id	sid	tid	token	lemma	pos
app01-2340	1	1	20	20	NUM
app01-2340	1	2	acta	acta	PROPN
app01-2340	1	3	polytechnica	polytechnica	PROPN
app01-2340	1	4	ctu	ctu	NOUN
app01-2340	1	5	proceedings	proceeding	NOUN
app01-2340	1	6	1(1	1(1	NUM
app01-2340	1	7	):	):	PUNCT
app01-2340	1	8	20–26	20–26	NUM
app01-2340	1	9	,	,	PUNCT
app01-2340	1	10	2014	2014	NUM
app01-2340	1	11	20	20	NUM
app01-2340	1	12	doi	doi	NOUN
app01-2340	1	13	:	:	PUNCT
app01-2340	1	14	10.14311	10.14311	NUM
app01-2340	1	15	/	/	SYM
app01-2340	1	16	app.2014.01.0020	app.2014.01.0020	NOUN
app01-2340	1	17	gravitational	gravitational	ADJ
app01-2340	1	18	waves	wave	NOUN
app01-2340	1	19	and	and	CCONJ
app01-2340	1	20	dark	dark	ADJ
app01-2340	1	21	energy	energy	NOUN
app01-2340	1	22	peter	peter	PROPN
app01-2340	1	23	l.	l.	PROPN
app01-2340	1	24	biermann1,2,3,4,5	biermann1,2,3,4,5	PROPN
app01-2340	1	25	,	,	PUNCT
app01-2340	1	26	benjamin	benjamin	PROPN
app01-2340	1	27	c.	c.	PROPN
app01-2340	1	28	harms1	harms1	PROPN
app01-2340	1	29	1department	1department	NUM
app01-2340	1	30	of	of	ADP
app01-2340	1	31	physics	physics	NOUN
app01-2340	1	32	and	and	CCONJ
app01-2340	1	33	astronomy	astronomy	NOUN
app01-2340	1	34	,	,	PUNCT
app01-2340	1	35	the	the	DET
app01-2340	1	36	university	university	NOUN
app01-2340	1	37	of	of	ADP
app01-2340	1	38	alabama	alabama	PROPN
app01-2340	1	39	,	,	PUNCT
app01-2340	1	40	box	box	PROPN
app01-2340	1	41	870324	870324	NUM
app01-2340	1	42	,	,	PUNCT
app01-2340	1	43	tuscaloosa	tuscaloosa	PROPN
app01-2340	1	44	,	,	PUNCT
app01-2340	1	45	al	al	PROPN
app01-2340	1	46	35487	35487	NUM
app01-2340	1	47	-	-	SYM
app01-2340	1	48	0324	0324	NUM
app01-2340	1	49	,	,	PUNCT
app01-2340	1	50	usa	usa	PROPN
app01-2340	1	51	2mpi	2mpi	PROPN
app01-2340	1	52	for	for	ADP
app01-2340	1	53	radioastronomy	radioastronomy	NOUN
app01-2340	1	54	,	,	PUNCT
app01-2340	1	55	bonn	bonn	PROPN
app01-2340	1	56	,	,	PUNCT
app01-2340	1	57	germany	germany	PROPN
app01-2340	1	58	3karlsruhe	3karlsruhe	NUM
app01-2340	1	59	institute	institute	PROPN
app01-2340	1	60	of	of	ADP
app01-2340	1	61	technology	technology	PROPN
app01-2340	1	62	(	(	PUNCT
app01-2340	1	63	kit	kit	NOUN
app01-2340	1	64	)	)	PUNCT
app01-2340	1	65	institut	institut	PROPN
app01-2340	1	66	für	für	PROPN
app01-2340	1	67	kernphysik	kernphysik	PROPN
app01-2340	1	68	,	,	PUNCT
app01-2340	1	69	germany	germany	PROPN
app01-2340	1	70	4department	4department	NUM
app01-2340	1	71	of	of	ADP
app01-2340	1	72	physics	physics	PROPN
app01-2340	1	73	,	,	PUNCT
app01-2340	1	74	university	university	PROPN
app01-2340	1	75	of	of	ADP
app01-2340	1	76	alabama	alabama	PROPN
app01-2340	1	77	at	at	ADP
app01-2340	1	78	huntsville	huntsville	PROPN
app01-2340	1	79	,	,	PUNCT
app01-2340	1	80	al	al	PROPN
app01-2340	1	81	,	,	PUNCT
app01-2340	1	82	usa	usa	PROPN
app01-2340	1	83	5department	5department	NUM
app01-2340	1	84	of	of	ADP
app01-2340	1	85	physics	physics	PROPN
app01-2340	1	86	&	&	CCONJ
app01-2340	1	87	astronomy	astronomy	PROPN
app01-2340	1	88	,	,	PUNCT
app01-2340	1	89	university	university	PROPN
app01-2340	1	90	of	of	ADP
app01-2340	1	91	bonn	bonn	PROPN
app01-2340	1	92	,	,	PUNCT
app01-2340	1	93	germany	germany	PROPN
app01-2340	1	94	corresponding	corresponding	ADJ
app01-2340	1	95	author	author	NOUN
app01-2340	1	96	:	:	PUNCT
app01-2340	1	97	bharms@bama.ua.edu	bharms@bama.ua.edu	X
app01-2340	1	98	abstract	abstract	NOUN
app01-2340	1	99	the	the	DET
app01-2340	1	100	idea	idea	NOUN
app01-2340	1	101	that	that	SCONJ
app01-2340	1	102	dark	dark	ADJ
app01-2340	1	103	energy	energy	NOUN
app01-2340	1	104	is	be	AUX
app01-2340	1	105	gravitational	gravitational	ADJ
app01-2340	1	106	waves	wave	NOUN
app01-2340	1	107	may	may	AUX
app01-2340	1	108	explain	explain	VERB
app01-2340	1	109	its	its	PRON
app01-2340	1	110	strength	strength	NOUN
app01-2340	1	111	and	and	CCONJ
app01-2340	1	112	its	its	PRON
app01-2340	1	113	time	time	NOUN
app01-2340	1	114	-	-	PUNCT
app01-2340	1	115	evolution	evolution	NOUN
app01-2340	1	116	.	.	PUNCT
app01-2340	2	1	a	a	DET
app01-2340	2	2	possible	possible	ADJ
app01-2340	2	3	concept	concept	NOUN
app01-2340	2	4	is	be	AUX
app01-2340	2	5	that	that	SCONJ
app01-2340	2	6	dark	dark	ADJ
app01-2340	2	7	energy	energy	NOUN
app01-2340	2	8	is	be	AUX
app01-2340	2	9	the	the	DET
app01-2340	2	10	ensemble	ensemble	ADJ
app01-2340	2	11	of	of	ADP
app01-2340	2	12	coherent	coherent	ADJ
app01-2340	2	13	bursts	burst	NOUN
app01-2340	2	14	(	(	PUNCT
app01-2340	2	15	solitons	soliton	NOUN
app01-2340	2	16	)	)	PUNCT
app01-2340	2	17	of	of	ADP
app01-2340	2	18	gravitational	gravitational	ADJ
app01-2340	2	19	waves	wave	NOUN
app01-2340	2	20	originally	originally	ADV
app01-2340	2	21	produced	produce	VERB
app01-2340	2	22	when	when	SCONJ
app01-2340	2	23	the	the	DET
app01-2340	2	24	first	first	ADJ
app01-2340	2	25	generation	generation	NOUN
app01-2340	2	26	of	of	ADP
app01-2340	2	27	super	super	ADJ
app01-2340	2	28	-	-	ADJ
app01-2340	2	29	massive	massive	ADJ
app01-2340	2	30	black	black	ADJ
app01-2340	2	31	holes	hole	NOUN
app01-2340	2	32	was	be	AUX
app01-2340	2	33	formed	form	VERB
app01-2340	2	34	.	.	PUNCT
app01-2340	3	1	these	these	DET
app01-2340	3	2	solitons	soliton	NOUN
app01-2340	3	3	get	get	VERB
app01-2340	3	4	their	their	PRON
app01-2340	3	5	initial	initial	ADJ
app01-2340	3	6	energy	energy	NOUN
app01-2340	3	7	as	as	ADV
app01-2340	3	8	well	well	ADV
app01-2340	3	9	as	as	ADP
app01-2340	3	10	keep	keep	VERB
app01-2340	3	11	up	up	ADP
app01-2340	3	12	their	their	PRON
app01-2340	3	13	energy	energy	NOUN
app01-2340	3	14	density	density	NOUN
app01-2340	3	15	throughout	throughout	ADP
app01-2340	3	16	the	the	DET
app01-2340	3	17	evolution	evolution	NOUN
app01-2340	3	18	of	of	ADP
app01-2340	3	19	the	the	DET
app01-2340	3	20	universe	universe	NOUN
app01-2340	3	21	by	by	ADP
app01-2340	3	22	stimulating	stimulate	VERB
app01-2340	3	23	emission	emission	NOUN
app01-2340	3	24	from	from	ADP
app01-2340	3	25	a	a	DET
app01-2340	3	26	background	background	NOUN
app01-2340	3	27	,	,	PUNCT
app01-2340	3	28	a	a	DET
app01-2340	3	29	process	process	NOUN
app01-2340	3	30	which	which	PRON
app01-2340	3	31	we	we	PRON
app01-2340	3	32	model	model	VERB
app01-2340	3	33	by	by	ADP
app01-2340	3	34	working	work	VERB
app01-2340	3	35	out	out	ADP
app01-2340	3	36	this	this	DET
app01-2340	3	37	energy	energy	NOUN
app01-2340	3	38	transfer	transfer	NOUN
app01-2340	3	39	in	in	ADP
app01-2340	3	40	a	a	DET
app01-2340	3	41	boltzmann	boltzmann	NOUN
app01-2340	3	42	equation	equation	NOUN
app01-2340	3	43	approach	approach	NOUN
app01-2340	3	44	.	.	PUNCT
app01-2340	4	1	new	new	ADJ
app01-2340	4	2	planck	planck	NOUN
app01-2340	4	3	data	datum	NOUN
app01-2340	4	4	suggest	suggest	VERB
app01-2340	4	5	that	that	SCONJ
app01-2340	4	6	dark	dark	ADJ
app01-2340	4	7	energy	energy	NOUN
app01-2340	4	8	has	have	AUX
app01-2340	4	9	increased	increase	VERB
app01-2340	4	10	in	in	ADP
app01-2340	4	11	strength	strength	NOUN
app01-2340	4	12	over	over	ADP
app01-2340	4	13	cosmic	cosmic	ADJ
app01-2340	4	14	time	time	NOUN
app01-2340	4	15	,	,	PUNCT
app01-2340	4	16	supporting	support	VERB
app01-2340	4	17	the	the	DET
app01-2340	4	18	concept	concept	NOUN
app01-2340	4	19	here	here	ADV
app01-2340	4	20	.	.	PUNCT
app01-2340	5	1	the	the	DET
app01-2340	5	2	transit	transit	NOUN
app01-2340	5	3	of	of	ADP
app01-2340	5	4	these	these	DET
app01-2340	5	5	gravitational	gravitational	ADJ
app01-2340	5	6	wave	wave	NOUN
app01-2340	5	7	solitons	soliton	NOUN
app01-2340	5	8	may	may	AUX
app01-2340	5	9	be	be	AUX
app01-2340	5	10	detectable	detectable	ADJ
app01-2340	5	11	.	.	PUNCT
app01-2340	6	1	key	key	ADJ
app01-2340	6	2	tests	test	NOUN
app01-2340	6	3	include	include	VERB
app01-2340	6	4	pulsar	pulsar	PROPN
app01-2340	6	5	timing	timing	NOUN
app01-2340	6	6	,	,	PUNCT
app01-2340	6	7	clock	clock	VERB
app01-2340	6	8	jitter	jitter	NOUN
app01-2340	6	9	and	and	CCONJ
app01-2340	6	10	the	the	DET
app01-2340	6	11	radio	radio	NOUN
app01-2340	6	12	background	background	NOUN
app01-2340	6	13	.	.	PUNCT
app01-2340	7	1	keywords	keyword	NOUN
app01-2340	7	2	:	:	PUNCT
app01-2340	7	3	cosmology	cosmology	PROPN
app01-2340	7	4	dark	dark	ADJ
app01-2340	7	5	energy	energy	NOUN
app01-2340	7	6	black	black	ADJ
app01-2340	7	7	holes	hole	NOUN
app01-2340	7	8	gravitational	gravitational	ADJ
app01-2340	7	9	waves	wave	NOUN
app01-2340	7	10	.	.	PUNCT
app01-2340	8	1	1	1	NUM
app01-2340	8	2	introduction	introduction	NOUN
app01-2340	8	3	dark	dark	ADJ
app01-2340	8	4	energy	energy	NOUN
app01-2340	8	5	was	be	AUX
app01-2340	8	6	originally	originally	ADV
app01-2340	8	7	detected	detect	VERB
app01-2340	8	8	as	as	ADP
app01-2340	8	9	accelerated	accelerate	VERB
app01-2340	8	10	expansion	expansion	NOUN
app01-2340	8	11	seen	see	VERB
app01-2340	8	12	in	in	ADP
app01-2340	8	13	the	the	DET
app01-2340	8	14	distance	distance	NOUN
app01-2340	8	15	scale	scale	NOUN
app01-2340	8	16	for	for	ADP
app01-2340	8	17	supernovae	supernovae	NOUN
app01-2340	8	18	of	of	ADP
app01-2340	8	19	type	type	NOUN
app01-2340	8	20	ia	ia	PROPN
app01-2340	8	21	(	(	PUNCT
app01-2340	8	22	schmidt	schmidt	PROPN
app01-2340	8	23	et	et	PROPN
app01-2340	8	24	al	al	PROPN
app01-2340	8	25	.	.	PROPN
app01-2340	8	26	,	,	PUNCT
app01-2340	8	27	1998	1998	NUM
app01-2340	8	28	,	,	PUNCT
app01-2340	8	29	riess	riess	PROPN
app01-2340	8	30	et	et	PROPN
app01-2340	8	31	al	al	PROPN
app01-2340	8	32	.	.	PROPN
app01-2340	8	33	1999	1999	NUM
app01-2340	8	34	,	,	PUNCT
app01-2340	8	35	perlmutter	perlmutter	PROPN
app01-2340	8	36	et	et	PROPN
app01-2340	8	37	al	al	PROPN
app01-2340	8	38	.	.	PROPN
app01-2340	8	39	1999	1999	NUM
app01-2340	8	40	;	;	PUNCT
app01-2340	8	41	for	for	ADP
app01-2340	8	42	a	a	DET
app01-2340	8	43	review	review	NOUN
app01-2340	8	44	see	see	VERB
app01-2340	8	45	frieman	frieman	PROPN
app01-2340	8	46	et	et	PROPN
app01-2340	8	47	al	al	PROPN
app01-2340	8	48	.	.	PROPN
app01-2340	8	49	2008	2008	NUM
app01-2340	8	50	)	)	PUNCT
app01-2340	8	51	.	.	PUNCT
app01-2340	9	1	many	many	ADJ
app01-2340	9	2	suggestions	suggestion	NOUN
app01-2340	9	3	have	have	AUX
app01-2340	9	4	been	be	AUX
app01-2340	9	5	made	make	VERB
app01-2340	9	6	about	about	ADP
app01-2340	9	7	what	what	PRON
app01-2340	9	8	dark	dark	ADJ
app01-2340	9	9	energy	energy	NOUN
app01-2340	9	10	is	be	AUX
app01-2340	9	11	,	,	PUNCT
app01-2340	9	12	what	what	PRON
app01-2340	9	13	its	its	PRON
app01-2340	9	14	strength	strength	NOUN
app01-2340	9	15	is	be	AUX
app01-2340	9	16	,	,	PUNCT
app01-2340	9	17	what	what	PRON
app01-2340	9	18	its	its	PRON
app01-2340	9	19	time	time	NOUN
app01-2340	9	20	evolution	evolution	NOUN
app01-2340	9	21	is	be	AUX
app01-2340	9	22	,	,	PUNCT
app01-2340	9	23	and	and	CCONJ
app01-2340	9	24	what	what	DET
app01-2340	9	25	possible	possible	ADJ
app01-2340	9	26	further	further	ADJ
app01-2340	9	27	observational	observational	ADJ
app01-2340	9	28	results	result	NOUN
app01-2340	9	29	are	be	AUX
app01-2340	9	30	.	.	PUNCT
app01-2340	10	1	the	the	DET
app01-2340	10	2	idea	idea	NOUN
app01-2340	10	3	that	that	SCONJ
app01-2340	10	4	dark	dark	ADJ
app01-2340	10	5	energy	energy	NOUN
app01-2340	10	6	is	be	AUX
app01-2340	10	7	gravitational	gravitational	ADJ
app01-2340	10	8	waves	wave	NOUN
app01-2340	10	9	may	may	AUX
app01-2340	10	10	explain	explain	VERB
app01-2340	10	11	its	its	PRON
app01-2340	10	12	strength	strength	NOUN
app01-2340	10	13	and	and	CCONJ
app01-2340	10	14	its	its	PRON
app01-2340	10	15	time	time	NOUN
app01-2340	10	16	-	-	PUNCT
app01-2340	10	17	evolution	evolution	NOUN
app01-2340	10	18	.	.	PUNCT
app01-2340	11	1	one	one	NUM
app01-2340	11	2	possible	possible	ADJ
app01-2340	11	3	concept	concept	NOUN
app01-2340	11	4	is	be	AUX
app01-2340	11	5	that	that	SCONJ
app01-2340	11	6	dark	dark	ADJ
app01-2340	11	7	energy	energy	NOUN
app01-2340	11	8	is	be	AUX
app01-2340	11	9	the	the	DET
app01-2340	11	10	ensemble	ensemble	ADJ
app01-2340	11	11	of	of	ADP
app01-2340	11	12	coherent	coherent	ADJ
app01-2340	11	13	bursts	burst	NOUN
app01-2340	11	14	(	(	PUNCT
app01-2340	11	15	solitons	soliton	NOUN
app01-2340	11	16	)	)	PUNCT
app01-2340	11	17	of	of	ADP
app01-2340	11	18	gravitational	gravitational	ADJ
app01-2340	11	19	waves	wave	NOUN
app01-2340	11	20	originally	originally	ADV
app01-2340	11	21	produced	produce	VERB
app01-2340	11	22	when	when	SCONJ
app01-2340	11	23	the	the	DET
app01-2340	11	24	first	first	ADJ
app01-2340	11	25	generation	generation	NOUN
app01-2340	11	26	of	of	ADP
app01-2340	11	27	supermassive	supermassive	ADJ
app01-2340	11	28	back	back	ADJ
app01-2340	11	29	holes	hole	NOUN
app01-2340	11	30	was	be	AUX
app01-2340	11	31	formed	form	VERB
app01-2340	11	32	(	(	PUNCT
app01-2340	11	33	caramete	caramete	PROPN
app01-2340	11	34	&	&	CCONJ
app01-2340	11	35	biermann	biermann	PROPN
app01-2340	11	36	2010	2010	NUM
app01-2340	11	37	)	)	PUNCT
app01-2340	11	38	;	;	PUNCT
app01-2340	11	39	the	the	DET
app01-2340	11	40	energy	energy	NOUN
app01-2340	11	41	density	density	NOUN
app01-2340	11	42	of	of	ADP
app01-2340	11	43	such	such	ADJ
app01-2340	11	44	solitons	soliton	NOUN
app01-2340	11	45	would	would	AUX
app01-2340	11	46	suffice	suffice	VERB
app01-2340	11	47	within	within	ADP
app01-2340	11	48	the	the	DET
app01-2340	11	49	uncertainties	uncertainty	NOUN
app01-2340	11	50	.	.	PUNCT
app01-2340	12	1	these	these	DET
app01-2340	12	2	solitons	soliton	NOUN
app01-2340	12	3	get	get	VERB
app01-2340	12	4	their	their	PRON
app01-2340	12	5	initial	initial	ADJ
app01-2340	12	6	energy	energy	NOUN
app01-2340	12	7	as	as	ADV
app01-2340	12	8	well	well	ADV
app01-2340	12	9	as	as	ADP
app01-2340	12	10	keep	keep	VERB
app01-2340	12	11	up	up	ADP
app01-2340	12	12	their	their	PRON
app01-2340	12	13	energy	energy	NOUN
app01-2340	12	14	density	density	NOUN
app01-2340	12	15	throughout	throughout	ADP
app01-2340	12	16	the	the	DET
app01-2340	12	17	evolution	evolution	NOUN
app01-2340	12	18	of	of	ADP
app01-2340	12	19	the	the	DET
app01-2340	12	20	universe	universe	NOUN
app01-2340	12	21	by	by	ADP
app01-2340	12	22	stimulating	stimulate	VERB
app01-2340	12	23	emission	emission	NOUN
app01-2340	12	24	from	from	ADP
app01-2340	12	25	a	a	DET
app01-2340	12	26	background	background	NOUN
app01-2340	12	27	(	(	PUNCT
app01-2340	12	28	biermann	biermann	PROPN
app01-2340	12	29	&	&	CCONJ
app01-2340	12	30	harms	harm	NOUN
app01-2340	12	31	2013	2013	NUM
app01-2340	12	32	)	)	PUNCT
app01-2340	12	33	.	.	PUNCT
app01-2340	13	1	our	our	PRON
app01-2340	13	2	model	model	NOUN
app01-2340	13	3	of	of	ADP
app01-2340	13	4	the	the	DET
app01-2340	13	5	background	background	NOUN
app01-2340	13	6	metric	metric	ADJ
app01-2340	13	7	resembles	resemble	VERB
app01-2340	13	8	the	the	DET
app01-2340	13	9	randall	randall	PROPN
app01-2340	13	10	-	-	PUNCT
app01-2340	13	11	sundrum	sundrum	NOUN
app01-2340	13	12	ideas	idea	NOUN
app01-2340	13	13	(	(	PUNCT
app01-2340	13	14	1999a	1999a	NUM
app01-2340	13	15	,	,	PUNCT
