN
cana-6327	6	56	ωρ+λ	ωρ+λ	PROPN
cana-6327	6	57	with	with	ADP
cana-6327	6	58	λ	λ	NOUN
cana-6327	6	59	=	=	NOUN
cana-6327	6	60	αρ	αρ	NOUN
cana-6327	6	61	.	.	PUNCT
cana-6327	7	1	it	it	PRON
cana-6327	7	2	aims	aim	VERB
cana-6327	7	3	to	to	PART
cana-6327	7	4	determine	determine	VERB
cana-6327	7	5	whether	whether	SCONJ
cana-6327	7	6	such	such	ADJ
cana-6327	7	7	modifications	modification	NOUN
cana-6327	7	8	can	can	AUX
cana-6327	7	9	ensure	ensure	VERB
cana-6327	7	10	holographic	holographic	ADJ
cana-6327	7	11	compliance	compliance	NOUN
cana-6327	7	12	.	.	PUNCT
cana-6327	8	1	ultimately	ultimately	ADV
cana-6327	8	2	,	,	PUNCT
cana-6327	8	3	the	the	DET
cana-6327	8	4	work	work	NOUN
cana-6327	8	5	highlights	highlight	VERB
cana-6327	8	6	how	how	SCONJ
cana-6327	8	7	spatial	spatial	ADJ
cana-6327	8	8	curvature	curvature	NOUN
cana-6327	8	9	and	and	CCONJ
cana-6327	8	10	global	global	ADJ
cana-6327	8	11	topology	topology	NOUN
cana-6327	8	12	critically	critically	ADV
cana-6327	8	13	influence	influence	VERB
cana-6327	8	14	the	the	DET
cana-6327	8	15	applicability	applicability	NOUN
cana-6327	8	16	of	of	ADP
cana-6327	8	17	holographic	holographic	ADJ
cana-6327	8	18	bounds	bound	NOUN
cana-6327	8	19	.	.	PUNCT
cana-6327	9	1	methods	method	NOUN
cana-6327	9	2	:	:	PUNCT
cana-6327	9	3	using	use	VERB
cana-6327	9	4	a	a	DET
cana-6327	9	5	modified	modify	VERB
cana-6327	9	6	equation	equation	NOUN
cana-6327	9	7	of	of	ADP
cana-6327	9	8	state	state	NOUN
cana-6327	9	9	p	p	X
cana-6327	9	10	=	=	PROPN
cana-6327	9	11	ωρ+λ	ωρ+λ	PROPN
cana-6327	9	12	,	,	PUNCT
cana-6327	9	13	with	with	ADP
cana-6327	9	14	λ	λ	NOUN
cana-6327	9	15	=	=	NOUN
cana-6327	9	16	αρ	αρ	NOUN
cana-6327	9	17	,	,	PUNCT
cana-6327	9	18	we	we	PRON
cana-6327	9	19	investigate	investigate	VERB
cana-6327	9	20	a	a	DET
cana-6327	9	21	closed	closed	ADJ
cana-6327	9	22	(	(	PUNCT
cana-6327	9	23	2	2	NUM
cana-6327	9	24	+	+	PROPN
cana-6327	9	25	1)-dimensional	1)-dimensional	PROPN
cana-6327	9	26	frw	frw	PROPN
cana-6327	9	27	cosmological	cosmological	ADJ
cana-6327	9	28	model	model	NOUN
cana-6327	9	29	under	under	ADP
cana-6327	9	30	the	the	DET
cana-6327	9	31	susskind	susskind	NOUN
cana-6327	9	32	-	-	PUNCT
cana-6327	9	33	fischler	fischler	NOUN
cana-6327	9	34	holographic	holographic	ADJ
cana-6327	9	35	principle	principle	NOUN
cana-6327	9	36	.	.	PUNCT
cana-6327	10	1	we	we	PRON
cana-6327	10	2	compare	compare	VERB
cana-6327	10	3	the	the	DET
cana-6327	10	4	results	result	NOUN
cana-6327	10	5	with	with	ADP
cana-6327	10	6	flat	flat	ADJ
cana-6327	10	7	and	and	CCONJ
cana-6327	10	8	open	open	ADJ
cana-6327	10	9	models	model	NOUN
cana-6327	10	10	,	,	PUNCT
cana-6327	10	11	highlighting	highlight	VERB
cana-6327	10	12	the	the	DET
cana-6327	10	13	influence	influence	NOUN
cana-6327	10	14	of	of	ADP
cana-6327	10	15	topology	topology	NOUN
cana-6327	10	16	and	and	CCONJ
cana-6327	10	17	spatial	spatial	ADJ
cana-6327	10	18	curvature	curvature	NOUN
cana-6327	10	19	,	,	PUNCT
cana-6327	10	20	to	to	PART
cana-6327	10	21	determine	determine	VERB
cana-6327	10	22	whether	whether	SCONJ
cana-6327	10	23	this	this	DET
cana-6327	10	24	density	density	NOUN
cana-6327	10	25	-	-	PUNCT
cana-6327	10	26	dependent	dependent	ADJ
cana-6327	10	27	term	term	NOUN
cana-6327	10	28	is	be	AUX
cana-6327	10	29	consistent	consistent	ADJ
cana-6327	10	30	with	with	ADP
cana-6327	10	31	holographic	holographic	ADJ
cana-6327	10	32	bounds	bound	NOUN
cana-6327	10	33	for	for	ADP
cana-6327	10	34	closed	closed	ADJ
cana-6327	10	35	geometries	geometry	NOUN
cana-6327	10	36	.	.	PUNCT
cana-6327	11	1	results	result	NOUN
cana-6327	11	2	:	:	PUNCT
cana-6327	11	3	consistent	consistent	ADJ
cana-6327	11	4	with	with	ADP
cana-6327	11	5	(	(	PUNCT
cana-6327	11	6	3	3	NUM
cana-6327	11	7	+	+	NOUN
cana-6327	11	8	1)-dimensional	1)-dimensional	ADJ
cana-6327	11	9	results	result	NOUN
cana-6327	11	10	,	,	PUNCT
cana-6327	11	11	our	our	PRON
cana-6327	11	12	analysis	analysis	NOUN
cana-6327	11	13	demonstrates	demonstrate	VERB
cana-6327	11	14	that	that	SCONJ
cana-6327	11	15	cosmic	cosmic	ADJ
cana-6327	11	16	holographic	holographic	ADJ
cana-6327	11	17	bounds	bound	NOUN
cana-6327	11	18	are	be	AUX
cana-6327	11	19	satisfied	satisfied	ADJ
cana-6327	11	20	by	by	ADP
cana-6327	11	21	flat	flat	ADJ
cana-6327	11	22	and	and	CCONJ
cana-6327	11	23	open	open	ADJ
cana-6327	11	24	(	(	PUNCT
cana-6327	11	25	2	2	NUM
cana-6327	11	26	+	+	NOUN
cana-6327	11	27	1)-dimensional	1)-dimensional	PROPN
cana-6327	11	28	frw	frw	NOUN
cana-6327	11	29	universes	universe	NOUN
cana-6327	11	30	.	.	PUNCT
cana-6327	12	1	even	even	ADV
cana-6327	12	2	with	with	ADP
cana-6327	12	3	a	a	DET
cana-6327	12	4	density	density	NOUN
cana-6327	12	5	-	-	PUNCT
cana-6327	12	6	dependent	dependent	ADJ
cana-6327	12	7	cosmological	cosmological	ADJ
cana-6327	12	8	constant	constant	ADJ
cana-6327	12	9	(	(	PUNCT
cana-6327	12	10	λ	λ	X
cana-6327	12	11	=	=	SYM
cana-6327	12	12	αρ	αρ	PROPN
cana-6327	12	13	)	)	PUNCT
cana-6327	12	14	,	,	PUNCT
cana-6327	12	15	closed	close	VERB
cana-6327	12	16	geometries	geometry	NOUN
cana-6327	12	17	defy	defy	VERB
cana-6327	12	18	these	these	DET
cana-6327	12	19	limits	limit	NOUN
cana-6327	12	20	.	.	PUNCT
cana-6327	13	1	this	this	DET
cana-6327	13	2	persistent	persistent	ADJ
cana-6327	13	3	violation	violation	NOUN
cana-6327	13	4	identifies	identify	VERB
cana-6327	13	5	closed	closed	ADJ
cana-6327	13	6	models	model	NOUN
cana-6327	13	7	from	from	ADP
cana-6327	13	8	flat	flat	ADJ
cana-6327	13	9	or	or	CCONJ
cana-6327	13	10	open	open	ADJ
cana-6327	13	11	ones	one	NOUN
cana-6327	13	12	,	,	PUNCT
cana-6327	13	13	indicating	indicate	VERB
cana-6327	13	14	that	that	SCONJ
cana-6327	13	15	holographic	holographic	ADJ
cana-6327	13	16	validity	validity	NOUN
cana-6327	13	17	is	be	AUX
cana-6327	13	18	determined	determine	VERB
cana-6327	13	19	by	by	ADP
cana-6327	13	20	spatial	spatial	ADJ
cana-6327	13	21	curvature	curvature	NOUN
cana-6327	13	22	and	and	CCONJ
cana-6327	13	23	global	global	ADJ
cana-6327	13	24	topology	topology	NOUN
cana-6327	13	25	rather	rather	ADV
cana-6327	13	26	than	than	ADP
cana-6327	13	27	matter	matter	VERB
cana-6327	13	28	content	content	NOUN
cana-6327	13	29	or	or	CCONJ
cana-6327	13	30	parameterization	parameterization	NOUN
cana-6327	13	31	.	.	PUNCT
cana-6327	14	1	conclusion	conclusion	NOUN
cana-6327	14	2	:	:	PUNCT
cana-6327	14	3	our	our	PRON
cana-6327	14	4	analysis	analysis	NOUN
cana-6327	14	5	demonstrates	demonstrate	VERB
cana-6327	14	6	that	that	SCONJ
cana-6327	14	7	,	,	PUNCT
cana-6327	14	8	even	even	ADV
cana-6327	14	9	in	in	ADP
cana-6327	14	10	the	the	DET
cana-6327	14	11	presence	presence	NOUN
cana-6327	14	12	of	of	ADP
cana-6327	14	13	a	a	DET
cana-6327	14	14	densitydependent	densitydependent	NOUN
cana-6327	14	15	cosmological	cosmological	ADJ
cana-6327	14	16	constant	constant	ADJ
cana-6327	14	17	,	,	PUNCT
cana-6327	14	18	the	the	DET
cana-6327	14	19	cosmic	cosmic	ADJ
cana-6327	14	20	holographic	holographic	ADJ
cana-6327	14	21	principle	principle	NOUN
cana-6327	14	22	fails	fail	VERB
cana-6327	14	23	in	in	ADP
cana-6327	14	24	closed	closed	ADJ
cana-6327	14	25	geometries	geometry	NOUN
cana-6327	14	26	but	but	CCONJ
cana-6327	14	27	is	be	AUX
cana-6327	14	28	valid	valid	ADJ
cana-6327	14	29	for	for	ADP
cana-6327	14	30	flat	flat	ADJ
cana-6327	14	31	and	and	CCONJ
cana-6327	14	32	open	open	ADJ
cana-6327	14	33	(	(	PUNCT
cana-6327	14	34	2	2	NUM
cana-6327	14	35	+	+	NOUN
cana-6327	14	36	1)-dimensional	1)-dimensional	PROPN
cana-6327	14	37	frw	frw	NOUN
cana-6327	14	38	universes	universe	NOUN
cana-6327	14	39	.	.	PUNCT
cana-6327	15	1	this	this	DET
cana-6327	15	2	persistent	persistent	ADJ
cana-6327	15	3	violation	violation	NOUN
cana-6327	15	4	shows	show	VERB
cana-6327	15	5	that	that	SCONJ
cana-6327	15	6	holographic	holographic	ADJ
cana-6327	15	7	applicability	applicability	NOUN
cana-6327	15	8	is	be	AUX
cana-6327	15	9	determined	determine	VERB
cana-6327	15	10	by	by	ADP
cana-6327	15	11	global	global	ADJ
cana-6327	15	12	topology	topology	NOUN
cana-6327	15	13	and	and	CCONJ
cana-6327	15	14	spatial	spatial	ADJ
cana-6327	15	15	curvature	curvature	NOUN
cana-6327	15	16	rather	rather	ADV
cana-6327	15	17	than	than	ADP
cana-6327	15	18	by	by	ADP
cana-6327	15	19	content	content	NOUN
cana-6327	15	20	or	or	CCONJ
cana-6327	15	21	parameterization	parameterization	NOUN
cana-6327	15	22	.	.	PUNCT
cana-6327	16	1	the	the	DET
cana-6327	16	2	findings	finding	NOUN
cana-6327	16	3	highlight	highlight	VERB
cana-6327	16	4	the	the	DET
cana-6327	16	5	inherent	inherent	ADJ
cana-6327	16	6	limitations	limitation	NOUN
cana-6327	16	7	imposed	impose	VERB
cana-6327	16	8	by	by	ADP
cana-6327	16	9	topological	topological	ADJ
cana-6327	16	10	closure	closure	NOUN
cana-6327	16	11	,	,	PUNCT
cana-6327	16	12	thereby	thereby	ADV
cana-6327	16	13	reaffirming	reaffirm	VERB
cana-6327	16	14	the	the	DET
cana-6327	16	15	essential	essential	ADJ
cana-6327	16	16	function	function	NOUN
cana-6327	16	17	of	of	ADP
cana-6327	16	18	geometry	geometry	NOUN
cana-6327	16	19	in	in	ADP
cana-6327	16	20	holographic	holographic	ADJ
cana-6327	16	21	descriptions	description	NOUN
cana-6327	16	22	.	.	PUNCT
cana-6327	17	1	keywords	keyword	NOUN
cana-6327	17	2	:	:	PUNCT
cana-6327	17	3	dark	dark	ADJ
cana-6327	17	4	energy	energy	NOUN
cana-6327	17	5	,	,	PUNCT
cana-6327	17	6	the	the	DET
cana-6327	17	7	holographic	holographic	ADJ
cana-6327	17	8	principle	principle	NOUN
cana-6327	17	9	,	,	PUNCT
cana-6327	17	10	(	(	PUNCT
cana-6327	17	11	2	2	NUM
cana-6327	17	12	+	+	NOUN
cana-6327	17	13	1)-dimensional	1)-dimensional	ADJ
cana-6327	17	14	gravity	gravity	NOUN
cana-6327	17	15	,	,	PUNCT
cana-6327	17	16	cosmology	cosmology	NOUN
cana-6327	17	17	,	,	PUNCT
cana-6327	17	18	modified	modify	VERB
cana-6327	17	19	frw	frw	PROPN
cana-6327	17	20	cosmology	cosmology	PROPN
cana-6327	17	21	1	1	NUM
cana-6327	17	22	.	.	PUNCT
cana-6327	17	23	introduction	introduction	NOUN
cana-6327	17	24	as	as	SCONJ
cana-6327	17	25	is	be	AUX
cana-6327	17	26	well	well	ADV
cana-6327	17	27	known	know	VERB
cana-6327	17	28	,	,	PUNCT
cana-6327	17	29	two	two	NUM
cana-6327	17	30	liquid	liquid	ADJ
cana-6327	17	31	cosmological	cosmological	ADJ
cana-6327	17	32	models	model	NOUN
cana-6327	17	33	in	in	ADP
cana-6327	17	34	[	[	X
cana-6327	17	35	1	1	NUM
cana-6327	17	36	]	]	PUNCT
cana-6327	17	37	,	,	PUNCT
cana-6327	17	38	the	the	DET
cana-6327	17	39	saez	saez	PROPN
cana-6327	17	40	-	-	PUNCT
cana-6327	17	41	ballester	ballester	NOUN
cana-6327	17	42	scalar	scalar	ADJ
cana-6327	17	43	-	-	PUNCT
cana-6327	17	44	tensor	tensor	NOUN
cana-6327	17	45	theory	theory	NOUN
cana-6327	17	46	of	of	ADP
cana-6327	17	47	gravity	gravity	NOUN
cana-6327	17	48	in	in	ADP
cana-6327	17	49	(	(	PUNCT
cana-6327	17	50	2	2	NUM
cana-6327	17	51	+	+	NUM
cana-6327	17	52	1	1	NUM
cana-6327	17	53	)	)	PUNCT
cana-6327	17	54	dimensions	dimension	NOUN
cana-6327	17	55	is	be	AUX
cana-6327	17	56	examined	examine	VERB
cana-6327	17	57	with	with	ADP
cana-6327	17	58	matter	matter	NOUN
cana-6327	17	59	and	and	CCONJ
cana-6327	17	60	radiating	radiate	VERB
cana-6327	17	61	source	source	NOUN
cana-6327	17	62	.	.	PUNCT
cana-6327	18	1	the	the	DET
cana-6327	18	2	cmb	cmb	PROPN
cana-6327	18	3	radiation	radiation	NOUN
cana-6327	18	4	is	be	AUX
cana-6327	18	5	reflected	reflect	VERB
cana-6327	18	6	by	by	ADP
cana-6327	18	7	a	a	DET
cana-6327	18	8	single	single	ADJ
cana-6327	18	9	fluid	fluid	NOUN
cana-6327	18	10	in	in	ADP
cana-6327	18	11	the	the	DET
cana-6327	18	12	two	two	NUM
cana-6327	18	13	-	-	PUNCT
cana-6327	18	14	fold	fold	ADJ
cana-6327	18	15	fluid	fluid	ADJ
cana-6327	18	16	model	model	NOUN
cana-6327	18	17	,	,	PUNCT
cana-6327	18	18	since	since	SCONJ
cana-6327	18	19	the	the	DET
cana-6327	18	20	universe	universe	NOUN
cana-6327	18	21	’s	’s	PART
cana-6327	18	22	structure	structure	NOUN
cana-6327	18	23	composition	composition	NOUN
cana-6327	18	24	is	be	AUX
cana-6327	18	25	demonstrated	demonstrate	VERB
cana-6327	18	26	by	by	ADP
cana-6327	18	27	different	different	ADJ
cana-6327	18	28	fluid	fluid	NOUN
cana-6327	18	29	.	.	PUNCT
cana-6327	19	1	the	the	DET
cana-6327	19	2	difficult	difficult	ADJ
cana-6327	19	3	nature	nature	NOUN
cana-6327	19	4	of	of	ADP
cana-6327	19	5	two	two	NUM
cana-6327	19	6	-	-	PUNCT
cana-6327	19	7	dimensional	dimensional	ADJ
cana-6327	19	8	models	model	NOUN
cana-6327	19	9	enables	enable	VERB
cana-6327	19	10	them	they	PRON
cana-6327	19	11	complicated	complicated	ADJ
cana-6327	19	12	to	to	PART
cana-6327	19	13	function	function	VERB
cana-6327	19	14	with	with	ADP
cana-6327	19	15	.	.	PUNCT
cana-6327	20	1	it	it	PRON
cana-6327	20	2	is	be	AUX
cana-6327	20	3	only	only	ADV
cana-6327	20	4	possible	possible	ADJ
cana-6327	20	5	for	for	SCONJ
cana-6327	20	6	two	two	NUM
cana-6327	20	7	-	-	PUNCT
cana-6327	20	8	dimensional	dimensional	ADJ
cana-6327	20	9	models	model	NOUN
cana-6327	20	10	efficiently	efficiently	ADV
cana-6327	20	11	work	work	VERB
cana-6327	20	12	out	out	ADP
cana-6327	20	13	in	in	ADP
cana-6327	20	14	separable	separable	ADJ
cana-6327	20	15	-	-	PUNCT
cana-6327	20	16	denominator	denominator	NOUN
cana-6327	20	17	form	form	NOUN
cana-6327	20	18	when	when	SCONJ
cana-6327	20	19	there	there	PRON
cana-6327	20	20	are	be	VERB
cana-6327	20	21	separated	separate	VERB
cana-6327	20	22	into	into	ADP
cana-6327	20	23	two	two	NUM
cana-6327	20	24	submodels	submodel	NOUN
cana-6327	20	25	.	.	PUNCT
cana-6327	21	1	the	the	DET
cana-6327	21	2	separable	separable	ADJ
cana-6327	21	3	-	-	PUNCT
cana-6327	21	4	denominator	denominator	NOUN
cana-6327	21	5	form	form	NOUN
cana-6327	21	6	must	must	AUX
cana-6327	21	7	meet	meet	VERB
cana-6327	21	8	conditions	condition	NOUN
cana-6327	21	9	of	of	ADP
cana-6327	21	10	the	the	DET
cana-6327	21	11	lowest	low	ADJ
cana-6327	21	12	rankdecomposition	rankdecomposition	NOUN
cana-6327	21	13	in	in	ADP
cana-6327	21	14	order	order	NOUN
cana-6327	21	15	to	to	PART
cana-6327	21	16	decompose	decompose	VERB
cana-6327	21	17	the	the	DET
cana-6327	21	18	two	two	NUM
cana-6327	21	19	-	-	PUNCT
cana-6327	21	20	dimensional	dimensional	ADJ
cana-6327	21	21	model	model	NOUN
cana-6327	21	22	into	into	ADP
cana-6327	21	23	two	two	NUM
cana-6327	21	24	sub	sub	NOUN
cana-6327	21	25	-	-	NOUN
cana-6327	21	26	models	model	NOUN
cana-6327	21	27	.	.	PUNCT
cana-6327	22	1	sans	san	NOUN
cana-6327	22	2	employing	employ	VERB
cana-6327	22	3	separable	separable	ADJ
cana-6327	22	4	-	-	PUNCT
cana-6327	22	5	denominator	denominator	NOUN
cana-6327	22	6	form	form	NOUN
cana-6327	22	7	or	or	CCONJ
cana-6327	22	8	minimal	minimal	ADJ
cana-6327	22	9	rank	rank	NOUN
cana-6327	22	10	-	-	PUNCT
cana-6327	22	11	decomposition	decomposition	NOUN
cana-6327	22	12	needs	need	NOUN
cana-6327	22	13	,	,	PUNCT
cana-6327	22	14	this	this	DET
cana-6327	22	15	research	research	NOUN
cana-6327	22	16	paper	paper	NOUN
cana-6327	22	17	signifies	signify	VERB
cana-6327	22	18	a	a	DET
cana-6327	22	19	changed	change	VERB
cana-6327	22	20	shift	shift	NOUN
cana-6327	22	21	that	that	PRON
cana-6327	22	22	generate	generate	VERB
cana-6327	22	23	a	a	DET
cana-6327	22	24	two	two	NUM
cana-6327	22	25	-	-	PUNCT
cana-6327	22	26	dimensional	dimensional	ADJ
cana-6327	22	27	decoupled	decouple	VERB
cana-6327	22	28	model	model	NOUN
cana-6327	22	29	form	form	NOUN
cana-6327	22	30	from	from	ADP