app01-2340	13	16	b	b	NOUN
app01-2340	13	17	)	)	PUNCT
app01-2340	13	18	but	but	CCONJ
app01-2340	13	19	is	be	AUX
app01-2340	13	20	timedependent	timedependent	NOUN
app01-2340	13	21	,	,	PUNCT
app01-2340	13	22	and	and	CCONJ
app01-2340	13	23	describes	describe	VERB
app01-2340	13	24	the	the	DET
app01-2340	13	25	energy	energy	NOUN
app01-2340	13	26	flow	flow	NOUN
app01-2340	13	27	from	from	ADP
app01-2340	13	28	the	the	DET
app01-2340	13	29	background	background	NOUN
app01-2340	13	30	(	(	PUNCT
app01-2340	13	31	strong	strong	ADJ
app01-2340	13	32	-	-	PUNCT
app01-2340	13	33	gravity	gravity	NOUN
app01-2340	13	34	)	)	PUNCT
app01-2340	13	35	brane	brane	NOUN
app01-2340	13	36	to	to	ADP
app01-2340	13	37	our	our	PRON
app01-2340	13	38	world	world	NOUN
app01-2340	13	39	(	(	PUNCT
app01-2340	13	40	weakgravity	weakgravity	NOUN
app01-2340	13	41	)	)	PUNCT
app01-2340	13	42	brane	brane	NOUN
app01-2340	13	43	.	.	PUNCT
app01-2340	14	1	planck	planck	NOUN
app01-2340	14	2	data	datum	NOUN
app01-2340	14	3	suggest	suggest	VERB
app01-2340	14	4	that	that	SCONJ
app01-2340	14	5	dark	dark	ADJ
app01-2340	14	6	energy	energy	NOUN
app01-2340	14	7	has	have	AUX
app01-2340	14	8	increased	increase	VERB
app01-2340	14	9	in	in	ADP
app01-2340	14	10	strength	strength	NOUN
app01-2340	14	11	over	over	ADP
app01-2340	14	12	cosmic	cosmic	ADJ
app01-2340	14	13	time	time	NOUN
app01-2340	14	14	(	(	PUNCT
app01-2340	14	15	planck	planck	NOUN
app01-2340	14	16	2013	2013	NUM
app01-2340	14	17	xvi	xvi	NOUN
app01-2340	14	18	)	)	PUNCT
app01-2340	14	19	,	,	PUNCT
app01-2340	14	20	as	as	SCONJ
app01-2340	14	21	predicted	predict	VERB
app01-2340	14	22	by	by	ADP
app01-2340	14	23	our	our	PRON
app01-2340	14	24	model	model	NOUN
app01-2340	14	25	.	.	PUNCT
app01-2340	15	1	gravitational	gravitational	ADJ
app01-2340	15	2	waves	wave	NOUN
app01-2340	15	3	were	be	AUX
app01-2340	15	4	far	far	ADV
app01-2340	15	5	below	below	ADP
app01-2340	15	6	today	today	NOUN
app01-2340	15	7	’s	’s	PART
app01-2340	15	8	dark	dark	ADJ
app01-2340	15	9	energy	energy	NOUN
app01-2340	15	10	at	at	ADP
app01-2340	15	11	the	the	DET
app01-2340	15	12	epoch	epoch	NOUN
app01-2340	15	13	of	of	ADP
app01-2340	15	14	early	early	ADJ
app01-2340	15	15	nucleosynthesis	nucleosynthesis	NOUN
app01-2340	15	16	and	and	CCONJ
app01-2340	15	17	of	of	ADP
app01-2340	15	18	the	the	DET
app01-2340	15	19	formation	formation	NOUN
app01-2340	15	20	of	of	ADP
app01-2340	15	21	the	the	DET
app01-2340	15	22	microwave	microwave	NOUN
app01-2340	15	23	background	background	NOUN
app01-2340	15	24	ripples	ripple	NOUN
app01-2340	15	25	(	(	PUNCT
app01-2340	15	26	as	as	SCONJ
app01-2340	15	27	summarized	summarize	VERB
app01-2340	15	28	in	in	ADP
app01-2340	15	29	ligo+virgo	ligo+virgo	PROPN
app01-2340	15	30	-	-	PUNCT
app01-2340	15	31	coll	coll	PROPN
app01-2340	15	32	.	.	PUNCT
app01-2340	15	33	2009	2009	NUM
app01-2340	15	34	)	)	PUNCT
app01-2340	15	35	,	,	PUNCT
app01-2340	15	36	both	both	PRON
app01-2340	15	37	much	much	ADV
app01-2340	15	38	earlier	early	ADV
app01-2340	15	39	than	than	ADP
app01-2340	15	40	the	the	DET
app01-2340	15	41	likely	likely	ADJ
app01-2340	15	42	formation	formation	NOUN
app01-2340	15	43	epoch	epoch	NOUN
app01-2340	15	44	of	of	ADP
app01-2340	15	45	the	the	DET
app01-2340	15	46	first	first	ADJ
app01-2340	15	47	generation	generation	NOUN
app01-2340	15	48	of	of	ADP
app01-2340	15	49	super	super	ADJ
app01-2340	15	50	-	-	ADJ
app01-2340	15	51	massive	massive	ADJ
app01-2340	15	52	black	black	ADJ
app01-2340	15	53	holes	hole	NOUN
app01-2340	15	54	.	.	PUNCT
app01-2340	16	1	our	our	PRON
app01-2340	16	2	model	model	NOUN
app01-2340	16	3	is	be	AUX
app01-2340	16	4	also	also	ADV
app01-2340	16	5	consistent	consistent	ADJ
app01-2340	16	6	with	with	ADP
app01-2340	16	7	early	early	ADJ
app01-2340	16	8	star	star	NOUN
app01-2340	16	9	formation	formation	NOUN
app01-2340	16	10	(	(	PUNCT
app01-2340	16	11	biermann	biermann	PROPN
app01-2340	16	12	et	et	PROPN
app01-2340	16	13	al	al	PROPN
app01-2340	16	14	.	.	PROPN
app01-2340	16	15	2014	2014	NUM
app01-2340	16	16	)	)	PUNCT
app01-2340	16	17	,	,	PUNCT
app01-2340	16	18	as	as	SCONJ
app01-2340	16	19	we	we	PRON
app01-2340	16	20	argue	argue	VERB
app01-2340	16	21	below	below	ADV
app01-2340	16	22	.	.	PUNCT
app01-2340	17	1	the	the	DET
app01-2340	17	2	transit	transit	NOUN
app01-2340	17	3	of	of	ADP
app01-2340	17	4	the	the	DET
app01-2340	17	5	gravitational	gravitational	ADJ
app01-2340	17	6	wave	wave	NOUN
app01-2340	17	7	solitons	soliton	NOUN
app01-2340	17	8	postulated	postulate	VERB
app01-2340	17	9	here	here	ADV
app01-2340	17	10	may	may	AUX
app01-2340	17	11	be	be	AUX
app01-2340	17	12	detectable	detectable	ADJ
app01-2340	17	13	.	.	PUNCT
app01-2340	18	1	we	we	PRON
app01-2340	18	2	discuss	discuss	VERB
app01-2340	18	3	the	the	DET
app01-2340	18	4	predictions	prediction	NOUN
app01-2340	18	5	briefly	briefly	ADV
app01-2340	18	6	below	below	ADV
app01-2340	18	7	and	and	CCONJ
app01-2340	18	8	elsewhere	elsewhere	ADV
app01-2340	18	9	.	.	PUNCT
app01-2340	19	1	we	we	PRON
app01-2340	19	2	focus	focus	VERB
app01-2340	19	3	on	on	ADP
app01-2340	19	4	the	the	DET
app01-2340	19	5	boltzmann	boltzmann	PROPN
app01-2340	19	6	equation	equation	NOUN
app01-2340	19	7	approach	approach	NOUN
app01-2340	19	8	,	,	PUNCT
app01-2340	19	9	working	work	VERB
app01-2340	19	10	out	out	ADP
app01-2340	19	11	the	the	DET
app01-2340	19	12	energy	energy	NOUN
app01-2340	19	13	transfer	transfer	NOUN
app01-2340	19	14	from	from	ADP
app01-2340	19	15	the	the	DET
app01-2340	19	16	strong	strong	ADJ
app01-2340	19	17	gravity	gravity	NOUN
app01-2340	19	18	background	background	NOUN
app01-2340	19	19	in	in	ADP
app01-2340	19	20	stimulated	stimulated	ADJ
app01-2340	19	21	emission	emission	NOUN
app01-2340	19	22	.	.	PUNCT
app01-2340	20	1	1.1	1.1	NUM
app01-2340	20	2	gravitational	gravitational	ADJ
app01-2340	20	3	solitons	soliton	NOUN
app01-2340	20	4	from	from	ADP
app01-2340	20	5	black	black	ADJ
app01-2340	20	6	hole	hole	NOUN
app01-2340	20	7	mergers	merger	NOUN
app01-2340	20	8	inspired	inspire	VERB
app01-2340	20	9	by	by	ADP
app01-2340	20	10	bekenstein	bekenstein	PROPN
app01-2340	20	11	’s	’s	PART
app01-2340	20	12	(	(	PUNCT
app01-2340	20	13	1973	1973	NUM
app01-2340	20	14	)	)	PUNCT
app01-2340	20	15	considerations	consideration	NOUN
app01-2340	20	16	we	we	PRON
app01-2340	20	17	posit	posit	VERB
app01-2340	20	18	:	:	PUNCT
app01-2340	20	19	when	when	SCONJ
app01-2340	20	20	the	the	DET
app01-2340	20	21	first	first	ADJ
app01-2340	20	22	generation	generation	NOUN
app01-2340	20	23	of	of	ADP
app01-2340	20	24	super	super	ADJ
app01-2340	20	25	-	-	ADJ
app01-2340	20	26	massive	massive	ADJ
app01-2340	20	27	black	black	ADJ
app01-2340	20	28	holes	hole	NOUN
app01-2340	20	29	was	be	AUX
app01-2340	20	30	formed	form	VERB
app01-2340	20	31	,	,	PUNCT
app01-2340	20	32	each	each	PRON
app01-2340	20	33	produced	produce	VERB
app01-2340	20	34	a	a	DET
app01-2340	20	35	coherent	coherent	ADJ
app01-2340	20	36	burst	burst	NOUN
app01-2340	20	37	of	of	ADP
app01-2340	20	38	solitonlike	solitonlike	ADJ
app01-2340	20	39	gravitational	gravitational	ADJ
app01-2340	20	40	waves	wave	NOUN
app01-2340	20	41	which	which	PRON
app01-2340	20	42	combine	combine	VERB
app01-2340	20	43	to	to	PART
app01-2340	20	44	give	give	VERB
app01-2340	20	45	a	a	DET
app01-2340	20	46	total	total	ADJ
app01-2340	20	47	energy	energy	NOUN
app01-2340	20	48	of	of	ADP
app01-2340	20	49	order	order	NOUN
app01-2340	20	50	∼	∼	NOUN
app01-2340	20	51	1	1	NUM
app01-2340	20	52	2	2	NUM
app01-2340	20	53	nbh,0mbh	nbh,0mbh	NOUN
app01-2340	20	54	c	c	NOUN
app01-2340	20	55	2	2	NUM
app01-2340	20	56	(	(	PUNCT
app01-2340	20	57	1	1	NUM
app01-2340	20	58	+	+	CCONJ
app01-2340	20	59	z	z	NOUN
app01-2340	20	60	?	?	PUNCT
app01-2340	20	61	)	)	PUNCT
app01-2340	20	62	3	3	X
app01-2340	20	63	.	.	PUNCT
app01-2340	21	1	(	(	PUNCT
app01-2340	21	2	1	1	X
app01-2340	21	3	)	)	PUNCT
app01-2340	21	4	in	in	ADP
app01-2340	21	5	the	the	DET
app01-2340	21	6	following	following	NOUN
app01-2340	21	7	we	we	PRON
app01-2340	21	8	also	also	ADV
app01-2340	21	9	call	call	VERB
app01-2340	21	10	this	this	PRON
app01-2340	21	11	an	an	DET
app01-2340	21	12	ensemble	ensemble	NOUN
app01-2340	21	13	of	of	ADP
app01-2340	21	14	soliton	soliton	NOUN
app01-2340	21	15	waves	wave	NOUN
app01-2340	21	16	,	,	PUNCT
app01-2340	21	17	or	or	CCONJ
app01-2340	21	18	shell	shell	VERB
app01-2340	21	19	fronts	front	NOUN
app01-2340	21	20	.	.	PUNCT
app01-2340	22	1	nbh,0	nbh,0	NOUN
app01-2340	22	2	is	be	AUX
app01-2340	22	3	the	the	DET
app01-2340	22	4	original	original	ADJ
app01-2340	22	5	comoving	comoving	NOUN
app01-2340	22	6	density	density	NOUN
app01-2340	22	7	of	of	ADP
app01-2340	22	8	super	super	ADJ
app01-2340	22	9	-	-	ADJ
app01-2340	22	10	massive	massive	ADJ
app01-2340	22	11	black	black	ADJ
app01-2340	22	12	holes	hole	NOUN
app01-2340	22	13	.	.	PUNCT
app01-2340	23	1	today	today	NOUN
app01-2340	23	2	supermassive	supermassive	ADJ
app01-2340	23	3	black	black	ADJ
app01-2340	23	4	holes	hole	NOUN
app01-2340	23	5	have	have	VERB
app01-2340	23	6	a	a	DET
app01-2340	23	7	density	density	NOUN
app01-2340	23	8	of	of	ADP
app01-2340	23	9	10−1.7±0.4	10−1.7±0.4	NUM
app01-2340	23	10	mpc−3	mpc−3	PROPN
app01-2340	23	11	20	20	NUM
app01-2340	23	12	http://dx.doi.org/10.14311/app.2014.01.0020	http://dx.doi.org/10.14311/app.2014.01.0020	VERB
app01-2340	23	13	gravitational	gravitational	ADJ
app01-2340	23	14	waves	wave	NOUN
app01-2340	23	15	and	and	CCONJ
app01-2340	23	16	dark	dark	ADJ
app01-2340	23	17	energy	energy	NOUN
app01-2340	23	18	above	above	ADP
app01-2340	23	19	mbh	mbh	PROPN
app01-2340	23	20	=	=	PROPN
app01-2340	23	21	3·106	3·106	NUM
app01-2340	23	22	m	m	PROPN
app01-2340	23	23	�	�	PROPN
app01-2340	23	24	(	(	PUNCT
app01-2340	23	25	caramete	caramete	PROPN
app01-2340	23	26	&	&	CCONJ
app01-2340	23	27	biermann	biermann	PROPN
app01-2340	23	28	2010	2010	NUM
app01-2340	23	29	)	)	PUNCT
app01-2340	23	30	;	;	PUNCT
app01-2340	23	31	assuming	assume	VERB
app01-2340	23	32	that	that	SCONJ
app01-2340	23	33	they	they	PRON
app01-2340	23	34	grow	grow	VERB
app01-2340	23	35	by	by	ADP
app01-2340	23	36	merging	merge	VERB
app01-2340	23	37	,	,	PUNCT
app01-2340	23	38	and	and	CCONJ
app01-2340	23	39	allowing	allow	VERB
app01-2340	23	40	for	for	ADP
app01-2340	23	41	statistical	statistical	ADJ
app01-2340	23	42	and	and	CCONJ
app01-2340	23	43	systematic	systematic	ADJ
app01-2340	23	44	errors	error	NOUN
app01-2340	23	45	,	,	PUNCT
app01-2340	23	46	an	an	DET
app01-2340	23	47	original	original	ADJ
app01-2340	23	48	comoving	comoving	NOUN
app01-2340	23	49	density	density	NOUN
app01-2340	23	50	of	of	ADP
app01-2340	23	51	nbh,0	nbh,0	NOUN
app01-2340	23	52	=	=	SYM
app01-2340	23	53	1	1	NUM
app01-2340	23	54	mpc−3	mpc−3	NOUN
app01-2340	23	55	seems	seem	VERB
app01-2340	23	56	possible	possible	ADJ
app01-2340	23	57	.	.	PUNCT
app01-2340	24	1	this	this	DET
app01-2340	24	2	comoving	comove	VERB
app01-2340	24	3	density	density	NOUN
app01-2340	24	4	is	be	AUX
app01-2340	24	5	the	the	DET
app01-2340	24	6	density	density	NOUN
app01-2340	24	7	black	black	ADJ
app01-2340	24	8	holes	hole	NOUN
app01-2340	24	9	had	have	VERB
app01-2340	24	10	at	at	ADP
app01-2340	24	11	the	the	DET
app01-2340	24	12	beginning	beginning	NOUN
app01-2340	24	13	,	,	PUNCT
app01-2340	24	14	so	so	ADV
app01-2340	24	15	transposed	transpose	VERB
app01-2340	24	16	to	to	ADP
app01-2340	24	17	today	today	NOUN
app01-2340	24	18	without	without	ADP
app01-2340	24	19	change	change	NOUN
app01-2340	24	20	in	in	ADP
app01-2340	24	21	their	their	PRON
app01-2340	24	22	numbers	number	NOUN
app01-2340	24	23	per	per	ADP
app01-2340	24	24	comoving	comoving	NOUN
app01-2340	24	25	volume	volume	NOUN
app01-2340	24	26	.	.	PUNCT
app01-2340	25	1	the	the	DET
app01-2340	25	2	data	datum	NOUN
app01-2340	25	3	suggest	suggest	VERB
app01-2340	25	4	that	that	SCONJ
app01-2340	25	5	there	there	PRON
app01-2340	25	6	was	be	VERB
app01-2340	25	7	a	a	DET
app01-2340	25	8	generation	generation	NOUN
app01-2340	25	9	of	of	ADP
app01-2340	25	10	first	first	ADJ
app01-2340	25	11	super	super	ADJ
app01-2340	25	12	-	-	ADJ
app01-2340	25	13	massive	massive	ADJ
app01-2340	25	14	black	black	ADJ
app01-2340	25	15	holes	hole	NOUN
app01-2340	25	16	with	with	ADP
app01-2340	25	17	a	a	DET
app01-2340	25	18	mass	mass	NOUN
app01-2340	25	19	between	between	ADP
app01-2340	25	20	mbh	mbh	PROPN
app01-2340	25	21	∼	∼	NOUN
app01-2340	25	22	106	106	NUM
app01-2340	25	23	m	m	NOUN
app01-2340	25	24	�	�	PROPN
app01-2340	25	25	and	and	CCONJ
app01-2340	25	26	mbh	mbh	PROPN
app01-2340	25	27	∼	∼	NOUN
app01-2340	25	28	107m	107m	PROPN
app01-2340	25	29	�	�	NOUN
app01-2340	25	30	.	.	PUNCT
app01-2340	26	1	the	the	DET
app01-2340	26	2	original	original	ADJ
app01-2340	26	3	black	black	ADJ
app01-2340	26	4	hole	hole	NOUN
app01-2340	26	5	mass	mass	NOUN
app01-2340	26	6	may	may	AUX
app01-2340	26	7	be	be	AUX
app01-2340	26	8	∼	∼	NOUN
app01-2340	26	9	3	3	NUM
app01-2340	26	10	·	·	SYM
app01-2340	26	11	106	106	NUM
app01-2340	26	12	m	m	VERB
app01-2340	26	13	�	�	PROPN
app01-2340	26	14	considering	consider	VERB
app01-2340	26	15	(	(	PUNCT
app01-2340	26	16	i	i	NOUN
app01-2340	26	17	)	)	PUNCT
app01-2340	26	18	the	the	DET
app01-2340	26	19	black	black	ADJ
app01-2340	26	20	hole	hole	NOUN
app01-2340	26	21	mass	mass	NOUN
app01-2340	26	22	function	function	NOUN
app01-2340	26	23	(	(	PUNCT
app01-2340	26	24	greene	greene	PROPN
app01-2340	26	25	et	et	PROPN
app01-2340	26	26	al	al	PROPN
app01-2340	26	27	.	.	PROPN
app01-2340	26	28	2006	2006	NUM
app01-2340	26	29	,	,	PUNCT
app01-2340	26	30	caramete	caramete	PROPN
app01-2340	26	31	&	&	CCONJ
app01-2340	26	32	biermann	biermann	PROPN
app01-2340	26	33	2010	2010	NUM
app01-2340	26	34	)	)	PUNCT
app01-2340	26	35	,	,	PUNCT
app01-2340	26	36	(	(	PUNCT
app01-2340	26	37	ii	ii	NOUN
app01-2340	26	38	)	)	PUNCT
app01-2340	26	39	the	the	DET
app01-2340	26	40	instability	instability	NOUN
app01-2340	26	41	of	of	ADP
app01-2340	26	42	massive	massive	ADJ
app01-2340	26	43	stars	star	NOUN
app01-2340	26	44	(	(	PUNCT
app01-2340	26	45	appenzeller	appenzeller	NOUN
app01-2340	26	46	&	&	CCONJ
app01-2340	26	47	fricke	fricke	PROPN
app01-2340	26	48	1972a	1972a	NUM
app01-2340	26	49	,	,	PUNCT
app01-2340	26	50	b	b	X
app01-2340	26	51	)	)	PUNCT
app01-2340	26	52	in	in	ADP
app01-2340	26	53	an	an	DET
app01-2340	26	54	agglomeration	agglomeration	NOUN
app01-2340	26	55	picture	picture	NOUN
app01-2340	26	56	(	(	PUNCT
app01-2340	26	57	spitzer	spitzer	PROPN
app01-2340	26	58	1969	1969	NUM
app01-2340	26	59	,	,	PUNCT
app01-2340	26	60	sanders	sanders	PROPN
app01-2340	26	61	1970	1970	NUM
app01-2340	26	62	)	)	PUNCT
app01-2340	26	63	,	,	PUNCT
app01-2340	26	64	and	and	CCONJ
app01-2340	26	65	(	(	PUNCT
app01-2340	26	66	iii	iii	X
app01-2340	26	67	)	)	PUNCT
app01-2340	26	68	the	the	DET
app01-2340	26	69	observed	observe	VERB
app01-2340	26	70	black	black	ADJ
app01-2340	26	71	hole	hole	NOUN
app01-2340	26	72	in	in	ADP
app01-2340	26	73	our	our	PRON
app01-2340	26	74	galactic	galactic	ADJ
app01-2340	26	75	center	center	NOUN
app01-2340	26	76	(	(	PUNCT
app01-2340	26	77	e.g.	e.g.	ADV
app01-2340	26	78	eckart	eckart	VERB
app01-2340	26	79	et	et	PROPN
app01-2340	26	80	al	al	PROPN
app01-2340	26	81	.	.	PROPN
app01-2340	26	82	2005	2005	NUM
app01-2340	26	83	)	)	PUNCT
app01-2340	26	84	.	.	PUNCT
app01-2340	27	1	the	the	DET
app01-2340	27	2	redshift	redshift	NOUN
app01-2340	27	3	of	of	ADP
app01-2340	27	4	creation	creation	NOUN
app01-2340	27	5	z	z	PROPN
app01-2340	27	6	?	?	PUNCT
app01-2340	27	7	may	may	AUX
app01-2340	27	8	be	be	AUX
app01-2340	27	9	large	large	ADJ
app01-2340	27	10	,	,	PUNCT
app01-2340	27	11	as	as	SCONJ
app01-2340	27	12	formation	formation	NOUN
app01-2340	27	13	of	of	ADP
app01-2340	27	14	massive	massive	ADJ
app01-2340	27	15	stars	star	NOUN
app01-2340	27	16	may	may	AUX
app01-2340	27	17	begin	begin	VERB
app01-2340	27	18	at	at	ADP
app01-2340	27	19	redshift	redshift	NOUN
app01-2340	27	20	80	80	NUM
app01-2340	27	21	(	(	PUNCT
app01-2340	27	22	biermann	biermann	PROPN
app01-2340	27	23	&	&	CCONJ
app01-2340	27	24	kusenko	kusenko	PROPN
app01-2340	27	25	2006	2006	NUM
app01-2340	27	26	)	)	PUNCT
app01-2340	27	27	.	.	PUNCT
app01-2340	28	1	redshifts	redshift	VERB
app01-2340	28	2	z	z	NOUN
app01-2340	28	3	?	?	PUNCT
app01-2340	29	1	from	from	ADP
app01-2340	29	2	about	about	ADV
app01-2340	29	3	30	30	NUM
app01-2340	29	4	to	to	PART
app01-2340	29	5	50	50	NUM
app01-2340	29	6	allow	allow	VERB
app01-2340	29	7	a	a	DET
app01-2340	29	8	quantitative	quantitative	ADJ
app01-2340	29	9	interpretation	interpretation	NOUN
app01-2340	29	10	of	of	ADP
app01-2340	29	11	the	the	DET
app01-2340	29	12	data	datum	NOUN
app01-2340	29	13	of	of	ADP
app01-2340	29	14	dark	dark	ADJ
app01-2340	29	15	energy	energy	NOUN
app01-2340	29	16	.	.	PUNCT
app01-2340	30	1	at	at	ADP
app01-2340	30	2	the	the	DET
app01-2340	30	3	original	original	ADJ
app01-2340	30	4	density	density	NOUN
app01-2340	30	5	of	of	ADP
app01-2340	30	6	black	black	ADJ
app01-2340	30	7	holes	hole	NOUN
app01-2340	30	8	adopted	adopt	VERB
app01-2340	30	9	here	here	ADV
app01-2340	30	10	redshift	redshift	NOUN
app01-2340	30	11	50	50	NUM
app01-2340	30	12	is	be	AUX
app01-2340	30	13	consistent	consistent	ADJ
app01-2340	30	14	with	with	ADP
app01-2340	30	15	the	the	DET
app01-2340	30	16	mass	mass	NOUN
app01-2340	30	17	of	of	ADP
app01-2340	30	18	mbh	mbh	PROPN
app01-2340	30	19	∼	∼	NOUN
app01-2340	30	20	3	3	NUM
app01-2340	30	21	·	·	SYM
app01-2340	30	22	106	106	NUM
app01-2340	30	23	m	m	PROPN
app01-2340	30	24	�	�	PROPN
app01-2340	30	25	,	,	PUNCT
app01-2340	30	26	and	and	CCONJ
app01-2340	30	27	redshift	redshift	NOUN
app01-2340	30	28	30	30	NUM
app01-2340	30	29	would	would	AUX
app01-2340	30	30	imply	imply	VERB
app01-2340	30	31	mbh	mbh	PROPN
app01-2340	30	32	∼	∼	NOUN
app01-2340	30	33	107	107	NUM
app01-2340	30	34	m	m	NUM
app01-2340	30	35	�	�	PROPN
app01-2340	30	36	,	,	PUNCT
app01-2340	30	37	in	in	ADP
app01-2340	30	38	either	either	DET
app01-2340	30	39	case	case	NOUN
app01-2340	30	40	to	to	PART
app01-2340	30	41	make	make	VERB
app01-2340	30	42	the	the	DET
app01-2340	30	43	estimate	estimate	NOUN
app01-2340	30	44	consistent	consistent	ADJ
app01-2340	30	45	with	with	ADP
app01-2340	30	46	dark	dark	ADJ
app01-2340	30	47	energy	energy	NOUN
app01-2340	30	48	today	today	NOUN
app01-2340	30	49	.	.	PUNCT
app01-2340	31	1	what	what	PRON
app01-2340	31	2	is	be	AUX
app01-2340	31	3	the	the	DET
app01-2340	31	4	motivation	motivation	NOUN
app01-2340	31	5	for	for	ADP
app01-2340	31	6	considering	consider	VERB
app01-2340	31	7	gravitational	gravitational	ADJ
app01-2340	31	8	waves	wave	NOUN
app01-2340	31	9	?	?	PUNCT
app01-2340	32	1	bekenstein	bekenstein	PROPN
app01-2340	32	2	(	(	PUNCT
app01-2340	32	3	1973	1973	NUM
app01-2340	32	4	)	)	PUNCT
app01-2340	32	5	wrote	write	VERB
app01-2340	32	6	about	about	ADP
app01-2340	32	7	the	the	DET
app01-2340	32	8	entropy	entropy	NOUN
app01-2340	32	9	of	of	ADP
app01-2340	32	10	the	the	DET
app01-2340	32	11	universe	universe	NOUN
app01-2340	32	12	:	:	PUNCT
app01-2340	32	13	“	"	PUNCT
app01-2340	32	14	...	...	PUNCT
app01-2340	32	15	we	we	PRON
app01-2340	32	16	must	must	AUX
app01-2340	32	17	regard	regard	VERB
app01-2340	32	18	black	black	ADJ
app01-2340	32	19	hole	hole	NOUN
app01-2340	32	20	entropy	entropy	NOUN
app01-2340	32	21	as	as	ADP
app01-2340	32	22	a	a	DET
app01-2340	32	23	genuine	genuine	ADJ
app01-2340	32	24	contribution	contribution	NOUN
app01-2340	32	25	to	to	ADP
app01-2340	32	26	the	the	DET
app01-2340	32	27	entropy	entropy	PROPN
app01-2340	32	28	content	content	NOUN
app01-2340	32	29	of	of	ADP
app01-2340	32	30	the	the	DET
app01-2340	32	31	universe	universe	NOUN
app01-2340	32	32	”	"	PUNCT
app01-2340	32	33	.	.	PUNCT
app01-2340	33	1	however	however	ADV
app01-2340	33	2	,	,	PUNCT
app01-2340	33	3	entropy	entropy	PROPN
app01-2340	33	4	is	be	AUX
app01-2340	33	5	also	also	ADV
app01-2340	33	6	information	information	NOUN
app01-2340	33	7	,	,	PUNCT
app01-2340	33	8	and	and	CCONJ
app01-2340	33	9	information	information	NOUN
app01-2340	33	10	must	must	AUX
app01-2340	33	11	have	have	VERB
app01-2340	33	12	a	a	DET
app01-2340	33	13	carrier	carrier	NOUN
app01-2340	33	14	.	.	PUNCT
app01-2340	34	1	a	a	DET
app01-2340	34	2	natural	natural	ADJ
app01-2340	34	3	suggestion	suggestion	NOUN
app01-2340	34	4	is	be	AUX
app01-2340	34	5	that	that	SCONJ
app01-2340	34	6	this	this	DET
app01-2340	34	7	carrier	carrier	NOUN
app01-2340	34	8	is	be	AUX
app01-2340	34	9	gravitational	gravitational	ADJ
app01-2340	34	10	waves	wave	NOUN
app01-2340	34	11	,	,	PUNCT
app01-2340	34	12	with	with	ADP
app01-2340	34	13	an	an	DET
app01-2340	34	14	energy	energy	NOUN
app01-2340	34	15	commensurate	commensurate	NOUN
app01-2340	34	16	with	with	ADP
app01-2340	34	17	the	the	DET
app01-2340	34	18	black	black	ADJ
app01-2340	34	19	hole	hole	NOUN
app01-2340	34	20	scale	scale	NOUN
app01-2340	34	21	.	.	PUNCT
app01-2340	35	1	this	this	DET
app01-2340	35	2	suggestion	suggestion	NOUN
app01-2340	35	3	is	be	AUX
app01-2340	35	4	consistent	consistent	ADJ
app01-2340	35	5	with	with	ADP
app01-2340	35	6	the	the	DET
app01-2340	35	7	fact	fact	NOUN
app01-2340	35	8	that	that	SCONJ
app01-2340	35	9	cosmological	cosmological	ADJ
app01-2340	35	10	black	black	ADJ
app01-2340	35	11	holes	hole	NOUN
app01-2340	35	12	are	be	AUX
app01-2340	35	13	not	not	PART
app01-2340	35	14	in	in	ADP
app01-2340	35	15	thermodynamic	thermodynamic	ADJ
app01-2340	35	16	equilibrium	equilibrium	NOUN
app01-2340	35	17	,	,	PUNCT
app01-2340	35	18	and	and	CCONJ
app01-2340	35	19	therefore	therefore	ADV
app01-2340	35	20	the	the	DET
app01-2340	35	21	entropy	entropy	NOUN
app01-2340	35	22	associated	associate	VERB
app01-2340	35	23	with	with	ADP
app01-2340	35	24	such	such	ADJ
app01-2340	35	25	black	black	ADJ
app01-2340	35	26	holes	hole	NOUN
app01-2340	35	27	should	should	AUX
app01-2340	35	28	be	be	AUX
app01-2340	35	29	described	describe	VERB
app01-2340	35	30	by	by	ADP
app01-2340	35	31	statistical	statistical	ADJ
app01-2340	35	32	mechanics	mechanic	NOUN
app01-2340	35	33	as	as	SCONJ
app01-2340	35	34	advocated	advocate	VERB
app01-2340	35	35	in	in	ADP
app01-2340	35	36	harms	harm	NOUN
app01-2340	35	37	and	and	CCONJ
app01-2340	35	38	leblanc	leblanc	PROPN
app01-2340	35	39	(	(	PUNCT
app01-2340	35	40	1992	1992	NUM
app01-2340	35	41	,	,	PUNCT
app01-2340	35	42	1993	1993	NUM
app01-2340	35	43	)	)	PUNCT
app01-2340	35	44	.	.	PUNCT
app01-2340	36	1	this	this	DET
app01-2340	36	2	speculation	speculation	NOUN
app01-2340	36	3	immediately	immediately	ADV
app01-2340	36	4	gives	give	VERB
app01-2340	36	5	s	s	PRON
app01-2340	36	6	kb	kb	NOUN
app01-2340	36	7	=	=	PUNCT
app01-2340	36	8	ngw,0	ngw,0	NOUN
app01-2340	36	9	=	=	PUNCT
app01-2340	36	10	4π	4π	NUM
app01-2340	36	11	(	(	PUNCT
app01-2340	36	12	mbh	mbh	PROPN
app01-2340	36	13	mpl	mpl	PROPN
app01-2340	36	14	)	)	PUNCT
app01-2340	36	15	2	2	NUM
app01-2340	36	16	,	,	PUNCT
app01-2340	36	17	for	for	ADP
app01-2340	36	18	zero	zero	NUM
app01-2340	36	19	spin	spin	NOUN
app01-2340	36	20	,	,	PUNCT
app01-2340	36	21	(	(	PUNCT
app01-2340	36	22	2	2	X
app01-2340	36	23	)	)	PUNCT
app01-2340	36	24	where	where	SCONJ
app01-2340	36	25	ngw,0	ngw,0	NOUN
app01-2340	36	26	is	be	VERB
app01-2340	36	27	the	the	DET
app01-2340	36	28	number	number	NOUN
app01-2340	36	29	of	of	ADP
app01-2340	36	30	gravitons	graviton	NOUN
app01-2340	36	31	at	at	ADP
app01-2340	36	32	the	the	DET
app01-2340	36	33	formation	formation	NOUN
app01-2340	36	34	of	of	ADP
app01-2340	36	35	the	the	DET
app01-2340	36	36	black	black	ADJ
app01-2340	36	37	hole	hole	NOUN
app01-2340	36	38	.	.	PUNCT
app01-2340	37	1	for	for	ADP
app01-2340	37	2	mbh	mbh	PROPN
app01-2340	37	3	=	=	SYM
app01-2340	37	4	3	3	NUM
app01-2340	37	5	·	·	SYM
app01-2340	37	6	106	106	NUM
app01-2340	37	7	m	m	PROPN
app01-2340	37	8	�	�	PROPN
app01-2340	37	9	this	this	PRON
app01-2340	37	10	is	be	AUX
app01-2340	37	11	ngw,0	ngw,0	NOUN
app01-2340	37	12	'	'	PUNCT
app01-2340	37	13	1090	1090	NUM
app01-2340	37	14	.	.	PUNCT
app01-2340	38	1	mbh	mbh	PROPN
app01-2340	38	2	is	be	AUX
app01-2340	38	3	the	the	DET
app01-2340	38	4	original	original	ADJ
app01-2340	38	5	mass	mass	NOUN
app01-2340	38	6	of	of	ADP
app01-2340	38	7	the	the	DET
app01-2340	38	8	black	black	ADJ
app01-2340	38	9	hole	hole	NOUN
app01-2340	38	10	,	,	PUNCT
app01-2340	38	11	mpl	mpl	PROPN
app01-2340	38	12	is	be	AUX
app01-2340	38	13	the	the	DET
app01-2340	38	14	planck	planck	NOUN
app01-2340	38	15	mass	mass	PROPN
app01-2340	38	16	,	,	PUNCT
app01-2340	38	17	c	c	PROPN
app01-2340	38	18	is	be	AUX
app01-2340	38	19	the	the	DET
app01-2340	38	20	speed	speed	NOUN
app01-2340	38	21	of	of	ADP
app01-2340	38	22	light	light	NOUN
app01-2340	38	23	,	,	PUNCT
app01-2340	38	24	and	and	CCONJ
app01-2340	38	25	gn	gn	PROPN
app01-2340	38	26	is	be	AUX
app01-2340	38	27	newton	newton	PROPN
app01-2340	38	28	’s	’s	PART
app01-2340	38	29	constant	constant	ADJ
app01-2340	38	30	of	of	ADP
app01-2340	38	31	gravity	gravity	NOUN
app01-2340	38	32	.	.	PUNCT
app01-2340	39	1	egw	egw	PROPN
app01-2340	39	2	is	be	AUX
app01-2340	39	3	the	the	DET
app01-2340	39	4	average	average	ADJ
app01-2340	39	5	graviton	graviton	NOUN
app01-2340	39	6	energy	energy	NOUN
app01-2340	39	7	given	give	VERB
app01-2340	39	8	by	by	ADP
app01-2340	39	9	egw	egw	PROPN
app01-2340	39	10	=	=	SYM
app01-2340	39	11	1	1	NUM
app01-2340	39	12	8π	8π	NUM
app01-2340	39	13	h̄c3	h̄c3	NOUN
app01-2340	39	14	gnmbh	gnmbh	NOUN
app01-2340	40	1	=	=	PRON
app01-2340	40	2	c2	c2	PROPN
app01-2340	40	3	8π	8π	NUM
app01-2340	40	4	m2	m2	PROPN
app01-2340	40	5	pl	pl	PROPN
app01-2340	40	6	mbh	mbh	PROPN
app01-2340	40	7	.	.	PUNCT
app01-2340	41	1	(	(	PUNCT
app01-2340	41	2	3	3	X
app01-2340	41	3	)	)	PUNCT
app01-2340	41	4	this	this	PRON
app01-2340	41	5	gives	give	VERB
app01-2340	41	6	a	a	DET
app01-2340	41	7	graviton	graviton	NOUN
app01-2340	41	8	energy	energy	NOUN
app01-2340	41	9	of	of	ADP
app01-2340	41	10	egw	egw	PROPN
app01-2340	41	11	'	'	PART
app01-2340	41	12	10−30	10−30	PROPN
app01-2340	41	13	erg	erg	PROPN
app01-2340	41	14	for	for	ADP
app01-2340	41	15	this	this	DET
app01-2340	41	16	black	black	ADJ
app01-2340	41	17	hole	hole	NOUN
app01-2340	41	18	mass	mass	PROPN
app01-2340	41	19	.	.	PUNCT
app01-2340	42	1	the	the	DET
app01-2340	42	2	entire	entire	ADJ
app01-2340	42	3	energy	energy	NOUN
app01-2340	42	4	content	content	NOUN
app01-2340	42	5	then	then	ADV
app01-2340	42	6	is	be	AUX
app01-2340	42	7	ngw,0egw	ngw,0egw	NOUN
app01-2340	42	8	=	=	SYM
app01-2340	42	9	1	1	NUM
app01-2340	42	10	2	2	NUM
app01-2340	42	11	mbh	mbh	NOUN
app01-2340	42	12	c	c	PROPN
app01-2340	42	13	2	2	NUM
app01-2340	42	14	.	.	PUNCT
app01-2340	43	1	(	(	PUNCT
app01-2340	43	2	4	4	X
app01-2340	43	3	)	)	PUNCT
app01-2340	43	4	we	we	PRON
app01-2340	43	5	picture	picture	VERB
app01-2340	43	6	this	this	PRON
app01-2340	43	7	as	as	ADP
app01-2340	43	8	a	a	DET
app01-2340	43	9	coherent	coherent	ADJ
app01-2340	43	10	burst	burst	NOUN
app01-2340	43	11	of	of	ADP
app01-2340	43	12	gravitational	gravitational	ADJ
app01-2340	43	13	waves	wave	NOUN
app01-2340	43	14	,	,	PUNCT
app01-2340	43	15	or	or	CCONJ
app01-2340	43	16	a	a	DET
app01-2340	43	17	soliton	soliton	NOUN
app01-2340	43	18	wave	wave	NOUN
app01-2340	43	19	,	,	PUNCT
app01-2340	43	20	ejected	eject	VERB
app01-2340	43	21	at	at	ADP
app01-2340	43	22	formation	formation	NOUN
app01-2340	43	23	of	of	ADP
app01-2340	43	24	the	the	DET
app01-2340	43	25	black	black	ADJ
app01-2340	43	26	hole	hole	NOUN
app01-2340	43	27	.	.	PUNCT
app01-2340	44	1	it	it	PRON
app01-2340	44	2	is	be	AUX
app01-2340	44	3	clear	clear	ADJ
app01-2340	44	4	from	from	ADP
app01-2340	44	5	the	the	DET
app01-2340	44	6	considerations	consideration	NOUN
app01-2340	44	7	above	above	ADP
app01-2340	44	8	that	that	SCONJ
app01-2340	44	9	we	we	PRON
app01-2340	44	10	are	be	AUX
app01-2340	44	11	not	not	PART
app01-2340	44	12	using	use	VERB
app01-2340	44	13	the	the	DET
app01-2340	44	14	weak	weak	ADJ
app01-2340	44	15	-	-	PUNCT
app01-2340	44	16	field	field	NOUN
app01-2340	44	17	approximation	approximation	NOUN
app01-2340	44	18	.	.	PUNCT
app01-2340	45	1	multiplying	multiply	VERB
app01-2340	45	2	with	with	ADP
app01-2340	45	3	the	the	DET
app01-2340	45	4	original	original	ADJ
app01-2340	45	5	density	density	NOUN
app01-2340	45	6	of	of	ADP
app01-2340	45	7	super	super	ADJ
app01-2340	45	8	-	-	ADJ
app01-2340	45	9	massive	massive	ADJ
app01-2340	45	10	black	black	ADJ
app01-2340	45	11	holes	hole	NOUN
app01-2340	45	12	reproduces	reproduce	VERB
app01-2340	45	13	our	our	PRON
app01-2340	45	14	estimate	estimate	NOUN
app01-2340	45	15	above	above	ADV
app01-2340	45	16	.	.	PUNCT
app01-2340	46	1	1.2	1.2	NUM
app01-2340	46	2	five	five	NUM
app01-2340	46	3	-	-	PUNCT
app01-2340	46	4	dimensional	dimensional	ADJ
app01-2340	46	5	background	background	NOUN
app01-2340	46	6	model	model	NOUN
app01-2340	46	7	in	in	ADP
app01-2340	46	8	our	our	PRON
app01-2340	46	9	model	model	NOUN
app01-2340	46	10	for	for	ADP
app01-2340	46	11	the	the	DET
app01-2340	46	12	background	background	NOUN
app01-2340	46	13	,	,	PUNCT
app01-2340	46	14	which	which	PRON
app01-2340	46	15	has	have	VERB
app01-2340	46	16	some	some	DET
app01-2340	46	17	similarity	similarity	NOUN
app01-2340	46	18	to	to	ADP
app01-2340	46	19	the	the	DET
app01-2340	46	20	randall	randall	PROPN
app01-2340	46	21	-	-	PUNCT
app01-2340	46	22	sundrum	sundrum	PROPN
app01-2340	46	23	(	(	PUNCT
app01-2340	46	24	1999a	1999a	NUM
app01-2340	46	25	,	,	PUNCT
app01-2340	46	26	b	b	NOUN
app01-2340	46	27	)	)	PUNCT
app01-2340	46	28	ideas	idea	NOUN
app01-2340	46	29	,	,	PUNCT
app01-2340	46	30	we	we	PRON
app01-2340	46	31	identify	identify	VERB
app01-2340	46	32	a	a	DET