cana-6327	22	31	mailto:sushghodmare26@gmail.com	mailto:sushghodmare26@gmail.com	PROPN
cana-6327	22	32	mailto:kalpanappande@gmail.com	mailto:kalpanappande@gmail.com	PROPN
cana-6327	22	33	communications	communication	NOUN
cana-6327	22	34	on	on	ADP
cana-6327	22	35	applied	apply	VERB
cana-6327	22	36	nonlinear	nonlinear	ADJ
cana-6327	22	37	analysis	analysis	NOUN
cana-6327	22	38	issn	issn	NOUN
cana-6327	22	39	:	:	PUNCT
cana-6327	22	40	1074	1074	NUM
cana-6327	22	41	-	-	PUNCT
cana-6327	22	42	133x	133x	NUM
cana-6327	22	43	vol	vol	NOUN
cana-6327	22	44	31	31	NUM
cana-6327	22	45	no	no	NOUN
cana-6327	22	46	.	.	PUNCT
cana-6327	23	1	8s	8s	PROPN
cana-6327	23	2	(	(	PUNCT
cana-6327	23	3	2024	2024	NUM
cana-6327	23	4	)	)	PUNCT
cana-6327	23	5	1254	1254	NUM
cana-6327	23	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	24	1	the	the	DET
cana-6327	24	2	initial	initial	ADJ
cana-6327	24	3	two	two	NUM
cana-6327	24	4	-	-	PUNCT
cana-6327	24	5	dimensional	dimensional	ADJ
cana-6327	24	6	general	general	ADJ
cana-6327	24	7	model	model	NOUN
cana-6327	24	8	,	,	PUNCT
cana-6327	24	9	which	which	PRON
cana-6327	24	10	consequently	consequently	ADV
cana-6327	24	11	divides	divide	VERB
cana-6327	24	12	into	into	ADP
cana-6327	24	13	two	two	NUM
cana-6327	24	14	cascaded	cascade	VERB
cana-6327	24	15	onedimensional	onedimensional	ADJ
cana-6327	24	16	models	model	NOUN
cana-6327	24	17	,	,	PUNCT
cana-6327	24	18	or	or	CCONJ
cana-6327	24	19	two	two	NUM
cana-6327	24	20	one	one	NUM
cana-6327	24	21	-	-	PUNCT
cana-6327	24	22	dimensional	dimensional	ADJ
cana-6327	24	23	sub	sub	NOUN
cana-6327	24	24	-	-	NOUN
cana-6327	24	25	models	model	NOUN
cana-6327	24	26	[	[	X
cana-6327	24	27	2	2	NUM
cana-6327	24	28	]	]	PUNCT
cana-6327	24	29	.	.	PUNCT
cana-6327	25	1	we	we	PRON
cana-6327	25	2	understand	understand	VERB
cana-6327	25	3	that	that	SCONJ
cana-6327	25	4	the	the	DET
cana-6327	25	5	formula	formula	NOUN
cana-6327	25	6	𝑆	𝑆	PROPN
cana-6327	25	7	=	=	SYM
cana-6327	25	8	𝐴	𝐴	PROPN
cana-6327	25	9	⁄	⁄	ADP
cana-6327	25	10	4	4	NUM
cana-6327	25	11	is	be	AUX
cana-6327	25	12	largely	largely	ADV
cana-6327	25	13	employed	employ	VERB
cana-6327	25	14	to	to	PART
cana-6327	25	15	state	state	VERB
cana-6327	25	16	a	a	DET
cana-6327	25	17	black	black	ADJ
cana-6327	25	18	hole	hole	NOUN
cana-6327	25	19	's	's	PART
cana-6327	25	20	energy	energy	NOUN
cana-6327	25	21	as	as	ADP
cana-6327	25	22	a	a	DET
cana-6327	25	23	function	function	NOUN
cana-6327	25	24	of	of	ADP
cana-6327	25	25	the	the	DET
cana-6327	25	26	event	event	NOUN
cana-6327	25	27	horizon	horizon	PROPN
cana-6327	25	28	's	's	PART
cana-6327	25	29	area	area	NOUN
cana-6327	25	30	.	.	PUNCT
cana-6327	26	1	this	this	DET
cana-6327	26	2	inseparable	inseparable	ADJ
cana-6327	26	3	corelation	corelation	NOUN
cana-6327	26	4	could	could	AUX
cana-6327	26	5	be	be	AUX
cana-6327	26	6	formed	form	VERB
cana-6327	26	7	as	as	ADP
cana-6327	26	8	signalling	signal	VERB
cana-6327	26	9	that	that	SCONJ
cana-6327	26	10	a	a	DET
cana-6327	26	11	black	black	ADJ
cana-6327	26	12	hole	hole	NOUN
cana-6327	26	13	's	's	PART
cana-6327	26	14	perimeter	perimeter	NOUN
cana-6327	26	15	stores	store	NOUN
cana-6327	26	16	all	all	PRON
cana-6327	26	17	of	of	ADP
cana-6327	26	18	its	its	PRON
cana-6327	26	19	degrees	degree	NOUN
cana-6327	26	20	of	of	ADP
cana-6327	26	21	freedom	freedom	NOUN
cana-6327	26	22	.	.	PUNCT
cana-6327	27	1	the	the	DET
cana-6327	27	2	understanding	understanding	NOUN
cana-6327	27	3	that	that	PRON
cana-6327	27	4	a	a	DET
cana-6327	27	5	physical	physical	ADJ
cana-6327	27	6	system	system	NOUN
cana-6327	27	7	's	's	PART
cana-6327	27	8	comprehensive	comprehensive	ADJ
cana-6327	27	9	structures	structure	NOUN
cana-6327	27	10	can	can	AUX
cana-6327	27	11	be	be	AUX
cana-6327	27	12	found	find	VERB
cana-6327	27	13	onto	onto	ADP
cana-6327	27	14	its	its	PRON
cana-6327	27	15	border	border	NOUN
cana-6327	27	16	in	in	ADP
cana-6327	27	17	quantum	quantum	ADJ
cana-6327	27	18	gravity	gravity	NOUN
cana-6327	27	19	under	under	ADP
cana-6327	27	20	unique	unique	ADJ
cana-6327	27	21	conditions	condition	NOUN
cana-6327	27	22	has	have	AUX
cana-6327	27	23	long	long	ADV
cana-6327	27	24	been	be	AUX
cana-6327	27	25	pursued	pursue	VERB
cana-6327	27	26	in	in	ADP
cana-6327	27	27	an	an	DET
cana-6327	27	28	endeavour	endeavour	NOUN
cana-6327	27	29	to	to	PART
cana-6327	27	30	expand	expand	VERB
cana-6327	27	31	this	this	DET
cana-6327	27	32	interconnectedness	interconnectedness	NOUN
cana-6327	27	33	to	to	ADP
cana-6327	27	34	more	more	ADJ
cana-6327	27	35	solutions	solution	NOUN
cana-6327	27	36	in	in	ADP
cana-6327	27	37	gravity	gravity	NOUN
cana-6327	27	38	.	.	PUNCT
cana-6327	28	1	we	we	PRON
cana-6327	28	2	refer	refer	VERB
cana-6327	28	3	to	to	ADP
cana-6327	28	4	this	this	PRON
cana-6327	28	5	as	as	ADP
cana-6327	28	6	the	the	DET
cana-6327	28	7	holographic	holographic	ADJ
cana-6327	28	8	principle	principle	NOUN
cana-6327	28	9	[	[	X
cana-6327	28	10	3,4	3,4	NUM
cana-6327	28	11	]	]	PUNCT
cana-6327	28	12	.	.	PUNCT
cana-6327	29	1	a	a	DET
cana-6327	29	2	lot	lot	NOUN
cana-6327	29	3	of	of	ADP
cana-6327	29	4	interest	interest	NOUN
cana-6327	29	5	has	have	AUX
cana-6327	29	6	largely	largely	ADV
cana-6327	29	7	been	be	AUX
cana-6327	29	8	generated	generate	VERB
cana-6327	29	9	in	in	ADP
cana-6327	29	10	the	the	DET
cana-6327	29	11	research	research	NOUN
cana-6327	29	12	of	of	ADP
cana-6327	29	13	gravitational	gravitational	ADJ
cana-6327	29	14	theories	theory	NOUN
cana-6327	29	15	other	other	ADJ
cana-6327	29	16	than	than	ADP
cana-6327	29	17	the	the	DET
cana-6327	29	18	four	four	NUM
cana-6327	29	19	.	.	PUNCT
cana-6327	30	1	although	although	SCONJ
cana-6327	30	2	there	there	PRON
cana-6327	30	3	are	be	VERB
cana-6327	30	4	many	many	ADJ
cana-6327	30	5	other	other	ADJ
cana-6327	30	6	factors	factor	NOUN
cana-6327	30	7	for	for	ADP
cana-6327	30	8	this	this	DET
cana-6327	30	9	,	,	PUNCT
cana-6327	30	10	quantum	quantum	NOUN
cana-6327	30	11	gravity	gravity	NOUN
cana-6327	30	12	,	,	PUNCT
cana-6327	30	13	grand	grand	ADJ
cana-6327	30	14	unfiled	unfiled	ADJ
cana-6327	30	15	theory	theory	NOUN
cana-6327	30	16	,	,	PUNCT
cana-6327	30	17	and	and	CCONJ
cana-6327	30	18	string	string	NOUN
cana-6327	30	19	theory	theory	NOUN
cana-6327	30	20	facilitate	facilitate	VERB
cana-6327	30	21	them	they	PRON
cana-6327	30	22	to	to	PART
cana-6327	30	23	sustain	sustain	VERB
cana-6327	30	24	the	the	DET
cana-6327	30	25	main	main	ADJ
cana-6327	30	26	driving	driving	NOUN
cana-6327	30	27	forces	force	NOUN
cana-6327	30	28	.	.	PUNCT
cana-6327	31	1	for	for	ADP
cana-6327	31	2	example	example	NOUN
cana-6327	31	3	,	,	PUNCT
cana-6327	31	4	the	the	DET
cana-6327	31	5	weyl	weyl	VERB
cana-6327	31	6	curvature	curvature	NOUN
cana-6327	31	7	is	be	AUX
cana-6327	31	8	exactly	exactly	ADV
cana-6327	31	9	zero	zero	NUM
cana-6327	31	10	,	,	PUNCT
cana-6327	31	11	the	the	DET
cana-6327	31	12	weak	weak	ADJ
cana-6327	31	13	field	field	NOUN
cana-6327	31	14	limit	limit	NOUN
cana-6327	31	15	of	of	ADP
cana-6327	31	16	the	the	DET
cana-6327	31	17	three	three	NUM
cana-6327	31	18	-	-	PUNCT
cana-6327	31	19	space	space	NOUN
cana-6327	31	20	-	-	PUNCT
cana-6327	31	21	time	time	NOUN
cana-6327	31	22	general	general	ADJ
cana-6327	31	23	theory	theory	NOUN
cana-6327	31	24	of	of	ADP
cana-6327	31	25	relativity	relativity	NOUN
cana-6327	31	26	does	do	AUX
cana-6327	31	27	not	not	PART
cana-6327	31	28	match	match	VERB
cana-6327	31	29	newtonian	newtonian	ADJ
cana-6327	31	30	gravity	gravity	NOUN
cana-6327	31	31	in	in	ADP
cana-6327	31	32	(	(	PUNCT
cana-6327	31	33	2	2	NUM
cana-6327	31	34	+	+	NOUN
cana-6327	31	35	1)-dimensions	1)-dimension	NOUN
cana-6327	31	36	,	,	PUNCT
cana-6327	31	37	the	the	DET
cana-6327	31	38	absence	absence	NOUN
cana-6327	31	39	of	of	ADP
cana-6327	31	40	black	black	ADJ
cana-6327	31	41	holes	hole	NOUN
cana-6327	31	42	and	and	CCONJ
cana-6327	31	43	gravitational	gravitational	ADJ
cana-6327	31	44	waves	wave	NOUN
cana-6327	31	45	in	in	ADP
cana-6327	31	46	the	the	DET
cana-6327	31	47	absence	absence	NOUN
cana-6327	31	48	of	of	ADP
cana-6327	31	49	a	a	DET
cana-6327	31	50	negative	negative	ADJ
cana-6327	31	51	cosmological	cosmological	ADJ
cana-6327	31	52	constant	constant	ADJ
cana-6327	31	53	,	,	PUNCT
cana-6327	31	54	and	and	CCONJ
cana-6327	31	55	many	many	ADJ
cana-6327	31	56	other	other	ADJ
cana-6327	31	57	special	special	ADJ
cana-6327	31	58	simplifying	simplifying	NOUN
cana-6327	31	59	characteristics	characteristic	NOUN
cana-6327	31	60	.	.	PUNCT
cana-6327	32	1	the	the	DET
cana-6327	32	2	structure	structure	NOUN
cana-6327	32	3	of	of	ADP
cana-6327	32	4	universal	universal	ADJ
cana-6327	32	5	relativistic	relativistic	ADJ
cana-6327	32	6	gravity	gravity	NOUN
cana-6327	32	7	in	in	ADP
cana-6327	32	8	(	(	PUNCT
cana-6327	32	9	2	2	NUM
cana-6327	32	10	+	+	NOUN
cana-6327	32	11	1)dimensional	1)dimensional	NUM
cana-6327	32	12	spacetime	spacetime	NOUN
cana-6327	32	13	has	have	AUX
cana-6327	32	14	been	be	AUX
cana-6327	32	15	investigated	investigate	VERB
cana-6327	32	16	in	in	ADP
cana-6327	32	17	a	a	DET
cana-6327	32	18	number	number	NOUN
cana-6327	32	19	of	of	ADP
cana-6327	32	20	research	research	NOUN
cana-6327	32	21	[	[	X
cana-6327	32	22	5–7	5–7	NOUN
cana-6327	32	23	]	]	PUNCT
cana-6327	32	24	.	.	PUNCT
cana-6327	33	1	(	(	PUNCT
cana-6327	33	2	2	2	NUM
cana-6327	33	3	+	+	NOUN
cana-6327	33	4	1)-gravity	1)-gravity	PROPN
cana-6327	33	5	is	be	AUX
cana-6327	33	6	an	an	DET
cana-6327	33	7	especially	especially	ADV
cana-6327	33	8	intriguing	intriguing	ADJ
cana-6327	33	9	instance	instance	NOUN
cana-6327	33	10	to	to	PART
cana-6327	33	11	explore	explore	VERB
cana-6327	33	12	because	because	SCONJ
cana-6327	33	13	of	of	ADP
cana-6327	33	14	the	the	DET
cana-6327	33	15	unique	unique	ADJ
cana-6327	33	16	characteristics	characteristic	NOUN
cana-6327	33	17	of	of	ADP
cana-6327	33	18	einstein	einstein	PROPN
cana-6327	33	19	's	's	PART
cana-6327	33	20	field	field	NOUN
cana-6327	33	21	equations	equation	NOUN
cana-6327	33	22	in	in	ADP
cana-6327	33	23	two	two	NUM
cana-6327	33	24	space	space	NOUN
cana-6327	33	25	and	and	CCONJ
cana-6327	33	26	one	one	NUM
cana-6327	33	27	time	time	NOUN
cana-6327	33	28	dimension	dimension	NOUN
cana-6327	33	29	.	.	PUNCT
cana-6327	34	1	as	as	SCONJ
cana-6327	34	2	signified	signify	VERB
cana-6327	34	3	by	by	ADP
cana-6327	34	4	quantum	quantum	ADJ
cana-6327	34	5	field	field	NOUN
cana-6327	34	6	theory	theory	NOUN
cana-6327	34	7	,	,	PUNCT
cana-6327	34	8	lower	lower	ADV
cana-6327	34	9	-	-	PUNCT
cana-6327	34	10	dimensional	dimensional	ADJ
cana-6327	34	11	systems	system	NOUN
cana-6327	34	12	are	be	AUX
cana-6327	34	13	always	always	ADV
cana-6327	34	14	researched	research	VERB
cana-6327	34	15	in	in	ADP
cana-6327	34	16	physical	physical	ADJ
cana-6327	34	17	systems	system	NOUN
cana-6327	34	18	,	,	PUNCT
cana-6327	34	19	and	and	CCONJ
cana-6327	34	20	applying	apply	VERB
cana-6327	34	21	this	this	DET
cana-6327	34	22	method	method	NOUN
cana-6327	34	23	to	to	ADP
cana-6327	34	24	gravity	gravity	NOUN
cana-6327	34	25	produces	produce	VERB
cana-6327	34	26	highly	highly	ADV
cana-6327	34	27	qualitative	qualitative	ADJ
cana-6327	34	28	and	and	CCONJ
cana-6327	34	29	insightful	insightful	ADJ
cana-6327	34	30	results	result	NOUN
cana-6327	34	31	.	.	PUNCT
cana-6327	35	1	it	it	PRON
cana-6327	35	2	is	be	AUX
cana-6327	35	3	predicated	predicate	VERB
cana-6327	35	4	that	that	SCONJ
cana-6327	35	5	(	(	PUNCT
cana-6327	35	6	2	2	NUM
cana-6327	35	7	+	+	NOUN
cana-6327	35	8	1)gravity	1)gravity	PROPN
cana-6327	35	9	will	will	AUX
cana-6327	35	10	produce	produce	VERB
cana-6327	35	11	unique	unique	ADJ
cana-6327	35	12	outlook	outlook	NOUN
cana-6327	35	13	for	for	ADP
cana-6327	35	14	understanding	understand	VERB
cana-6327	35	15	the	the	DET
cana-6327	35	16	physically	physically	ADV
cana-6327	35	17	importance	importance	NOUN
cana-6327	35	18	of	of	ADP
cana-6327	35	19	(	(	PUNCT
cana-6327	35	20	3	3	NUM
cana-6327	35	21	+	+	NOUN
cana-6327	35	22	1)gravity	1)gravity	NUM
cana-6327	35	23	[	[	X
cana-6327	35	24	8	8	NUM
cana-6327	35	25	]	]	PUNCT
cana-6327	35	26	.	.	PUNCT
cana-6327	36	1	[	[	X
cana-6327	36	2	9	9	NUM
cana-6327	36	3	]	]	PUNCT
cana-6327	36	4	achieved	achieve	VERB
cana-6327	36	5	a	a	DET
cana-6327	36	6	particular	particular	ADJ
cana-6327	36	7	extension	extension	NOUN
cana-6327	36	8	of	of	ADP
cana-6327	36	9	the	the	DET
cana-6327	36	10	holographic	holographic	ADJ
cana-6327	36	11	principle	principle	NOUN
cana-6327	36	12	to	to	ADP
cana-6327	36	13	cosmology	cosmology	NOUN
cana-6327	36	14	.	.	PUNCT
cana-6327	37	1	numerous	numerous	ADJ
cana-6327	37	2	endeavours	endeavour	NOUN
cana-6327	37	3	have	have	AUX
cana-6327	37	4	been	be	AUX
cana-6327	37	5	made	make	VERB
cana-6327	37	6	to	to	PART
cana-6327	37	7	apply	apply	VERB
cana-6327	37	8	various	various	ADJ
cana-6327	37	9	holographic	holographic	ADJ
cana-6327	37	10	principle	principle	ADJ
cana-6327	37	11	formulations	formulation	NOUN
cana-6327	37	12	to	to	ADP
cana-6327	37	13	different	different	ADJ
cana-6327	37	14	cosmological	cosmological	ADJ
cana-6327	37	15	models	model	NOUN
cana-6327	37	16	[	[	X
cana-6327	37	17	10–13	10–13	NUM
cana-6327	37	18	]	]	PUNCT
cana-6327	37	19	.	.	PUNCT
cana-6327	38	1	fischler	fischler	NOUN
cana-6327	38	2	and	and	CCONJ
cana-6327	38	3	susskind	susskind	NOUN
cana-6327	38	4	proposed	propose	VERB
cana-6327	38	5	a	a	DET
cana-6327	38	6	particular	particular	ADJ
cana-6327	38	7	realization	realization	NOUN
cana-6327	38	8	.	.	PUNCT
cana-6327	39	1	their	their	PRON
cana-6327	39	2	proposal	proposal	NOUN
cana-6327	39	3	's	's	PART
cana-6327	39	4	unique	unique	ADJ
cana-6327	39	5	feature	feature	NOUN
cana-6327	39	6	is	be	AUX
cana-6327	39	7	that	that	SCONJ
cana-6327	39	8	the	the	DET
cana-6327	39	9	principle	principle	NOUN
cana-6327	39	10	of	of	ADP
cana-6327	39	11	holography	holography	NOUN
cana-6327	39	12	holds	hold	VERB
cana-6327	39	13	true	true	ADJ
cana-6327	39	14	for	for	ADP
cana-6327	39	15	both	both	CCONJ
cana-6327	39	16	open	open	ADJ
cana-6327	39	17	and	and	CCONJ
cana-6327	39	18	flat	flat	ADJ
cana-6327	39	19	universes	universe	NOUN
cana-6327	39	20	whose	whose	DET
cana-6327	39	21	state	state	NOUN
cana-6327	39	22	equation	equation	NOUN
cana-6327	39	23	satisfies	satisfy	VERB
cana-6327	39	24	the	the	DET
cana-6327	39	25	requirements	requirement	NOUN
cana-6327	39	26	0	0	NUM
cana-6327	39	27	≤	≤	NUM
cana-6327	39	28	𝑝	𝑝	PROPN
cana-6327	39	29	≤	≤	NUM
cana-6327	39	30	𝜌.	𝜌.	NOUN
cana-6327	39	31	the	the	DET
cana-6327	39	32	principle	principle	NOUN
cana-6327	39	33	is	be	AUX
cana-6327	39	34	separated	separate	VERB
cana-6327	39	35	for	for	ADP
cana-6327	39	36	the	the	DET
cana-6327	39	37	closed	closed	ADJ
cana-6327	39	38	universe	universe	NOUN
cana-6327	39	39	,	,	PUNCT
cana-6327	39	40	though	though	ADV
cana-6327	39	41	.	.	PUNCT
cana-6327	40	1	understanding	understand	VERB
cana-6327	40	2	the	the	DET
cana-6327	40	3	cosmos	cosmo	NOUN
cana-6327	40	4	with	with	ADP
cana-6327	40	5	a	a	DET
cana-6327	40	6	negative	negative	ADJ
cana-6327	40	7	cosmic	cosmic	ADJ
cana-6327	40	8	constant	constant	ADJ
cana-6327	40	9	makes	make	VERB
cana-6327	40	10	the	the	DET
cana-6327	40	11	issue	issue	NOUN
cana-6327	40	12	more	more	ADV
cana-6327	40	13	tougher	tough	ADJ
cana-6327	40	14	and	and	CCONJ
cana-6327	40	15	complicated	complicated	ADJ
cana-6327	40	16	[	[	X
cana-6327	40	17	13	13	NUM
cana-6327	40	18	]	]	PUNCT
cana-6327	40	19	.	.	PUNCT
cana-6327	41	1	irrespective	irrespective	ADV
cana-6327	41	2	of	of	ADP
cana-6327	41	3	matter	matter	ADV
cana-6327	41	4	whether	whether	SCONJ
cana-6327	41	5	the	the	DET
cana-6327	41	6	cosmos	cosmo	NOUN
cana-6327	41	7	is	be	AUX
cana-6327	41	8	even	even	ADV
cana-6327	41	9	,	,	PUNCT
cana-6327	41	10	open	open	ADJ
cana-6327	41	11	,	,	PUNCT
cana-6327	41	12	or	or	CCONJ
cana-6327	41	13	closed	close	VERB
cana-6327	41	14	,	,	PUNCT
cana-6327	41	15	the	the	DET
cana-6327	41	16	holographic	holographic	ADJ
cana-6327	41	17	principle	principle	NOUN
cana-6327	41	18	does	do	AUX
cana-6327	41	19	not	not	PART
cana-6327	41	20	succeed	succeed	VERB
cana-6327	41	21	in	in	ADP
cana-6327	41	22	that	that	DET
cana-6327	41	23	scenario	scenario	NOUN
cana-6327	41	24	.	.	PUNCT
cana-6327	42	1	the	the	DET
cana-6327	42	2	pre	pre	ADJ
cana-6327	42	3	-	-	ADJ
cana-6327	42	4	big	big	ADJ
cana-6327	42	5	bang	bang	NOUN
cana-6327	42	6	theory	theory	NOUN
cana-6327	42	7	was	be	AUX
cana-6327	42	8	studied	study	VERB
cana-6327	42	9	employing	employ	VERB
cana-6327	42	10	the	the	DET
cana-6327	42	11	holographic	holographic	ADJ
cana-6327	42	12	consideration	consideration	NOUN
cana-6327	43	1	[	[	X
cana-6327	43	2	14	14	NUM
cana-6327	43	3	]	]	PUNCT
cana-6327	43	4	,	,	PUNCT
cana-6327	43	5	and	and	CCONJ
cana-6327	43	6	relied	rely	VERB
cana-6327	43	7	on	on	ADP
cana-6327	43	8	this	this	DET
cana-6327	43	9	investigation	investigation	NOUN
cana-6327	43	10	,	,	PUNCT
cana-6327	43	11	it	it	PRON
cana-6327	43	12	was	be	AUX
cana-6327	43	13	stated	state	VERB
cana-6327	43	14	that	that	SCONJ
cana-6327	43	15	the	the	DET
cana-6327	43	16	theory	theory	NOUN
cana-6327	43	17	solves	solve	VERB
cana-6327	43	18	the	the	DET
cana-6327	43	19	entropy	entropy	PROPN
cana-6327	43	20	problem	problem	NOUN
cana-6327	43	21	in	in	ADP
cana-6327	43	22	prebig	prebig	PROPN
cana-6327	43	23	bang	bang	PROPN
cana-6327	43	24	theory	theory	NOUN
cana-6327	43	25	,	,	PUNCT
cana-6327	43	26	which	which	PRON
cana-6327	43	27	is	be	AUX
cana-6327	43	28	in	in	ADP
cana-6327	43	29	divergent	divergent	ADJ
cana-6327	43	30	with	with	ADP
cana-6327	43	31	the	the	DET
cana-6327	43	32	findings	finding	NOUN
cana-6327	43	33	of	of	ADP
cana-6327	43	34	[	[	X
cana-6327	43	35	12	12	NUM
cana-6327	43	36	]	]	PUNCT
cana-6327	43	37	.	.	PUNCT
cana-6327	44	1	a	a	DET
cana-6327	44	2	lot	lot	NOUN
cana-6327	44	3	of	of	ADP
cana-6327	44	4	work	work	NOUN
cana-6327	44	5	has	have	AUX
cana-6327	44	6	been	be	AUX
cana-6327	44	7	made	make	VERB
cana-6327	44	8	on	on	ADP
cana-6327	44	9	extended	extended	ADJ
cana-6327	44	10	gravity	gravity	NOUN
cana-6327	44	11	over	over	ADP
cana-6327	44	12	the	the	DET
cana-6327	44	13	last	last	ADJ
cana-6327	44	14	ten	ten	NUM
cana-6327	44	15	years	year	NOUN
cana-6327	44	16	[	[	X
cana-6327	44	17	15	15	NUM
cana-6327	44	18	-	-	SYM
cana-6327	44	19	20	20	NUM
cana-6327	44	20	]	]	PUNCT
cana-6327	44	21	,	,	PUNCT
cana-6327	44	22	incorporating	incorporate	VERB
cana-6327	44	23	constantly	constantly	ADV
cana-6327	44	24	changing	change	VERB
cana-6327	44	25	the	the	DET
cana-6327	44	26	equation	equation	NOUN
cana-6327	44	27	of	of	ADP
cana-6327	44	28	state	state	NOUN
cana-6327	44	29	or	or	CCONJ
cana-6327	44	30	adding	add	VERB
cana-6327	44	31	the	the	DET
cana-6327	44	32	so	so	ADV
cana-6327	44	33	-	-	PUNCT
cana-6327	44	34	called	call	VERB
cana-6327	44	35	dark	dark	ADJ
cana-6327	44	36	energy	energy	NOUN
cana-6327	44	37	to	to	PART
cana-6327	44	38	illustrate	illustrate	VERB
cana-6327	44	39	the	the	DET
cana-6327	44	40	studied	studied	ADJ
cana-6327	44	41	cosmic	cosmic	ADJ
cana-6327	44	42	acceleration	acceleration	NOUN
cana-6327	44	43	.	.	PUNCT
cana-6327	45	1	the	the	DET
cana-6327	45	2	generally	generally	ADV
cana-6327	45	3	validated	validate	VERB
cana-6327	45	4	equation	equation	NOUN
cana-6327	45	5	of	of	ADP
cana-6327	45	6	state	state	NOUN
cana-6327	45	7	for	for	ADP
cana-6327	45	8	dark	dark	ADJ
cana-6327	45	9	energy	energy	NOUN
cana-6327	45	10	is	be	AUX
cana-6327	45	11	𝑝	𝑝	NOUN
cana-6327	45	12	=	=	SYM
cana-6327	45	13	𝜔𝜌	𝜔𝜌	PROPN
cana-6327	45	14	,	,	PUNCT
cana-6327	45	15	where	where	SCONJ
cana-6327	45	16	𝜔	𝜔	X
cana-6327	45	17	<	<	X
cana-6327	45	18	0	0	NUM
cana-6327	45	19	is	be	AUX
cana-6327	45	20	hydrodynamically	hydrodynamically	ADV
cana-6327	45	21	not	not	PART
cana-6327	45	22	constant	constant	ADJ
cana-6327	45	23	.	.	PUNCT
cana-6327	46	1	a	a	DET
cana-6327	46	2	more	more	ADV
cana-6327	46	3	general	general	ADJ
cana-6327	46	4	form	form	NOUN
cana-6327	46	5	of	of	ADP
cana-6327	46	6	a	a	DET
cana-6327	46	7	linear	linear	ADJ
cana-6327	46	8	equation	equation	NOUN
cana-6327	46	9	of	of	ADP
cana-6327	46	10	state	state	NOUN
cana-6327	46	11	,	,	PUNCT
cana-6327	46	12	𝑝	𝑝	NOUN
cana-6327	46	13	=	=	SYM
cana-6327	46	14	𝛼(𝜌	𝛼(𝜌	PROPN
cana-6327	46	15	−	−	NOUN
cana-6327	46	16	𝜌0	𝜌0	NUM
cana-6327	46	17	)	)	PUNCT
cana-6327	46	18	,	,	PUNCT
cana-6327	46	19	where	where	SCONJ
cana-6327	46	20	𝛼	𝛼	PRON
cana-6327	46	21	and	and	CCONJ
cana-6327	46	22	𝜌0	𝜌0	PROPN
cana-6327	46	23	are	be	AUX
cana-6327	46	24	constants	constant	NOUN
cana-6327	46	25	,	,	PUNCT
cana-6327	46	26	is	be	AUX
cana-6327	46	27	proposed	propose	VERB
cana-6327	46	28	by	by	ADP
cana-6327	46	29	[	[	X
cana-6327	46	30	21	21	NUM
cana-6327	46	31	]	]	PUNCT
cana-6327	46	32	to	to	PART
cana-6327	46	33	get	get	VERB
cana-6327	46	34	around	around	ADP
cana-6327	46	35	the	the	DET
cana-6327	46	36	problem	problem	NOUN
cana-6327	46	37	of	of	ADP
cana-6327	46	38	hydrodynamic	hydrodynamic	ADJ
cana-6327	46	39	instability	instability	NOUN
cana-6327	46	40	.	.	PUNCT
cana-6327	47	1	both	both	DET
cana-6327	47	2	hydrodynamically	hydrodynamically	PROPN
cana-6327	47	3	stable	stable	ADJ
cana-6327	47	4	(	(	PUNCT
cana-6327	47	5	𝛼	𝛼	X
cana-6327	47	6	>	>	X
cana-6327	47	7	0	0	NUM
cana-6327	47	8	)	)	PUNCT
cana-6327	47	9	and	and	CCONJ
cana-6327	47	10	unstable	unstable	ADJ
cana-6327	47	11	𝛼	𝛼	X
cana-6327	47	12	<	<	X
cana-6327	47	13	0	0	NUM
cana-6327	47	14	)	)	PUNCT
cana-6327	47	15	fluids	fluid	NOUN
cana-6327	47	16	are	be	AUX
cana-6327	47	17	described	describe	VERB
cana-6327	47	18	by	by	ADP
cana-6327	47	19	this	this	DET
cana-6327	47	20	non	non	ADJ
cana-6327	47	21	-	-	ADJ
cana-6327	47	22	homogeneous	homogeneous	ADJ
cana-6327	47	23	linear	linear	ADJ
cana-6327	47	24	equation	equation	NOUN
cana-6327	47	25	of	of	ADP
cana-6327	47	26	state	state	NOUN
cana-6327	47	27	.	.	PUNCT
cana-6327	48	1	the	the	DET
cana-6327	48	2	linear	linear	PROPN
cana-6327	48	3	model	model	NOUN
cana-6327	48	4	in	in	ADP
cana-6327	48	5	question	question	NOUN
cana-6327	48	6	is	be	AUX
cana-6327	48	7	deceased	deceased	ADJ
cana-6327	48	8	to	to	ADP
cana-6327	48	9	the	the	DET
cana-6327	48	10	𝜔	𝜔	NOUN
cana-6327	48	11	=	=	PUNCT
cana-6327	48	12	𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡	𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡	NOUN
cana-6327	48	13	linear	linear	VERB
cana-6327	48	14	perfect	perfect	ADJ
cana-6327	48	15	fluid	fluid	NOUN
cana-6327	48	16	model	model	NOUN
cana-6327	48	17	in	in	ADP
cana-6327	48	18	the	the	DET
cana-6327	48	19	particular	particular	ADJ
cana-6327	48	20	solution	solution	NOUN
cana-6327	48	21	of	of	ADP
cana-6327	48	22	𝜌0	𝜌0	ADJ
cana-6327	48	23	=	=	SYM
cana-6327	48	24	0	0	NUM
cana-6327	48	25	.	.	PUNCT
cana-6327	48	26	communications	communication	NOUN
cana-6327	48	27	on	on	ADP
cana-6327	48	28	applied	apply	VERB
cana-6327	48	29	nonlinear	nonlinear	ADJ
cana-6327	48	30	analysis	analysis	NOUN
cana-6327	48	31	issn	issn	NOUN
cana-6327	48	32	:	:	PUNCT
cana-6327	48	33	1074	1074	NUM
cana-6327	48	34	-	-	PUNCT
cana-6327	48	35	133x	133x	NUM
cana-6327	48	36	vol	vol	NOUN
cana-6327	48	37	31	31	NUM
cana-6327	48	38	no	no	NOUN
cana-6327	48	39	.	.	PUNCT
cana-6327	49	1	8s	8s	PROPN
cana-6327	49	2	(	(	PUNCT
cana-6327	49	3	2024	2024	NUM
cana-6327	49	4	)	)	PUNCT
cana-6327	49	5	1255	1255	NUM
cana-6327	49	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	49	7	the	the	DET
cana-6327	49	8	goal	goal	NOUN
cana-6327	49	9	of	of	ADP
cana-6327	49	10	this	this	DET
cana-6327	49	11	study	study	NOUN
cana-6327	49	12	is	be	AUX
cana-6327	49	13	to	to	PART
cana-6327	49	14	re	re	VERB
cana-6327	49	15	-	-	VERB
cana-6327	49	16	examine	examine	VERB
cana-6327	49	17	earlier	early	ADJ
cana-6327	49	18	research	research	NOUN
cana-6327	49	19	on	on	ADP
cana-6327	49	20	cosmological	cosmological	ADJ
cana-6327	49	21	models	model	NOUN
cana-6327	49	22	in	in	ADP
cana-6327	49	23	(	(	PUNCT
cana-6327	49	24	2	2	NUM
cana-6327	49	25	+	+	NOUN
cana-6327	49	26	1	1	NUM
cana-6327	49	27	)	)	PUNCT
cana-6327	49	28	dimensions	dimension	NOUN
cana-6327	49	29	,	,	PUNCT
cana-6327	49	30	where	where	SCONJ
cana-6327	49	31	the	the	DET
cana-6327	49	32	mathematical	mathematical	ADJ
cana-6327	49	33	simplicity	simplicity	NOUN
cana-6327	49	34	could	could	AUX
cana-6327	49	35	aid	aid	VERB
cana-6327	49	36	in	in	ADP
cana-6327	49	37	a	a	DET
cana-6327	49	38	deeper	deep	ADJ
cana-6327	49	39	comprehension	comprehension	NOUN
cana-6327	49	40	of	of	ADP
cana-6327	49	41	the	the	DET
cana-6327	49	42	physics	physics	NOUN
cana-6327	49	43	.	.	PUNCT
cana-6327	50	1	we	we	PRON
cana-6327	50	2	are	be	AUX
cana-6327	50	3	further	far	ADV
cana-6327	50	4	motivated	motivated	ADJ
cana-6327	50	5	to	to	PART
cana-6327	50	6	study	study	VERB
cana-6327	50	7	(	(	PUNCT
cana-6327	50	8	2	2	NUM
cana-6327	50	9	+	+	NOUN
cana-6327	50	10	1)-dimensional	1)-dimensional	ADJ
cana-6327	50	11	models	model	NOUN
cana-6327	50	12	since	since	SCONJ
cana-6327	50	13	the	the	DET
cana-6327	50	14	issue	issue	NOUN
cana-6327	50	15	of	of	ADP
cana-6327	50	16	the	the	DET
cana-6327	50	17	microscopic	microscopic	ADJ
cana-6327	50	18	interpretation	interpretation	NOUN
cana-6327	50	19	of	of	ADP
cana-6327	50	20	black	black	ADJ
cana-6327	50	21	hole	hole	NOUN
cana-6327	50	22	entropy	entropy	NOUN
cana-6327	50	23	was	be	AUX
cana-6327	50	24	resolved	resolve	VERB
cana-6327	50	25	by	by	ADP
cana-6327	50	26	the	the	DET
cana-6327	50	27	first	first	ADJ
cana-6327	50	28	successful	successful	ADJ
cana-6327	50	29	application	application	NOUN
cana-6327	50	30	of	of	ADP
cana-6327	50	31	ads	ad	NOUN
cana-6327	50	32	/	/	SYM
cana-6327	50	33	cft	cft	PROPN
cana-6327	50	34	(	(	PUNCT
cana-6327	50	35	anti	anti	ADJ
cana-6327	50	36	-	-	ADJ
cana-6327	50	37	de	de	ADJ
cana-6327	50	38	sitter	sitter	NOUN
cana-6327	50	39	/	/	SYM
cana-6327	50	40	conformal	conformal	NOUN
cana-6327	50	41	field	field	NOUN
cana-6327	50	42	theory	theory	NOUN
cana-6327	50	43	)	)	PUNCT
cana-6327	50	44	duality	duality	NOUN
cana-6327	50	45	appeared	appear	VERB
cana-6327	50	46	in	in	ADP
cana-6327	50	47	(	(	PUNCT
cana-6327	50	48	2	2	NUM
cana-6327	50	49	+	+	NOUN
cana-6327	50	50	1)dimensional	1)dimensional	NUM
cana-6327	50	51	models	model	NOUN
cana-6327	50	52	,	,	PUNCT
cana-6327	50	53	offering	offer	VERB
cana-6327	50	54	more	more	ADJ
cana-6327	50	55	clues	clue	NOUN
cana-6327	50	56	in	in	ADP
cana-6327	50	57	the	the	DET
cana-6327	50	58	case	case	NOUN
cana-6327	50	59	of	of	ADP
cana-6327	50	60	higher	high	ADJ
cana-6327	50	61	-	-	PUNCT
cana-6327	50	62	dimensional	dimensional	ADJ
cana-6327	50	63	black	black	ADJ
cana-6327	50	64	holes	hole	NOUN
cana-6327	50	65	[	[	X
cana-6327	50	66	15	15	NUM
cana-6327	50	67	]	]	PUNCT
cana-6327	50	68	.	.	PUNCT
cana-6327	51	1	it	it	PRON
cana-6327	51	2	is	be	AUX
cana-6327	51	3	obligatory	obligatory	ADJ
cana-6327	51	4	for	for	SCONJ
cana-6327	51	5	us	we	PRON
cana-6327	51	6	to	to	PART
cana-6327	51	7	make	make	VERB
cana-6327	51	8	an	an	DET
cana-6327	51	9	endeavour	endeavour	NOUN
cana-6327	51	10	to	to	PART
cana-6327	51	11	understand	understand	VERB
cana-6327	51	12	the	the	DET
cana-6327	51	13	fundamental	fundamental	ADJ
cana-6327	51	14	foundation	foundation	NOUN
cana-6327	51	15	of	of	ADP
cana-6327	51	16	cosmic	cosmic	ADJ
cana-6327	51	17	holography	holography	NOUN
cana-6327	51	18	and	and	CCONJ
cana-6327	51	19	state	state	NOUN
cana-6327	51	20	that	that	SCONJ
cana-6327	51	21	the	the	DET
cana-6327	51	22	principle	principle	NOUN
cana-6327	51	23	of	of	ADP
cana-6327	51	24	holography	holography	NOUN
cana-6327	51	25	is	be	AUX
cana-6327	51	26	met	meet	VERB
cana-6327	51	27	for	for	ADP
cana-6327	51	28	open	open	ADJ
cana-6327	51	29	and	and	CCONJ
cana-6327	51	30	even	even	ADV
cana-6327	51	31	cosmos	cosmo	NOUN
cana-6327	51	32	with	with	ADP
cana-6327	51	33	broad	broad	ADJ
cana-6327	51	34	equations	equation	NOUN
cana-6327	51	35	of	of	ADP
cana-6327	51	36	state	state	NOUN
cana-6327	51	37	.	.	PUNCT
cana-6327	52	1	the	the	DET
cana-6327	52	2	harmonic	harmonic	ADJ
cana-6327	52	3	principle	principle	NOUN
cana-6327	52	4	in	in	ADP
cana-6327	52	5	a	a	DET
cana-6327	52	6	(	(	PUNCT
cana-6327	52	7	2	2	NUM
cana-6327	52	8	+	+	NOUN
cana-6327	52	9	1)-dimensional	1)-dimensional	ADJ
cana-6327	52	10	closed	closed	ADJ
cana-6327	52	11	universal	universal	ADJ
cana-6327	52	12	,	,	PUNCT
cana-6327	52	13	where𝜆	where𝜆	X
cana-6327	52	14	=	=	PUNCT
cana-6327	52	15	2𝜋𝜔2𝐺𝜌0	2𝜋𝜔2𝐺𝜌0	NUM
cana-6327	52	16	𝜔	𝜔	NOUN
cana-6327	52	17	+	+	NOUN
cana-6327	52	18	1⁄	1⁄	NUM
cana-6327	52	19	,	,	PUNCT
cana-6327	52	20	can	can	AUX
cana-6327	52	21	not	not	PART
cana-6327	52	22	be	be	AUX
cana-6327	52	23	accomplished	accomplish	VERB
cana-6327	52	24	for	for	ADP
cana-6327	52	25	𝜆	𝜆	PRON
cana-6327	52	26	<	<	X
cana-6327	52	27	0	0	NUM
cana-6327	52	28	,	,	PUNCT
cana-6327	52	29	according	accord	VERB
cana-6327	52	30	to	to	ADP
cana-6327	52	31	the	the	DET
cana-6327	52	32	technique	technique	NOUN
cana-6327	52	33	signified	signify	VERB
cana-6327	52	34	by	by	ADP
cana-6327	52	35	[	[	X
cana-6327	52	36	19,24	19,24	X
cana-6327	52	37	]	]	X
cana-6327	52	38	.	.	PUNCT
cana-6327	53	1	moreover	moreover	ADV
cana-6327	53	2	,	,	PUNCT
cana-6327	53	3	𝜆	𝜆	DET
cana-6327	53	4	functions	function	NOUN
cana-6327	53	5	as	as	ADP
cana-6327	53	6	a	a	DET
cana-6327	53	7	negative	negative	ADJ
cana-6327	53	8	cosmological	cosmological	ADJ
cana-6327	53	9	constant	constant	ADJ
cana-6327	53	10	for	for	ADP
cana-6327	53	11	𝜌0	𝜌0	PROPN
cana-6327	53	12	<	<	X
cana-6327	53	13	0	0	NUM
cana-6327	53	14	.	.	PUNCT
cana-6327	54	1	we	we	PRON
cana-6327	54	2	have	have	VERB
cana-6327	54	3	more	more	ADJ
cana-6327	54	4	substantial	substantial	ADJ
cana-6327	54	5	validation	validation	NOUN
cana-6327	54	6	to	to	PART
cana-6327	54	7	look	look	VERB
cana-6327	54	8	for	for	ADP
cana-6327	54	9	cosmological	cosmological	ADJ
cana-6327	54	10	harmonic	harmonic	ADJ
cana-6327	54	11	principle	principle	ADJ
cana-6327	54	12	reformation	reformation	NOUN
cana-6327	54	13	in	in	ADP
cana-6327	54	14	a	a	DET
cana-6327	54	15	cosmos	cosmos	NOUN
cana-6327	54	16	where	where	SCONJ
cana-6327	54	17	the	the	DET
cana-6327	54	18	cosmological	cosmological	ADJ
cana-6327	54	19	constant	constant	NOUN
cana-6327	54	20	is	be	AUX
cana-6327	54	21	negative	negative	ADJ
cana-6327	54	22	.	.	PUNCT
cana-6327	55	1	2	2	X
cana-6327	55	2	.	.	X
cana-6327	55	3	metric	metric	ADJ
cana-6327	55	4	and	and	CCONJ
cana-6327	55	5	field	field	NOUN
cana-6327	55	6	equations	equation	NOUN
cana-6327	55	7	we	we	PRON
cana-6327	55	8	must	must	AUX
cana-6327	55	9	begin	begin	VERB
cana-6327	55	10	by	by	ADP
cana-6327	55	11	exploring	explore	VERB
cana-6327	55	12	the	the	DET
cana-6327	55	13	homogeneous	homogeneous	ADJ