app01-2340	46	33	possible	possible	ADJ
app01-2340	46	34	local	local	ADJ
app01-2340	46	35	metric	metric	NOUN
app01-2340	46	36	to	to	PART
app01-2340	46	37	describe	describe	VERB
app01-2340	46	38	a	a	DET
app01-2340	46	39	5d	5d	ADJ
app01-2340	46	40	world	world	NOUN
app01-2340	46	41	with	with	ADP
app01-2340	46	42	a	a	DET
app01-2340	46	43	4d	4d	NUM
app01-2340	46	44	strong	strong	ADJ
app01-2340	46	45	gravity	gravity	NOUN
app01-2340	46	46	brane	brane	NOUN
app01-2340	46	47	and	and	CCONJ
app01-2340	46	48	our	our	PRON
app01-2340	46	49	4d	4d	ADJ
app01-2340	46	50	world	world	NOUN
app01-2340	46	51	weakgravity	weakgravity	NOUN
app01-2340	46	52	brane	brane	NOUN
app01-2340	46	53	.	.	PUNCT
app01-2340	47	1	ds2	ds2	PROPN
app01-2340	47	2	=	=	PUNCT
app01-2340	47	3	−e(u	−e(u	PROPN
app01-2340	47	4	/	/	SYM
app01-2340	47	5	l	l	NOUN
app01-2340	47	6	)	)	PUNCT
app01-2340	47	7	m	m	PROPN
app01-2340	47	8	t	t	PROPN
app01-2340	47	9	/	/	SYM
app01-2340	47	10	ψ	ψ	NOUN
app01-2340	47	11	c2	c2	PROPN
app01-2340	47	12	dt2	dt2	PROPN
app01-2340	47	13	+	+	CCONJ
app01-2340	47	14	e(ul	e(ul	X
app01-2340	47	15	)	)	PUNCT
app01-2340	48	1	p	p	PROPN
app01-2340	48	2	t	t	PROPN
app01-2340	48	3	/	/	SYM
app01-2340	48	4	β	β	X
app01-2340	48	5	du2	du2	NOUN
app01-2340	48	6	+	+	CCONJ
app01-2340	48	7	e(1−b(ul	e(1−b(ul	NUM
app01-2340	48	8	)	)	PUNCT
app01-2340	49	1	n	n	CCONJ
app01-2340	49	2	)	)	PUNCT
app01-2340	49	3	2	2	NUM
app01-2340	49	4	t	t	PROPN
app01-2340	49	5	/	/	SYM
app01-2340	49	6	αth	αth	NUM
app01-2340	49	7	e−(ul	e−(ul	NOUN
app01-2340	50	1	)	)	PUNCT
app01-2340	50	2	k	k	NOUN
app01-2340	50	3	(	(	PUNCT
app01-2340	50	4	1−	1−	NUM
app01-2340	50	5	t	t	PROPN
app01-2340	50	6	φ	φ	PROPN
app01-2340	50	7	)	)	PUNCT
app01-2340	50	8	dxi	dxi	PROPN
app01-2340	50	9	dx	dx	PROPN
app01-2340	51	1	i	i	PRON
app01-2340	51	2	,	,	PUNCT
app01-2340	51	3	(	(	PUNCT
app01-2340	51	4	5	5	NUM
app01-2340	51	5	)	)	PUNCT
app01-2340	51	6	where	where	SCONJ
app01-2340	51	7	i	i	PRON
app01-2340	51	8	=	=	NOUN
app01-2340	51	9	1	1	NUM
app01-2340	51	10	,	,	PUNCT
app01-2340	51	11	2	2	NUM
app01-2340	51	12	,	,	PUNCT
app01-2340	51	13	3	3	NUM
app01-2340	51	14	,	,	PUNCT
app01-2340	51	15	τh	τh	ADP
app01-2340	51	16	is	be	AUX
app01-2340	51	17	the	the	DET
app01-2340	51	18	hubble	hubble	ADJ
app01-2340	51	19	time	time	NOUN
app01-2340	51	20	,	,	PUNCT
app01-2340	51	21	l	l	NOUN
app01-2340	51	22	=	=	SYM
app01-2340	51	23	lpl	lpl	PROPN
app01-2340	51	24	is	be	AUX
app01-2340	51	25	the	the	DET
app01-2340	51	26	planck	planck	NOUN
app01-2340	51	27	length	length	NOUN
app01-2340	51	28	,	,	PUNCT
app01-2340	51	29	τpl	τpl	VERB
app01-2340	51	30	=	=	SYM
app01-2340	51	31	lpl	lpl	PROPN
app01-2340	51	32	/	/	SYM
app01-2340	51	33	c	c	PROPN
app01-2340	51	34	is	be	AUX
app01-2340	51	35	the	the	DET
app01-2340	51	36	planck	planck	NOUN
app01-2340	51	37	time	time	NOUN
app01-2340	51	38	,	,	PUNCT
app01-2340	51	39	u	u	NOUN
app01-2340	51	40	is	be	AUX
app01-2340	51	41	the	the	DET
app01-2340	51	42	coordinate	coordinate	NOUN
app01-2340	51	43	in	in	ADP
app01-2340	51	44	the	the	DET
app01-2340	51	45	fifth	fifth	ADJ
app01-2340	51	46	dimension	dimension	NOUN
app01-2340	51	47	,	,	PUNCT
app01-2340	51	48	and	and	CCONJ
app01-2340	51	49	the	the	DET
app01-2340	51	50	remaining	remain	VERB
app01-2340	51	51	,	,	PUNCT
app01-2340	51	52	non	non	ADJ
app01-2340	51	53	-	-	ADJ
app01-2340	51	54	coordinate	coordinate	ADJ
app01-2340	51	55	quantities	quantity	NOUN
app01-2340	51	56	are	be	AUX
app01-2340	51	57	arbitrary	arbitrary	ADJ
app01-2340	51	58	parameters	parameter	NOUN
app01-2340	51	59	.	.	PUNCT
app01-2340	52	1	although	although	SCONJ
app01-2340	52	2	the	the	DET
app01-2340	52	3	five	five	NUM
app01-2340	52	4	-	-	PUNCT
app01-2340	52	5	dimensional	dimensional	ADJ
app01-2340	52	6	covariant	covariant	ADJ
app01-2340	52	7	divergence	divergence	NOUN
app01-2340	52	8	of	of	ADP
app01-2340	52	9	the	the	DET
app01-2340	52	10	energy	energy	NOUN
app01-2340	52	11	-	-	PUNCT
app01-2340	52	12	momentum	momentum	NOUN
app01-2340	52	13	tensor	tensor	NOUN
app01-2340	52	14	does	do	AUX
app01-2340	52	15	not	not	PART
app01-2340	52	16	vanish	vanish	VERB
app01-2340	52	17	everywhere	everywhere	ADV
app01-2340	52	18	,	,	PUNCT
app01-2340	52	19	it	it	PRON
app01-2340	52	20	vanishes	vanish	VERB
app01-2340	52	21	on	on	ADP
app01-2340	52	22	the	the	DET
app01-2340	52	23	weak	weak	ADJ
app01-2340	52	24	-	-	PUNCT
app01-2340	52	25	gravity	gravity	NOUN
app01-2340	52	26	(	(	PUNCT
app01-2340	52	27	weak	weak	ADJ
app01-2340	52	28	)	)	PUNCT
app01-2340	52	29	brane	brane	NOUN
app01-2340	52	30	(	(	PUNCT
app01-2340	52	31	u	u	NOUN
app01-2340	52	32	=	=	NOUN
app01-2340	52	33	0	0	NUM
app01-2340	52	34	)	)	PUNCT
app01-2340	52	35	,	,	PUNCT
app01-2340	52	36	and	and	CCONJ
app01-2340	52	37	it	it	PRON
app01-2340	52	38	is	be	AUX
app01-2340	52	39	approximately	approximately	ADV
app01-2340	52	40	zero	zero	NUM
app01-2340	52	41	on	on	ADP
app01-2340	52	42	the	the	DET
app01-2340	52	43	strong	strong	ADJ
app01-2340	52	44	-	-	PUNCT
app01-2340	52	45	gravity	gravity	NOUN
app01-2340	52	46	(	(	PUNCT
app01-2340	52	47	strong	strong	ADJ
app01-2340	52	48	)	)	PUNCT
app01-2340	52	49	brane	brane	NOUN
app01-2340	52	50	(	(	PUNCT
app01-2340	52	51	u	u	NOUN
app01-2340	52	52	=	=	PROPN
app01-2340	52	53	l	l	NOUN
app01-2340	52	54	)	)	PUNCT
app01-2340	52	55	for	for	ADP
app01-2340	52	56	very	very	ADV
app01-2340	52	57	small	small	ADJ
app01-2340	52	58	dimensionless	dimensionless	NOUN
app01-2340	52	59	ratios	ratio	NOUN
app01-2340	52	60	β	β	NOUN
app01-2340	52	61	/	/	SYM
app01-2340	52	62	τh	τh	ADP
app01-2340	52	63	and	and	CCONJ
app01-2340	52	64	ψ	ψ	X
app01-2340	52	65	/	/	SYM
app01-2340	52	66	τh	τh	ADP
app01-2340	52	67	with	with	ADP
app01-2340	52	68	ψ	ψ	X
app01-2340	52	69	<	<	X
app01-2340	52	70	0	0	NUM
app01-2340	52	71	and	and	CCONJ
app01-2340	52	72	β	β	X
app01-2340	52	73	>	>	X
app01-2340	52	74	0	0	NUM
app01-2340	52	75	,	,	PUNCT
app01-2340	52	76	with	with	ADP
app01-2340	52	77	the	the	DET
app01-2340	52	78	conditions	condition	NOUN
app01-2340	52	79	a	a	X
app01-2340	52	80	)	)	PUNCT
app01-2340	52	81	τh(ψ+β)/(ψβ	τh(ψ+β)/(ψβ	NUM
app01-2340	52	82	)	)	PUNCT
app01-2340	52	83	>	>	PUNCT
app01-2340	52	84	>	>	X
app01-2340	53	1	1	1	NUM
app01-2340	53	2	,	,	PUNCT
app01-2340	53	3	b	b	NOUN
app01-2340	53	4	)	)	PUNCT
app01-2340	53	5	2(b−1)/α	2(b−1)/α	NOUN
app01-2340	53	6	>	>	PUNCT
app01-2340	53	7	τh	τh	ADP
app01-2340	53	8	/	/	SYM
app01-2340	53	9	φ−1	φ−1	PROPN
app01-2340	53	10	,	,	PUNCT
app01-2340	53	11	and	and	CCONJ
app01-2340	53	12	c	c	X
app01-2340	53	13	)	)	PUNCT
app01-2340	53	14	α2	α2	NOUN
app01-2340	53	15	=	=	SYM
app01-2340	54	1	3	3	X
app01-2340	54	2	.	.	X
app01-2340	54	3	g00	g00	NOUN
app01-2340	54	4	in	in	ADP
app01-2340	54	5	the	the	DET
app01-2340	54	6	metric	metric	NOUN
app01-2340	54	7	above	above	ADV
app01-2340	54	8	then	then	ADV
app01-2340	54	9	defines	define	VERB
app01-2340	54	10	the	the	DET
app01-2340	54	11	confining	confine	VERB
app01-2340	54	12	potential	potential	NOUN
app01-2340	54	13	for	for	ADP
app01-2340	54	14	the	the	DET
app01-2340	54	15	strong	strong	ADJ
app01-2340	54	16	brane	brane	NOUN
app01-2340	54	17	.	.	PUNCT
app01-2340	55	1	gravitons	graviton	NOUN
app01-2340	55	2	from	from	ADP
app01-2340	55	3	our	our	PRON
app01-2340	55	4	brane	brane	NOUN
app01-2340	55	5	stimulate	stimulate	VERB
app01-2340	55	6	transitions	transition	NOUN
app01-2340	55	7	between	between	ADP
app01-2340	55	8	bound	bind	VERB
app01-2340	55	9	states	state	NOUN
app01-2340	55	10	on	on	ADP
app01-2340	55	11	the	the	DET
app01-2340	55	12	strong	strong	ADJ
app01-2340	55	13	brane	brane	NOUN
app01-2340	55	14	,	,	PUNCT
app01-2340	55	15	resulting	result	VERB
app01-2340	55	16	in	in	ADP
app01-2340	55	17	the	the	DET
app01-2340	55	18	emission	emission	NOUN
app01-2340	55	19	of	of	ADP
app01-2340	55	20	gravitons	graviton	NOUN
app01-2340	55	21	onto	onto	ADP
app01-2340	55	22	our	our	PRON
app01-2340	55	23	brane	brane	NOUN
app01-2340	55	24	.	.	PUNCT
app01-2340	56	1	this	this	DET
app01-2340	56	2	metric	metric	NOUN
app01-2340	56	3	describes	describe	VERB
app01-2340	56	4	a	a	DET
app01-2340	56	5	weak	weak	ADJ
app01-2340	56	6	brane	brane	NOUN
app01-2340	56	7	for	for	ADP
app01-2340	56	8	our	our	PRON
app01-2340	56	9	world	world	NOUN
app01-2340	56	10	which	which	PRON
app01-2340	56	11	is	be	AUX
app01-2340	56	12	expanding	expand	VERB
app01-2340	56	13	with	with	ADP
app01-2340	56	14	time	time	NOUN
app01-2340	56	15	,	,	PUNCT
app01-2340	56	16	and	and	CCONJ
app01-2340	56	17	a	a	DET
app01-2340	56	18	strong	strong	ADJ
app01-2340	56	19	brane	brane	NOUN
app01-2340	56	20	which	which	PRON
app01-2340	56	21	is	be	AUX
app01-2340	56	22	contracting	contract	VERB
app01-2340	56	23	with	with	ADP
app01-2340	56	24	time	time	NOUN
app01-2340	56	25	,	,	PUNCT
app01-2340	56	26	albeit	albeit	SCONJ
app01-2340	56	27	very	very	ADV
app01-2340	56	28	slowly	slowly	ADV
app01-2340	56	29	for	for	ADP
app01-2340	56	30	the	the	DET
app01-2340	56	31	latter	latter	ADJ
app01-2340	56	32	brane	brane	NOUN
app01-2340	56	33	.	.	PUNCT
app01-2340	57	1	the	the	DET
app01-2340	57	2	5d	5d	NUM
app01-2340	57	3	-	-	PUNCT
app01-2340	57	4	cosmological	cosmological	ADJ
app01-2340	57	5	constant	constant	NOUN
app01-2340	57	6	measured	measure	VERB
app01-2340	57	7	on	on	ADP
app01-2340	57	8	the	the	DET
app01-2340	57	9	weak	weak	ADJ
app01-2340	57	10	brane	brane	NOUN
app01-2340	57	11	is	be	AUX
app01-2340	57	12	ωweak	ωweak	NOUN
app01-2340	57	13	=	=	SYM
app01-2340	57	14	−	−	PROPN
app01-2340	57	15	(	(	PUNCT
app01-2340	57	16	τpl	τpl	NOUN
app01-2340	57	17	τh	τh	ADP
app01-2340	57	18	)	)	PUNCT
app01-2340	57	19	2	2	X
app01-2340	57	20	.	.	PUNCT
app01-2340	58	1	figure	figure	NOUN
app01-2340	58	2	1	1	NUM
app01-2340	58	3	:	:	PUNCT
app01-2340	58	4	the	the	DET
app01-2340	58	5	stimulated	stimulated	ADJ
app01-2340	58	6	emission	emission	NOUN
app01-2340	58	7	of	of	ADP
app01-2340	58	8	gravitons	graviton	NOUN
app01-2340	58	9	in	in	ADP
app01-2340	58	10	a	a	DET
app01-2340	58	11	shell	shell	NOUN
app01-2340	58	12	in	in	ADP
app01-2340	58	13	our	our	PRON
app01-2340	58	14	model	model	NOUN
app01-2340	58	15	the	the	DET
app01-2340	58	16	gravitons	graviton	NOUN
app01-2340	58	17	on	on	ADP
app01-2340	58	18	the	the	DET
app01-2340	58	19	strong	strong	ADJ
app01-2340	58	20	-	-	PUNCT
app01-2340	58	21	gravity	gravity	NOUN
app01-2340	58	22	brane	brane	NOUN
app01-2340	58	23	obey	obey	VERB
app01-2340	58	24	a	a	DET
app01-2340	58	25	planck	planck	NOUN
app01-2340	58	26	-	-	PUNCT
app01-2340	58	27	like	like	ADJ
app01-2340	58	28	distribution	distribution	NOUN
app01-2340	58	29	with	with	ADP
app01-2340	58	30	planck	planck	NOUN
app01-2340	58	31	temperature	temperature	NOUN
app01-2340	58	32	.	.	PUNCT
app01-2340	59	1	we	we	PRON
app01-2340	59	2	adopt	adopt	VERB
app01-2340	59	3	the	the	DET
app01-2340	59	4	point	point	NOUN
app01-2340	59	5	of	of	ADP
app01-2340	59	6	view	view	NOUN
app01-2340	59	7	that	that	SCONJ
app01-2340	59	8	the	the	DET
app01-2340	59	9	planck	planck	NOUN
app01-2340	59	10	scales	scale	NOUN
app01-2340	59	11	are	be	AUX
app01-2340	59	12	limits	limit	NOUN
app01-2340	59	13	:	:	PUNCT
app01-2340	59	14	nothing	nothing	PRON
app01-2340	59	15	can	can	AUX
app01-2340	59	16	go	go	VERB
app01-2340	59	17	below	below	ADP
app01-2340	59	18	planck	planck	NOUN
app01-2340	59	19	time	time	NOUN
app01-2340	59	20	21	21	NUM
app01-2340	59	21	peter	peter	PROPN
app01-2340	59	22	l.	l.	PROPN
app01-2340	59	23	biermann	biermann	PROPN
app01-2340	59	24	,	,	PUNCT
app01-2340	59	25	benjamin	benjamin	PROPN
app01-2340	59	26	c.	c.	PROPN
app01-2340	59	27	harms	harm	VERB
app01-2340	59	28	and	and	CCONJ
app01-2340	59	29	planck	planck	NOUN
app01-2340	59	30	length	length	NOUN
app01-2340	59	31	,	,	PUNCT
app01-2340	59	32	and	and	CCONJ
app01-2340	59	33	no	no	DET
app01-2340	59	34	single	single	ADJ
app01-2340	59	35	particle	particle	NOUN
app01-2340	59	36	can	can	AUX
app01-2340	59	37	go	go	VERB
app01-2340	59	38	beyond	beyond	ADP
app01-2340	59	39	planck	planck	NOUN
app01-2340	59	40	energy	energy	NOUN
app01-2340	59	41	,	,	PUNCT
app01-2340	59	42	in	in	ADP
app01-2340	59	43	any	any	DET
app01-2340	59	44	frame	frame	NOUN
app01-2340	59	45	.	.	PUNCT
app01-2340	60	1	the	the	DET
app01-2340	60	2	strong	strong	ADJ
app01-2340	60	3	brane	brane	NOUN
app01-2340	60	4	is	be	AUX
app01-2340	60	5	stable	stable	ADJ
app01-2340	60	6	against	against	ADP
app01-2340	60	7	collapse	collapse	NOUN
app01-2340	60	8	,	,	PUNCT
app01-2340	60	9	since	since	SCONJ
app01-2340	60	10	given	give	VERB
app01-2340	60	11	a	a	DET
app01-2340	60	12	planck	planck	NOUN
app01-2340	60	13	spectrum	spectrum	NOUN
app01-2340	60	14	for	for	ADP
app01-2340	60	15	any	any	DET
app01-2340	60	16	wavelength	wavelength	NOUN
app01-2340	60	17	λ	λ	PROPN
app01-2340	60	18	the	the	DET
app01-2340	60	19	free	free	ADJ
app01-2340	60	20	-	-	PUNCT
app01-2340	60	21	fall	fall	NOUN
app01-2340	60	22	time	time	NOUN
app01-2340	60	23	scale	scale	NOUN
app01-2340	60	24	τff	τff	NOUN
app01-2340	60	25	is	be	AUX
app01-2340	60	26	always	always	ADV
app01-2340	60	27	either	either	CCONJ
app01-2340	60	28	equal	equal	ADJ
app01-2340	60	29	or	or	CCONJ
app01-2340	60	30	longer	long	ADJ
app01-2340	60	31	than	than	ADP
app01-2340	60	32	the	the	DET
app01-2340	60	33	pressure	pressure	NOUN
app01-2340	60	34	wave	wave	NOUN
app01-2340	60	35	time	time	NOUN
app01-2340	60	36	scale	scale	NOUN
app01-2340	60	37	τs	τs	ADP
app01-2340	60	38	.	.	PUNCT
app01-2340	60	39	figure	figure	NOUN
app01-2340	60	40	2	2	NUM
app01-2340	60	41	:	:	PUNCT
app01-2340	60	42	the	the	DET
app01-2340	60	43	strong	strong	ADJ
app01-2340	60	44	-	-	PUNCT
app01-2340	60	45	gravity	gravity	NOUN
app01-2340	60	46	(	(	PUNCT
app01-2340	60	47	planck	planck	NOUN
app01-2340	60	48	brane	brane	NOUN
app01-2340	60	49	)	)	PUNCT
app01-2340	60	50	and	and	CCONJ
app01-2340	60	51	weak	weak	ADJ
app01-2340	60	52	-	-	PUNCT
app01-2340	60	53	gravity	gravity	NOUN
app01-2340	60	54	(	(	PUNCT
app01-2340	60	55	tev	tev	PROPN
app01-2340	60	56	brane	brane	NOUN
app01-2340	60	57	)	)	PUNCT
app01-2340	60	58	branes	brane	NOUN
app01-2340	60	59	τff	τff	NOUN
app01-2340	61	1	=	=	PRON
app01-2340	61	2	τpl	τpl	PROPN
app01-2340	61	3	(	(	PUNCT
app01-2340	61	4	λ	λ	X
app01-2340	61	5	lpl	lpl	PROPN
app01-2340	61	6	)	)	PUNCT
app01-2340	61	7	3/2	3/2	NUM
app01-2340	61	8	≥	≥	NOUN
app01-2340	61	9	τpl	τpl	NOUN
app01-2340	62	1	(	(	PUNCT
app01-2340	62	2	λ	λ	X
app01-2340	62	3	lpl	lpl	PROPN
app01-2340	62	4	)	)	PUNCT
app01-2340	62	5	=	=	PUNCT
app01-2340	62	6	τs	τs	PROPN
app01-2340	62	7	.	.	NOUN
app01-2340	62	8	2	2	NUM
app01-2340	62	9	stimulate	stimulate	VERB
app01-2340	62	10	emission	emission	NOUN
app01-2340	62	11	of	of	ADP
app01-2340	62	12	energy	energy	NOUN
app01-2340	62	13	from	from	ADP
app01-2340	62	14	the	the	DET
app01-2340	62	15	strong	strong	ADJ
app01-2340	62	16	-	-	PUNCT