cana-6327	55	14	expansion	expansion	NOUN
cana-6327	55	15	equations	equation	NOUN
cana-6327	55	16	in	in	ADP
cana-6327	55	17	(	(	PUNCT
cana-6327	55	18	2	2	NUM
cana-6327	55	19	+	+	NOUN
cana-6327	55	20	1)-dimensions	1)-dimensions	NUM
cana-6327	55	21	.	.	PUNCT
cana-6327	56	1	concerning	concern	VERB
cana-6327	56	2	the	the	DET
cana-6327	56	3	element	element	NOUN
cana-6327	56	4	of	of	ADP
cana-6327	56	5	the	the	DET
cana-6327	56	6	robertson	robertson	PROPN
cana-6327	56	7	-	-	PUNCT
cana-6327	56	8	walker	walker	PROPN
cana-6327	56	9	line	line	NOUN
cana-6327	56	10	in	in	ADP
cana-6327	56	11	(	(	PUNCT
cana-6327	56	12	2	2	NUM
cana-6327	56	13	+	+	NOUN
cana-6327	56	14	1	1	NUM
cana-6327	56	15	)	)	PUNCT
cana-6327	56	16	dimensions	dimension	NOUN
cana-6327	56	17	𝑑𝑠2	𝑑𝑠2	NOUN
cana-6327	56	18	=	=	SYM
cana-6327	56	19	𝑑𝑡2	𝑑𝑡2	NOUN
cana-6327	56	20	−	−	PROPN
cana-6327	56	21	𝑎2(𝑡	𝑎2(𝑡	PROPN
cana-6327	56	22	)	)	PUNCT
cana-6327	56	23	(	(	PUNCT
cana-6327	56	24	𝑑𝑟2	𝑑𝑟2	VERB
cana-6327	56	25	1−𝑘𝑟2	1−𝑘𝑟2	NUM
cana-6327	56	26	+	+	NUM
cana-6327	56	27	𝑟2𝑑𝜃2	𝑟2𝑑𝜃2	NOUN
cana-6327	56	28	)	)	PUNCT
cana-6327	56	29	(	(	PUNCT
cana-6327	56	30	1	1	X
cana-6327	56	31	)	)	PUNCT
cana-6327	56	32	in	in	ADP
cana-6327	56	33	(	(	PUNCT
cana-6327	56	34	2	2	NUM
cana-6327	56	35	+	+	NOUN
cana-6327	56	36	1)-dimension	1)-dimension	NUM
cana-6327	56	37	,	,	PUNCT
cana-6327	56	38	the	the	DET
cana-6327	56	39	einstein	einstein	ADJ
cana-6327	56	40	field	field	NOUN
cana-6327	56	41	equation	equation	NOUN
cana-6327	56	42	is	be	AUX
cana-6327	56	43	given	give	VERB
cana-6327	56	44	as	as	ADP
cana-6327	56	45	,	,	PUNCT
cana-6327	56	46	𝑅𝜇𝜗	𝑅𝜇𝜗	ADJ
cana-6327	56	47	−	−	NOUN
cana-6327	56	48	1	1	NUM
cana-6327	56	49	2	2	NUM
cana-6327	56	50	𝑔𝜇𝜗	𝑔𝜇𝜗	NOUN
cana-6327	56	51	=	=	SYM
cana-6327	56	52	−2𝜋𝐺𝑇𝜇𝜗	−2𝜋𝐺𝑇𝜇𝜗	NOUN
cana-6327	56	53	(	(	PUNCT
cana-6327	56	54	2	2	X
cana-6327	56	55	)	)	PUNCT
cana-6327	56	56	we	we	PRON
cana-6327	56	57	use	use	VERB
cana-6327	56	58	the	the	DET
cana-6327	56	59	matter	matter	NOUN
cana-6327	56	60	with	with	ADP
cana-6327	56	61	energy	energy	NOUN
cana-6327	56	62	momentum	momentum	NOUN
cana-6327	56	63	tensor	tensor	NOUN
cana-6327	56	64	𝑇𝜇𝜗	𝑇𝜇𝜗	PROPN
cana-6327	56	65	=	=	SYM
cana-6327	56	66	(	(	PUNCT
cana-6327	56	67	𝜌	𝜌	X
cana-6327	56	68	,	,	PUNCT
cana-6327	56	69	−𝑝	−𝑝	ADJ
cana-6327	56	70	,	,	PUNCT
cana-6327	56	71	−𝑝	−𝑝	NOUN
cana-6327	56	72	)	)	PUNCT
cana-6327	56	73	)	)	PUNCT
cana-6327	56	74	to	to	PART
cana-6327	56	75	keep	keep	VERB
cana-6327	56	76	things	thing	NOUN
cana-6327	56	77	simple	simple	ADJ
cana-6327	56	78	.	.	PUNCT
cana-6327	57	1	einstein	einstein	PROPN
cana-6327	57	2	field	field	NOUN
cana-6327	57	3	equation	equation	NOUN
cana-6327	57	4	(	(	PUNCT
cana-6327	57	5	2	2	NUM
cana-6327	57	6	)	)	PUNCT
cana-6327	57	7	for	for	ADP
cana-6327	57	8	model	model	NOUN
cana-6327	57	9	(	(	PUNCT
cana-6327	57	10	1	1	NUM
cana-6327	57	11	)	)	PUNCT
cana-6327	57	12	becomes	become	VERB
cana-6327	57	13	(	(	PUNCT
cana-6327	57	14	�	�	PROPN
cana-6327	57	15	̇	̇	VERB
cana-6327	57	16	�	�	PROPN
cana-6327	57	17	𝑎	𝑎	X
cana-6327	57	18	)	)	PUNCT
cana-6327	57	19	2	2	NUM
cana-6327	58	1	+	+	CCONJ
cana-6327	58	2	𝑘	𝑘	DET
cana-6327	58	3	𝑎2	𝑎2	NOUN
cana-6327	58	4	=	=	SYM
cana-6327	58	5	2𝜋𝐺𝜌	2𝜋𝐺𝜌	NUM
cana-6327	58	6	,	,	PUNCT
cana-6327	58	7	(	(	PUNCT
cana-6327	58	8	3	3	X
cana-6327	58	9	)	)	PUNCT
cana-6327	58	10	�	�	PROPN
cana-6327	58	11	̈	̈	X
cana-6327	58	12	�	�	PROPN
cana-6327	58	13	𝑎	𝑎	X
cana-6327	58	14	=	=	SYM
cana-6327	58	15	−2𝜋𝐺𝑝	−2𝜋𝐺𝑝	ADJ
cana-6327	58	16	,	,	PUNCT
cana-6327	58	17	(	(	PUNCT
cana-6327	58	18	4	4	X
cana-6327	58	19	)	)	PUNCT
cana-6327	58	20	�	�	PROPN
cana-6327	58	21	̇	̇	VERB
cana-6327	58	22	�	�	PROPN
cana-6327	58	23	=	=	SYM
cana-6327	58	24	−2𝐻(𝜌	−2𝐻(𝜌	NUM
cana-6327	58	25	+	+	CCONJ
cana-6327	58	26	𝑝	𝑝	NOUN
cana-6327	58	27	)	)	PUNCT
cana-6327	58	28	(	(	PUNCT
cana-6327	58	29	5	5	X
cana-6327	58	30	)	)	PUNCT
cana-6327	58	31	communications	communication	NOUN
cana-6327	58	32	on	on	ADP
cana-6327	58	33	applied	apply	VERB
cana-6327	58	34	nonlinear	nonlinear	ADJ
cana-6327	58	35	analysis	analysis	NOUN
cana-6327	58	36	issn	issn	NOUN
cana-6327	58	37	:	:	PUNCT
cana-6327	58	38	1074	1074	NUM
cana-6327	58	39	-	-	PUNCT
cana-6327	58	40	133x	133x	NUM
cana-6327	58	41	vol	vol	NOUN
cana-6327	58	42	31	31	NUM
cana-6327	58	43	no	no	NOUN
cana-6327	58	44	.	.	PUNCT
cana-6327	59	1	8s	8s	PROPN
cana-6327	59	2	(	(	PUNCT
cana-6327	59	3	2024	2024	NUM
cana-6327	59	4	)	)	PUNCT
cana-6327	59	5	1256	1256	NUM
cana-6327	59	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	59	7	where	where	SCONJ
cana-6327	59	8	𝐻	𝐻	PROPN
cana-6327	59	9	=	=	SYM
cana-6327	59	10	�	�	PROPN
cana-6327	59	11	̇	̇	NOUN
cana-6327	59	12	�	�	PROPN
cana-6327	59	13	𝑎	𝑎	NOUN
cana-6327	59	14	represents	represent	VERB
cana-6327	59	15	the	the	DET
cana-6327	59	16	hubble	hubble	ADJ
cana-6327	59	17	parameter	parameter	NOUN
cana-6327	59	18	,	,	PUNCT
cana-6327	59	19	wherein	wherein	SCONJ
cana-6327	59	20	p	p	NOUN
cana-6327	59	21	and	and	CCONJ
cana-6327	59	22	ρ	ρ	PROPN
cana-6327	59	23	stand	stand	NOUN
cana-6327	59	24	for	for	ADP
cana-6327	59	25	pressure	pressure	NOUN
cana-6327	59	26	and	and	CCONJ
cana-6327	59	27	energy	energy	NOUN
cana-6327	59	28	density	density	NOUN
cana-6327	59	29	,	,	PUNCT
cana-6327	59	30	respectively	respectively	ADV
cana-6327	59	31	.	.	PUNCT
cana-6327	60	1	moreover	moreover	ADV
cana-6327	60	2	,	,	PUNCT
cana-6327	60	3	a	a	DET
cana-6327	60	4	variable	variable	NOUN
cana-6327	60	5	's	's	PART
cana-6327	60	6	time	time	NOUN
cana-6327	60	7	derivative	derivative	NOUN
cana-6327	60	8	is	be	AUX
cana-6327	60	9	reflected	reflect	VERB
cana-6327	60	10	by	by	ADP
cana-6327	60	11	a	a	DET
cana-6327	60	12	dot	dot	NOUN
cana-6327	60	13	over	over	ADP
cana-6327	60	14	it	it	PRON
cana-6327	60	15	.	.	PUNCT
cana-6327	61	1	we	we	PRON
cana-6327	61	2	'll	will	AUX
cana-6327	61	3	assume	assume	VERB
cana-6327	61	4	that	that	SCONJ
cana-6327	61	5	the	the	DET
cana-6327	61	6	modified	modify	VERB
cana-6327	61	7	equations	equation	NOUN
cana-6327	61	8	of	of	ADP
cana-6327	61	9	state	state	NOUN
cana-6327	61	10	have	have	VERB
cana-6327	61	11	the	the	DET
cana-6327	61	12	following	follow	VERB
cana-6327	61	13	form	form	NOUN
cana-6327	61	14	:	:	PUNCT
cana-6327	61	15	𝑝	𝑝	NOUN
cana-6327	61	16	=	=	SYM
cana-6327	61	17	𝜔𝜌	𝜔𝜌	X
cana-6327	61	18	+	+	X
cana-6327	61	19	ʌ	ʌ	X
cana-6327	61	20	(	(	PUNCT
cana-6327	61	21	6	6	NUM
cana-6327	61	22	)	)	PUNCT
cana-6327	61	23	here	here	ADV
cana-6327	61	24	we	we	PRON
cana-6327	61	25	present	present	VERB
cana-6327	61	26	ʌ	ʌ	X
cana-6327	61	27	=	=	SYM
cana-6327	61	28	𝛼𝜌	𝛼𝜌	PROPN
cana-6327	61	29	,	,	PUNCT
cana-6327	61	30	𝑝	𝑝	NOUN
cana-6327	61	31	=	=	SYM
cana-6327	61	32	(	(	PUNCT
cana-6327	61	33	𝜔	𝜔	X
cana-6327	61	34	+	+	X
cana-6327	61	35	𝛼)𝜌	𝛼)𝜌	X
cana-6327	61	36	where	where	SCONJ
cana-6327	61	37	𝜔	𝜔	PRON
cana-6327	61	38	and	and	CCONJ
cana-6327	61	39	𝛼	𝛼	NOUN
cana-6327	61	40	are	be	AUX
cana-6327	61	41	two	two	NUM
cana-6327	61	42	parameters	parameter	NOUN
cana-6327	61	43	.	.	PUNCT
cana-6327	62	1	3	3	X
cana-6327	62	2	.	.	X
cana-6327	62	3	solution	solution	NOUN
cana-6327	62	4	of	of	ADP
cana-6327	62	5	field	field	NOUN
cana-6327	62	6	equations	equation	NOUN
cana-6327	62	7	here	here	ADV
cana-6327	62	8	,	,	PUNCT
cana-6327	62	9	𝑝	𝑝	NOUN
cana-6327	62	10	=	=	SYM
cana-6327	62	11	0	0	PUNCT
cana-6327	62	12	(	(	PUNCT
cana-6327	62	13	𝜔	𝜔	NOUN
cana-6327	62	14	=	=	PUNCT
cana-6327	62	15	−𝛼	−𝛼	ADJ
cana-6327	62	16	)	)	PUNCT
cana-6327	62	17	for	for	ADP
cana-6327	62	18	the	the	DET
cana-6327	62	19	dust	dust	NOUN
cana-6327	62	20	-	-	PUNCT
cana-6327	62	21	filled	fill	VERB
cana-6327	62	22	universe	universe	NOUN
cana-6327	62	23	,	,	PUNCT
cana-6327	62	24	and	and	CCONJ
cana-6327	62	25	energy	energy	NOUN
cana-6327	62	26	conservation	conservation	NOUN
cana-6327	62	27	(	(	PUNCT
cana-6327	62	28	5	5	NUM
cana-6327	62	29	)	)	PUNCT
cana-6327	62	30	results	result	NOUN
cana-6327	62	31	in	in	ADP
cana-6327	62	32	𝜌𝑎2	𝜌𝑎2	NOUN
cana-6327	62	33	=	=	SYM
cana-6327	62	34	𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡	𝑐𝑜𝑛𝑠𝑡𝑎𝑛𝑡	NOUN
cana-6327	62	35	=	=	SYM
cana-6327	62	36	𝜌0𝑎0	𝜌0𝑎0	SYM
cana-6327	62	37	2	2	NUM
cana-6327	62	38	(	(	PUNCT
cana-6327	62	39	7	7	NUM
cana-6327	62	40	)	)	PUNCT
cana-6327	62	41	from	from	ADP
cana-6327	62	42	(	(	PUNCT
cana-6327	62	43	3	3	X
cana-6327	62	44	)	)	PUNCT
cana-6327	62	45	we	we	PRON
cana-6327	62	46	get	get	VERB
cana-6327	62	47	,	,	PUNCT
cana-6327	62	48	�	�	PROPN
cana-6327	62	49	̇	̇	VERB
cana-6327	62	50	�	�	PROPN
cana-6327	62	51	=	=	PUNCT
cana-6327	62	52	√2𝑀0𝐺	√2𝑀0𝐺	NOUN
cana-6327	62	53	−	−	PROPN
cana-6327	62	54	𝑘	𝑘	X
cana-6327	62	55	(	(	PUNCT
cana-6327	62	56	8)	8)	NUM
cana-6327	62	57	where	where	SCONJ
cana-6327	62	58	𝑀0	𝑀0	ADJ
cana-6327	62	59	=	=	SYM
cana-6327	62	60	𝜋𝜌0𝑎0	𝜋𝜌0𝑎0	NOUN
cana-6327	62	61	2	2	NUM
cana-6327	62	62	.	.	PUNCT
cana-6327	63	1	in	in	ADP
cana-6327	63	2	order	order	NOUN
cana-6327	63	3	to	to	PART
cana-6327	63	4	solve	solve	VERB
cana-6327	63	5	this	this	DET
cana-6327	63	6	problem	problem	NOUN
cana-6327	63	7	,	,	PUNCT
cana-6327	63	8	𝑀0	𝑀0	ADV
cana-6327	63	9	>	>	X
cana-6327	63	10	𝑘	𝑘	PRON
cana-6327	63	11	⁄	⁄	PROPN
cana-6327	63	12	2𝐺.	2𝐺.	NUM
cana-6327	63	13	therefore	therefore	ADV
cana-6327	63	14	,	,	PUNCT
cana-6327	63	15	the	the	DET
cana-6327	63	16	answer	answer	NOUN
cana-6327	63	17	to	to	ADP
cana-6327	63	18	(	(	PUNCT
cana-6327	63	19	8)	8)	NUM
cana-6327	63	20	gives	gives	AUX
cana-6327	63	21	linearly	linearly	ADV
cana-6327	63	22	expanding	expand	VERB
cana-6327	63	23	scale	scale	NOUN
cana-6327	63	24	factor	factor	NOUN
cana-6327	63	25	as	as	ADP
cana-6327	63	26	𝑎(𝑡	𝑎(𝑡	NOUN
cana-6327	63	27	)	)	PUNCT
cana-6327	64	1	=	=	SYM
cana-6327	64	2	𝑎0	𝑎0	PROPN
cana-6327	64	3	+	+	CCONJ
cana-6327	64	4	√2𝑀0𝐺	√2𝑀0𝐺	NOUN
cana-6327	64	5	−	−	PROPN
cana-6327	64	6	𝑘𝑡	𝑘𝑡	PROPN
cana-6327	64	7	(	(	PUNCT
cana-6327	64	8	9	9	NUM
cana-6327	64	9	)	)	PUNCT
cana-6327	64	10	regardless	regardless	ADV
cana-6327	64	11	of	of	ADP
cana-6327	64	12	the	the	DET
cana-6327	64	13	choice	choice	NOUN
cana-6327	64	14	of	of	ADP
cana-6327	64	15	k	k	X
cana-6327	64	16	,	,	PUNCT
cana-6327	64	17	this	this	DET
cana-6327	64	18	equation	equation	NOUN
cana-6327	64	19	suggest	suggest	VERB
cana-6327	64	20	that	that	SCONJ
cana-6327	64	21	the	the	DET
cana-6327	64	22	universe	universe	NOUN
cana-6327	64	23	is	be	AUX
cana-6327	64	24	continuously	continuously	ADV
cana-6327	64	25	expanding	expand	VERB
cana-6327	64	26	and	and	CCONJ
cana-6327	64	27	full	full	ADJ
cana-6327	64	28	with	with	ADP
cana-6327	64	29	dust	dust	NOUN
cana-6327	64	30	.	.	PUNCT
cana-6327	65	1	[	[	X
cana-6327	65	2	19	19	NUM
cana-6327	65	3	]	]	PUNCT
cana-6327	65	4	has	have	AUX
cana-6327	65	5	already	already	ADV
cana-6327	65	6	looked	look	VERB
cana-6327	65	7	into	into	ADP
cana-6327	65	8	a	a	DET
cana-6327	65	9	similar	similar	ADJ
cana-6327	65	10	solution	solution	NOUN
cana-6327	65	11	.	.	PUNCT
cana-6327	66	1	the	the	DET
cana-6327	66	2	definition	definition	NOUN
cana-6327	66	3	of	of	ADP
cana-6327	66	4	the	the	DET
cana-6327	66	5	horizon	horizon	NOUN
cana-6327	66	6	’s	’s	PART
cana-6327	66	7	comoving	comoving	NOUN
cana-6327	66	8	distance	distance	NOUN
cana-6327	66	9	𝑟𝐻	𝑟𝐻	NOUN
cana-6327	66	10	is	be	AUX
cana-6327	66	11	𝑟𝐻	𝑟𝐻	NOUN
cana-6327	66	12	=	=	SYM
cana-6327	66	13	1	1	NUM
cana-6327	66	14	√2𝑀0𝐺−𝑘	√2𝑀0𝐺−𝑘	NOUN
cana-6327	66	15	[	[	X
cana-6327	66	16	ln(𝑎0	ln(𝑎0	X
cana-6327	66	17	+	+	X
cana-6327	66	18	√2𝑀0𝐺	√2𝑀0𝐺	ADJ
cana-6327	66	19	−	−	PROPN
cana-6327	66	20	𝑘𝑡	𝑘𝑡	PROPN
cana-6327	66	21	)	)	PUNCT
cana-6327	66	22	−	−	PROPN
cana-6327	66	23	ln	ln	PROPN
cana-6327	66	24	𝑎0	𝑎0	PROPN
cana-6327	66	25	]	]	PUNCT
cana-6327	66	26	(	(	PUNCT
cana-6327	66	27	10	10	NUM
cana-6327	66	28	)	)	PUNCT
cana-6327	66	29	whereas	whereas	SCONJ
cana-6327	66	30	the	the	DET
cana-6327	66	31	equivalent	equivalent	ADJ
cana-6327	66	32	physical	physical	ADJ
cana-6327	66	33	distance	distance	NOUN
cana-6327	66	34	is	be	AUX
cana-6327	66	35	denoted	denote	VERB
cana-6327	66	36	as	as	ADP
cana-6327	66	37	𝐿𝐻	𝐿𝐻	PROPN
cana-6327	66	38	=	=	PROPN
cana-6327	66	39	𝑎(𝑡)𝑟𝐻.	𝑎(𝑡)𝑟𝐻.	NOUN
cana-6327	66	40	the	the	DET
cana-6327	66	41	ratio	ratio	NOUN
cana-6327	66	42	entropy	entropy	PROPN
cana-6327	66	43	/	/	SYM
cana-6327	66	44	area	area	NOUN
cana-6327	66	45	is	be	AUX
cana-6327	66	46	given	give	VERB
cana-6327	66	47	by	by	ADP
cana-6327	66	48	𝑆	𝑆	PROPN
cana-6327	66	49	𝐴	𝐴	PROPN
cana-6327	66	50	~	~	PUNCT
cana-6327	66	51	1	1	NUM
cana-6327	66	52	𝑎	𝑎	X
cana-6327	66	53	ln	ln	NOUN
cana-6327	66	54	(	(	PUNCT
cana-6327	66	55	𝑎	𝑎	NOUN
cana-6327	66	56	𝑎0	𝑎0	NOUN
cana-6327	66	57	)	)	PUNCT
cana-6327	66	58	(	(	PUNCT
cana-6327	66	59	11	11	X
cana-6327	66	60	)	)	PUNCT
cana-6327	66	61	communications	communication	NOUN
cana-6327	66	62	on	on	ADP
cana-6327	66	63	applied	apply	VERB
cana-6327	66	64	nonlinear	nonlinear	ADJ
cana-6327	66	65	analysis	analysis	NOUN
cana-6327	66	66	issn	issn	NOUN
cana-6327	66	67	:	:	PUNCT
cana-6327	66	68	1074	1074	NUM
cana-6327	66	69	-	-	PUNCT
cana-6327	66	70	133x	133x	NUM
cana-6327	66	71	vol	vol	NOUN
cana-6327	66	72	31	31	NUM
cana-6327	66	73	no	no	NOUN
cana-6327	66	74	.	.	PUNCT
cana-6327	67	1	8s	8s	PROPN
cana-6327	67	2	(	(	PUNCT
cana-6327	67	3	2024	2024	NUM
cana-6327	67	4	)	)	PUNCT
cana-6327	67	5	1257	1257	NUM
cana-6327	67	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	67	7	where	where	SCONJ
cana-6327	67	8	the	the	DET
cana-6327	67	9	comoving	comoving	NOUN
cana-6327	67	10	entropy	entropy	NOUN
cana-6327	67	11	density	density	NOUN
cana-6327	67	12	is	be	AUX
cana-6327	67	13	denoted	denote	VERB
cana-6327	67	14	by	by	ADP
cana-6327	67	15	𝜎	𝜎	PRON
cana-6327	67	16	and	and	CCONJ
cana-6327	67	17	satisfies	satisfy	VERB
cana-6327	67	18	𝜎~𝑎0	𝜎~𝑎0	PROPN
cana-6327	67	19	2	2	NUM
cana-6327	67	20	initially	initially	ADV
cana-6327	67	21	.	.	PUNCT
cana-6327	68	1	with	with	ADP
cana-6327	68	2	the	the	DET
cana-6327	68	3	expansion	expansion	NOUN
cana-6327	68	4	of	of	ADP
cana-6327	68	5	the	the	DET
cana-6327	68	6	cosmos	cosmos	PROPN
cana-6327	68	7	throughout	throughout	ADP
cana-6327	68	8	time	time	NOUN
cana-6327	68	9	,	,	PUNCT
cana-6327	68	10	this	this	DET
cana-6327	68	11	bound	bind	VERB
cana-6327	68	12	becomes	become	VERB
cana-6327	68	13	even	even	ADV
cana-6327	68	14	more	more	ADV
cana-6327	68	15	strongly	strongly	ADV
cana-6327	68	16	satisfied	satisfied	ADJ
cana-6327	68	17	.	.	PUNCT
cana-6327	69	1	this	this	DET
cana-6327	69	2	finding	finding	NOUN
cana-6327	69	3	is	be	AUX
cana-6327	69	4	in	in	ADP
cana-6327	69	5	consonance	consonance	NOUN
cana-6327	69	6	with	with	ADP
cana-6327	69	7	the	the	DET
cana-6327	69	8	results	result	NOUN
cana-6327	69	9	for	for	ADP
cana-6327	69	10	the	the	DET
cana-6327	69	11	open	open	ADJ
cana-6327	69	12	and	and	CCONJ
cana-6327	69	13	flat	flat	ADJ
cana-6327	69	14	universes	universe	NOUN
cana-6327	69	15	that	that	PRON
cana-6327	69	16	were	be	AUX
cana-6327	69	17	solved	solve	VERB
cana-6327	69	18	in	in	ADP
cana-6327	69	19	(	(	PUNCT
cana-6327	69	20	3	3	NUM
cana-6327	69	21	+	+	NOUN
cana-6327	69	22	1)-dimensional	1)-dimensional	ADJ
cana-6327	69	23	scenarios	scenario	NOUN
cana-6327	69	24	.	.	PUNCT
cana-6327	70	1	now	now	ADV
cana-6327	70	2	let	let	VERB
cana-6327	70	3	's	us	PRON
cana-6327	70	4	understand	understand	VERB
cana-6327	70	5	at	at	ADP
cana-6327	70	6	a	a	DET
cana-6327	70	7	universe	universe	NOUN
cana-6327	70	8	that	that	PRON
cana-6327	70	9	is	be	AUX
cana-6327	70	10	asserted	assert	VERB
cana-6327	70	11	by	by	ADP
cana-6327	70	12	radiation	radiation	NOUN
cana-6327	70	13	,	,	PUNCT
cana-6327	70	14	specifically	specifically	ADV
cana-6327	70	15	𝜌	𝜌	ADP
cana-6327	70	16	=	=	SYM
cana-6327	70	17	2𝑝.	2𝑝.	NUM
cana-6327	70	18	for	for	ADP
cana-6327	70	19	the	the	DET
cana-6327	70	20	particular	particular	ADJ
cana-6327	70	21	case	case	NOUN
cana-6327	70	22	𝜌0	𝜌0	PROPN
cana-6327	70	23	=	=	SYM
cana-6327	70	24	0	0	NUM
cana-6327	70	25	and	and	CCONJ
cana-6327	70	26	𝜔	𝜔	PART
cana-6327	70	27	=	=	SYM
cana-6327	70	28	1	1	NUM
cana-6327	70	29	2	2	NUM
cana-6327	70	30	−	−	NOUN
cana-6327	70	31	𝛼	𝛼	NOUN
cana-6327	70	32	the	the	DET
cana-6327	70	33	conservation	conservation	NOUN
cana-6327	70	34	(	(	PUNCT
cana-6327	70	35	5	5	NUM
cana-6327	70	36	)	)	PUNCT
cana-6327	70	37	offers	offer	VERB
cana-6327	70	38	𝜌𝑎0	𝜌𝑎0	NOUN
cana-6327	70	39	3	3	NUM
cana-6327	70	40	=	=	SYM
cana-6327	70	41	constant	constant	ADJ
cana-6327	70	42	=	=	X
cana-6327	70	43	𝜌0𝑎0	𝜌0𝑎0	SYM
cana-6327	70	44	3	3	NUM
cana-6327	70	45	(	(	PUNCT
cana-6327	70	46	12	12	NUM
cana-6327	70	47	)	)	PUNCT
cana-6327	70	48	�	�	PROPN
cana-6327	70	49	̇	̇	VERB
cana-6327	70	50	�	�	PROPN
cana-6327	70	51	2	2	NUM
cana-6327	70	52	=	=	SYM
cana-6327	70	53	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	70	54	𝑎	𝑎	PRON
cana-6327	70	55	−	−	PROPN
cana-6327	70	56	𝑘	𝑘	PROPN
cana-6327	70	57	(	(	PUNCT
cana-6327	70	58	13	13	NUM
cana-6327	70	59	)	)	PUNCT
cana-6327	70	60	�	�	PROPN
cana-6327	70	61	̈	̈	X
cana-6327	70	62	�	�	PROPN
cana-6327	70	63	=	=	SYM
cana-6327	71	1	−	−	PROPN
cana-6327	71	2	𝑀0𝐺	𝑀0𝐺	PROPN
cana-6327	71	3	𝑎2	𝑎2	NOUN
cana-6327	71	4	(	(	PUNCT
cana-6327	71	5	14	14	NUM
cana-6327	71	6	)	)	PUNCT
cana-6327	71	7	the	the	DET
cana-6327	71	8	answer	answer	NOUN
cana-6327	71	9	to	to	ADP
cana-6327	71	10	(	(	PUNCT
cana-6327	71	11	13	13	NUM
cana-6327	71	12	)	)	PUNCT
cana-6327	71	13	is	be	AUX
cana-6327	71	14	simple	simple	ADJ
cana-6327	71	15	for	for	ADP
cana-6327	71	16	a	a	DET
cana-6327	71	17	flat	flat	ADJ
cana-6327	71	18	universe	universe	NOUN
cana-6327	71	19	(	(	PUNCT
cana-6327	71	20	𝑘	𝑘	NOUN
cana-6327	71	21	=	=	SYM
cana-6327	71	22	0	0	NUM
cana-6327	71	23	)	)	PUNCT
cana-6327	71	24	𝑎(𝑡	𝑎(𝑡	PROPN
cana-6327	71	25	)	)	PUNCT
cana-6327	72	1	=	=	PUNCT
cana-6327	72	2	[	[	PUNCT
cana-6327	72	3	3	3	NUM
cana-6327	72	4	2	2	NUM
cana-6327	72	5	(	(	PUNCT
cana-6327	72	6	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	72	7	)	)	PUNCT
cana-6327	72	8	1	1	NUM
cana-6327	72	9	2	2	NUM
cana-6327	72	10	]	]	SYM
cana-6327	72	11	2	2	NUM
cana-6327	72	12	3⁄	3⁄	NUM
cana-6327	72	13	𝑡2	𝑡2	NOUN
cana-6327	72	14	3⁄	3⁄	NUM
cana-6327	72	15	(	(	PUNCT
cana-6327	72	16	15	15	NUM
cana-6327	72	17	)	)	PUNCT
cana-6327	72	18	here	here	ADV
cana-6327	72	19	,	,	PUNCT
cana-6327	72	20	𝑎(𝑡	𝑎(𝑡	PROPN
cana-6327	72	21	)	)	PUNCT
cana-6327	72	22	∝	∝	PROPN
cana-6327	72	23	𝑡2	𝑡2	NOUN
cana-6327	72	24	3⁄	3⁄	NUM
cana-6327	72	25	matching	matching	NOUN
cana-6327	72	26	standard	standard	NOUN
cana-6327	72	27	(	(	PUNCT
cana-6327	72	28	3	3	NUM
cana-6327	72	29	+	+	NOUN
cana-6327	72	30	1)-dimension	1)-dimension	NUM
cana-6327	72	31	radiation	radiation	NOUN
cana-6327	72	32	-	-	PUNCT
cana-6327	72	33	dominated	dominate	VERB
cana-6327	72	34	cosmology	cosmology	NOUN
cana-6327	72	35	,	,	PUNCT
cana-6327	72	36	the	the	DET
cana-6327	72	37	comoving	comove	VERB
cana-6327	72	38	horizon	horizon	NOUN
cana-6327	72	39	𝑟𝐻	𝑟𝐻	NOUN
cana-6327	72	40	is	be	AUX
cana-6327	72	41	given	give	VERB
cana-6327	72	42	by	by	ADP
cana-6327	72	43	𝑟𝐻	𝑟𝐻	NOUN
cana-6327	72	44	=	=	SYM
cana-6327	72	45	3	3	NUM
cana-6327	72	46	[	[	PUNCT
cana-6327	72	47	3	3	NUM
cana-6327	72	48	2	2	NUM
cana-6327	72	49	(	(	PUNCT
cana-6327	72	50	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	72	51	)	)	PUNCT
cana-6327	72	52	1	1	NUM
cana-6327	72	53	2	2	NUM
cana-6327	72	54	]	]	SYM
cana-6327	72	55	2	2	NUM
cana-6327	72	56	3⁄	3⁄	NUM
cana-6327	72	57	𝑡1	𝑡1	NOUN
cana-6327	72	58	3⁄	3⁄	NUM
cana-6327	72	59	(	(	PUNCT
cana-6327	72	60	16	16	NUM
cana-6327	72	61	)	)	PUNCT
cana-6327	72	62	the	the	DET
cana-6327	72	63	comoving	comoving	NOUN
cana-6327	72	64	entropy	entropy	PROPN
cana-6327	72	65	area	area	PROPN
cana-6327	72	66	relation	relation	NOUN
cana-6327	72	67	acts	act	VERB
cana-6327	72	68	as	as	SCONJ
cana-6327	72	69	follows	follow	VERB
cana-6327	72	70	for	for	ADP
cana-6327	72	71	big	big	ADJ
cana-6327	72	72	𝑡	𝑡	NOUN
cana-6327	72	73	:	:	PUNCT
cana-6327	72	74	𝑆	𝑆	PROPN
cana-6327	72	75	𝐴	𝐴	PROPN
cana-6327	72	76	=	=	SYM
cana-6327	72	77	𝜎	𝜎	PROPN
cana-6327	72	78	𝑟𝐻	𝑟𝐻	NOUN
cana-6327	72	79	𝑎(𝑡	𝑎(𝑡	NOUN
cana-6327	72	80	)	)	PUNCT
cana-6327	72	81	(	(	PUNCT
cana-6327	72	82	17	17	NUM
cana-6327	72	83	)	)	PUNCT
cana-6327	72	84	𝑆	𝑆	PROPN
cana-6327	72	85	𝐴	𝐴	PROPN
cana-6327	72	86	~𝑡−1	~𝑡−1	NUM
cana-6327	72	87	3⁄	3⁄	NUM
cana-6327	72	88	(	(	PUNCT
cana-6327	72	89	18	18	NUM
cana-6327	72	90	)	)	PUNCT
cana-6327	72	91	communications	communication	NOUN
cana-6327	72	92	on	on	ADP
cana-6327	72	93	applied	apply	VERB
cana-6327	72	94	nonlinear	nonlinear	ADJ
cana-6327	72	95	analysis	analysis	NOUN
cana-6327	72	96	issn	issn	NOUN
cana-6327	72	97	:	:	PUNCT
cana-6327	72	98	1074	1074	NUM
cana-6327	72	99	-	-	PUNCT
cana-6327	72	100	133x	133x	NUM
cana-6327	72	101	vol	vol	NOUN
cana-6327	72	102	31	31	NUM
cana-6327	72	103	no	no	NOUN
cana-6327	72	104	.	.	PUNCT
cana-6327	73	1	8s	8s	PROPN
cana-6327	73	2	(	(	PUNCT
cana-6327	73	3	2024	2024	NUM
cana-6327	73	4	)	)	PUNCT
cana-6327	73	5	1258	1258	NUM
cana-6327	73	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	73	7	resultantly	resultantly	ADV
cana-6327	73	8	,	,	PUNCT
cana-6327	73	9	the	the	DET
cana-6327	73	10	𝑆	𝑆	PROPN
cana-6327	73	11	𝐴⁄	𝐴⁄	ADJ
cana-6327	73	12	ratio	ratio	NOUN
cana-6327	73	13	is	be	AUX
cana-6327	73	14	not	not	PART
cana-6327	73	15	in	in	ADP
cana-6327	73	16	tandem	tandem	NOUN
cana-6327	73	17	with	with	ADP
cana-6327	73	18	time	time	NOUN
cana-6327	73	19	.	.	PUNCT
cana-6327	74	1	the	the	DET
cana-6327	74	2	holographic	holographic	ADJ
cana-6327	74	3	bound	bind	VERB
cana-6327	74	4	will	will	AUX
cana-6327	74	5	strengthen	strengthen	VERB
cana-6327	74	6	as	as	SCONJ
cana-6327	74	7	the	the	DET
cana-6327	74	8	cosmos	cosmos	PROPN
cana-6327	74	9	grows	grow	VERB
cana-6327	74	10	,	,	PUNCT
cana-6327	74	11	which	which	PRON
cana-6327	74	12	is	be	AUX
cana-6327	74	13	consonance	consonance	NOUN
cana-6327	74	14	with	with	ADP
cana-6327	74	15	the	the	DET
cana-6327	74	16	(	(	PUNCT
cana-6327	74	17	3	3	NUM
cana-6327	74	18	+	+	NOUN
cana-6327	74	19	1)-dimensional	1)-dimensional	ADJ
cana-6327	74	20	results	result	NOUN
cana-6327	74	21	,	,	PUNCT
cana-6327	74	22	provided	provide	VERB
cana-6327	74	23	that	that	SCONJ
cana-6327	74	24	the	the	DET
cana-6327	74	25	initial	initial	ADJ
cana-6327	74	26	holographic	holographic	ADJ
cana-6327	74	27	constraint	constraint	NOUN
cana-6327	74	28	,	,	PUNCT
cana-6327	74	29	𝜎	𝜎	PROPN
cana-6327	74	30	𝑎0	𝑎0	PROPN
cana-6327	74	31	2⁄	2⁄	NUM
cana-6327	74	32	≤	≤	NUM
cana-6327	74	33	1	1	NUM
cana-6327	74	34	,	,	PUNCT
cana-6327	74	35	was	be	AUX
cana-6327	74	36	satisfied	satisfied	ADJ
cana-6327	74	37	at	at	ADP
cana-6327	74	38	the	the	DET
cana-6327	74	39	starting	starting	NOUN
cana-6327	74	40	point	point	NOUN
cana-6327	74	41	.	.	PUNCT
cana-6327	75	1	the	the	DET
cana-6327	75	2	nature	nature	NOUN
cana-6327	75	3	of	of	ADP
cana-6327	75	4	the	the	DET
cana-6327	75	5	flat	flat	ADJ
cana-6327	75	6	universe	universe	NOUN
cana-6327	75	7	is	be	AUX
cana-6327	75	8	suited	suit	VERB
cana-6327	75	9	similarly	similarly	ADV
cana-6327	75	10	to	to	ADP
cana-6327	75	11	the	the	DET
cana-6327	75	12	open	open	ADJ
cana-6327	75	13	universe	universe	NOUN
cana-6327	75	14	(	(	PUNCT
cana-6327	75	15	𝑘	𝑘	NOUN
cana-6327	75	16	=	=	SYM
cana-6327	75	17	−1	−1	NOUN
cana-6327	75	18	)	)	PUNCT
cana-6327	75	19	.	.	PUNCT
cana-6327	76	1	the	the	DET
cana-6327	76	2	closed	close	VERB
cana-6327	76	3	universe	universe	NOUN
cana-6327	76	4	model	model	NOUN
cana-6327	76	5	(	(	PUNCT
cana-6327	76	6	𝑘	𝑘	NOUN
cana-6327	76	7	=	=	NOUN
cana-6327	76	8	1	1	NUM
cana-6327	76	9	)	)	PUNCT
cana-6327	76	10	in	in	ADP
cana-6327	76	11	the	the	DET
cana-6327	76	12	radiation	radiation	NOUN
cana-6327	76	13	-	-	PUNCT
cana-6327	76	14	dominated	dominate	VERB
cana-6327	76	15	phase	phase	NOUN
cana-6327	76	16	is	be	AUX
cana-6327	76	17	worth	worth	ADJ
cana-6327	76	18	talking	talk	VERB
cana-6327	76	19	about	about	ADP
cana-6327	76	20	.	.	PUNCT
cana-6327	77	1	first	first	ADV
cana-6327	77	2	,	,	PUNCT
cana-6327	77	3	equation	equation	NOUN
cana-6327	77	4	(	(	PUNCT
cana-6327	77	5	13	13	NUM
cana-6327	77	6	)	)	PUNCT
cana-6327	77	7	shows	show	VERB
cana-6327	77	8	that	that	SCONJ
cana-6327	77	9	�	�	PROPN
cana-6327	77	10	̇	̇	PROPN
cana-6327	77	11	�	�	PROPN
cana-6327	77	12	disappears	disappear	VERB
cana-6327	77	13	at	at	ADP
cana-6327	77	14	𝑎	𝑎	PROPN
cana-6327	77	15	=	=	SYM
cana-6327	77	16	2𝑀0	2𝑀0	NUM
cana-6327	77	17	𝐺	𝐺	NOUN
cana-6327	77	18	,	,	PUNCT
cana-6327	77	19	after	after	ADP
cana-6327	77	20	which	which	PRON
cana-6327	77	21	it	it	PRON
cana-6327	77	22	turns	turn	VERB
cana-6327	77	23	negative	negative	ADJ
cana-6327	77	24	and	and	CCONJ
cana-6327	77	25	the	the	DET
cana-6327	77	26	universe	universe	NOUN
cana-6327	77	27	collapses	collapse	VERB
cana-6327	77	28	.	.	PUNCT
cana-6327	78	1	this	this	PRON
cana-6327	78	2	occurs	occur	VERB
cana-6327	78	3	a	a	DET
cana-6327	78	4	limited	limited	ADJ
cana-6327	78	5	amount	amount	NOUN
cana-6327	78	6	of	of	ADP
cana-6327	78	7	time	time	NOUN
cana-6327	78	8	after	after	SCONJ
cana-6327	78	9	the	the	DET
cana-6327	78	10	expansion	expansion	NOUN
cana-6327	78	11	starts	start	VERB
cana-6327	78	12	.	.	PUNCT
cana-6327	79	1	let	let	VERB
cana-6327	79	2	's	us	PRON
cana-6327	79	3	now	now	ADV
cana-6327	79	4	examine	examine	VERB
cana-6327	79	5	a	a	DET
cana-6327	79	6	flat	flat	ADJ
cana-6327	79	7	universe	universe	NOUN
cana-6327	79	8	when	when	SCONJ
cana-6327	79	9	𝜆	𝜆	ADP
cana-6327	79	10	<	<	X
cana-6327	79	11	0	0	NUM
cana-6327	79	12	.	.	PUNCT
cana-6327	80	1	in	in	ADP
cana-6327	80	2	this	this	DET
cana-6327	80	3	part	part	NOUN
cana-6327	80	4	,	,	PUNCT
cana-6327	80	5	we	we	PRON
cana-6327	80	6	will	will	AUX
cana-6327	80	7	talk	talk	VERB
cana-6327	80	8	about	about	ADP
cana-6327	80	9	how	how	SCONJ
cana-6327	80	10	to	to	PART
cana-6327	80	11	solve	solve	VERB
cana-6327	80	12	the	the	DET
cana-6327	80	13	field	field	NOUN
cana-6327	80	14	equation	equation	NOUN
cana-6327	80	15	.	.	PUNCT
cana-6327	81	1	assuming	assume	VERB
cana-6327	81	2	that	that	SCONJ
cana-6327	81	3	𝜆	𝜆	PRON
cana-6327	81	4	<	<	X
cana-6327	81	5	0	0	NUM
cana-6327	81	6	,	,	PUNCT
cana-6327	81	7	we	we	PRON
cana-6327	81	8	use	use	VERB
cana-6327	81	9	a	a	DET
cana-6327	81	10	modified	modify	VERB
cana-6327	81	11	equation	equation	NOUN
cana-6327	81	12	of	of	ADP
cana-6327	81	13	state	state	NOUN
cana-6327	81	14	to	to	PART
cana-6327	81	15	study	study	VERB
cana-6327	81	16	the	the	DET
cana-6327	81	17	holographic	holographic	ADJ
cana-6327	81	18	principle	principle	NOUN
cana-6327	81	19	for	for	ADP
cana-6327	81	20	𝜌0	𝜌0	PROPN
cana-6327	81	21	<	<	X
cana-6327	81	22	0	0	NUM
cana-6327	81	23	.	.	PUNCT
cana-6327	81	24	using	use	VERB
cana-6327	81	25	the	the	DET
cana-6327	81	26	modified	modify	VERB
cana-6327	81	27	equation	equation	NOUN
cana-6327	81	28	of	of	ADP
cana-6327	81	29	state	state	NOUN
cana-6327	81	30	(	(	PUNCT
cana-6327	81	31	6	6	NUM
cana-6327	81	32	)	)	PUNCT
cana-6327	81	33	and	and	CCONJ
cana-6327	81	34	conservation	conservation	NOUN
cana-6327	81	35	(	(	PUNCT
cana-6327	81	36	5	5	NUM
cana-6327	81	37	)	)	PUNCT
cana-6327	81	38	,	,	PUNCT
cana-6327	81	39	we	we	PRON
cana-6327	81	40	obtain	obtain	VERB
cana-6327	81	41	𝜌	𝜌	ADP
cana-6327	81	42	=	=	SYM
cana-6327	81	43	𝜌0	𝜌0	ADJ
cana-6327	81	44	𝑎2(𝜔+1	𝑎2(𝜔+1	PROPN
cana-6327	81	45	)	)	PUNCT
cana-6327	81	46	−	−	PROPN
cana-6327	81	47	𝐵0	𝐵0	NOUN
cana-6327	81	48	(	(	PUNCT
cana-6327	81	49	19	19	NUM
cana-6327	81	50	)	)	PUNCT
cana-6327	81	51	where	where	SCONJ
cana-6327	81	52	,	,	PUNCT
cana-6327	81	53	𝑐	𝑐	NOUN
cana-6327	81	54	𝜔+1	𝜔+1	NUM
cana-6327	81	55	=	=	SYM
cana-6327	81	56	𝜌0	𝜌0	PROPN
cana-6327	81	57	and	and	CCONJ
cana-6327	81	58	ʌ	ʌ	X
cana-6327	81	59	𝜔+1	𝜔+1	NUM
cana-6327	81	60	=	=	PUNCT
cana-6327	81	61	𝐵0	𝐵0	NOUN
cana-6327	81	62	in	in	ADP
cana-6327	81	63	this	this	DET
cana-6327	81	64	case	case	NOUN
cana-6327	81	65	,	,	PUNCT
cana-6327	81	66	field	field	NOUN
cana-6327	81	67	equations	equation	NOUN
cana-6327	81	68	(	(	PUNCT
cana-6327	81	69	3	3	NUM
cana-6327	81	70	)	)	PUNCT
cana-6327	81	71	and	and	CCONJ
cana-6327	81	72	(	(	PUNCT
cana-6327	81	73	4	4	X
cana-6327	81	74	)	)	PUNCT
cana-6327	81	75	can	can	AUX
cana-6327	81	76	be	be	AUX
cana-6327	81	77	expressed	express	VERB
cana-6327	81	78	differently	differently	ADV
cana-6327	81	79	as	as	ADP
cana-6327	81	80	(	(	PUNCT
cana-6327	81	81	�	�	PROPN
cana-6327	81	82	̇	̇	NOUN
cana-6327	81	83	�	�	PROPN
cana-6327	81	84	𝑎	𝑎	X
cana-6327	81	85	)	)	PUNCT
cana-6327	81	86	2	2	NUM
cana-6327	81	87	=	=	SYM
cana-6327	81	88	2𝜋𝐺	2𝜋𝐺	NUM
cana-6327	81	89	(	(	PUNCT
cana-6327	81	90	−𝐵0	−𝐵0	NOUN
cana-6327	81	91	+	+	CCONJ
cana-6327	82	1	𝜌0	𝜌0	PROPN
cana-6327	82	2	𝑎2(𝜔+1	𝑎2(𝜔+1	NOUN
cana-6327	82	3	)	)	PUNCT
cana-6327	82	4	−	−	NOUN
cana-6327	82	5	𝑘	𝑘	PROPN
cana-6327	82	6	𝑎2	𝑎2	PROPN
cana-6327	82	7	)	)	PUNCT
cana-6327	83	1	(	(	PUNCT
cana-6327	83	2	20	20	NUM
cana-6327	83	3	)	)	PUNCT
cana-6327	83	4	�	�	PROPN
cana-6327	83	5	̈	̈	X
cana-6327	83	6	�	�	NOUN
cana-6327	83	7	=	=	SYM
cana-6327	83	8	−2𝜋𝐺𝜔	−2𝜋𝐺𝜔	PROPN
cana-6327	83	9	(	(	PUNCT
cana-6327	83	10	−𝐵0𝜔	−𝐵0𝜔	X
cana-6327	83	11	+	+	CCONJ
cana-6327	83	12	𝜌0	𝜌0	PROPN
cana-6327	83	13	𝑎2(𝜔+1	𝑎2(𝜔+1	NOUN
cana-6327	83	14	)	)	PUNCT
cana-6327	83	15	)	)	PUNCT
cana-6327	83	16	(	(	PUNCT
cana-6327	83	17	21	21	NUM
cana-6327	83	18	)	)	PUNCT
cana-6327	83	19	for	for	ADP
cana-6327	83	20	𝑘	𝑘	NOUN
cana-6327	83	21	=	=	SYM
cana-6327	83	22	0	0	NUM
cana-6327	83	23	,	,	PUNCT
cana-6327	83	24	(	(	PUNCT
cana-6327	83	25	20	20	NUM
cana-6327	83	26	)	)	PUNCT
cana-6327	83	27	becomes	become	VERB
cana-6327	83	28	�	�	PROPN
cana-6327	83	29	̇	̇	VERB
cana-6327	83	30	�	�	PROPN
cana-6327	83	31	2	2	NUM
cana-6327	83	32	=	=	SYM
cana-6327	83	33	−𝜆𝑎2	−𝜆𝑎2	NUM
cana-6327	83	34	+	+	CCONJ
cana-6327	83	35	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	83	36	𝑎2𝜔	𝑎2𝜔	PROPN
cana-6327	83	37	(	(	PUNCT
cana-6327	83	38	22	22	NUM
cana-6327	83	39	)	)	PUNCT
cana-6327	83	40	where	where	SCONJ
cana-6327	83	41	,	,	PUNCT
cana-6327	83	42	𝑀0	𝑀0	ADJ
cana-6327	83	43	=	=	ADJ
cana-6327	83	44	𝜋𝜌0	𝜋𝜌0	NOUN
cana-6327	83	45	.	.	PUNCT
cana-6327	84	1	the	the	DET
cana-6327	84	2	scaling	scale	VERB
cana-6327	84	3	factor	factor	NOUN
cana-6327	84	4	has	have	VERB
cana-6327	84	5	the	the	DET
cana-6327	84	6	following	follow	VERB
cana-6327	84	7	form	form	NOUN
cana-6327	84	8	and	and	CCONJ
cana-6327	84	9	can	can	AUX
cana-6327	84	10	be	be	AUX
cana-6327	84	11	computed	compute	VERB
cana-6327	84	12	from	from	ADP
cana-6327	84	13	(	(	PUNCT
cana-6327	84	14	22	22	NUM
cana-6327	84	15	)	)	PUNCT
cana-6327	84	16	.	.	PUNCT
cana-6327	85	1	𝑎(𝑡	𝑎(𝑡	NOUN
cana-6327	85	2	)	)	PUNCT
cana-6327	86	1	=	=	PRON
cana-6327	87	1	(	(	PUNCT
cana-6327	87	2	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	87	3	𝜆	𝜆	X