app01-2340	62	17	gravity	gravity	NOUN
app01-2340	62	18	brane	brane	NOUN
app01-2340	62	19	in	in	ADP
app01-2340	62	20	the	the	DET
app01-2340	62	21	following	following	NOUN
app01-2340	62	22	we	we	PRON
app01-2340	62	23	use	use	VERB
app01-2340	62	24	a	a	DET
app01-2340	62	25	particle	particle	NOUN
app01-2340	62	26	-	-	PUNCT
app01-2340	62	27	wave	wave	NOUN
app01-2340	62	28	duality	duality	NOUN
app01-2340	62	29	for	for	ADP
app01-2340	62	30	gravitons	graviton	NOUN
app01-2340	62	31	at	at	ADP
app01-2340	62	32	high	high	ADJ
app01-2340	62	33	energy	energy	NOUN
app01-2340	62	34	,	,	PUNCT
app01-2340	62	35	which	which	PRON
app01-2340	62	36	thus	thus	ADV
app01-2340	62	37	associates	associate	VERB
app01-2340	62	38	a	a	DET
app01-2340	62	39	wavenumber	wavenumber	NOUN
app01-2340	62	40	~k	~k	PUNCT
app01-2340	62	41	/	/	SYM
app01-2340	62	42	h̄	h̄	NOUN
app01-2340	62	43	and	and	CCONJ
app01-2340	62	44	a	a	DET
app01-2340	62	45	corresponding	corresponding	ADJ
app01-2340	62	46	length	length	NOUN
app01-2340	62	47	-	-	PUNCT
app01-2340	62	48	scale	scale	NOUN
app01-2340	62	49	λ	λ	NOUN
app01-2340	62	50	to	to	ADP
app01-2340	62	51	each	each	DET
app01-2340	62	52	spatial	spatial	ADJ
app01-2340	62	53	direction	direction	NOUN
app01-2340	62	54	,	,	PUNCT
app01-2340	62	55	and	and	CCONJ
app01-2340	62	56	we	we	PRON
app01-2340	62	57	assume	assume	VERB
app01-2340	62	58	localization	localization	NOUN
app01-2340	62	59	is	be	AUX
app01-2340	62	60	possible	possible	ADJ
app01-2340	62	61	to	to	ADP
app01-2340	62	62	about	about	ADP
app01-2340	62	63	a	a	DET
app01-2340	62	64	wavelength	wavelength	NOUN
app01-2340	62	65	.	.	PUNCT
app01-2340	63	1	2.1	2.1	NUM
app01-2340	63	2	rate	rate	NOUN
app01-2340	63	3	of	of	ADP
app01-2340	63	4	energy	energy	NOUN
app01-2340	63	5	transfer	transfer	NOUN
app01-2340	63	6	the	the	DET
app01-2340	63	7	distribution	distribution	NOUN
app01-2340	63	8	function	function	NOUN
app01-2340	63	9	n	n	CCONJ
app01-2340	63	10	(	(	PUNCT
app01-2340	63	11	k	k	X
app01-2340	63	12	,	,	PUNCT
app01-2340	63	13	t	t	PROPN
app01-2340	63	14	)	)	PUNCT
app01-2340	63	15	is	be	AUX
app01-2340	63	16	the	the	DET
app01-2340	63	17	distribution	distribution	NOUN
app01-2340	63	18	of	of	ADP
app01-2340	63	19	occupied	occupy	VERB
app01-2340	63	20	allowed	allow	VERB
app01-2340	63	21	states	state	NOUN
app01-2340	63	22	on	on	ADP
app01-2340	63	23	our	our	PRON
app01-2340	63	24	brane	brane	NOUN
app01-2340	63	25	for	for	ADP
app01-2340	63	26	gravitons	graviton	NOUN
app01-2340	63	27	with	with	ADP
app01-2340	63	28	momenta	momenta	NOUN
app01-2340	63	29	k	k	NOUN
app01-2340	63	30	=	=	PUNCT
app01-2340	63	31	|~k|	|~k|	X
app01-2340	63	32	and	and	CCONJ
app01-2340	63	33	p	p	NOUN
app01-2340	63	34	=	=	NOUN
app01-2340	63	35	|~p|	|~p|	PROPN
app01-2340	63	36	at	at	ADP
app01-2340	63	37	time	time	NOUN
app01-2340	63	38	t	t	NOUN
app01-2340	63	39	on	on	ADP
app01-2340	63	40	the	the	DET
app01-2340	63	41	shell	shell	NOUN
app01-2340	63	42	and	and	CCONJ
app01-2340	63	43	satisfies	satisfy	VERB
app01-2340	63	44	the	the	DET
app01-2340	63	45	equation	equation	NOUN
app01-2340	63	46	(	(	PUNCT
app01-2340	63	47	∂	∂	NUM
app01-2340	63	48	∂t	∂t	PROPN
app01-2340	63	49	−	−	PROPN
app01-2340	63	50	ṙ(t	ṙ(t	PROPN
app01-2340	63	51	)	)	PUNCT
app01-2340	63	52	r(t	r(t	NOUN
app01-2340	63	53	)	)	PUNCT
app01-2340	64	1	k	k	NOUN
app01-2340	64	2	∂	∂	PUNCT
app01-2340	65	1	∂k	∂k	NOUN
app01-2340	65	2	)	)	PUNCT
app01-2340	66	1	n	n	PROPN
app01-2340	66	2	(	(	PUNCT
app01-2340	66	3	k	k	X
app01-2340	66	4	,	,	PUNCT
app01-2340	66	5	t	t	PROPN
app01-2340	66	6	)	)	PUNCT
app01-2340	66	7	=	=	SYM
app01-2340	67	1	1	1	NUM
app01-2340	67	2	k	k	PROPN
app01-2340	67	3	∫	∫	PROPN
app01-2340	67	4	d3	d3	PROPN
app01-2340	67	5	k′	k′	PROPN
app01-2340	67	6	(	(	PUNCT
app01-2340	67	7	2π)3	2π)3	NUM
app01-2340	67	8	2	2	NUM
app01-2340	67	9	k′	k′	PROPN
app01-2340	67	10	∫	∫	PROPN
app01-2340	67	11	cd3	cd3	PROPN
app01-2340	67	12	p	p	X
app01-2340	67	13	(	(	PUNCT
app01-2340	67	14	2π)3	2π)3	NUM
app01-2340	67	15	2e(p	2e(p	NOUN
app01-2340	67	16	)	)	PUNCT
app01-2340	67	17	∫	∫	PROPN
app01-2340	68	1	cd3	cd3	PROPN
app01-2340	68	2	p′	p′	PROPN
app01-2340	68	3	(	(	PUNCT
app01-2340	68	4	2π)3	2π)3	NUM
app01-2340	68	5	2e(p′	2e(p′	PROPN
app01-2340	68	6	)	)	PUNCT
app01-2340	68	7	∫	∫	PROPN
app01-2340	68	8	d3	d3	PROPN
app01-2340	68	9	k′′	k′′	PROPN
app01-2340	68	10	(	(	PUNCT
app01-2340	68	11	2π)3	2π)3	NUM
app01-2340	68	12	2	2	NUM
app01-2340	68	13	k′′	k′′	NOUN
app01-2340	68	14	γ2	γ2	NOUN
app01-2340	68	15	|m	|m	NOUN
app01-2340	68	16	|2	|2	NUM
app01-2340	68	17	(	(	PUNCT
app01-2340	68	18	2π)4δ4(k	2π)4δ4(k	NUM
app01-2340	68	19	+	+	ADJ
app01-2340	68	20	q−k	q−k	ADJ
app01-2340	68	21	′	′	ADJ
app01-2340	68	22	−k	−k	PROPN
app01-2340	68	23	′′	′′	PROPN
app01-2340	68	24	−q′	−q′	NOUN
app01-2340	68	25	)	)	PUNCT
app01-2340	68	26	(	(	PUNCT
app01-2340	68	27	2π)6	2π)6	NUM
app01-2340	68	28	δ3(~k′	δ3(~k′	VERB
app01-2340	68	29	−	−	PROPN
app01-2340	68	30	~k′′	~k′′	NOUN
app01-2340	68	31	)	)	PUNCT
app01-2340	68	32	δ3(~k	δ3(~k	PUNCT
app01-2340	68	33	−	−	PROPN
app01-2340	68	34	~k′	~k′	PROPN
app01-2340	68	35	)	)	PUNCT
app01-2340	69	1	[	[	X
app01-2340	69	2	gb(p	gb(p	X
app01-2340	69	3	′	′	NOUN
app01-2340	69	4	,	,	PUNCT
app01-2340	69	5	t)(1	t)(1	X
app01-2340	70	1	+	+	ADJ
app01-2340	70	2	n	n	X
app01-2340	70	3	(	(	PUNCT
app01-2340	70	4	k	k	X
app01-2340	70	5	,	,	PUNCT
app01-2340	70	6	t	t	PROPN
app01-2340	70	7	)	)	PUNCT
app01-2340	70	8	)	)	PUNCT
app01-2340	70	9	(	(	PUNCT
app01-2340	70	10	(	(	PUNCT
app01-2340	70	11	n	n	X
app01-2340	70	12	(	(	PUNCT
app01-2340	70	13	k′	k′	PROPN
app01-2340	70	14	,	,	PUNCT
app01-2340	70	15	t	t	PROPN
app01-2340	70	16	)	)	PUNCT
app01-2340	70	17	+	+	NUM
app01-2340	70	18	1)(n	1)(n	NUM
app01-2340	70	19	(	(	PUNCT
app01-2340	70	20	k′′	k′′	PROPN
app01-2340	70	21	,	,	PUNCT
app01-2340	70	22	t	t	PROPN
app01-2340	70	23	)	)	PUNCT
app01-2340	70	24	+	+	PROPN
app01-2340	71	1	1)−	1)−	NUM
app01-2340	71	2	1	1	NUM
app01-2340	71	3	)	)	PUNCT
app01-2340	71	4	−	−	PROPN
app01-2340	72	1	n	n	CCONJ
app01-2340	72	2	(	(	PUNCT
app01-2340	72	3	k	k	NOUN
app01-2340	72	4	,	,	PUNCT
app01-2340	72	5	t)gb(p	t)gb(p	PRON
app01-2340	72	6	,	,	PUNCT
app01-2340	72	7	t)(1	t)(1	X
app01-2340	73	1	+	+	VERB
app01-2340	73	2	n	n	X
app01-2340	73	3	(	(	PUNCT
app01-2340	73	4	k′	k′	PROPN
app01-2340	73	5	,	,	PUNCT
app01-2340	73	6	t))(1	t))(1	ADP
app01-2340	73	7	+	+	NOUN
app01-2340	73	8	n	n	CCONJ
app01-2340	73	9	(	(	PUNCT
app01-2340	73	10	k′′	k′′	PROPN
app01-2340	73	11	,	,	PUNCT
app01-2340	73	12	t	t	PROPN
app01-2340	73	13	)	)	PUNCT
app01-2340	73	14	)	)	PUNCT
app01-2340	73	15	]	]	PUNCT
app01-2340	73	16	.	.	PUNCT
app01-2340	74	1	(	(	PUNCT
app01-2340	74	2	6	6	NUM
app01-2340	74	3	)	)	PUNCT
app01-2340	74	4	where	where	SCONJ
app01-2340	74	5	k	k	NOUN
app01-2340	74	6	=	=	PRON
app01-2340	74	7	(	(	PUNCT
app01-2340	74	8	k,~k	k,~k	NUM
app01-2340	74	9	)	)	PUNCT
app01-2340	74	10	,	,	PUNCT
app01-2340	74	11	γ	γ	X
app01-2340	74	12	=	=	SYM
app01-2340	74	13	k3ref,1	k3ref,1	PROPN
app01-2340	74	14	,	,	PUNCT
app01-2340	74	15	and	and	CCONJ
app01-2340	74	16	q	q	NOUN
app01-2340	74	17	=	=	SYM
app01-2340	74	18	(	(	PUNCT
app01-2340	74	19	e	e	NOUN
app01-2340	74	20	,	,	PUNCT
app01-2340	74	21	~p	~p	NUM
app01-2340	74	22	)	)	PUNCT
app01-2340	74	23	.	.	PUNCT
app01-2340	75	1	kref,1	kref,1	VERB
app01-2340	75	2	is	be	AUX
app01-2340	75	3	a	a	DET
app01-2340	75	4	reference	reference	NOUN
app01-2340	75	5	momentum	momentum	NOUN
app01-2340	75	6	to	to	PART
app01-2340	75	7	be	be	AUX
app01-2340	75	8	determined	determine	VERB
app01-2340	75	9	below	below	ADV
app01-2340	75	10	.	.	PUNCT
app01-2340	76	1	the	the	DET
app01-2340	76	2	δ	δ	PROPN
app01-2340	76	3	-	-	PUNCT
app01-2340	76	4	functions	function	NOUN
app01-2340	76	5	,	,	PUNCT
app01-2340	76	6	δ3(~k′	δ3(~k′	VERB
app01-2340	76	7	−	−	PROPN
app01-2340	76	8	~k′′	~k′′	NOUN
app01-2340	76	9	)	)	PUNCT
app01-2340	76	10	and	and	CCONJ
app01-2340	76	11	δ3(~k	δ3(~k	NUM
app01-2340	76	12	−	−	ADP
app01-2340	76	13	~k′	~k′	NUM
app01-2340	76	14	)	)	PUNCT
app01-2340	76	15	,	,	PUNCT
app01-2340	76	16	have	have	AUX
app01-2340	76	17	been	be	AUX
app01-2340	76	18	inserted	insert	VERB
app01-2340	76	19	to	to	PART
app01-2340	76	20	impose	impose	VERB
app01-2340	76	21	coherence	coherence	NOUN
app01-2340	76	22	of	of	ADP
app01-2340	76	23	the	the	DET
app01-2340	76	24	outgoing	outgoing	ADJ
app01-2340	76	25	gravitons	graviton	NOUN
app01-2340	76	26	.	.	PUNCT
app01-2340	77	1	|m	|m	NOUN
app01-2340	77	2	|2	|2	NUM
app01-2340	77	3	is	be	AUX
app01-2340	77	4	the	the	DET
app01-2340	77	5	matrix	matrix	NOUN
app01-2340	77	6	element	element	NOUN
app01-2340	77	7	squared	square	VERB
app01-2340	77	8	for	for	ADP
app01-2340	77	9	the	the	DET
app01-2340	77	10	quadrupole	quadrupole	NOUN
app01-2340	77	11	emission	emission	NOUN
app01-2340	77	12	of	of	ADP
app01-2340	77	13	a	a	DET
app01-2340	77	14	graviton	graviton	NOUN
app01-2340	77	15	of	of	ADP
app01-2340	77	16	4	4	NUM
app01-2340	77	17	-	-	PUNCT
app01-2340	77	18	momentum	momentum	NOUN
app01-2340	77	19	k′′	k′′	NOUN
app01-2340	77	20	,	,	PUNCT
app01-2340	77	21	and	and	CCONJ
app01-2340	77	22	has	have	VERB
app01-2340	77	23	the	the	DET
app01-2340	77	24	dimensions	dimension	NOUN
app01-2340	77	25	of	of	ADP
app01-2340	77	26	(	(	PUNCT
app01-2340	77	27	momentum)−3	momentum)−3	PROPN
app01-2340	77	28	(	(	PUNCT
app01-2340	77	29	time)−1	time)−1	PROPN
app01-2340	77	30	.	.	PUNCT
app01-2340	78	1	we	we	PRON
app01-2340	78	2	will	will	AUX
app01-2340	78	3	assume	assume	VERB
app01-2340	78	4	that	that	SCONJ
app01-2340	78	5	this	this	DET
app01-2340	78	6	matrix	matrix	NOUN
app01-2340	78	7	element	element	NOUN
app01-2340	78	8	squared	square	VERB
app01-2340	78	9	is	be	AUX
app01-2340	78	10	proportional	proportional	ADJ
app01-2340	78	11	to	to	ADP
app01-2340	78	12	k5	k5	PROPN
app01-2340	78	13	.	.	PUNCT
app01-2340	79	1	gb(p	gb(p	X
app01-2340	79	2	,	,	PUNCT
app01-2340	79	3	t	t	PROPN
app01-2340	79	4	)	)	PUNCT
app01-2340	79	5	is	be	AUX
app01-2340	79	6	the	the	DET
app01-2340	79	7	occupation	occupation	NOUN
app01-2340	79	8	number	number	NOUN
app01-2340	79	9	distribution	distribution	NOUN
app01-2340	79	10	of	of	ADP
app01-2340	79	11	the	the	DET
app01-2340	79	12	background	background	NOUN
app01-2340	79	13	particle	particle	PROPN
app01-2340	79	14	sea	sea	PROPN
app01-2340	79	15	.	.	PUNCT
app01-2340	80	1	r(t	r(t	NOUN
app01-2340	80	2	)	)	PUNCT
app01-2340	80	3	=	=	PUNCT
app01-2340	81	1	(	(	PUNCT
app01-2340	81	2	1	1	NUM
app01-2340	81	3	+	+	CCONJ
app01-2340	81	4	z?)/(1	z?)/(1	NUM
app01-2340	81	5	+	+	CCONJ
app01-2340	81	6	z	z	X
app01-2340	81	7	)	)	PUNCT
app01-2340	81	8	is	be	AUX
app01-2340	81	9	the	the	DET
app01-2340	81	10	scale	scale	NOUN
app01-2340	81	11	factor	factor	NOUN
app01-2340	81	12	for	for	ADP
app01-2340	81	13	an	an	DET
app01-2340	81	14	expanding	expand	VERB
app01-2340	81	15	universe	universe	NOUN
app01-2340	81	16	.	.	PUNCT
app01-2340	82	1	the	the	DET
app01-2340	82	2	following	follow	VERB
app01-2340	82	3	analysis	analysis	NOUN
app01-2340	82	4	is	be	AUX
app01-2340	82	5	done	do	VERB
app01-2340	82	6	in	in	ADP
app01-2340	82	7	the	the	DET
app01-2340	82	8	observer	observer	NOUN
app01-2340	82	9	frame	frame	NOUN
app01-2340	82	10	.	.	PUNCT
app01-2340	83	1	the	the	DET
app01-2340	83	2	boltzmann	boltzmann	PROPN
app01-2340	83	3	equation	equation	NOUN
app01-2340	83	4	for	for	ADP
app01-2340	83	5	n	n	PROPN
app01-2340	83	6	(	(	PUNCT
app01-2340	83	7	k	k	X
app01-2340	83	8	,	,	PUNCT
app01-2340	83	9	t	t	PROPN
app01-2340	83	10	)	)	PUNCT
app01-2340	83	11	to	to	PART
app01-2340	83	12	lowest	low	ADJ
app01-2340	83	13	order	order	NOUN
app01-2340	83	14	in	in	ADP
app01-2340	83	15	the	the	DET
app01-2340	83	16	expansion	expansion	NOUN
app01-2340	83	17	of	of	ADP
app01-2340	83	18	the	the	DET
app01-2340	83	19	4	4	NUM
app01-2340	83	20	-	-	PUNCT
app01-2340	83	21	dimensional	dimensional	ADJ
app01-2340	83	22	δ	δ	NOUN
app01-2340	83	23	-	-	PUNCT
app01-2340	83	24	function	function	NOUN
app01-2340	83	25	is	be	AUX
app01-2340	83	26	(	(	PUNCT
app01-2340	83	27	∂	∂	NUM
app01-2340	83	28	∂t	∂t	PROPN
app01-2340	83	29	−	−	PROPN
app01-2340	83	30	ṙ(t	ṙ(t	PROPN
app01-2340	83	31	)	)	PUNCT
app01-2340	83	32	r(t	r(t	NOUN
app01-2340	83	33	)	)	PUNCT
app01-2340	84	1	k	k	NOUN
app01-2340	84	2	∂	∂	PUNCT
app01-2340	85	1	∂k	∂k	NOUN
app01-2340	85	2	)	)	PUNCT
app01-2340	86	1	n	n	PROPN
app01-2340	86	2	(	(	PUNCT
app01-2340	86	3	k	k	X
app01-2340	86	4	,	,	PUNCT
app01-2340	86	5	t	t	PROPN
app01-2340	86	6	)	)	PUNCT
app01-2340	86	7	'	'	PUNCT
app01-2340	87	1	+	+	PROPN
app01-2340	87	2	κ	κ	X
app01-2340	87	3	k	k	PROPN
app01-2340	87	4	n	n	PROPN
app01-2340	87	5	(	(	PUNCT
app01-2340	87	6	k	k	X
app01-2340	87	7	,	,	PUNCT
app01-2340	87	8	t	t	PROPN
app01-2340	87	9	)	)	PUNCT
app01-2340	87	10	(	(	PUNCT
app01-2340	87	11	n	n	X
app01-2340	87	12	(	(	PUNCT
app01-2340	87	13	k	k	X
app01-2340	87	14	,	,	PUNCT
app01-2340	87	15	t	t	PROPN
app01-2340	87	16	)	)	PUNCT
app01-2340	87	17	+	+	CCONJ
app01-2340	87	18	1	1	NUM
app01-2340	87	19	)	)	PUNCT
app01-2340	87	20	,	,	PUNCT
app01-2340	87	21	(	(	PUNCT
app01-2340	87	22	7	7	X
app01-2340	87	23	)	)	PUNCT
app01-2340	87	24	where	where	SCONJ
app01-2340	87	25	the	the	DET
app01-2340	87	26	factor	factor	NOUN
app01-2340	87	27	κ	κ	NOUN
app01-2340	87	28	is	be	AUX
app01-2340	87	29	given	give	VERB
app01-2340	87	30	,	,	PUNCT
app01-2340	87	31	after	after	ADP
app01-2340	87	32	integration	integration	NOUN
app01-2340	87	33	over	over	ADP
app01-2340	87	34	all	all	DET
app01-2340	87	35	the	the	DET
app01-2340	87	36	δ	δ	NOUN
app01-2340	87	37	-	-	PUNCT
app01-2340	87	38	functions	function	NOUN
app01-2340	87	39	,	,	PUNCT
app01-2340	87	40	by	by	ADP
app01-2340	87	41	κ	κ	PROPN
app01-2340	87	42	=	=	SYM
app01-2340	87	43	k2ref,2h(z	k2ref,2h(z	PROPN
app01-2340	87	44	)	)	PUNCT
app01-2340	87	45	24πkbh	24πkbh	NUM
app01-2340	87	46	|m	|m	NOUN
app01-2340	87	47	|2	|2	NUM
app01-2340	87	48	ln{kbh+	ln{kbh+	X
app01-2340	87	49	k	k	X
app01-2340	87	50	}	}	PUNCT
app01-2340	87	51	.	.	PUNCT
app01-2340	88	1	(	(	PUNCT
app01-2340	88	2	8)	8)	NUM
app01-2340	88	3	in	in	ADP
app01-2340	88	4	the	the	DET
app01-2340	88	5	equation	equation	NOUN
app01-2340	88	6	above	above	ADP
app01-2340	88	7	kbh+	kbh+	NOUN
app01-2340	88	8	is	be	AUX
app01-2340	88	9	the	the	DET
app01-2340	88	10	maximum	maximum	ADJ
app01-2340	88	11	momentum	momentum	NOUN
app01-2340	88	12	at	at	ADP
app01-2340	88	13	which	which	PRON
app01-2340	88	14	stimulated	stimulate	VERB
app01-2340	88	15	emission	emission	NOUN
app01-2340	88	16	of	of	ADP
app01-2340	88	17	gravitons	graviton	NOUN
app01-2340	88	18	occurs	occur	VERB
app01-2340	88	19	,	,	PUNCT
app01-2340	88	20	just	just	ADV
app01-2340	88	21	above	above	ADP
app01-2340	88	22	the	the	DET
app01-2340	88	23	momentum	momentum	NOUN
app01-2340	88	24	of	of	ADP
app01-2340	88	25	the	the	DET
app01-2340	88	26	peak	peak	NOUN