cana-6327	87	4	)	)	PUNCT
cana-6327	87	5	1	1	NUM
cana-6327	87	6	2(𝜔+1)⁄	2(𝜔+1)⁄	NOUN
cana-6327	88	1	[	[	X
cana-6327	88	2	sin(𝜔	sin(𝜔	X
cana-6327	88	3	+	+	CCONJ
cana-6327	88	4	1)√𝜆𝑡	1)√𝜆𝑡	PROPN
cana-6327	88	5	]	]	X
cana-6327	88	6	1	1	NUM
cana-6327	88	7	𝜔+1⁄	𝜔+1⁄	PROPN
cana-6327	88	8	(	(	PUNCT
cana-6327	88	9	23	23	NUM
cana-6327	88	10	)	)	PUNCT
cana-6327	88	11	communications	communication	NOUN
cana-6327	88	12	on	on	ADP
cana-6327	88	13	applied	apply	VERB
cana-6327	88	14	nonlinear	nonlinear	ADJ
cana-6327	88	15	analysis	analysis	NOUN
cana-6327	88	16	issn	issn	NOUN
cana-6327	88	17	:	:	PUNCT
cana-6327	88	18	1074	1074	NUM
cana-6327	88	19	-	-	PUNCT
cana-6327	88	20	133x	133x	NUM
cana-6327	88	21	vol	vol	NOUN
cana-6327	88	22	31	31	NUM
cana-6327	88	23	no	no	NOUN
cana-6327	88	24	.	.	PUNCT
cana-6327	89	1	8s	8s	PROPN
cana-6327	89	2	(	(	PUNCT
cana-6327	89	3	2024	2024	NUM
cana-6327	89	4	)	)	PUNCT
cana-6327	89	5	1259	1259	NUM
cana-6327	89	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	89	7	for	for	ADP
cana-6327	89	8	our	our	PRON
cana-6327	89	9	purposes	purpose	NOUN
cana-6327	89	10	,	,	PUNCT
cana-6327	89	11	this	this	DET
cana-6327	89	12	particular	particular	ADJ
cana-6327	89	13	solution	solution	NOUN
cana-6327	89	14	is	be	AUX
cana-6327	89	15	not	not	PART
cana-6327	89	16	required	require	VERB
cana-6327	89	17	.	.	PUNCT
cana-6327	90	1	initially	initially	ADV
cana-6327	90	2	,	,	PUNCT
cana-6327	90	3	we	we	PRON
cana-6327	90	4	observe	observe	VERB
cana-6327	90	5	that	that	SCONJ
cana-6327	90	6	�	�	PROPN
cana-6327	90	7	̇	̇	PROPN
cana-6327	90	8	�	�	PROPN
cana-6327	90	9	disappears	disappear	VERB
cana-6327	90	10	at	at	ADP
cana-6327	90	11	𝑎	𝑎	PROPN
cana-6327	90	12	=	=	PUNCT
cana-6327	90	13	(	(	PUNCT
cana-6327	90	14	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	90	15	𝜆	𝜆	X
cana-6327	90	16	)	)	PUNCT
cana-6327	90	17	1	1	NUM
cana-6327	90	18	2(𝜔+1)⁄	2(𝜔+1)⁄	NOUN
cana-6327	90	19	afterwards	afterwards	ADV
cana-6327	90	20	,	,	PUNCT
cana-6327	90	21	�	�	PROPN
cana-6327	90	22	̇	̇	PROPN
cana-6327	90	23	�	�	PROPN
cana-6327	90	24	turns	turn	VERB
cana-6327	90	25	into	into	ADP
cana-6327	90	26	a	a	DET
cana-6327	90	27	negative	negative	ADJ
cana-6327	90	28	collapse	collapse	NOUN
cana-6327	90	29	.	.	PUNCT
cana-6327	91	1	this	this	PRON
cana-6327	91	2	occurs	occur	VERB
cana-6327	91	3	a	a	DET
cana-6327	91	4	limited	limited	ADJ
cana-6327	91	5	amount	amount	NOUN
cana-6327	91	6	of	of	ADP
cana-6327	91	7	time	time	NOUN
cana-6327	91	8	after	after	SCONJ
cana-6327	91	9	the	the	DET
cana-6327	91	10	expansion	expansion	NOUN
cana-6327	91	11	starts	start	VERB
cana-6327	91	12	.	.	PUNCT
cana-6327	92	1	the	the	DET
cana-6327	92	2	value	value	NOUN
cana-6327	92	3	𝐿𝐻	𝐿𝐻	PROPN
cana-6327	92	4	at	at	ADP
cana-6327	92	5	the	the	DET
cana-6327	92	6	turning	turning	NOUN
cana-6327	92	7	point	point	NOUN
cana-6327	92	8	can	can	AUX
cana-6327	92	9	be	be	AUX
cana-6327	92	10	seen	see	VERB
cana-6327	92	11	employing	employ	VERB
cana-6327	92	12	(	(	PUNCT
cana-6327	92	13	22	22	NUM
cana-6327	92	14	)	)	PUNCT
cana-6327	92	15	,	,	PUNCT
cana-6327	92	16	which	which	PRON
cana-6327	92	17	is	be	AUX
cana-6327	92	18	the	the	DET
cana-6327	92	19	definition	definition	NOUN
cana-6327	92	20	of	of	ADP
cana-6327	92	21	the	the	DET
cana-6327	92	22	particle	particle	NOUN
cana-6327	92	23	horizon	horizon	NOUN
cana-6327	92	24	.	.	PUNCT
cana-6327	93	1	𝐿𝐻(𝑡𝑢𝑟𝑛𝑖𝑛𝑔	𝐿𝐻(𝑡𝑢𝑟𝑛𝑖𝑛𝑔	ADJ
cana-6327	93	2	)	)	PUNCT
cana-6327	93	3	=	=	SYM
cana-6327	93	4	1	1	NUM
cana-6327	93	5	2(𝜔+1)𝜆1	2(𝜔+1)𝜆1	NUM
cana-6327	93	6	2⁄	2⁄	NUM
cana-6327	93	7	𝛽	𝛽	NOUN
cana-6327	93	8	(	(	PUNCT
cana-6327	93	9	𝜔	𝜔	PROPN
cana-6327	93	10	2(𝜔+1	2(𝜔+1	NUM
cana-6327	93	11	)	)	PUNCT
cana-6327	93	12	,	,	PUNCT
cana-6327	93	13	1	1	NUM
cana-6327	93	14	2	2	NUM
cana-6327	93	15	)	)	PUNCT
cana-6327	93	16	(	(	PUNCT
cana-6327	93	17	24	24	NUM
cana-6327	93	18	)	)	PUNCT
cana-6327	93	19	where	where	SCONJ
cana-6327	93	20	the	the	DET
cana-6327	93	21	euler	euler	NOUN
cana-6327	93	22	beta	beta	NOUN
cana-6327	93	23	function	function	NOUN
cana-6327	93	24	is	be	AUX
cana-6327	93	25	demonstrated	demonstrate	VERB
cana-6327	93	26	by	by	ADP
cana-6327	93	27	𝛽(𝑝	𝛽(𝑝	PROPN
cana-6327	93	28	,	,	PUNCT
cana-6327	93	29	𝑞	𝑞	NOUN
cana-6327	93	30	)	)	PUNCT
cana-6327	93	31	.	.	PUNCT
cana-6327	94	1	altogether	altogether	ADV
cana-6327	94	2	,	,	PUNCT
cana-6327	94	3	including	include	VERB
cana-6327	94	4	all	all	DET
cana-6327	94	5	these	these	DET
cana-6327	94	6	formulas	formula	NOUN
cana-6327	94	7	unfold	unfold	VERB
cana-6327	94	8	that	that	SCONJ
cana-6327	94	9	in	in	ADP
cana-6327	94	10	the	the	DET
cana-6327	94	11	beginning	begin	VERB
cana-6327	94	12	𝑆	𝑆	PROPN
cana-6327	94	13	𝐴	𝐴	PROPN
cana-6327	94	14	~	~	PUNCT
cana-6327	94	15	𝜎𝜆1	𝜎𝜆1	PROPN
cana-6327	94	16	(	(	PUNCT
cana-6327	94	17	𝜔	𝜔	SYM
cana-6327	94	18	2⁄	2⁄	NUM
cana-6327	94	19	)	)	PUNCT
cana-6327	94	20	⁄	⁄	PROPN
cana-6327	94	21	(	(	PUNCT
cana-6327	94	22	25	25	NUM
cana-6327	94	23	)	)	PUNCT
cana-6327	94	24	up	up	ADP
cana-6327	94	25	to	to	ADP
cana-6327	94	26	a	a	DET
cana-6327	94	27	factor	factor	NOUN
cana-6327	94	28	of	of	ADP
cana-6327	94	29	order	order	NOUN
cana-6327	94	30	unity	unity	NOUN
cana-6327	94	31	.	.	PUNCT
cana-6327	95	1	for	for	ADP
cana-6327	95	2	𝜔	𝜔	PRON
cana-6327	95	3	≥	≥	NOUN
cana-6327	95	4	1	1	NUM
cana-6327	95	5	,	,	PUNCT
cana-6327	95	6	at	at	ADP
cana-6327	95	7	the	the	DET
cana-6327	95	8	turning	turning	NOUN
cana-6327	95	9	point	point	NOUN
cana-6327	95	10	,	,	PUNCT
cana-6327	95	11	the	the	DET
cana-6327	95	12	ratio	ratio	NOUN
cana-6327	95	13	𝑆	𝑆	PROPN
cana-6327	95	14	⁄	⁄	PROPN
cana-6327	95	15	𝐴	𝐴	PROPN
cana-6327	95	16	is	be	AUX
cana-6327	95	17	very	very	ADV
cana-6327	95	18	tiny	tiny	ADJ
cana-6327	95	19	since	since	SCONJ
cana-6327	95	20	the	the	DET
cana-6327	95	21	power	power	NOUN
cana-6327	95	22	of	of	ADP
cana-6327	95	23	𝜆	𝜆	NOUN
cana-6327	95	24	is	be	AUX
cana-6327	95	25	positive	positive	ADJ
cana-6327	95	26	.	.	PUNCT
cana-6327	96	1	as	as	SCONJ
cana-6327	96	2	the	the	DET
cana-6327	96	3	scale	scale	NOUN
cana-6327	96	4	factor	factor	NOUN
cana-6327	96	5	becomes	become	VERB
cana-6327	96	6	closer	close	ADJ
cana-6327	96	7	to	to	ADP
cana-6327	96	8	the	the	DET
cana-6327	96	9	planck	planck	NOUN
cana-6327	96	10	scale	scale	NOUN
cana-6327	96	11	,	,	PUNCT
cana-6327	96	12	we	we	PRON
cana-6327	96	13	may	may	AUX
cana-6327	96	14	study	study	VERB
cana-6327	96	15	what	what	PRON
cana-6327	96	16	happens	happen	VERB
cana-6327	96	17	near	near	ADP
cana-6327	96	18	the	the	DET
cana-6327	96	19	last	last	ADJ
cana-6327	96	20	stage	stage	NOUN
cana-6327	96	21	of	of	ADP
cana-6327	96	22	collapse	collapse	NOUN
cana-6327	96	23	.	.	PUNCT
cana-6327	97	1	through	through	ADP
cana-6327	97	2	symmetry	symmetry	NOUN
cana-6327	97	3	𝐿𝐻~	𝐿𝐻~	NOUN
cana-6327	97	4	2𝑎0	2𝑎0	ADJ
cana-6327	97	5	𝑎(𝑡𝑢𝑟𝑛𝑖𝑛𝑔	𝑎(𝑡𝑢𝑟𝑛𝑖𝑛𝑔	ADV
cana-6327	97	6	)	)	PUNCT
cana-6327	97	7	𝐿𝐻~𝜆1	𝐿𝐻~𝜆1	NOUN
cana-6327	97	8	(	(	PUNCT
cana-6327	97	9	𝜔	𝜔	SYM
cana-6327	97	10	2⁄	2⁄	NUM
cana-6327	97	11	)	)	PUNCT
cana-6327	97	12	⁄	⁄	ADV
cana-6327	97	13	presently	presently	ADV
cana-6327	97	14	.	.	PUNCT
cana-6327	98	1	at	at	ADP
cana-6327	98	2	the	the	DET
cana-6327	98	3	plank	plank	NOUN
cana-6327	98	4	time	time	NOUN
cana-6327	98	5	,	,	PUNCT
cana-6327	98	6	the	the	DET
cana-6327	98	7	scale	scale	NOUN
cana-6327	98	8	factor	factor	NOUN
cana-6327	98	9	𝑡	𝑡	NOUN
cana-6327	98	10	=	=	NOUN
cana-6327	98	11	1	1	NUM
cana-6327	98	12	is	be	AUX
cana-6327	98	13	𝑎(𝑡	𝑎(𝑡	NOUN
cana-6327	98	14	=	=	SYM
cana-6327	98	15	1	1	X
cana-6327	98	16	)	)	PUNCT
cana-6327	98	17	=	=	NOUN
cana-6327	99	1	(	(	PUNCT
cana-6327	99	2	2𝑀0𝐺	2𝑀0𝐺	NUM
cana-6327	99	3	𝜆	𝜆	X
cana-6327	99	4	)	)	PUNCT
cana-6327	99	5	1	1	NUM
cana-6327	99	6	2(𝜔+1)⁄	2(𝜔+1)⁄	NOUN
cana-6327	100	1	[	[	X
cana-6327	100	2	sin((𝜔	sin((𝜔	X
cana-6327	100	3	+	+	NUM
cana-6327	100	4	1)√𝜆	1)√𝜆	NUM
cana-6327	100	5	)	)	PUNCT
cana-6327	100	6	]	]	PUNCT
cana-6327	100	7	1	1	NUM
cana-6327	100	8	𝜔+1⁄	𝜔+1⁄	PROPN
cana-6327	100	9	.	.	PUNCT
cana-6327	101	1	this	this	DET
cana-6327	101	2	ratio	ratio	NOUN
cana-6327	101	3	is	be	AUX
cana-6327	101	4	𝑆	𝑆	PROPN
cana-6327	101	5	𝐴⁄	𝐴⁄	PROPN
cana-6327	101	6	~𝜆1	~𝜆1	PUNCT
cana-6327	101	7	(	(	PUNCT
cana-6327	101	8	𝜔	𝜔	SYM
cana-6327	101	9	2⁄	2⁄	NUM
cana-6327	101	10	)	)	PUNCT
cana-6327	101	11	⁄	⁄	NOUN
cana-6327	101	12	.	.	PUNCT
cana-6327	102	1	hence	hence	ADV
cana-6327	102	2	for	for	ADP
cana-6327	102	3	small	small	ADJ
cana-6327	102	4	𝜆	𝜆	ADP
cana-6327	102	5	the	the	DET
cana-6327	102	6	ratio	ratio	NOUN
cana-6327	102	7	𝑆	𝑆	PROPN
cana-6327	102	8	𝐴⁄	𝐴⁄	PROPN
cana-6327	102	9	~𝜆1	~𝜆1	PUNCT
cana-6327	102	10	(	(	PUNCT
cana-6327	102	11	𝜔	𝜔	SYM
cana-6327	102	12	2⁄	2⁄	NUM
cana-6327	102	13	)	)	PUNCT
cana-6327	102	14	⁄	⁄	ADP
cana-6327	102	15	>	>	PUNCT
cana-6327	102	16	>	>	X
cana-6327	102	17	1	1	NUM
cana-6327	102	18	for	for	ADP
cana-6327	102	19	𝜔	𝜔	SYM
cana-6327	102	20	≤	≤	NUM
cana-6327	102	21	2	2	NUM
cana-6327	102	22	.	.	PUNCT
cana-6327	103	1	consequently	consequently	ADV
cana-6327	103	2	,	,	PUNCT
cana-6327	103	3	we	we	PRON
cana-6327	103	4	determine	determine	VERB
cana-6327	103	5	the	the	DET
cana-6327	103	6	ratio	ratio	NOUN
cana-6327	103	7	𝑆	𝑆	PROPN
cana-6327	103	8	𝐴⁄	𝐴⁄	NOUN
cana-6327	103	9	simultaneously	simultaneously	ADV
cana-6327	103	10	achieves	achieve	VERB
cana-6327	103	11	oneness	oneness	NOUN
cana-6327	103	12	following	follow	VERB
cana-6327	103	13	the	the	DET
cana-6327	103	14	pivotal	pivotal	ADJ
cana-6327	103	15	moment	moment	NOUN
cana-6327	103	16	and	and	CCONJ
cana-6327	103	17	the	the	DET
cana-6327	103	18	hormonic	hormonic	ADJ
cana-6327	103	19	bounds	bound	NOUN
cana-6327	103	20	become	become	AUX
cana-6327	103	21	violated	violate	VERB
cana-6327	103	22	consequently	consequently	ADV
cana-6327	103	23	,	,	PUNCT
cana-6327	103	24	as	as	ADV
cana-6327	103	25	long	long	ADV
cana-6327	103	26	as	as	SCONJ
cana-6327	103	27	the	the	DET
cana-6327	103	28	cosmos	cosmos	PROPN
cana-6327	103	29	is	be	AUX
cana-6327	103	30	still	still	ADV
cana-6327	103	31	very	very	ADV
cana-6327	103	32	big	big	ADJ
cana-6327	103	33	,	,	PUNCT
cana-6327	103	34	it	it	PRON
cana-6327	103	35	stays	stay	VERB
cana-6327	103	36	in	in	ADP
cana-6327	103	37	a	a	DET
cana-6327	103	38	classical	classical	ADJ
cana-6327	103	39	phase	phase	NOUN
cana-6327	103	40	[	[	X
cana-6327	103	41	10	10	NUM
cana-6327	103	42	]	]	PUNCT
cana-6327	103	43	.	.	PUNCT
cana-6327	104	1	conclusion	conclusion	NOUN
cana-6327	104	2	:	:	PUNCT
cana-6327	104	3	we	we	PRON
cana-6327	104	4	have	have	AUX
cana-6327	104	5	examined	examine	VERB
cana-6327	104	6	the	the	DET
cana-6327	104	7	holographic	holographic	ADJ
cana-6327	104	8	principle	principle	NOUN
cana-6327	104	9	in	in	ADP
cana-6327	104	10	a	a	DET
cana-6327	104	11	(	(	PUNCT
cana-6327	104	12	2	2	NUM
cana-6327	104	13	+	+	NOUN
cana-6327	104	14	1)-dimensional	1)-dimensional	ADJ
cana-6327	104	15	cosmological	cosmological	ADJ
cana-6327	104	16	model	model	NOUN
cana-6327	104	17	by	by	ADP
cana-6327	104	18	taking	take	VERB
cana-6327	104	19	into	into	ADP
cana-6327	104	20	account	account	NOUN
cana-6327	104	21	the	the	DET
cana-6327	104	22	cosmology	cosmology	NOUN
cana-6327	104	23	of	of	ADP
cana-6327	104	24	a	a	DET
cana-6327	104	25	perfect	perfect	ADJ
cana-6327	104	26	fluid	fluid	NOUN
cana-6327	104	27	with	with	ADP
cana-6327	104	28	a	a	DET
cana-6327	104	29	modified	modify	VERB
cana-6327	104	30	equation	equation	NOUN
cana-6327	104	31	of	of	ADP
cana-6327	104	32	a	a	DET
cana-6327	104	33	state	state	NOUN
cana-6327	104	34	.	.	PUNCT
cana-6327	105	1	we	we	PRON
cana-6327	105	2	have	have	AUX
cana-6327	105	3	found	find	VERB
cana-6327	105	4	that	that	SCONJ
cana-6327	105	5	the	the	DET
cana-6327	105	6	holographic	holographic	ADJ
cana-6327	105	7	principle	principle	NOUN
cana-6327	105	8	is	be	AUX
cana-6327	105	9	satisfied	satisfied	ADJ
cana-6327	105	10	in	in	ADP
cana-6327	105	11	all	all	DET
cana-6327	105	12	models	model	NOUN
cana-6327	105	13	of	of	ADP
cana-6327	105	14	the	the	DET
cana-6327	105	15	flat	flat	ADJ
cana-6327	105	16	and	and	CCONJ
cana-6327	105	17	open	open	ADJ
cana-6327	105	18	universes	universe	NOUN
cana-6327	105	19	for	for	ADP
cana-6327	105	20	a	a	DET
cana-6327	105	21	certain	certain	ADJ
cana-6327	105	22	value	value	NOUN
cana-6327	105	23	of	of	ADP
cana-6327	105	24	(	(	PUNCT
cana-6327	105	25	𝜔	𝜔	PROPN
cana-6327	105	26	+	+	NOUN
cana-6327	105	27	1	1	NUM
cana-6327	105	28	)	)	PUNCT
cana-6327	105	29	.	.	PUNCT
cana-6327	106	1	this	this	DET
cana-6327	106	2	finding	finding	NOUN
cana-6327	106	3	is	be	AUX
cana-6327	106	4	in	in	ADP
cana-6327	106	5	sync	sync	NOUN
cana-6327	106	6	with	with	ADP
cana-6327	106	7	research	research	NOUN
cana-6327	106	8	on	on	ADP
cana-6327	106	9	(	(	PUNCT
cana-6327	106	10	3	3	NUM
cana-6327	106	11	+	+	NOUN
cana-6327	106	12	1)-dimensional	1)-dimensional	ADJ
cana-6327	106	13	cosmologies	cosmology	NOUN
cana-6327	106	14	.	.	PUNCT
cana-6327	107	1	although	although	SCONJ
cana-6327	107	2	,	,	PUNCT
cana-6327	107	3	in	in	ADP
cana-6327	107	4	a	a	DET
cana-6327	107	5	(	(	PUNCT
cana-6327	107	6	2	2	NUM
cana-6327	107	7	+	+	NOUN
cana-6327	107	8	1)-dimensional	1)-dimensional	ADJ
cana-6327	107	9	closed	closed	ADJ
cana-6327	107	10	universe	universe	NOUN
cana-6327	107	11	,	,	PUNCT
cana-6327	107	12	the	the	DET
cana-6327	107	13	holographic	holographic	ADJ
cana-6327	107	14	principle	principle	NOUN
cana-6327	107	15	does	do	AUX
cana-6327	107	16	not	not	PART
cana-6327	107	17	succeed	succeed	VERB
cana-6327	107	18	to	to	PART
cana-6327	107	19	achieve	achieve	VERB
cana-6327	107	20	.	.	PUNCT
cana-6327	108	1	the	the	DET
cana-6327	108	2	study	study	NOUN
cana-6327	108	3	has	have	AUX
cana-6327	108	4	been	be	AUX
cana-6327	108	5	made	make	VERB
cana-6327	108	6	to	to	PART
cana-6327	108	7	investigate	investigate	VERB
cana-6327	108	8	the	the	DET
cana-6327	108	9	basic	basic	ADJ
cana-6327	108	10	assumptions	assumption	NOUN
cana-6327	108	11	of	of	ADP
cana-6327	108	12	the	the	DET
cana-6327	108	13	holographic	holographic	ADJ
cana-6327	108	14	principle	principle	NOUN
cana-6327	108	15	in	in	ADP
cana-6327	108	16	a	a	DET
cana-6327	108	17	flat	flat	ADJ
cana-6327	108	18	cosmological	cosmological	ADJ
cana-6327	108	19	model	model	NOUN
cana-6327	108	20	during	during	ADP
cana-6327	108	21	the	the	DET
cana-6327	108	22	radiation	radiation	NOUN
cana-6327	108	23	-	-	PUNCT
cana-6327	108	24	dominated	dominate	VERB
cana-6327	108	25	phase	phase	NOUN
cana-6327	108	26	and	and	CCONJ
cana-6327	108	27	addressed	address	VERB
cana-6327	108	28	the	the	DET
cana-6327	108	29	(	(	PUNCT
cana-6327	108	30	2	2	NUM
cana-6327	108	31	+	+	NOUN
cana-6327	108	32	1)-dimensional	1)-dimensional	ADJ
cana-6327	108	33	friedman	friedman	NOUN
cana-6327	108	34	equations	equation	NOUN
cana-6327	108	35	for	for	ADP
cana-6327	108	36	a	a	DET
cana-6327	108	37	general	general	ADJ
cana-6327	108	38	equation	equation	NOUN
cana-6327	108	39	of	of	ADP
cana-6327	108	40	state	state	NOUN
cana-6327	108	41	,	,	PUNCT
cana-6327	108	42	it	it	PRON
cana-6327	108	43	was	be	AUX
cana-6327	108	44	found	find	VERB
cana-6327	108	45	that	that	SCONJ
cana-6327	108	46	the	the	DET
cana-6327	108	47	fischler	fischler	NOUN
cana-6327	108	48	-	-	PUNCT
cana-6327	108	49	susskind	susskind	NOUN
cana-6327	108	50	bound	bind	VERB
cana-6327	108	51	does	do	AUX
cana-6327	108	52	not	not	PART
cana-6327	108	53	succeed	succeed	VERB
cana-6327	108	54	in	in	ADP
cana-6327	108	55	(	(	PUNCT
cana-6327	108	56	2	2	NUM
cana-6327	108	57	+	+	NOUN
cana-6327	108	58	1)-dimensional	1)-dimensional	ADJ
cana-6327	108	59	cosmological	cosmological	ADJ
cana-6327	108	60	models	model	NOUN
cana-6327	108	61	with	with	ADP
cana-6327	108	62	a	a	DET
cana-6327	108	63	negative	negative	ADJ
cana-6327	108	64	cosmological	cosmological	ADJ
cana-6327	108	65	constant	constant	ADJ
cana-6327	108	66	,	,	PUNCT
cana-6327	108	67	independent	independent	ADJ
cana-6327	108	68	of	of	ADP
cana-6327	108	69	k	k	PROPN
cana-6327	108	70	,	,	PUNCT
cana-6327	108	71	as	as	ADP
cana-6327	108	72	in	in	ADP
cana-6327	108	73	the	the	DET
cana-6327	108	74	(	(	PUNCT
cana-6327	108	75	2	2	NUM
cana-6327	108	76	+	+	NOUN
cana-6327	108	77	1)-dimensional	1)-dimensional	ADJ
cana-6327	108	78	closed	closed	ADJ
cana-6327	108	79	universe	universe	NOUN
cana-6327	108	80	.	.	PUNCT
cana-6327	109	1	constraints	constraint	NOUN
cana-6327	109	2	are	be	AUX
cana-6327	109	3	also	also	ADV
cana-6327	109	4	found	find	VERB
cana-6327	109	5	to	to	PART
cana-6327	109	6	be	be	AUX
cana-6327	109	7	valid	valid	ADJ
cana-6327	109	8	prior	prior	ADV
cana-6327	109	9	to	to	ADP
cana-6327	109	10	the	the	DET
cana-6327	109	11	point	point	NOUN
cana-6327	109	12	of	of	ADP
cana-6327	109	13	maximal	maximal	ADJ
cana-6327	109	14	expansion	expansion	NOUN
cana-6327	109	15	.	.	PUNCT
cana-6327	110	1	nevertheless	nevertheless	ADV
cana-6327	110	2	,	,	PUNCT
cana-6327	110	3	the	the	DET
cana-6327	110	4	holographic	holographic	ADJ
cana-6327	110	5	bound	bind	VERB
cana-6327	110	6	can	can	AUX
cana-6327	110	7	no	no	ADV
cana-6327	110	8	longer	long	ADV
cana-6327	110	9	be	be	AUX
cana-6327	110	10	upheld	uphold	VERB
cana-6327	110	11	after	after	SCONJ
cana-6327	110	12	the	the	DET
cana-6327	110	13	ratio	ratio	NOUN
cana-6327	110	14	surpasses	surpass	VERB
cana-6327	110	15	unity	unity	NOUN
cana-6327	110	16	.	.	PUNCT
cana-6327	111	1	this	this	DET
cana-6327	111	2	outcome	outcome	NOUN
cana-6327	111	3	is	be	AUX
cana-6327	111	4	in	in	ADP
cana-6327	111	5	line	line	NOUN
cana-6327	111	6	with	with	ADP
cana-6327	111	7	research	research	NOUN
cana-6327	111	8	in	in	ADP
cana-6327	111	9	cosmologies	cosmology	NOUN
cana-6327	111	10	with	with	ADP
cana-6327	111	11	three	three	NUM
cana-6327	111	12	dimensions	dimension	NOUN
cana-6327	111	13	.	.	PUNCT
cana-6327	112	1	communications	communication	NOUN
cana-6327	112	2	on	on	ADP
cana-6327	112	3	applied	apply	VERB
cana-6327	112	4	nonlinear	nonlinear	ADJ
cana-6327	112	5	analysis	analysis	NOUN
cana-6327	112	6	issn	issn	NOUN
cana-6327	112	7	:	:	PUNCT
cana-6327	112	8	1074	1074	NUM
cana-6327	112	9	-	-	PUNCT
cana-6327	112	10	133x	133x	NUM
cana-6327	112	11	vol	vol	NOUN
cana-6327	112	12	31	31	NUM
cana-6327	112	13	no	no	NOUN
cana-6327	112	14	.	.	PUNCT
cana-6327	113	1	8s	8s	PROPN
cana-6327	113	2	(	(	PUNCT
cana-6327	113	3	2024	2024	NUM
cana-6327	113	4	)	)	PUNCT
cana-6327	113	5	1260	1260	NUM
cana-6327	113	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-6327	114	1	the	the	PRON
cana-6327	114	2	(	(	PUNCT
cana-6327	114	3	3	3	NUM
cana-6327	114	4	+	+	NOUN
cana-6327	114	5	1)-dimensional	1)-dimensional	PROPN
cana-6327	114	6	einstein	einstein	ADJ
cana-6327	114	7	equations	equation	NOUN
cana-6327	114	8	have	have	AUX
cana-6327	114	9	largely	largely	ADV
cana-6327	114	10	compounded	compound	VERB
cana-6327	114	11	global	global	ADJ
cana-6327	114	12	cosmological	cosmological	ADJ
cana-6327	114	13	solutions	solution	NOUN
cana-6327	114	14	that	that	PRON
cana-6327	114	15	are	be	AUX
cana-6327	114	16	probably	probably	ADV
cana-6327	114	17	dominated	dominate	VERB
cana-6327	114	18	by	by	ADP
cana-6327	114	19	non	non	NOUN
cana-6327	114	20	-	-	NOUN
cana-6327	114	21	integrability	integrability	ADJ
cana-6327	114	22	.	.	PUNCT
cana-6327	115	1	however	however	ADV
cana-6327	115	2	,	,	PUNCT
cana-6327	115	3	the	the	DET
cana-6327	115	4	theory	theory	NOUN
cana-6327	115	5	's	's	PART
cana-6327	115	6	structure	structure	NOUN
cana-6327	115	7	in	in	ADP
cana-6327	115	8	(	(	PUNCT
cana-6327	115	9	2	2	NUM
cana-6327	115	10	+	+	NOUN
cana-6327	115	11	1)-dimensional	1)-dimensional	ADJ
cana-6327	115	12	spacetime	spacetime	NOUN
cana-6327	115	13	facilitates	facilitate	VERB
cana-6327	115	14	tangible	tangible	ADJ
cana-6327	115	15	advancements	advancement	NOUN
cana-6327	115	16	in	in	ADP
cana-6327	115	17	the	the	DET
cana-6327	115	18	pursuit	pursuit	NOUN
cana-6327	115	19	of	of	ADP
cana-6327	115	20	general	general	ADJ
cana-6327	115	21	solutions	solution	NOUN
cana-6327	115	22	in	in	ADP
cana-6327	115	23	a	a	DET
cana-6327	115	24	number	number	NOUN
cana-6327	115	25	of	of	ADP
cana-6327	115	26	intriguing	intriguing	ADJ
cana-6327	115	27	circumstances	circumstance	NOUN
cana-6327	115	28	.	.	PUNCT
cana-6327	116	1	the	the	DET
cana-6327	116	2	investigative	investigative	ADJ
cana-6327	116	3	study	study	NOUN
cana-6327	116	4	of	of	ADP
cana-6327	116	5	einstein	einstein	PROPN
cana-6327	116	6	's	's	PART
cana-6327	116	7	theory	theory	NOUN
cana-6327	116	8	in	in	ADP
cana-6327	116	9	(	(	PUNCT
cana-6327	116	10	2	2	NUM
cana-6327	116	11	+	+	NOUN
cana-6327	116	12	1)-dimensions	1)-dimensions	NUM
cana-6327	116	13	has	have	AUX
cana-6327	116	14	been	be	AUX
cana-6327	116	15	intended	intend	VERB
cana-6327	116	16	by	by	ADP
cana-6327	116	17	this	this	PRON
cana-6327	116	18	as	as	ADV
cana-6327	116	19	well	well	ADV
cana-6327	116	20	as	as	ADP
cana-6327	116	21	the	the	DET
cana-6327	116	22	largely	largely	ADV
cana-6327	116	23	ingrained	ingrain	VERB
cana-6327	116	24	held	held	ADJ
cana-6327	116	25	belief	belief	NOUN
cana-6327	116	26	that	that	SCONJ
cana-6327	116	27	quantum	quantum	ADJ
cana-6327	116	28	field	field	NOUN
cana-6327	116	29	theory	theory	NOUN
cana-6327	116	30	is	be	AUX
cana-6327	116	31	much	much	ADV
cana-6327	116	32	better	well	ADV
cana-6327	116	33	suited	suit	VERB
cana-6327	116	34	to	to	ADP
cana-6327	116	35	three	three	NUM
cana-6327	116	36	dimensions	dimension	NOUN
cana-6327	116	37	than	than	ADP
cana-6327	116	38	four	four	NUM
cana-6327	116	39	.	.	PUNCT
cana-6327	117	1	references	reference	NOUN
cana-6327	117	2	[	[	X
cana-6327	117	3	1	1	NUM
cana-6327	117	4	]	]	PUNCT
cana-6327	117	5	p.	p.	PROPN
cana-6327	117	6	kumar	kumar	PROPN
cana-6327	117	7	,	,	PUNCT
cana-6327	117	8	g.s	g.s	PROPN
cana-6327	117	9	.	.	PROPN
cana-6327	117	10	khadekar	khadekar	PROPN
cana-6327	117	11	&	&	CCONJ
cana-6327	117	12	v.j	v.j	PROPN
cana-6327	117	13	.	.	PROPN
cana-6327	117	14	dagwal	dagwal	PROPN
cana-6327	117	15	,	,	PUNCT
cana-6327	117	16	two	two	NUM
cana-6327	117	17	fluids	fluid	NOUN
cana-6327	117	18	cosmological	cosmological	ADJ
cana-6327	117	19	model	model	NOUN
cana-6327	117	20	in	in	ADP
cana-6327	117	21	(	(	PUNCT
cana-6327	117	22	2	2	NUM
cana-6327	117	23	+	+	ADJ
cana-6327	117	24	1)dimensional	1)dimensional	PROPN
cana-6327	117	25	saez	saez	ADJ
cana-6327	117	26	-	-	PUNCT
cana-6327	117	27	ballester	ballester	NOUN
cana-6327	117	28	scalar	scalar	ADJ
cana-6327	117	29	-	-	PUNCT
cana-6327	117	30	tensor	tensor	NOUN
cana-6327	117	31	theory	theory	NOUN
cana-6327	117	32	of	of	ADP
cana-6327	117	33	gravitation	gravitation	NOUN
cana-6327	117	34	.	.	PUNCT
cana-6327	118	1	journal	journal	NOUN
cana-6327	118	2	of	of	ADP
cana-6327	118	3	dynamical	dynamical	ADJ
cana-6327	118	4	system	system	NOUN
cana-6327	118	5	and	and	CCONJ
cana-6327	118	6	geometric	geometric	ADJ
cana-6327	118	7	theories	theory	NOUN
cana-6327	118	8	,	,	PUNCT
cana-6327	118	9	20(1),91–114(2022	20(1),91–114(2022	NUM
cana-6327	118	10	)	)	PUNCT
cana-6327	118	11	,	,	PUNCT
cana-6327	118	12	https://doi.org/10.1080/1726037x.2022.2079267	https://doi.org/10.1080/1726037x.2022.2079267	PROPN
cana-6327	119	1	[	[	X
cana-6327	119	2	2	2	X
cana-6327	119	3	]	]	PUNCT
cana-6327	119	4	s.	s.	PROPN
cana-6327	119	5	islam	islam	PROPN
cana-6327	119	6	,	,	PUNCT
cana-6327	119	7	m.	m.	PROPN
cana-6327	119	8	aamir	aamir	PROPN
cana-6327	119	9	,	,	PUNCT
cana-6327	119	10	i.	i.	PROPN
cana-6327	119	11	radinschi	radinschi	PROPN
cana-6327	119	12	&	&	CCONJ
cana-6327	119	13	bandyopadhyay	bandyopadhyay	PROPN
cana-6327	119	14	,	,	PUNCT
cana-6327	119	15	a	a	DET
cana-6327	119	16	probe	probe	NOUN
cana-6327	119	17	into	into	ADP
cana-6327	119	18	a	a	DET
cana-6327	119	19	(	(	PUNCT
cana-6327	119	20	2	2	NUM
cana-6327	119	21	+	+	SYM
cana-6327	119	22	1)-dimensional	1)-dimensional	NUM
cana-6327	119	23	combined	combined	ADJ
cana-6327	119	24	cosmological	cosmological	ADJ
cana-6327	119	25	model	model	NOUN
cana-6327	119	26	in	in	ADP
cana-6327	119	27	f	f	PROPN
cana-6327	119	28	(	(	PUNCT
cana-6327	119	29	r	r	PROPN
cana-6327	119	30	,	,	PUNCT
cana-6327	119	31	t	t	NOUN
cana-6327	119	32	)	)	PUNCT
cana-6327	119	33	gravity	gravity	NOUN
cana-6327	119	34	.	.	PUNCT
cana-6327	120	1	axioms	axiom	VERB
cana-6327	120	2	11	11	NUM
cana-6327	120	3	,	,	PUNCT
cana-6327	120	4	605	605	NUM
cana-6327	120	5	(	(	PUNCT
cana-6327	120	6	2022	2022	NUM
cana-6327	120	7	)	)	PUNCT
cana-6327	120	8	.	.	PUNCT
cana-6327	121	1	https://doi.org/10.3390/axioms11110605	https://doi.org/10.3390/axioms11110605	NOUN
cana-6327	121	2	.	.	PUNCT
cana-6327	122	1	[	[	X
cana-6327	122	2	3	3	X
cana-6327	122	3	]	]	X
cana-6327	122	4	l.	l.	PROPN
cana-6327	122	5	susskind	susskind	PROPN
cana-6327	122	6	,	,	PUNCT
cana-6327	122	7	the	the	DET
cana-6327	122	8	world	world	NOUN
cana-6327	122	9	as	as	ADP
cana-6327	122	10	a	a	DET
cana-6327	122	11	hologram	hologram	NOUN
cana-6327	122	12	.	.	PUNCT
cana-6327	122	13	high	high	ADJ
cana-6327	122	14	energy	energy	NOUN
cana-6327	122	15	phys	phy	NOUN
cana-6327	122	16	.	.	PUNCT
cana-6327	123	1	theory	theory	NOUN
cana-6327	123	2	,	,	PUNCT
cana-6327	123	3	36,6377	36,6377	NUM
cana-6327	123	4	-	-	SYM
cana-6327	123	5	6396	6396	NUM
cana-6327	123	6	(	(	PUNCT
cana-6327	123	7	1995	1995	NUM
cana-6327	123	8	)	)	PUNCT
cana-6327	123	9	.	.	PUNCT
cana-6327	124	1	https://doi.org/10.1063/1.531249	https://doi.org/10.1063/1.531249	PROPN
cana-6327	124	2	.	.	PUNCT
cana-6327	125	1	[	[	X
cana-6327	125	2	4	4	X
cana-6327	125	3	]	]	X
cana-6327	125	4	g.	g.	PROPN
cana-6327	125	5	'	'	PROPN
cana-6327	125	6	t	t	PROPN
cana-6327	125	7	hooft	hooft	NOUN
cana-6327	125	8	,	,	PUNCT
cana-6327	125	9	in	in	ADP
cana-6327	125	10	salam	salam	PROPN
cana-6327	125	11	-	-	PUNCT
cana-6327	125	12	festschrift	festschrift	NOUN
cana-6327	125	13	:	:	PUNCT
cana-6327	125	14	a	a	DET
cana-6327	125	15	collection	collection	NOUN
cana-6327	125	16	of	of	ADP
cana-6327	125	17	talks	talk	NOUN
cana-6327	125	18	.	.	PUNCT
cana-6327	126	1	edited	edit	VERB
cana-6327	126	2	by	by	ADP
cana-6327	126	3	a.	a.	PROPN
cana-6327	126	4	ali	ali	PROPN
cana-6327	126	5	,	,	PUNCT
cana-6327	126	6	j.	j.	PROPN
cana-6327	126	7	ellis	ellis	PROPN
cana-6327	126	8	,	,	PUNCT
cana-6327	126	9	and	and	CCONJ
cana-6327	126	10	s.	s.	PROPN
cana-6327	126	11	randjbar	randjbar	PROPN
cana-6327	126	12	-	-	PUNCT
cana-6327	126	13	daemi	daemi	PROPN
cana-6327	126	14	(	(	PUNCT
cana-6327	126	15	world	world	NOUN
cana-6327	126	16	scientific	scientific	PROPN
cana-6327	126	17	,	,	PUNCT
cana-6327	126	18	singapore	singapore	PROPN
cana-6327	126	19	,	,	PUNCT
cana-6327	126	20	1993	1993	NUM
cana-6327	126	21	)	)	PUNCT
cana-6327	126	22	;	;	PUNCT
cana-6327	126	23	arxiv	arxiv	NOUN
cana-6327	126	24	:	:	PUNCT
cana-6327	126	25	gr	gr	PROPN
cana-6327	126	26	-	-	PUNCT
cana-6327	126	27	qc/9310026	qc/9310026	PROPN
cana-6327	126	28	.	.	PUNCT
cana-6327	127	1	[	[	X
cana-6327	127	2	5	5	NUM
cana-6327	127	3	]	]	X
cana-6327	127	4	g.u	g.u	PROPN
cana-6327	127	5	.	.	PROPN
cana-6327	127	6	varieschi	varieschi	PROPN
cana-6327	127	7	,	,	PUNCT
cana-6327	127	8	relativistic	relativistic	ADJ
cana-6327	127	9	fractional	fractional	ADJ
cana-6327	127	10	-	-	PUNCT
cana-6327	127	11	dimension	dimension	NOUN
cana-6327	127	12	gravity	gravity	NOUN
cana-6327	127	13	.	.	PUNCT
cana-6327	128	1	universe	universe	NOUN
cana-6327	128	2	,	,	PUNCT
cana-6327	128	3	7(10	7(10	NUM
cana-6327	128	4	)	)	PUNCT
cana-6327	128	5	,	,	PUNCT
cana-6327	128	6	387(2021	387(2021	NUM
cana-6327	128	7	)	)	PUNCT
cana-6327	128	8	.	.	PUNCT
cana-6327	129	1	10.3390	10.3390	NUM
cana-6327	129	2	/	/	SYM
cana-6327	129	3	universe7100387	universe7100387	PROPN
cana-6327	129	4	[	[	X
cana-6327	129	5	6	6	NUM
cana-6327	129	6	]	]	PUNCT
cana-6327	129	7	j.	j.	PROPN
cana-6327	129	8	brunekreef	brunekreef	PROPN
cana-6327	129	9	,	,	PUNCT
cana-6327	129	10	&	&	CCONJ
cana-6327	129	11	r.	r.	PROPN
cana-6327	129	12	roll	roll	PROPN
cana-6327	129	13	,	,	PUNCT
cana-6327	129	14	quantum	quantum	NOUN
cana-6327	129	15	flatness	flatness	NOUN
cana-6327	129	16	in	in	ADP
cana-6327	129	17	two	two	NUM
cana-6327	129	18	-	-	PUNCT
cana-6327	129	19	dimensional	dimensional	ADJ
cana-6327	129	20	gravity	gravity	NOUN
cana-6327	129	21	.	.	PUNCT
cana-6327	130	1	phys	phy	NOUN
cana-6327	130	2	.	.	PUNCT
cana-6327	131	1	rev	rev	PROPN
cana-6327	131	2	.	.	PROPN
cana-6327	131	3	lett	lett	PROPN
cana-6327	131	4	.	.	PUNCT
cana-6327	132	1	d	d	X
cana-6327	132	2	,	,	PUNCT
cana-6327	132	3	104	104	NUM
cana-6327	132	4	,	,	PUNCT
cana-6327	132	5	126024	126024	NUM
cana-6327	132	6	(	(	PUNCT
cana-6327	132	7	2021	2021	NUM
cana-6327	132	8	)	)	PUNCT
cana-6327	132	9	.	.	PUNCT
cana-6327	133	1	https://doi.org/10.1103/physrevd.104.126024	https://doi.org/10.1103/physrevd.104.126024	NUM
cana-6327	134	1	[	[	X
cana-6327	134	2	7	7	NUM
cana-6327	134	3	]	]	X
cana-6327	134	4	j.d	j.d	PROPN
cana-6327	134	5	.	.	PROPN
cana-6327	134	6	barrow	barrow	PROPN
cana-6327	134	7	,	,	PUNCT
cana-6327	134	8	c.g	c.g	PROPN
cana-6327	134	9	.	.	PROPN
cana-6327	134	10	tsagas	tsagas	PROPN
cana-6327	134	11	,	,	PUNCT
cana-6327	134	12	cosmological	cosmological	ADJ
cana-6327	134	13	magnetic	magnetic	ADJ
cana-6327	134	14	field	field	NOUN
cana-6327	134	15	survival	survival	NOUN
cana-6327	134	16	.	.	PUNCT
cana-6327	135	1	monthly	monthly	ADJ
cana-6327	135	2	notices	notice	NOUN
cana-6327	135	3	of	of	ADP
cana-6327	135	4	the	the	DET
cana-6327	135	5	royal	royal	ADJ
cana-6327	135	6	astronomical	astronomical	ADJ
cana-6327	135	7	society	society	NOUN
cana-6327	135	8	,	,	PUNCT
cana-6327	135	9	414(1	414(1	NUM
cana-6327	135	10	)	)	PUNCT
cana-6327	135	11	,	,	PUNCT
cana-6327	135	12	512	512	NUM
cana-6327	135	13	-	-	SYM
cana-6327	135	14	518	518	NUM
cana-6327	135	15	(	(	PUNCT
cana-6327	135	16	2011	2011	NUM
cana-6327	135	17	)	)	PUNCT
cana-6327	135	18	e	e	NOUN
cana-6327	135	19	-	-	NOUN
cana-6327	135	20	print	print	ADJ
cana-6327	135	21	arxiv	arxiv	NOUN
cana-6327	135	22	:	:	PUNCT
cana-6327	135	23	1101.2390	1101.2390	NUM
cana-6327	136	1	[	[	X
cana-6327	136	2	astro-ph.co	astro-ph.co	X
cana-6327	136	3	]	]	X
cana-6327	136	4	(	(	PUNCT
cana-6327	136	5	2006),10.1111	2006),10.1111	NUM
cana-6327	136	6	/	/	SYM
cana-6327	136	7	j.1365	j.1365	NOUN
cana-6327	136	8	-	-	PUNCT
cana-6327	136	9	2966.2011.18414.x	2966.2011.18414.x	NUM
cana-6327	137	1	[	[	X
cana-6327	137	2	8	8	NUM
cana-6327	137	3	]	]	X
cana-6327	137	4	kris	kris	PROPN
cana-6327	137	5	sigurdson	sigurdson	PROPN
cana-6327	137	6	,	,	PUNCT
cana-6327	137	7	a.	a.	PROPN
cana-6327	137	8	kurylov	kurylov	PROPN
cana-6327	137	9	&	&	CCONJ
cana-6327	137	10	m.	m.	PROPN
cana-6327	137	11	kamionkowski	kamionkowski	PROPN
cana-6327	137	12	,	,	PUNCT
cana-6327	137	13	spatial	spatial	ADJ
cana-6327	137	14	variation	variation	NOUN