app01-2340	88	27	of	of	ADP
app01-2340	88	28	n	n	PROPN
app01-2340	88	29	(	(	PUNCT
app01-2340	88	30	k	k	X
app01-2340	88	31	,	,	PUNCT
app01-2340	88	32	t	t	PROPN
app01-2340	88	33	)	)	PUNCT
app01-2340	88	34	.	.	PUNCT
app01-2340	89	1	since	since	SCONJ
app01-2340	89	2	the	the	DET
app01-2340	89	3	log	log	NOUN
app01-2340	89	4	-	-	PUNCT
app01-2340	89	5	term	term	NOUN
app01-2340	89	6	in	in	ADP
app01-2340	89	7	eq.8	eq.8	NOUN
app01-2340	89	8	varies	vary	VERB
app01-2340	89	9	very	very	ADV
app01-2340	89	10	slowly	slowly	ADV
app01-2340	89	11	over	over	ADP
app01-2340	89	12	the	the	DET
app01-2340	89	13	range	range	NOUN
app01-2340	89	14	of	of	ADP
app01-2340	89	15	k	k	PROPN
app01-2340	89	16	of	of	ADP
app01-2340	89	17	interest	interest	NOUN
app01-2340	89	18	we	we	PRON
app01-2340	89	19	approximate	approximate	VERB
app01-2340	89	20	this	this	DET
app01-2340	89	21	term	term	NOUN
app01-2340	89	22	with	with	ADP
app01-2340	89	23	a	a	DET
app01-2340	89	24	constant	constant	ADJ
app01-2340	89	25	and	and	CCONJ
app01-2340	89	26	set	set	VERB
app01-2340	89	27	β	β	X
app01-2340	89	28	=	=	SYM
app01-2340	89	29	{	{	PUNCT
app01-2340	89	30	ln(kbh+/k)}/(24	ln(kbh+/k)}/(24	NOUN
app01-2340	89	31	π	π	PROPN
app01-2340	89	32	)	)	PUNCT
app01-2340	89	33	.	.	PUNCT
app01-2340	90	1	|m	|m	NOUN
app01-2340	90	2	|2	|2	NUM
app01-2340	90	3	is	be	AUX
app01-2340	90	4	related	relate	VERB
app01-2340	90	5	to	to	ADP
app01-2340	90	6	|m	|m	NOUN
app01-2340	90	7	|2	|2	NUM
app01-2340	90	8	by	by	ADP
app01-2340	90	9	extracting	extract	VERB
app01-2340	90	10	the	the	DET
app01-2340	90	11	factors	factor	NOUN
app01-2340	90	12	(	(	PUNCT
app01-2340	90	13	k	k	NOUN
app01-2340	90	14	/	/	SYM
app01-2340	90	15	kref,1)3	kref,1)3	PROPN
app01-2340	90	16	/	/	SYM
app01-2340	90	17	k3ref,1	k3ref,1	ADJ
app01-2340	90	18	,	,	PUNCT
app01-2340	90	19	h(z	h(z	NOUN
app01-2340	90	20	)	)	PUNCT
app01-2340	90	21	.	.	PUNCT
app01-2340	91	1	a	a	DET
app01-2340	91	2	threshold	threshold	NOUN
app01-2340	91	3	function	function	NOUN
app01-2340	91	4	of	of	ADP
app01-2340	91	5	2	2	NUM
app01-2340	91	6	gbn/(gb	gbn/(gb	NOUN
app01-2340	91	7	+	+	CCONJ
app01-2340	91	8	n	n	CCONJ
app01-2340	91	9	)	)	PUNCT
app01-2340	91	10	arises	arise	VERB
app01-2340	91	11	from	from	ADP
app01-2340	91	12	the	the	DET
app01-2340	91	13	normalized	normalize	VERB
app01-2340	91	14	interaction	interaction	NOUN
app01-2340	91	15	between	between	ADP
app01-2340	91	16	the	the	DET
app01-2340	91	17	gravitons	graviton	NOUN
app01-2340	91	18	on	on	ADP
app01-2340	91	19	the	the	DET
app01-2340	91	20	background	background	NOUN
app01-2340	91	21	brane	brane	NOUN
app01-2340	91	22	and	and	CCONJ
app01-2340	91	23	our	our	PRON
app01-2340	91	24	brane	brane	NOUN
app01-2340	91	25	;	;	PUNCT
app01-2340	91	26	this	this	DET
app01-2340	91	27	function	function	NOUN
app01-2340	91	28	connects	connect	VERB
app01-2340	91	29	to	to	ADP
app01-2340	91	30	the	the	DET
app01-2340	91	31	strong	strong	ADJ
app01-2340	91	32	brane	brane	NOUN
app01-2340	91	33	only	only	ADV
app01-2340	91	34	if	if	SCONJ
app01-2340	91	35	n	n	PROPN
app01-2340	91	36	>	>	X
app01-2340	91	37	gb	gb	PROPN
app01-2340	91	38	,	,	PUNCT
app01-2340	91	39	which	which	PRON
app01-2340	91	40	is	be	AUX
app01-2340	91	41	the	the	DET
app01-2340	91	42	condition	condition	NOUN
app01-2340	91	43	for	for	ADP
app01-2340	91	44	stimulated	stimulated	ADJ
app01-2340	91	45	emission	emission	NOUN
app01-2340	91	46	.	.	PUNCT
app01-2340	92	1	these	these	DET
app01-2340	92	2	choices	choice	NOUN
app01-2340	92	3	do	do	AUX
app01-2340	92	4	not	not	PART
app01-2340	92	5	introduce	introduce	VERB
app01-2340	92	6	new	new	ADJ
app01-2340	92	7	constraints	constraint	NOUN
app01-2340	92	8	or	or	CCONJ
app01-2340	92	9	additional	additional	ADJ
app01-2340	92	10	assumptions	assumption	NOUN
app01-2340	92	11	.	.	PUNCT
app01-2340	93	1	next	next	ADV
app01-2340	93	2	we	we	PRON
app01-2340	93	3	redefine	redefine	VERB
app01-2340	93	4	(	(	PUNCT
app01-2340	93	5	k	k	X
app01-2340	93	6	/	/	SYM
app01-2340	93	7	kref,2)2	kref,2)2	PROPN
app01-2340	93	8	κ	κ	X
app01-2340	93	9	=	=	PUNCT
app01-2340	93	10	κ	κ	NOUN
app01-2340	93	11	to	to	PART
app01-2340	93	12	extract	extract	VERB
app01-2340	93	13	the	the	DET
app01-2340	93	14	k	k	NOUN
app01-2340	93	15	-	-	NOUN
app01-2340	93	16	dependence	dependence	NOUN
app01-2340	93	17	from	from	ADP
app01-2340	93	18	|m	|m	NOUN
app01-2340	93	19	|2	|2	NUM
app01-2340	93	20	.	.	PUNCT
app01-2340	94	1	making	make	VERB
app01-2340	94	2	the	the	DET
app01-2340	94	3	change	change	NOUN
app01-2340	94	4	of	of	ADP
app01-2340	94	5	variables	variable	NOUN
app01-2340	94	6	k	k	PROPN
app01-2340	95	1	=	=	SYM
app01-2340	95	2	k̃/r(t	k̃/r(t	NOUN
app01-2340	95	3	)	)	PUNCT
app01-2340	95	4	,	,	PUNCT
app01-2340	95	5	eq.7	eq.7	PROPN
app01-2340	95	6	can	can	AUX
app01-2340	95	7	be	be	AUX
app01-2340	95	8	written	write	VERB
app01-2340	95	9	as	as	ADP
app01-2340	95	10	∂n	∂n	PROPN
app01-2340	95	11	(	(	PUNCT
app01-2340	95	12	k̃	k̃	PROPN
app01-2340	95	13	,	,	PUNCT
app01-2340	95	14	t	t	PROPN
app01-2340	95	15	)	)	PUNCT
app01-2340	95	16	∂t	∂t	PROPN
app01-2340	95	17	'	'	PART
app01-2340	95	18	h(z	h(z	NOUN
app01-2340	95	19	)	)	PUNCT
app01-2340	95	20	k̃	k̃	PROPN
app01-2340	95	21	β	β	PROPN
app01-2340	95	22	kbh	kbh	PROPN
app01-2340	95	23	r(t	r(t	PROPN
app01-2340	95	24	)	)	PUNCT
app01-2340	95	25	n	n	PROPN
app01-2340	95	26	(	(	PUNCT
app01-2340	95	27	k̃	k̃	PROPN
app01-2340	95	28	,	,	PUNCT
app01-2340	95	29	t	t	PROPN
app01-2340	95	30	)	)	PUNCT
app01-2340	95	31	(	(	PUNCT
app01-2340	95	32	n	n	X
app01-2340	95	33	(	(	PUNCT
app01-2340	95	34	k̃	k̃	PROPN
app01-2340	95	35	,	,	PUNCT
app01-2340	95	36	t	t	PROPN
app01-2340	95	37	)	)	PUNCT
app01-2340	96	1	+	+	CCONJ
app01-2340	96	2	1	1	NUM
app01-2340	96	3	)	)	PUNCT
app01-2340	96	4	.	.	PUNCT
app01-2340	97	1	(	(	PUNCT
app01-2340	97	2	9	9	X
app01-2340	97	3	)	)	PUNCT
app01-2340	97	4	in	in	ADP
app01-2340	97	5	terms	term	NOUN
app01-2340	97	6	of	of	ADP
app01-2340	97	7	the	the	DET
app01-2340	97	8	frequency	frequency	NOUN
app01-2340	97	9	of	of	ADP
app01-2340	97	10	the	the	DET
app01-2340	97	11	wave	wave	NOUN
app01-2340	97	12	at	at	ADP
app01-2340	97	13	emission	emission	NOUN
app01-2340	97	14	this	this	DET
app01-2340	97	15	equation	equation	NOUN
app01-2340	97	16	is	be	AUX
app01-2340	97	17	∂n	∂n	PROPN
app01-2340	97	18	(	(	PUNCT
app01-2340	97	19	ν0	ν0	PROPN
app01-2340	97	20	,	,	PUNCT
app01-2340	97	21	t	t	PROPN
app01-2340	97	22	)	)	PUNCT
app01-2340	97	23	∂t	∂t	PROPN
app01-2340	97	24	'	'	PART
app01-2340	97	25	h(z)h	h(z)h	PROPN
app01-2340	97	26	ν0	ν0	PROPN
app01-2340	97	27	β	β	X
app01-2340	97	28	kbh	kbh	PROPN
app01-2340	97	29	r(t	r(t	PROPN
app01-2340	97	30	)	)	PUNCT
app01-2340	97	31	c	c	PROPN
app01-2340	97	32	n	n	CCONJ
app01-2340	97	33	(	(	PUNCT
app01-2340	97	34	ν0	ν0	PROPN
app01-2340	97	35	,	,	PUNCT
app01-2340	97	36	t)(n	t)(n	X
app01-2340	97	37	(	(	PUNCT
app01-2340	97	38	ν0	ν0	PROPN
app01-2340	97	39	,	,	PUNCT
app01-2340	97	40	t	t	PROPN
app01-2340	97	41	)	)	PUNCT
app01-2340	97	42	+	+	CCONJ
app01-2340	97	43	1	1	NUM
app01-2340	97	44	)	)	PUNCT
app01-2340	97	45	.	.	PUNCT
app01-2340	98	1	(	(	PUNCT
app01-2340	98	2	10	10	X
app01-2340	98	3	)	)	PUNCT
app01-2340	98	4	introducing	introduce	VERB
app01-2340	98	5	the	the	DET
app01-2340	98	6	dimensionless	dimensionless	NOUN
app01-2340	98	7	variables	variable	NOUN
app01-2340	98	8	x	x	PUNCT
app01-2340	98	9	=	=	SYM
app01-2340	98	10	h	h	NOUN
app01-2340	98	11	ν0	ν0	PROPN
app01-2340	98	12	kb	kb	PROPN
app01-2340	98	13	tg0	tg0	ADP
app01-2340	98	14	,	,	PUNCT
app01-2340	98	15	and	and	CCONJ
app01-2340	99	1	y	y	PROPN
app01-2340	99	2	=	=	SYM
app01-2340	99	3	∫	∫	PROPN
app01-2340	99	4	t	t	NOUN
app01-2340	99	5	0	0	NUM
app01-2340	100	1	kbtg0h(z)β	kbtg0h(z)β	PROPN
app01-2340	100	2	kbh	kbh	PROPN
app01-2340	100	3	cr(t	cr(t	NOUN
app01-2340	100	4	)	)	PUNCT
app01-2340	100	5	dt′	dt′	NOUN
app01-2340	100	6	,	,	PUNCT
app01-2340	100	7	(	(	PUNCT
app01-2340	100	8	11	11	NUM
app01-2340	100	9	)	)	PUNCT
app01-2340	101	1	where	where	SCONJ
app01-2340	101	2	kbhc	kbhc	NOUN
app01-2340	101	3	=	=	PUNCT
app01-2340	101	4	kbtg0	kbtg0	NOUN
app01-2340	101	5	=	=	PUNCT
app01-2340	101	6	mplc	mplc	NOUN
app01-2340	101	7	2	2	NUM
app01-2340	101	8	mpl	mpl	NOUN
app01-2340	101	9	8πmbh	8πmbh	NUM
app01-2340	101	10	.	.	PUNCT
app01-2340	102	1	eq.(10	eq.(10	ADJ
app01-2340	102	2	)	)	PUNCT
app01-2340	102	3	becomes	become	VERB
app01-2340	102	4	∂n	∂n	PROPN
app01-2340	102	5	∂y	∂y	PROPN
app01-2340	102	6	'	'	PUNCT
app01-2340	102	7	+	+	NOUN
app01-2340	102	8	xn	xn	PROPN
app01-2340	102	9	(	(	PUNCT
app01-2340	102	10	x	x	NOUN
app01-2340	102	11	,	,	PUNCT
app01-2340	102	12	y	y	PROPN
app01-2340	102	13	)	)	PUNCT
app01-2340	102	14	(	(	PUNCT
app01-2340	102	15	n	n	X
app01-2340	102	16	(	(	PUNCT
app01-2340	102	17	x	x	NOUN
app01-2340	102	18	,	,	PUNCT
app01-2340	102	19	y	y	PROPN
app01-2340	102	20	)	)	PUNCT
app01-2340	102	21	+	+	CCONJ
app01-2340	102	22	1	1	NUM
app01-2340	102	23	)	)	PUNCT
app01-2340	102	24	.	.	PUNCT
app01-2340	103	1	(	(	PUNCT
app01-2340	103	2	12	12	NUM
app01-2340	103	3	)	)	PUNCT
app01-2340	103	4	the	the	DET
app01-2340	103	5	solution	solution	NOUN
app01-2340	103	6	of	of	ADP
app01-2340	103	7	this	this	DET
app01-2340	103	8	equation	equation	NOUN
app01-2340	103	9	is	be	AUX
app01-2340	103	10	n	n	PRON
app01-2340	103	11	(	(	PUNCT
app01-2340	103	12	x	x	NOUN
app01-2340	103	13	,	,	PUNCT
app01-2340	103	14	y	y	NOUN
app01-2340	103	15	)	)	PUNCT
app01-2340	103	16	=	=	SYM
app01-2340	104	1	1	1	NUM
app01-2340	104	2	ex(a−y)+b	ex(a−y)+b	NOUN
app01-2340	104	3	−	−	NOUN
app01-2340	104	4	1	1	NUM
app01-2340	104	5	,	,	PUNCT
app01-2340	104	6	(	(	PUNCT
app01-2340	104	7	13	13	NUM
app01-2340	104	8	)	)	SYM
app01-2340	104	9	22	22	NUM
app01-2340	104	10	gravitational	gravitational	ADJ
app01-2340	104	11	waves	wave	NOUN
app01-2340	104	12	and	and	CCONJ
app01-2340	104	13	dark	dark	ADJ
app01-2340	104	14	energy	energy	NOUN
app01-2340	104	15	where	where	SCONJ
app01-2340	104	16	a	a	PRON
app01-2340	104	17	and	and	CCONJ
app01-2340	104	18	b	b	NOUN
app01-2340	104	19	are	be	AUX
app01-2340	104	20	constants	constant	NOUN
app01-2340	104	21	,	,	PUNCT
app01-2340	104	22	to	to	PART
app01-2340	104	23	be	be	AUX
app01-2340	104	24	determined	determine	VERB
app01-2340	104	25	later	later	ADV
app01-2340	104	26	.	.	PUNCT
app01-2340	105	1	this	this	DET
app01-2340	105	2	distribution	distribution	NOUN
app01-2340	105	3	(	(	PUNCT
app01-2340	105	4	eq.13	eq.13	X
app01-2340	105	5	)	)	PUNCT
app01-2340	105	6	is	be	AUX
app01-2340	105	7	planck	planck	NOUN
app01-2340	105	8	-	-	PUNCT
app01-2340	105	9	like	like	ADJ
app01-2340	105	10	with	with	ADP
app01-2340	105	11	a	a	DET
app01-2340	105	12	timedependent	timedependent	NOUN
app01-2340	105	13	normalized	normalize	VERB
app01-2340	105	14	temperature	temperature	NOUN
app01-2340	105	15	1	1	NUM
app01-2340	105	16	/	/	SYM
app01-2340	105	17	a.	a.	NOUN
app01-2340	105	18	the	the	DET
app01-2340	105	19	rate	rate	NOUN
app01-2340	105	20	at	at	ADP
app01-2340	105	21	which	which	PRON
app01-2340	105	22	energy	energy	NOUN
app01-2340	105	23	is	be	AUX
app01-2340	105	24	created	create	VERB
app01-2340	105	25	can	can	AUX
app01-2340	105	26	be	be	AUX
app01-2340	105	27	calculated	calculate	VERB
app01-2340	105	28	from	from	ADP
app01-2340	105	29	the	the	DET
app01-2340	105	30	expression	expression	NOUN
app01-2340	105	31	for	for	ADP
app01-2340	105	32	n	n	PROPN
app01-2340	105	33	in	in	ADP
app01-2340	105	34	eq.10	eq.10	NOUN
app01-2340	105	35	.	.	PUNCT
app01-2340	106	1	the	the	DET
app01-2340	106	2	rate	rate	NOUN
app01-2340	106	3	at	at	ADP
app01-2340	106	4	which	which	PRON
app01-2340	106	5	energy	energy	NOUN
app01-2340	106	6	is	be	AUX
app01-2340	106	7	created	create	VERB
app01-2340	106	8	can	can	AUX
app01-2340	106	9	be	be	AUX
app01-2340	106	10	calculated	calculate	VERB
app01-2340	106	11	from	from	ADP
app01-2340	106	12	the	the	DET
app01-2340	106	13	expression	expression	NOUN
app01-2340	106	14	for	for	ADP
app01-2340	106	15	n	n	PROPN
app01-2340	106	16	in	in	ADP
app01-2340	106	17	eq.(10	eq.(10	ADJ
app01-2340	106	18	)	)	PUNCT
app01-2340	106	19	.	.	PUNCT
app01-2340	107	1	the	the	DET
app01-2340	107	2	rate	rate	NOUN
app01-2340	107	3	of	of	ADP
app01-2340	107	4	energy	energy	NOUN
app01-2340	107	5	creation	creation	NOUN
app01-2340	107	6	per	per	ADP
app01-2340	107	7	existing	exist	VERB
app01-2340	107	8	graviton	graviton	NOUN
app01-2340	107	9	(	(	PUNCT
app01-2340	107	10	of	of	ADP
app01-2340	107	11	the	the	DET
app01-2340	107	12	total	total	ADJ
app01-2340	107	13	number	number	NOUN
app01-2340	107	14	ngw,0r(t)4	ngw,0r(t)4	NUM
app01-2340	107	15	)	)	PUNCT
app01-2340	107	16	is	be	AUX
app01-2340	107	17	d	d	X
app01-2340	107	18	<	<	X
app01-2340	107	19	e	e	X
app01-2340	107	20	>	>	X
app01-2340	107	21	dt	dt	PROPN
app01-2340	107	22	=	=	PUNCT
app01-2340	107	23	βh(z	βh(z	PRON
app01-2340	107	24	)	)	PUNCT
app01-2340	107	25	r(t	r(t	NOUN
app01-2340	107	26	)	)	PUNCT
app01-2340	107	27	×	×	NOUN
app01-2340	107	28	(	(	PUNCT
app01-2340	107	29	14)∫	14)∫	NUM
app01-2340	107	30	x3	x3	ADJ
app01-2340	107	31	hν0n	hν0n	PROPN
app01-2340	107	32	(	(	PUNCT
app01-2340	107	33	ν0	ν0	PROPN
app01-2340	107	34	,	,	PUNCT
app01-2340	107	35	t	t	PROPN
app01-2340	107	36	)	)	PUNCT
app01-2340	107	37	(	(	PUNCT
app01-2340	107	38	n	n	X
app01-2340	107	39	(	(	PUNCT
app01-2340	107	40	ν0	ν0	PROPN
app01-2340	107	41	,	,	PUNCT
app01-2340	107	42	t	t	PROPN
app01-2340	107	43	)	)	PUNCT
app01-2340	108	1	+	+	CCONJ
app01-2340	108	2	1	1	X
app01-2340	108	3	)	)	PUNCT
app01-2340	108	4	dx	dx	PROPN
app01-2340	108	5	.	.	PUNCT
app01-2340	109	1	the	the	DET
app01-2340	109	2	total	total	ADJ
app01-2340	109	3	rate	rate	NOUN
app01-2340	109	4	of	of	ADP
app01-2340	109	5	energy	energy	NOUN
app01-2340	109	6	creation	creation	NOUN
app01-2340	109	7	is	be	AUX
app01-2340	109	8	d	d	X
app01-2340	109	9	<	<	X
app01-2340	109	10	et	et	X
app01-2340	109	11	>	>	X
app01-2340	109	12	dt	dt	PROPN
app01-2340	110	1	=	=	SYM
app01-2340	110	2	ngw,0r(t)3	ngw,0r(t)3	PROPN
app01-2340	110	3	kbh	kbh	PROPN
app01-2340	110	4	ch(z)β	ch(z)β	ADP
app01-2340	110	5	a	a	PRON
app01-2340	110	6	,	,	PUNCT
app01-2340	110	7	(	(	PUNCT
app01-2340	110	8	15	15	NUM
app01-2340	110	9	)	)	PUNCT
app01-2340	110	10	where	where	SCONJ
app01-2340	110	11	a	a	DET
app01-2340	110	12	=	=	X
app01-2340	110	13	∫	∫	PROPN
app01-2340	110	14	x4n	x4n	PROPN
app01-2340	110	15	(	(	PUNCT
app01-2340	110	16	x	x	X
app01-2340	110	17	,	,	PUNCT
app01-2340	110	18	t	t	PROPN
app01-2340	110	19	)	)	PUNCT
app01-2340	110	20	(	(	PUNCT
app01-2340	110	21	n	n	X
app01-2340	110	22	(	(	PUNCT
app01-2340	110	23	x	x	NOUN
app01-2340	110	24	,	,	PUNCT
app01-2340	110	25	t	t	PROPN
app01-2340	110	26	)	)	PUNCT
app01-2340	110	27	+	+	CCONJ
app01-2340	110	28	1	1	X
app01-2340	110	29	)	)	PUNCT
app01-2340	110	30	dx	dx	PROPN
app01-2340	110	31	(	(	PUNCT
app01-2340	110	32	16	16	NUM