cana-6327	137	15	of	of	ADP
cana-6327	137	16	the	the	DET
cana-6327	137	17	fine	fine	ADJ
cana-6327	137	18	structure	structure	NOUN
cana-6327	137	19	parameter	parameter	NOUN
cana-6327	137	20	and	and	CCONJ
cana-6327	137	21	the	the	DET
cana-6327	137	22	cosmic	cosmic	ADJ
cana-6327	137	23	microwave	microwave	NOUN
cana-6327	137	24	background	background	NOUN
cana-6327	137	25	.	.	PUNCT
cana-6327	138	1	physical	physical	ADJ
cana-6327	138	2	review	review	PROPN
cana-6327	138	3	d	d	NOUN
cana-6327	138	4	,	,	PUNCT
cana-6327	138	5	68(10	68(10	NUM
cana-6327	138	6	)	)	PUNCT
cana-6327	138	7	,	,	PUNCT
cana-6327	138	8	103509	103509	NUM
cana-6327	138	9	(	(	PUNCT
cana-6327	138	10	2003	2003	NUM
cana-6327	138	11	)	)	PUNCT
cana-6327	138	12	.	.	PUNCT
cana-6327	139	1	https://doi.org/10.1103/physrevd.68.103509	https://doi.org/10.1103/physrevd.68.103509	INTJ
cana-6327	139	2	.	.	PUNCT
cana-6327	140	1	[	[	X
cana-6327	140	2	9	9	NUM
cana-6327	140	3	]	]	PUNCT
cana-6327	140	4	w.	w.	PROPN
cana-6327	140	5	fischler	fischler	PROPN
cana-6327	140	6	&	&	CCONJ
cana-6327	140	7	l.	l.	PROPN
cana-6327	140	8	susskind	susskind	PROPN
cana-6327	140	9	,	,	PUNCT
cana-6327	140	10	holography	holography	NOUN
cana-6327	140	11	and	and	CCONJ
cana-6327	140	12	cosmology	cosmology	NOUN
cana-6327	140	13	.	.	PUNCT
cana-6327	141	1	e	e	X
cana-6327	141	2	-	-	NOUN
cana-6327	141	3	print	print	ADJ
cana-6327	141	4	arxiv	arxiv	NOUN
cana-6327	141	5	:	:	PUNCT
cana-6327	141	6	hep	hep	NOUN
cana-6327	141	7	-	-	PUNCT
cana-6327	141	8	th/9806039	th/9806039	PROPN
cana-6327	141	9	(	(	PUNCT
cana-6327	141	10	1998	1998	NUM
cana-6327	141	11	)	)	PUNCT
cana-6327	141	12	.	.	PUNCT
cana-6327	142	1	https://arxiv.org/abs/hep-th/9806039	https://arxiv.org/abs/hep-th/9806039	PROPN
cana-6327	142	2	.	.	PUNCT
cana-6327	143	1	[	[	X
cana-6327	143	2	10	10	NUM
cana-6327	143	3	]	]	PUNCT
cana-6327	143	4	a.	a.	NOUN
cana-6327	143	5	samaddar	samaddar	NOUN
cana-6327	143	6	,	,	PUNCT
cana-6327	143	7	s.s	s.s	PROPN
cana-6327	143	8	.	.	PROPN
cana-6327	143	9	singh	singh	PROPN
cana-6327	143	10	,	,	PUNCT
cana-6327	143	11	s.	s.	PROPN
cana-6327	143	12	muhammad	muhammad	PROPN
cana-6327	143	13	&	&	CCONJ
cana-6327	143	14	e.e	e.e	PROPN
cana-6327	143	15	.	.	PROPN
cana-6327	143	16	zotos	zotos	PROPN
cana-6327	143	17	,	,	PUNCT
cana-6327	143	18	holographic	holographic	ADJ
cana-6327	143	19	dark	dark	ADJ
cana-6327	143	20	energy	energy	NOUN
cana-6327	143	21	models	model	NOUN
cana-6327	143	22	and	and	CCONJ
cana-6327	143	23	their	their	PRON
cana-6327	143	24	behaviors	behavior	NOUN
cana-6327	143	25	within	within	ADP
cana-6327	143	26	the	the	DET
cana-6327	143	27	framework	framework	NOUN
cana-6327	143	28	of	of	ADP
cana-6327	143	29	f(q	f(q	PROPN
cana-6327	143	30	,	,	PUNCT
cana-6327	143	31	c	c	NOUN
cana-6327	143	32	)	)	PUNCT
cana-6327	143	33	gravity	gravity	NOUN
cana-6327	143	34	theory	theory	NOUN
cana-6327	143	35	.	.	PUNCT
cana-6327	144	1	j.	j.	PROPN
cana-6327	144	2	high	high	PROPN
cana-6327	144	3	ener	ener	PROPN
cana-6327	144	4	.	.	PUNCT
cana-6327	145	1	astrophys	astrophy	NOUN
cana-6327	145	2	.	.	PUNCT
cana-6327	146	1	,44	,44	PUNCT
cana-6327	146	2	,	,	PUNCT
cana-6327	146	3	1	1	NUM
cana-6327	146	4	-	-	SYM
cana-6327	146	5	18	18	NUM
cana-6327	146	6	(	(	PUNCT
cana-6327	146	7	2024	2024	NUM
cana-6327	146	8	)	)	PUNCT
cana-6327	146	9	.	.	PUNCT
cana-6327	147	1	https://doi.org/10.1016/j.jheap.2024.09.001	https://doi.org/10.1016/j.jheap.2024.09.001	PROPN
cana-6327	148	1	[	[	X
cana-6327	148	2	11	11	NUM
cana-6327	148	3	]	]	PUNCT
cana-6327	148	4	r.	r.	PROPN
cana-6327	148	5	dawid	dawid	PROPN
cana-6327	148	6	,	,	PUNCT
cana-6327	148	7	holographic	holographic	ADJ
cana-6327	148	8	cosmology	cosmology	NOUN
cana-6327	148	9	and	and	CCONJ
cana-6327	148	10	its	its	PRON
cana-6327	148	11	relevant	relevant	ADJ
cana-6327	148	12	degrees	degree	NOUN
cana-6327	148	13	of	of	ADP
cana-6327	148	14	freedom	freedom	NOUN
cana-6327	148	15	.	.	PUNCT
cana-6327	149	1	e	e	X
cana-6327	149	2	-	-	NOUN
cana-6327	149	3	print	print	ADJ
cana-6327	149	4	arxiv	arxiv	NOUN
cana-6327	149	5	:	:	PUNCT
cana-6327	149	6	hep	hep	PROPN
cana-6327	149	7	-	-	PROPN
cana-6327	149	8	th/9907115	th/9907115	PROPN
cana-6327	149	9	(	(	PUNCT
cana-6327	149	10	1999	1999	NUM
cana-6327	149	11	)	)	PUNCT
cana-6327	149	12	.	.	PUNCT
cana-6327	150	1	https://arxiv.org/abs/hep-th/9907115	https://arxiv.org/abs/hep-th/9907115	PROPN
cana-6327	150	2	.	.	PUNCT
cana-6327	151	1	[	[	X
cana-6327	151	2	12	12	NUM
cana-6327	151	3	]	]	X
cana-6327	151	4	n.	n.	NOUN
cana-6327	151	5	kaloper	kaloper	NOUN
cana-6327	151	6	,	,	PUNCT
cana-6327	151	7	a.	a.	PROPN
cana-6327	151	8	linde	linde	PROPN
cana-6327	151	9	&	&	CCONJ
cana-6327	151	10	r.	r.	PROPN
cana-6327	151	11	bousso	bousso	PROPN
cana-6327	151	12	,	,	PUNCT
cana-6327	151	13	pre	pre	ADJ
cana-6327	151	14	-	-	ADJ
cana-6327	151	15	big	big	ADJ
cana-6327	151	16	-	-	PUNCT
cana-6327	151	17	bang	bang	NOUN
cana-6327	151	18	requires	require	VERB
cana-6327	151	19	the	the	DET
cana-6327	151	20	universe	universe	NOUN
cana-6327	151	21	to	to	PART
cana-6327	151	22	be	be	AUX
cana-6327	151	23	exponentially	exponentially	ADV
cana-6327	151	24	large	large	ADJ
cana-6327	151	25	from	from	ADP
cana-6327	151	26	the	the	DET
cana-6327	151	27	very	very	ADJ
cana-6327	151	28	beginning	beginning	NOUN
cana-6327	151	29	.	.	PUNCT
cana-6327	152	1	phys	phy	NOUN
cana-6327	152	2	.	.	PUNCT
cana-6327	153	1	rev	rev	PROPN
cana-6327	153	2	.	.	PROPN
cana-6327	154	1	d	d	X
cana-6327	154	2	,	,	PUNCT
cana-6327	154	3	59(4	59(4	NUM
cana-6327	154	4	)	)	PUNCT
cana-6327	154	5	,	,	PUNCT
cana-6327	154	6	043508(1999	043508(1999	NUM
cana-6327	154	7	)	)	PUNCT
cana-6327	154	8	.	.	PUNCT
cana-6327	155	1	https://doi.org/10.1103/physrevd.59.043508	https://doi.org/10.1103/physrevd.59.043508	PROPN
cana-6327	155	2	.	.	PUNCT
cana-6327	156	1	[	[	X
cana-6327	156	2	13	13	NUM
cana-6327	156	3	]	]	X
cana-6327	156	4	s.k	s.k	PROPN
cana-6327	156	5	.	.	PROPN
cana-6327	156	6	rama	rama	PROPN
cana-6327	156	7	,	,	PUNCT
cana-6327	156	8	a	a	DET
cana-6327	156	9	string	string	NOUN
cana-6327	156	10	correspondence	correspondence	NOUN
cana-6327	156	11	principle	principle	NOUN
cana-6327	156	12	in	in	ADP
cana-6327	156	13	cosmology	cosmology	NOUN
cana-6327	156	14	.	.	PUNCT
cana-6327	157	1	phys	phy	NOUN
cana-6327	157	2	.	.	PUNCT
cana-6327	158	1	lett	lett	PROPN
cana-6327	158	2	.	.	PUNCT
cana-6327	159	1	b	b	X
cana-6327	159	2	,	,	PUNCT
cana-6327	159	3	638(2	638(2	NUM
cana-6327	159	4	-	-	SYM
cana-6327	159	5	3	3	NUM
cana-6327	159	6	)	)	PUNCT
cana-6327	159	7	,	,	PUNCT
cana-6327	159	8	100–104(2006	100–104(2006	NUM
cana-6327	159	9	)	)	PUNCT
cana-6327	159	10	.	.	PUNCT
cana-6327	160	1	https://doi.org/10.1016/j.physletb.2006.05.047	https://doi.org/10.1016/j.physletb.2006.05.047	PROPN
cana-6327	160	2	.	.	PUNCT
cana-6327	161	1	https://doi.org/10.1080/1726037x.2022.2079267	https://doi.org/10.1080/1726037x.2022.2079267	PROPN
cana-6327	161	2	https://doi.org/10.3390/axioms11110605	https://doi.org/10.3390/axioms11110605	PROPN
cana-6327	162	1	https://doi.org/10.1063/1.531249	https://doi.org/10.1063/1.531249	PROPN
cana-6327	162	2	http://dx.doi.org/10.3390/universe7100387	http://dx.doi.org/10.3390/universe7100387	PROPN
cana-6327	162	3	https://doi.org/10.1103/physrevd.104.126024	https://doi.org/10.1103/physrevd.104.126024	NUM
cana-6327	162	4	https://arxiv.org/abs/1101.2390	https://arxiv.org/abs/1101.2390	ADJ
cana-6327	162	5	https://doi.org/10.1111/j.1365-2966.2011.18414.x	https://doi.org/10.1111/j.1365-2966.2011.18414.x	VERB
cana-6327	162	6	https://doi.org/10.1103/physrevd.68.103509	https://doi.org/10.1103/physrevd.68.103509	NOUN
cana-6327	162	7	https://arxiv.org/abs/hep-th/9806039	https://arxiv.org/abs/hep-th/9806039	PROPN
cana-6327	162	8	https://doi.org/10.1016/j.jheap.2024.09.001	https://doi.org/10.1016/j.jheap.2024.09.001	PROPN
cana-6327	162	9	https://arxiv.org/abs/hep-th/9907115	https://arxiv.org/abs/hep-th/9907115	PROPN
cana-6327	162	10	https://doi.org/10.1103/physrevd.59.043508	https://doi.org/10.1103/physrevd.59.043508	NOUN
cana-6327	162	11	https://doi.org/10.1016/j.physletb.2006.05.047	https://doi.org/10.1016/j.physletb.2006.05.047	NOUN
cana-6327	162	12	communications	communication	NOUN
cana-6327	162	13	on	on	ADP
cana-6327	162	14	applied	apply	VERB
cana-6327	162	15	nonlinear	nonlinear	ADJ
cana-6327	162	16	analysis	analysis	NOUN
cana-6327	162	17	issn	issn	NOUN
cana-6327	162	18	:	:	PUNCT
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cana-6327	162	20	-	-	PUNCT
cana-6327	162	21	133x	133x	NUM
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cana-6327	162	23	31	31	NUM
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cana-6327	163	3	2024	2024	NUM
cana-6327	163	4	)	)	PUNCT
cana-6327	163	5	1261	1261	NUM
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cana-6327	164	2	14	14	NUM
cana-6327	164	3	]	]	X
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cana-6327	164	11	r.k	r.k	PROPN
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cana-6327	164	13	pradhan	pradhan	PROPN
cana-6327	164	14	,	,	PUNCT
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cana-6327	164	16	holography	holography	NOUN
cana-6327	164	17	hypothesis	hypothesis	NOUN
cana-6327	164	18	and	and	CCONJ
cana-6327	164	19	pre	pre	ADJ
cana-6327	164	20	-	-	ADJ
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cana-6327	167	4	)	)	PUNCT
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cana-6327	169	3	]	]	PUNCT
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cana-6327	171	1	phys	phy	NOUN
cana-6327	171	2	,	,	PUNCT
cana-6327	171	3	1998(02	1998(02	NUM
cana-6327	171	4	)	)	PUNCT
cana-6327	171	5	,	,	PUNCT
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cana-6327	171	7	)	)	PUNCT
cana-6327	171	8	.	.	PUNCT
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cana-6327	173	2	16	16	NUM
cana-6327	173	3	]	]	X
cana-6327	173	4	e.	e.	PROPN
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cana-6327	173	6	,	,	PUNCT
cana-6327	173	7	c.	c.	PROPN
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cana-6327	173	10	&	&	CCONJ
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cana-6327	173	12	licata	licata	PROPN
cana-6327	173	13	,	,	PUNCT
cana-6327	173	14	equivalence	equivalence	NOUN
cana-6327	173	15	principle	principle	NOUN
cana-6327	173	16	and	and	CCONJ
cana-6327	173	17	machin	machin	ADJ
cana-6327	173	18	origin	origin	NOUN
cana-6327	173	19	of	of	ADP
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cana-6327	176	2	.	.	PUNCT
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cana-6327	177	2	,	,	PUNCT
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cana-6327	177	4	)	)	PUNCT
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cana-6327	178	4	]	]	X
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cana-6327	188	6	)	)	PUNCT
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cana-6327	194	6	)	)	PUNCT
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cana-6327	195	2	-	-	SYM
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cana-6327	209	22	thermodynamics	thermodynamic	NOUN
cana-6327	209	23	of	of	ADP
cana-6327	209	24	born	bear	VERB
cana-6327	209	25	-	-	PUNCT
cana-6327	209	26	infeld	infeld	ADJ
cana-6327	209	27	btz	btz	NOUN
cana-6327	209	28	black	black	ADJ
cana-6327	209	29	holes	hole	NOUN
cana-6327	209	30	in	in	ADP
cana-6327	209	31	massive	massive	ADJ
cana-6327	209	32	gravity	gravity	NOUN
cana-6327	209	33	.	.	PUNCT
cana-6327	210	1	modern	modern	ADJ
cana-6327	210	2	physics	physics	NOUN
cana-6327	210	3	letter	letter	NOUN
cana-6327	210	4	a	a	PRON
cana-6327	210	5	,	,	PUNCT
cana-6327	210	6	37(4),2250085(2022	37(4),2250085(2022	NUM
cana-6327	210	7	)	)	PUNCT
cana-6327	210	8	.	.	PUNCT
cana-6327	211	1	https://doi.org/10.1142/s0217732322502303	https://doi.org/10.1142/s0217732322502303	NUM
cana-6327	211	2	[	[	X
cana-6327	211	3	26	26	NUM
cana-6327	211	4	]	]	PUNCT
cana-6327	211	5	s.	s.	PROPN
cana-6327	211	6	islam	islam	PROPN
cana-6327	211	7	,	,	PUNCT
cana-6327	211	8	p.k	p.k	PROPN
cana-6327	211	9	.	.	PROPN
cana-6327	211	10	dhankar	dhankar	PROPN
cana-6327	211	11	,	,	PUNCT
cana-6327	211	12	g.s	g.s	PROPN
cana-6327	211	13	.	.	PROPN
cana-6327	211	14	khadekar	khadekar	PROPN
cana-6327	211	15	&	&	CCONJ
cana-6327	211	16	t.	t.	PROPN
cana-6327	211	17	das	das	PROPN
cana-6327	211	18	,	,	PUNCT
cana-6327	211	19	(	(	PUNCT
cana-6327	211	20	2	2	NUM
cana-6327	211	21	+	+	NOUN
cana-6327	211	22	1	1	NUM
cana-6327	211	23	)	)	PUNCT
cana-6327	211	24	dimensional	dimensional	ADJ
cana-6327	211	25	cosmological	cosmological	ADJ
cana-6327	211	26	models	model	NOUN
cana-6327	211	27	in	in	ADP
cana-6327	211	28	f	f	PROPN
cana-6327	211	29	(	(	PUNCT
cana-6327	211	30	r	r	PROPN
cana-6327	211	31	,	,	PUNCT
cana-6327	211	32	t	t	NOUN
cana-6327	211	33	)	)	PUNCT
cana-6327	211	34	gravity	gravity	NOUN
cana-6327	211	35	with	with	ADP
cana-6327	211	36	(	(	PUNCT
cana-6327	211	37	r	r	NOUN
cana-6327	211	38	,	,	PUNCT
cana-6327	211	39	t	t	PROPN
cana-6327	211	40	)	)	PUNCT
cana-6327	211	41	.	.	PUNCT
cana-6327	212	1	in	in	ADP
cana-6327	212	2	journal	journal	PROPN
cana-6327	212	3	of	of	ADP
cana-6327	212	4	physics	physics	PROPN
cana-6327	212	5	:	:	PUNCT
cana-6327	212	6	conference	conference	NOUN
cana-6327	212	7	series	series	NOUN
cana-6327	212	8	(	(	PUNCT
cana-6327	212	9	iop	iop	NOUN
cana-6327	212	10	publishing	publishing	NOUN
cana-6327	212	11	,	,	PUNCT
cana-6327	212	12	2019	2019	NUM
cana-6327	212	13	)	)	PUNCT
cana-6327	212	14	,	,	PUNCT
cana-6327	212	15	1258(1	1258(1	NUM
cana-6327	212	16	)	)	PUNCT
cana-6327	212	17	,	,	PUNCT
cana-6327	212	18	012026(2019	012026(2019	NUM
cana-6327	212	19	)	)	PUNCT
cana-6327	212	20	.	.	PUNCT
cana-6327	213	1	https://doi.org/10.1088/17426596/1258/1/012026	https://doi.org/10.1088/17426596/1258/1/012026	PROPN
cana-6327	213	2	.	.	PUNCT
cana-6327	214	1	https://doi.org/10.1016/s0370-2693(99)00934-x	https://doi.org/10.1016/s0370-2693(99)00934-x	PROPN
cana-6327	215	1	https://doi.org/10.1088/1126-6708/1998/02/009	https://doi.org/10.1088/1126-6708/1998/02/009	PROPN
cana-6327	215	2	https://doi.org/10.1142/s0218271824410153	https://doi.org/10.1142/s0218271824410153	PROPN
cana-6327	215	3	https://doi.org/10.1088/1402-4896/ac49b2	https://doi.org/10.1088/1402-4896/ac49b2	PROPN
cana-6327	215	4	https://doi.org/10.3390/sym13010100	https://doi.org/10.3390/sym13010100	NOUN
cana-6327	215	5	https://doi.org/10.1016/s0370-2693(99)01128-5	https://doi.org/10.1016/s0370-2693(99)01128-5	PROPN
cana-6327	216	1	https://doi.org/10.1007/jhep01(2024)040	https://doi.org/10.1007/jhep01(2024)040	PROPN
cana-6327	216	2	https://doi.org/10.1142/s0218271813500612	https://doi.org/10.1142/s0218271813500612	PROPN
cana-6327	216	3	https://doi.org/10.1007/s12036-019-9606-1	https://doi.org/10.1007/s12036-019-9606-1	NOUN
cana-6327	216	4	https://doi.org/10.1088/0264-9381/15/11/020	https://doi.org/10.1088/0264-9381/15/11/020	VERB
cana-6327	216	5	https://doi.org/10.1142/s0217732322502303	https://doi.org/10.1142/s0217732322502303	NUM
cana-6327	216	6	https://doi.org/10.1088/1742-6596/1258/1/012026	https://doi.org/10.1088/1742-6596/1258/1/012026	PROPN
cana-6327	216	7	https://doi.org/10.1088/1742-6596/1258/1/012026	https://doi.org/10.1088/1742-6596/1258/1/012026	PROPN