app01-2340	110	33	)	)	PUNCT
app01-2340	110	34	inserting	insert	VERB
app01-2340	110	35	all	all	DET
app01-2340	110	36	these	these	DET
app01-2340	110	37	constants	constant	NOUN
app01-2340	110	38	into	into	ADP
app01-2340	110	39	the	the	DET
app01-2340	110	40	integral	integral	NOUN
app01-2340	110	41	for	for	ADP
app01-2340	110	42	y	y	PROPN
app01-2340	110	43	demonstrates	demonstrate	VERB
app01-2340	110	44	that	that	SCONJ
app01-2340	110	45	y	y	PROPN
app01-2340	110	46	approaches	approach	VERB
app01-2340	110	47	a	a	DET
app01-2340	110	48	constant	constant	ADJ
app01-2340	110	49	for	for	ADP
app01-2340	110	50	the	the	DET
app01-2340	110	51	redshift	redshift	NOUN
app01-2340	110	52	z	z	NOUN
app01-2340	110	53	?	?	PUNCT
app01-2340	110	54	being	be	AUX
app01-2340	110	55	large	large	ADJ
app01-2340	110	56	,	,	PUNCT
app01-2340	110	57	and	and	CCONJ
app01-2340	110	58	integrating	integrate	VERB
app01-2340	110	59	down	down	ADP
app01-2340	110	60	to	to	ADP
app01-2340	110	61	today	today	NOUN
app01-2340	110	62	or	or	CCONJ
app01-2340	110	63	even	even	ADV
app01-2340	110	64	into	into	ADP
app01-2340	110	65	the	the	DET
app01-2340	110	66	future	future	NOUN
app01-2340	110	67	,	,	PUNCT
app01-2340	110	68	when	when	SCONJ
app01-2340	110	69	y	y	PROPN
app01-2340	110	70	approaches	approach	VERB
app01-2340	110	71	a	a	DET
app01-2340	110	72	constant	constant	NOUN
app01-2340	110	73	of	of	ADP
app01-2340	110	74	β	β	X
app01-2340	110	75	<	<	X
app01-2340	110	76	<	<	X
app01-2340	110	77	1	1	NUM
app01-2340	110	78	.	.	PUNCT
app01-2340	111	1	a	a	PRON
app01-2340	111	2	is	be	AUX
app01-2340	111	3	equivalent	equivalent	ADJ
app01-2340	111	4	to	to	ADP
app01-2340	111	5	an	an	DET
app01-2340	111	6	inverse	inverse	ADJ
app01-2340	111	7	temperature	temperature	NOUN
app01-2340	111	8	,	,	PUNCT
app01-2340	111	9	and	and	CCONJ
app01-2340	111	10	should	should	AUX
app01-2340	111	11	be	be	AUX
app01-2340	111	12	of	of	ADP
app01-2340	111	13	order	order	NOUN
app01-2340	111	14	unity	unity	NOUN
app01-2340	111	15	.	.	PUNCT
app01-2340	112	1	without	without	ADP
app01-2340	112	2	loss	loss	NOUN
app01-2340	112	3	of	of	ADP
app01-2340	112	4	generality	generality	NOUN
app01-2340	112	5	we	we	PRON
app01-2340	112	6	can	can	AUX
app01-2340	112	7	set	set	VERB
app01-2340	112	8	b	b	NOUN
app01-2340	112	9	=	=	SYM
app01-2340	112	10	0	0	PROPN
app01-2340	112	11	.	.	PUNCT
app01-2340	113	1	this	this	DET
app01-2340	113	2	integral	integral	ADJ
app01-2340	113	3	strongly	strongly	ADV
app01-2340	113	4	depends	depend	VERB
app01-2340	113	5	on	on	ADP
app01-2340	113	6	the	the	DET
app01-2340	113	7	exact	exact	ADJ
app01-2340	113	8	value	value	NOUN
app01-2340	113	9	of	of	ADP
app01-2340	113	10	a	a	DET
app01-2340	113	11	−	−	PROPN
app01-2340	113	12	y	y	PROPN
app01-2340	113	13	,	,	PUNCT
app01-2340	113	14	and	and	CCONJ
app01-2340	113	15	is	be	AUX
app01-2340	113	16	of	of	ADP
app01-2340	113	17	order	order	NOUN
app01-2340	113	18	30	30	NUM
app01-2340	113	19	for	for	ADP
app01-2340	113	20	a	a	DET
app01-2340	113	21	−	−	PROPN
app01-2340	113	22	y	y	PROPN
app01-2340	113	23	'	'	PUNCT
app01-2340	113	24	1	1	NUM
app01-2340	113	25	,	,	PUNCT
app01-2340	113	26	and	and	CCONJ
app01-2340	113	27	b	b	X
app01-2340	113	28	approaching	approach	VERB
app01-2340	113	29	zero	zero	NUM
app01-2340	113	30	.	.	PUNCT
app01-2340	114	1	the	the	DET
app01-2340	114	2	matrix	matrix	NOUN
app01-2340	114	3	element	element	NOUN
app01-2340	114	4	|m	|m	NOUN
app01-2340	114	5	|	|	ADV
app01-2340	114	6	does	do	AUX
app01-2340	114	7	not	not	PART
app01-2340	114	8	evolve	evolve	VERB
app01-2340	114	9	with	with	ADP
app01-2340	114	10	time	time	NOUN
app01-2340	114	11	,	,	PUNCT
app01-2340	114	12	and	and	CCONJ
app01-2340	114	13	scales	scale	VERB
app01-2340	114	14	as	as	ADP
app01-2340	114	15	momentum	momentum	NOUN
app01-2340	114	16	|m	|m	NOUN
app01-2340	114	17	|	|	ADV
app01-2340	114	18	=	=	SYM
app01-2340	114	19	εm	εm	PROPN
app01-2340	114	20	(	(	PUNCT
app01-2340	114	21	k	k	PROPN
app01-2340	114	22	mplc	mplc	PROPN
app01-2340	114	23	)	)	PUNCT
app01-2340	114	24	.	.	PUNCT
app01-2340	115	1	(	(	PUNCT
app01-2340	115	2	17	17	NUM
app01-2340	115	3	)	)	PUNCT
app01-2340	115	4	above	above	ADP
app01-2340	115	5	we	we	PRON
app01-2340	115	6	have	have	AUX
app01-2340	115	7	used	use	VERB
app01-2340	115	8	εm	εm	NOUN
app01-2340	115	9	=	=	SYM
app01-2340	115	10	1	1	NUM
app01-2340	115	11	;	;	PUNCT
app01-2340	115	12	we	we	PRON
app01-2340	115	13	now	now	ADV
app01-2340	115	14	generalize	generalize	VERB
app01-2340	115	15	and	and	CCONJ
app01-2340	115	16	allow	allow	VERB
app01-2340	115	17	εm	εm	NOUN
app01-2340	115	18	to	to	PART
app01-2340	115	19	be	be	AUX
app01-2340	115	20	different	different	ADJ
app01-2340	115	21	from	from	ADP
app01-2340	115	22	unity	unity	NOUN
app01-2340	115	23	.	.	PUNCT
app01-2340	116	1	writing	write	VERB
app01-2340	116	2	|m	|m	NOUN
app01-2340	116	3	|	|	ADV
app01-2340	116	4	in	in	ADP
app01-2340	116	5	this	this	DET
app01-2340	116	6	way	way	NOUN
app01-2340	116	7	suggests	suggest	VERB
app01-2340	116	8	that	that	SCONJ
app01-2340	116	9	the	the	DET
app01-2340	116	10	interaction	interaction	NOUN
app01-2340	116	11	between	between	ADP
app01-2340	116	12	the	the	DET
app01-2340	116	13	gravitons	graviton	NOUN
app01-2340	116	14	on	on	ADP
app01-2340	116	15	our	our	PRON
app01-2340	116	16	brane	brane	NOUN
app01-2340	116	17	and	and	CCONJ
app01-2340	116	18	the	the	DET
app01-2340	116	19	gravitons	graviton	NOUN
app01-2340	116	20	on	on	ADP
app01-2340	116	21	the	the	DET
app01-2340	116	22	background	background	NOUN
app01-2340	116	23	brane	brane	NOUN
app01-2340	116	24	comes	come	VERB
app01-2340	116	25	down	down	ADP
app01-2340	116	26	to	to	ADP
app01-2340	116	27	a	a	DET
app01-2340	116	28	fundamental	fundamental	ADJ
app01-2340	116	29	coupling	coupling	NOUN
app01-2340	116	30	constant	constant	ADJ
app01-2340	116	31	.	.	PUNCT
app01-2340	117	1	this	this	DET
app01-2340	117	2	behavior	behavior	NOUN
app01-2340	117	3	is	be	AUX
app01-2340	117	4	consistent	consistent	ADJ
app01-2340	117	5	with	with	ADP
app01-2340	117	6	the	the	DET
app01-2340	117	7	idea	idea	NOUN
app01-2340	118	1	[	[	X
app01-2340	118	2	22	22	NUM
app01-2340	118	3	]	]	PUNCT
app01-2340	118	4	,	,	PUNCT
app01-2340	118	5	that	that	SCONJ
app01-2340	118	6	the	the	DET
app01-2340	118	7	gravitational	gravitational	ADJ
app01-2340	118	8	coupling	coupling	NOUN
app01-2340	118	9	strongly	strongly	ADV
app01-2340	118	10	increases	increase	VERB
app01-2340	118	11	with	with	ADP
app01-2340	118	12	energy	energy	NOUN
app01-2340	118	13	to	to	PART
app01-2340	118	14	approach	approach	VERB
app01-2340	118	15	the	the	DET
app01-2340	118	16	other	other	ADJ
app01-2340	118	17	three	three	NUM
app01-2340	118	18	coupling	couple	VERB
app01-2340	118	19	constants	constant	NOUN
app01-2340	118	20	at	at	ADP
app01-2340	118	21	near	near	ADP
app01-2340	118	22	planck	planck	NOUN
app01-2340	118	23	energies	energy	NOUN
app01-2340	118	24	.	.	PUNCT
app01-2340	119	1	this	this	PRON
app01-2340	119	2	allows	allow	VERB
app01-2340	119	3	the	the	DET
app01-2340	119	4	expression	expression	NOUN
app01-2340	119	5	for	for	ADP
app01-2340	119	6	d	d	PROPN
app01-2340	119	7	<	<	X
app01-2340	119	8	et	et	X
app01-2340	119	9	>	>	X
app01-2340	119	10	dt	dt	X
app01-2340	119	11	to	to	PART
app01-2340	119	12	be	be	AUX
app01-2340	119	13	consistent	consistent	ADJ
app01-2340	119	14	with	with	ADP
app01-2340	119	15	the	the	DET
app01-2340	119	16	observed	observe	VERB
app01-2340	119	17	energy	energy	NOUN
app01-2340	119	18	density	density	NOUN
app01-2340	119	19	under	under	ADP
app01-2340	119	20	the	the	DET
app01-2340	119	21	condition	condition	NOUN
app01-2340	119	22	that	that	SCONJ
app01-2340	120	1	aβ	aβ	VERB
app01-2340	120	2	εm	εm	NOUN
app01-2340	120	3	=	=	SYM
app01-2340	120	4	3	3	X
app01-2340	120	5	.	.	X
app01-2340	120	6	for	for	ADP
app01-2340	120	7	the	the	DET
app01-2340	120	8	constant	constant	ADJ
app01-2340	120	9	a	a	DET
app01-2340	120	10	=	=	SYM
app01-2340	120	11	1	1	NUM
app01-2340	120	12	above	above	ADV
app01-2340	120	13	,	,	PUNCT
app01-2340	120	14	β	β	X
app01-2340	120	15	of	of	ADP
app01-2340	120	16	order	order	NOUN
app01-2340	120	17	0.1	0.1	NUM
app01-2340	120	18	,	,	PUNCT
app01-2340	120	19	and	and	CCONJ
app01-2340	120	20	εm	εm	NOUN
app01-2340	120	21	=	=	SYM
app01-2340	120	22	1	1	NUM
app01-2340	120	23	,	,	PUNCT
app01-2340	120	24	the	the	DET
app01-2340	120	25	quantity	quantity	NOUN
app01-2340	120	26	{	{	PUNCT
app01-2340	120	27	aβ	aβ	PRON
app01-2340	120	28	εm	εm	PROPN
app01-2340	120	29	}	}	PUNCT
app01-2340	120	30	is	be	AUX
app01-2340	120	31	in	in	ADP
app01-2340	120	32	fact	fact	NOUN
app01-2340	120	33	close	close	ADV
app01-2340	120	34	to	to	ADP
app01-2340	120	35	3	3	NUM
app01-2340	120	36	.	.	PUNCT
app01-2340	121	1	however	however	ADV
app01-2340	121	2	,	,	PUNCT
app01-2340	121	3	if	if	SCONJ
app01-2340	121	4	we	we	PRON
app01-2340	121	5	were	be	AUX
app01-2340	121	6	to	to	PART
app01-2340	121	7	require	require	VERB
app01-2340	121	8	that	that	SCONJ
app01-2340	121	9	the	the	DET
app01-2340	121	10	k	k	NOUN
app01-2340	121	11	-	-	PUNCT
app01-2340	121	12	range	range	NOUN
app01-2340	121	13	be	be	VERB
app01-2340	121	14	very	very	ADV
app01-2340	121	15	large	large	ADJ
app01-2340	121	16	,	,	PUNCT
app01-2340	121	17	then	then	ADV
app01-2340	121	18	β	β	NOUN
app01-2340	121	19	would	would	AUX
app01-2340	121	20	be	be	AUX
app01-2340	121	21	larger	large	ADJ
app01-2340	121	22	,	,	PUNCT
app01-2340	121	23	and	and	CCONJ
app01-2340	121	24	εm	εm	NOUN
app01-2340	121	25	would	would	AUX
app01-2340	121	26	be	be	AUX
app01-2340	121	27	required	require	VERB
app01-2340	121	28	to	to	PART
app01-2340	121	29	be	be	AUX
app01-2340	121	30	smaller	small	ADJ
app01-2340	121	31	than	than	ADP
app01-2340	121	32	unity	unity	NOUN
app01-2340	121	33	accordingly	accordingly	ADV
app01-2340	121	34	.	.	PUNCT
app01-2340	122	1	inserting	insert	VERB
app01-2340	122	2	this	this	DET
app01-2340	122	3	parameter	parameter	NOUN
app01-2340	122	4	dependence	dependence	NOUN
app01-2340	122	5	into	into	ADP
app01-2340	122	6	eq.(15	eq.(15	NOUN
app01-2340	122	7	)	)	PUNCT
app01-2340	122	8	then	then	ADV
app01-2340	122	9	leads	lead	VERB
app01-2340	122	10	back	back	ADV
app01-2340	122	11	,	,	PUNCT
app01-2340	122	12	to	to	ADP
app01-2340	122	13	within	within	ADP
app01-2340	122	14	the	the	DET
app01-2340	122	15	approximation	approximation	NOUN
app01-2340	122	16	that	that	SCONJ
app01-2340	122	17	aβ	aβ	VERB
app01-2340	122	18	εm	εm	NOUN
app01-2340	122	19	=	=	SYM
app01-2340	122	20	3	3	NUM
app01-2340	122	21	,	,	PUNCT
app01-2340	122	22	to	to	ADP
app01-2340	122	23	the	the	DET
app01-2340	122	24	result	result	NOUN
app01-2340	122	25	we	we	PRON
app01-2340	122	26	were	be	AUX
app01-2340	122	27	seeking	seek	VERB
app01-2340	122	28	,	,	PUNCT
app01-2340	122	29	3	3	NUM
app01-2340	122	30	2	2	NUM
app01-2340	122	31	mbh	mbh	PROPN
app01-2340	122	32	c	c	PROPN
app01-2340	122	33	2h(z	2h(z	PROPN
app01-2340	122	34	)	)	PUNCT
app01-2340	122	35	(	(	PUNCT
app01-2340	122	36	1	1	NUM
app01-2340	123	1	+	+	CCONJ
app01-2340	123	2	z	z	NOUN
app01-2340	123	3	?	?	NOUN
app01-2340	123	4	1	1	NUM
app01-2340	123	5	+	+	NUM
app01-2340	123	6	z	z	NOUN
app01-2340	123	7	)	)	PUNCT
app01-2340	123	8	3	3	NUM
app01-2340	123	9	.	.	PUNCT
app01-2340	124	1	(	(	PUNCT
app01-2340	124	2	18	18	NUM
app01-2340	124	3	)	)	PUNCT
app01-2340	124	4	after	after	ADP
app01-2340	124	5	integrating	integrate	VERB
app01-2340	124	6	we	we	PRON
app01-2340	124	7	obtain	obtain	VERB
app01-2340	124	8	with	with	ADP
app01-2340	124	9	this	this	DET
app01-2340	124	10	redshift	redshift	NOUN
app01-2340	124	11	dependence	dependence	NOUN
app01-2340	124	12	a	a	DET
app01-2340	124	13	constant	constant	ADJ
app01-2340	124	14	dark	dark	ADJ
app01-2340	124	15	energy	energy	NOUN
app01-2340	124	16	density	density	NOUN
app01-2340	124	17	as	as	ADP
app01-2340	124	18	in	in	ADP
app01-2340	124	19	eq	eq	ADP
app01-2340	124	20	.	.	PUNCT
app01-2340	125	1	(	(	PUNCT
app01-2340	125	2	1	1	NUM
app01-2340	125	3	)	)	PUNCT
app01-2340	125	4	by	by	ADP
app01-2340	125	5	multiplying	multiply	VERB
app01-2340	125	6	by	by	ADP
app01-2340	125	7	the	the	DET
app01-2340	125	8	redshift	redshift	NOUN
app01-2340	125	9	evolution	evolution	NOUN
app01-2340	125	10	of	of	ADP
app01-2340	125	11	black	black	ADJ
app01-2340	125	12	holes	hole	NOUN
app01-2340	125	13	nbh,0	nbh,0	NOUN
app01-2340	125	14	(	(	PUNCT
app01-2340	125	15	1	1	NUM
app01-2340	125	16	+	+	NUM
app01-2340	125	17	z)3	z)3	NOUN
app01-2340	125	18	.	.	PUNCT
app01-2340	126	1	the	the	DET
app01-2340	126	2	factor	factor	NOUN
app01-2340	126	3	of	of	ADP
app01-2340	126	4	4	4	NUM
app01-2340	126	5	multiplying	multiply	VERB
app01-2340	126	6	ρde	ρde	NOUN
app01-2340	126	7	in	in	ADP
app01-2340	126	8	eq.22	eq.22	NOUN
app01-2340	126	9	below	below	ADP
app01-2340	126	10	derives	derive	NOUN
app01-2340	126	11	from	from	ADP
app01-2340	126	12	the	the	DET
app01-2340	126	13	sum	sum	NOUN
app01-2340	126	14	of	of	ADP
app01-2340	126	15	dark	dark	ADJ
app01-2340	126	16	energy	energy	NOUN
app01-2340	126	17	density	density	NOUN
app01-2340	126	18	and	and	CCONJ
app01-2340	126	19	pressure	pressure	NOUN
app01-2340	126	20	,	,	PUNCT
app01-2340	126	21	and	and	CCONJ
app01-2340	126	22	corresponds	correspond	VERB
app01-2340	126	23	to	to	ADP
app01-2340	126	24	3	3	NUM
app01-2340	126	25	(	(	PUNCT
app01-2340	126	26	ρde+pde	ρde+pde	VERB
app01-2340	126	27	/	/	SYM
app01-2340	126	28	c	c	NOUN
app01-2340	126	29	2	2	NUM
app01-2340	126	30	)	)	PUNCT
app01-2340	126	31	.	.	PUNCT
app01-2340	127	1	therefore	therefore	ADV
app01-2340	127	2	the	the	DET
app01-2340	127	3	rate	rate	NOUN
app01-2340	127	4	of	of	ADP
app01-2340	127	5	change	change	NOUN
app01-2340	127	6	of	of	ADP
app01-2340	127	7	dark	dark	ADJ
app01-2340	127	8	energy	energy	NOUN
app01-2340	127	9	with	with	ADP
app01-2340	127	10	time	time	NOUN
app01-2340	127	11	is	be	AUX
app01-2340	127	12	3	3	NUM
app01-2340	127	13	(	(	PUNCT
app01-2340	127	14	ρde	ρde	NOUN
app01-2340	127	15	+	+	CCONJ
app01-2340	127	16	pde	pde	NOUN
app01-2340	127	17	/	/	SYM
app01-2340	127	18	c	c	NOUN
app01-2340	127	19	2)h(t	2)h(t	NUM
app01-2340	127	20	)	)	PUNCT
app01-2340	127	21	and	and	CCONJ
app01-2340	127	22	today	today	NOUN
app01-2340	127	23	3ρdeh(z	3ρdeh(z	NUM
app01-2340	127	24	=	=	SYM
app01-2340	127	25	0	0	NUM
app01-2340	127	26	)	)	PUNCT
app01-2340	127	27	=	=	SYM
app01-2340	127	28	3	3	NUM
app01-2340	127	29	2	2	NUM
app01-2340	127	30	mbh	mbh	PROPN
app01-2340	127	31	c	c	PROPN
app01-2340	127	32	2h(z	2h(z	PROPN
app01-2340	127	33	=	=	SYM
app01-2340	127	34	0	0	NUM
app01-2340	127	35	)	)	PUNCT
app01-2340	127	36	(	(	PUNCT
app01-2340	127	37	1	1	NUM
app01-2340	127	38	+	+	CCONJ
app01-2340	127	39	z	z	NOUN
app01-2340	127	40	?	?	PUNCT
app01-2340	127	41	)	)	PUNCT
app01-2340	127	42	3	3	X
app01-2340	127	43	.	.	PUNCT
app01-2340	128	1	(	(	PUNCT
app01-2340	128	2	19	19	NUM
app01-2340	128	3	)	)	PUNCT
app01-2340	128	4	this	this	PRON
app01-2340	128	5	justifies	justify	VERB
app01-2340	128	6	the	the	DET
app01-2340	128	7	ρde	ρde	NOUN
app01-2340	128	8	h(t	h(t	NOUN
app01-2340	128	9	)	)	PUNCT
app01-2340	128	10	term	term	NOUN
app01-2340	128	11	in	in	ADP
app01-2340	128	12	eqs.22	eqs.22	NOUN
app01-2340	128	13	and	and	CCONJ
app01-2340	128	14	25	25	NUM
app01-2340	128	15	.	.	PUNCT
app01-2340	129	1	this	this	PRON
app01-2340	129	2	shows	show	VERB
app01-2340	129	3	that	that	SCONJ
app01-2340	129	4	dark	dark	ADJ
app01-2340	129	5	energy	energy	NOUN
app01-2340	129	6	remains	remain	VERB
app01-2340	129	7	at	at	ADP
app01-2340	129	8	the	the	DET
app01-2340	129	9	level	level	NOUN
app01-2340	129	10	of	of	ADP
app01-2340	129	11	eq.(1	eq.(1	ADJ
app01-2340	129	12	)	)	PUNCT
app01-2340	129	13	throughout	throughout	ADP
app01-2340	129	14	the	the	DET
app01-2340	129	15	evolution	evolution	NOUN
app01-2340	129	16	of	of	ADP
app01-2340	129	17	the	the	DET
app01-2340	129	18	universe	universe	NOUN
app01-2340	129	19	,	,	PUNCT
app01-2340	129	20	in	in	ADP
app01-2340	129	21	the	the	DET
app01-2340	129	22	approximation	approximation	NOUN
app01-2340	129	23	that	that	SCONJ
app01-2340	129	24	most	most	ADV
app01-2340	129	25	early	early	ADJ
app01-2340	129	26	super	super	ADJ
app01-2340	129	27	-	-	ADJ
app01-2340	129	28	massive	massive	ADJ
app01-2340	129	29	black	black	ADJ
app01-2340	129	30	holes	hole	NOUN
app01-2340	129	31	were	be	AUX
app01-2340	129	32	formed	form	VERB
app01-2340	129	33	over	over	ADP
app01-2340	129	34	a	a	DET
app01-2340	129	35	short	short	ADJ
app01-2340	129	36	span	span	NOUN
app01-2340	129	37	of	of	ADP
app01-2340	129	38	time	time	NOUN
app01-2340	129	39	.	.	PUNCT
app01-2340	130	1	2.2	2.2	NUM
app01-2340	130	2	equation	equation	NOUN
app01-2340	130	3	of	of	ADP
app01-2340	130	4	state	state	NOUN
app01-2340	130	5	we	we	PRON
app01-2340	130	6	define	define	VERB
app01-2340	130	7	ρde(t	ρde(t	PROPN
app01-2340	130	8	,	,	PUNCT
app01-2340	130	9	u	u	NOUN
app01-2340	130	10	)	)	PUNCT
app01-2340	130	11	as	as	ADP
app01-2340	130	12	the	the	DET
app01-2340	130	13	dark	dark	ADJ
app01-2340	130	14	energy	energy	NOUN
app01-2340	130	15	density	density	NOUN
app01-2340	130	16	,	,	PUNCT
app01-2340	130	17	ρ(t	ρ(t	NUM
app01-2340	130	18	,	,	PUNCT
app01-2340	130	19	u	u	NOUN
app01-2340	130	20	)	)	PUNCT
app01-2340	130	21	as	as	ADP
app01-2340	130	22	the	the	DET
app01-2340	130	23	total	total	ADJ
app01-2340	130	24	energy	energy	NOUN
app01-2340	130	25	density	density	NOUN
app01-2340	130	26	,	,	PUNCT
app01-2340	130	27	p	p	X
app01-2340	130	28	(	(	PUNCT
app01-2340	130	29	t	t	PROPN
app01-2340	130	30	,	,	PUNCT
app01-2340	130	31	u	u	NOUN
app01-2340	130	32	)	)	PUNCT
app01-2340	130	33	as	as	ADP
app01-2340	130	34	the	the	DET
app01-2340	130	35	total	total	ADJ
app01-2340	130	36	pressure	pressure	NOUN
app01-2340	130	37	,	,	PUNCT
app01-2340	130	38	and	and	CCONJ
app01-2340	130	39	we	we	PRON
app01-2340	130	40	use	use	VERB
app01-2340	130	41	the	the	DET
app01-2340	130	42	equation	equation	NOUN
app01-2340	130	43	of	of	ADP
app01-2340	130	44	state	state	NOUN
app01-2340	130	45	pde(t	pde(t	PROPN
app01-2340	130	46	,	,	PUNCT
app01-2340	130	47	u	u	NOUN
app01-2340	130	48	)	)	PUNCT
app01-2340	130	49	=	=	SYM
app01-2340	130	50	ρde(t	ρde(t	PROPN
app01-2340	130	51	,	,	PUNCT
app01-2340	130	52	u	u	NOUN
app01-2340	130	53	)	)	PUNCT
app01-2340	130	54	c2/3	c2/3	NOUN
app01-2340	130	55	.	.	PUNCT
app01-2340	131	1	the	the	DET
app01-2340	131	2	dark	dark	ADJ
app01-2340	131	3	energy	energy	NOUN
app01-2340	131	4	density	density	NOUN
app01-2340	131	5	ρ(t	ρ(t	PROPN
app01-2340	131	6	,	,	PUNCT
app01-2340	131	7	u	u	NOUN
app01-2340	131	8	)	)	PUNCT
app01-2340	131	9	is	be	AUX
app01-2340	131	10	scaled	scale	VERB
app01-2340	131	11	to	to	ADP
app01-2340	131	12	the	the	DET
app01-2340	131	13	value	value	NOUN
app01-2340	131	14	of	of	ADP
app01-2340	131	15	the	the	DET
app01-2340	131	16	dark	dark	ADJ
app01-2340	131	17	energy	energy	NOUN
app01-2340	131	18	density	density	NOUN
app01-2340	131	19	observed	observe	VERB
app01-2340	131	20	on	on	ADP
app01-2340	131	21	our	our	PRON
app01-2340	131	22	brane	brane	NOUN
app01-2340	131	23	today	today	NOUN
app01-2340	131	24	(	(	PUNCT
app01-2340	131	25	redshift	redshift	NOUN
app01-2340	131	26	z	z	NOUN
app01-2340	131	27	=	=	NOUN
app01-2340	131	28	0	0	NUM
app01-2340	131	29	)	)	PUNCT
app01-2340	131	30	.	.	PUNCT
app01-2340	132	1	the	the	DET
app01-2340	132	2	friedmann	friedmann	PROPN
app01-2340	132	3	-	-	PUNCT
app01-2340	132	4	robertson	robertson	PROPN
app01-2340	132	5	-	-	PUNCT
app01-2340	132	6	walker	walker	PROPN
app01-2340	132	7	form	form	NOUN
app01-2340	132	8	of	of	ADP
app01-2340	132	9	the	the	DET
app01-2340	132	10	einstein	einstein	ADJ
app01-2340	132	11	equations	equation	NOUN
app01-2340	132	12	on	on	ADP
app01-2340	132	13	the	the	DET
app01-2340	132	14	weak	weak	ADJ
app01-2340	132	15	-	-	PUNCT
app01-2340	132	16	gravity	gravity	NOUN
app01-2340	132	17	brane	brane	NOUN
app01-2340	132	18	must	must	AUX
app01-2340	132	19	be	be	AUX
app01-2340	132	20	(	(	PUNCT
app01-2340	132	21	h(t	h(t	PROPN
app01-2340	132	22	)	)	PUNCT
app01-2340	132	23	)	)	PUNCT
app01-2340	132	24	2	2	NUM
app01-2340	132	25	=	=	SYM
app01-2340	132	26	(	(	PUNCT
app01-2340	132	27	˙r(t	˙r(t	NOUN
app01-2340	132	28	)	)	PUNCT
app01-2340	132	29	r(t	r(t	NOUN
app01-2340	132	30	)	)	PUNCT
app01-2340	132	31	)	)	PUNCT
app01-2340	133	1	2	2	NUM
app01-2340	133	2	=	=	SYM
app01-2340	133	3	8πgn	8πgn	NUM
app01-2340	133	4	3	3	NUM
app01-2340	133	5	ρ(t	ρ(t	NUM
app01-2340	133	6	,	,	PUNCT
app01-2340	133	7	0	0	NUM
app01-2340	133	8	)	)	PUNCT
app01-2340	133	9	(	(	PUNCT
app01-2340	133	10	20	20	NUM
app01-2340	133	11	)	)	PUNCT
app01-2340	133	12	and	and	CCONJ
app01-2340	133	13	r̈(t	r̈(t	NOUN
app01-2340	133	14	)	)	PUNCT
app01-2340	133	15	r(t	r(t	NOUN
app01-2340	133	16	)	)	PUNCT
app01-2340	134	1	=	=	SYM
app01-2340	134	2	−4πgn	−4πgn	NOUN
app01-2340	134	3	3	3	NUM
app01-2340	134	4	(	(	PUNCT
app01-2340	134	5	ρ(t	ρ(t	PROPN
app01-2340	134	6	,	,	PUNCT
app01-2340	134	7	0	0	NUM
app01-2340	134	8	)	)	PUNCT
app01-2340	135	1	+	+	CCONJ
app01-2340	135	2	3	3	NUM
app01-2340	135	3	p	p	NOUN
app01-2340	135	4	(	(	PUNCT
app01-2340	135	5	t	t	PROPN
app01-2340	135	6	,	,	PUNCT
app01-2340	135	7	0	0	NUM
app01-2340	135	8	)	)	PUNCT
app01-2340	135	9	c2	c2	PROPN
app01-2340	135	10	)	)	PUNCT
app01-2340	136	1	+	+	PUNCT
app01-2340	136	2	16πgn	16πgn	NUM
app01-2340	136	3	3	3	NUM
app01-2340	136	4	ρde(t	ρde(t	PROPN
app01-2340	136	5	,	,	PUNCT
app01-2340	136	6	0	0	NUM
app01-2340	136	7	)	)	PUNCT
app01-2340	136	8	+	+	NOUN
app01-2340	136	9	4πgn	4πgn	NUM
app01-2340	136	10	sinj	sinj	NOUN
app01-2340	136	11	3h(t	3h(t	NUM
app01-2340	136	12	)	)	PUNCT
app01-2340	136	13	,	,	PUNCT
app01-2340	136	14	(	(	PUNCT
app01-2340	136	15	21	21	NUM
app01-2340	136	16	)	)	PUNCT
app01-2340	136	17	where	where	SCONJ
app01-2340	136	18	the	the	DET
app01-2340	136	19	rate	rate	NOUN
app01-2340	136	20	of	of	ADP
app01-2340	136	21	change	change	NOUN
app01-2340	136	22	of	of	ADP
app01-2340	136	23	the	the	DET
app01-2340	136	24	energy	energy	NOUN
app01-2340	136	25	density	density	NOUN
app01-2340	136	26	used	use	VERB
app01-2340	136	27	is	be	AUX
app01-2340	136	28	ρ(t	ρ(t	ADJ
app01-2340	136	29	,	,	PUNCT
app01-2340	136	30	0	0	NUM
app01-2340	136	31	)	)	PUNCT
app01-2340	136	32	=	=	SYM
app01-2340	137	1	−	−	PROPN
app01-2340	137	2	3	3	NUM
app01-2340	137	3	(	(	PUNCT
app01-2340	137	4	ρ(t	ρ(t	PROPN
app01-2340	137	5	,	,	PUNCT
app01-2340	137	6	0	0	NUM
app01-2340	137	7	)	)	PUNCT
app01-2340	138	1	+	+	CCONJ
app01-2340	138	2	p	p	X
app01-2340	138	3	(	(	PUNCT
app01-2340	138	4	t	t	PROPN
app01-2340	138	5	,	,	PUNCT
app01-2340	138	6	0	0	NUM
app01-2340	138	7	)	)	PUNCT
app01-2340	138	8	c2	c2	PROPN
app01-2340	138	9	)	)	PUNCT
app01-2340	138	10	h(t	h(t	PROPN
app01-2340	138	11	)	)	PUNCT
app01-2340	139	1	+	+	CCONJ
app01-2340	139	2	4	4	NUM
app01-2340	139	3	ρde(t	ρde(t	PROPN
app01-2340	139	4	,	,	PUNCT
app01-2340	139	5	0)h(t	0)h(t	NUM
app01-2340	139	6	)	)	PUNCT
app01-2340	140	1	+	+	NUM
app01-2340	140	2	sinj	sinj	NOUN
app01-2340	140	3	.	.	PUNCT
app01-2340	141	1	(	(	PUNCT
app01-2340	141	2	22	22	NUM
app01-2340	141	3	)	)	PUNCT
app01-2340	141	4	we	we	PRON
app01-2340	141	5	emphasize	emphasize	VERB
app01-2340	141	6	that	that	SCONJ
app01-2340	141	7	in	in	ADP
app01-2340	141	8	the	the	DET
app01-2340	141	9	second	second	ADJ
app01-2340	141	10	equation	equation	NOUN
app01-2340	141	11	,	,	PUNCT
app01-2340	141	12	eq.21	eq.21	PROPN
app01-2340	141	13	,	,	PUNCT
app01-2340	141	14	the	the	DET
app01-2340	141	15	term	term	NOUN
app01-2340	141	16	16πgn	16πgn	NUM
app01-2340	142	1	ρde(t	ρde(t	PROPN
app01-2340	142	2	,	,	PUNCT
app01-2340	142	3	0)/3	0)/3	PROPN
app01-2340	142	4	corresponds	correspond	VERB
app01-2340	142	5	to	to	ADP
app01-2340	142	6	the	the	DET
app01-2340	142	7	continuous	continuous	ADJ
app01-2340	142	8	energy	energy	NOUN
app01-2340	142	9	transfer	transfer	NOUN
app01-2340	142	10	by	by	ADP
app01-2340	142	11	stimulated	stimulated	ADJ
app01-2340	142	12	emission	emission	NOUN
app01-2340	142	13	on	on	ADP
app01-2340	142	14	the	the	DET
app01-2340	142	15	basis	basis	NOUN
app01-2340	142	16	of	of	ADP
app01-2340	142	17	existing	exist	VERB
app01-2340	142	18	dark	dark	ADJ
app01-2340	142	19	energy	energy	NOUN
app01-2340	142	20	;	;	PUNCT
app01-2340	142	21	the	the	DET
app01-2340	142	22	additional	additional	ADJ
app01-2340	142	23	term	term	NOUN
app01-2340	142	24	(	(	PUNCT
app01-2340	142	25	4πgn	4πgn	PROPN
app01-2340	142	26	sinj)/(3h(t	sinj)/(3h(t	NUM
app01-2340	142	27	)	)	PUNCT
app01-2340	142	28	)	)	PUNCT
app01-2340	142	29	describes	describe	VERB
app01-2340	142	30	new	new	ADJ
app01-2340	142	31	formation	formation	NOUN
app01-2340	142	32	of	of	ADP
app01-2340	142	33	dark	dark	ADJ
app01-2340	142	34	energy	energy	NOUN
app01-2340	142	35	.	.	PUNCT
app01-2340	143	1	this	this	PRON
app01-2340	143	2	allows	allow	VERB
app01-2340	143	3	a	a	DET
app01-2340	143	4	different	different	ADJ
app01-2340	143	5	equation	equation	NOUN
app01-2340	143	6	of	of	ADP
app01-2340	143	7	state	state	NOUN
app01-2340	143	8	for	for	ADP
app01-2340	143	9	exactly	exactly	ADV
app01-2340	143	10	the	the	DET
app01-2340	143	11	same	same	ADJ
app01-2340	143	12	cosmological	cosmological	ADJ
app01-2340	143	13	observations	observation	NOUN
app01-2340	143	14	,	,	PUNCT
app01-2340	143	15	as	as	ADP
app01-2340	143	16	now	now	ADV
app01-2340	143	17	for	for	ADP
app01-2340	143	18	pde	pde	NOUN
app01-2340	144	1	=	=	SYM
app01-2340	144	2	ρdec	ρdec	PROPN
app01-2340	144	3	2/3	2/3	NUM
app01-2340	145	1	the	the	DET
app01-2340	145	2	modified	modify	VERB
app01-2340	145	3	equation	equation	NOUN
app01-2340	145	4	21	21	NUM
app01-2340	145	5	becomes	become	VERB
app01-2340	145	6	identical	identical	ADJ
app01-2340	145	7	to	to	ADP
app01-2340	145	8	the	the	DET
app01-2340	145	9	canonical	canonical	ADJ
app01-2340	145	10	version	version	NOUN
app01-2340	145	11	of	of	ADP
app01-2340	145	12	this	this	DET
app01-2340	145	13	equation	equation	NOUN
app01-2340	145	14	for	for	ADP
app01-2340	145	15	23	23	NUM
app01-2340	145	16	peter	peter	PROPN
app01-2340	145	17	l.	l.	PROPN
app01-2340	145	18	biermann	biermann	PROPN
app01-2340	145	19	,	,	PUNCT
app01-2340	145	20	benjamin	benjamin	PROPN
app01-2340	145	21	c.	c.	PROPN
app01-2340	145	22	harms	harm	VERB
app01-2340	145	23	pde	pde	NOUN
app01-2340	146	1	=	=	SYM
app01-2340	146	2	−ρdec2	−ρdec2	PROPN
app01-2340	146	3	.	.	PUNCT
app01-2340	147	1	the	the	DET
app01-2340	147	2	corresponding	corresponding	ADJ
app01-2340	147	3	set	set	NOUN
app01-2340	147	4	of	of	ADP
app01-2340	147	5	equations	equation	NOUN
app01-2340	147	6	for	for	ADP
app01-2340	147	7	the	the	DET
app01-2340	147	8	strong	strong	ADJ
app01-2340	147	9	-	-	PUNCT
app01-2340	147	10	brane	brane	NOUN
app01-2340	147	11	are	be	AUX
app01-2340	147	12	hsb(t)2	hsb(t)2	NOUN
app01-2340	147	13	=	=	SYM
app01-2340	147	14	8πgn	8πgn	NUM
app01-2340	147	15	3	3	NUM
app01-2340	147	16	(	(	PUNCT
app01-2340	147	17	ρde(t	ρde(t	PROPN
app01-2340	147	18	,	,	PUNCT
app01-2340	147	19	lsb)−	lsb)−	PROPN
app01-2340	147	20	λsb	λsb	NOUN
app01-2340	147	21	)	)	PUNCT
app01-2340	147	22	(	(	PUNCT
app01-2340	147	23	23	23	NUM
app01-2340	147	24	)	)	PUNCT
app01-2340	147	25	where	where	SCONJ
app01-2340	147	26	λsb	λsb	ADJ
app01-2340	147	27	is	be	AUX
app01-2340	147	28	the	the	DET
app01-2340	147	29	cosmological	cosmological	ADJ
app01-2340	147	30	constant	constant	NOUN
app01-2340	147	31	on	on	ADP
app01-2340	147	32	the	the	DET
app01-2340	147	33	strong	strong	ADJ
app01-2340	147	34	brane	brane	NOUN
app01-2340	147	35	at	at	ADP
app01-2340	147	36	the	the	DET
app01-2340	147	37	beginning	beginning	NOUN
app01-2340	147	38	of	of	ADP
app01-2340	147	39	the	the	DET
app01-2340	147	40	epoch	epoch	NOUN
app01-2340	147	41	of	of	ADP
app01-2340	147	42	black	black	ADJ
app01-2340	147	43	hole	hole	NOUN
app01-2340	147	44	formation	formation	NOUN
app01-2340	147	45	and	and	CCONJ
app01-2340	147	46	r̈sb(t	r̈sb(t	NOUN
app01-2340	147	47	)	)	PUNCT
app01-2340	147	48	rsb(t	rsb(t	PROPN
app01-2340	147	49	)	)	PUNCT
app01-2340	148	1	=	=	SYM
app01-2340	148	2	−16πgn	−16πgn	NOUN
app01-2340	148	3	3	3	NUM
app01-2340	148	4	ρde(t	ρde(t	PROPN
app01-2340	148	5	,	,	PUNCT
app01-2340	148	6	0	0	NUM
app01-2340	148	7	)	)	PUNCT
app01-2340	148	8	h(t	h(t	NUM
app01-2340	148	9	)	)	PUNCT
app01-2340	148	10	hsb(t	hsb(t	NOUN
app01-2340	148	11	)	)	PUNCT
app01-2340	148	12	(	(	PUNCT
app01-2340	148	13	24	24	NUM
app01-2340	148	14	)	)	PUNCT
app01-2340	149	1	+	+	CCONJ
app01-2340	149	2	8πgn	8πgn	NUM
app01-2340	149	3	3	3	NUM
app01-2340	149	4	(	(	PUNCT
app01-2340	149	5	3	3	NUM
app01-2340	149	6	ρde(t	ρde(t	PROPN
app01-2340	149	7	,	,	PUNCT
app01-2340	150	1	lsb)−	lsb)−	PROPN
app01-2340	150	2	λsb)−	λsb)−	PROPN
app01-2340	150	3	4πgn	4πgn	PROPN
app01-2340	150	4	sinj	sinj	NOUN
app01-2340	150	5	3hsb(t	3hsb(t	PROPN
app01-2340	150	6	)	)	PUNCT
app01-2340	151	1	,	,	PUNCT
app01-2340	151	2	the	the	DET
app01-2340	151	3	rate	rate	NOUN
app01-2340	151	4	of	of	ADP
app01-2340	151	5	change	change	NOUN
app01-2340	151	6	of	of	ADP
app01-2340	151	7	the	the	DET
app01-2340	151	8	energy	energy	NOUN
app01-2340	151	9	density	density	NOUN
app01-2340	151	10	on	on	ADP
app01-2340	151	11	the	the	DET
app01-2340	151	12	strongbrane	strongbrane	NOUN
app01-2340	151	13	is	be	AUX
app01-2340	151	14	correspondingly	correspondingly	ADV
app01-2340	151	15	ρ̇de(t	ρ̇de(t	PROPN
app01-2340	151	16	,	,	PUNCT
app01-2340	151	17	lsb	lsb	PROPN
app01-2340	151	18	)	)	PUNCT
app01-2340	151	19	=	=	SYM
app01-2340	151	20	3	3	NUM
app01-2340	151	21	(	(	PUNCT
app01-2340	151	22	ρde(t	ρde(t	PROPN
app01-2340	151	23	,	,	PUNCT
app01-2340	151	24	lsb	lsb	PROPN
app01-2340	151	25	)	)	PUNCT
app01-2340	151	26	+	+	CCONJ
app01-2340	151	27	1	1	NUM
app01-2340	151	28	c2pde(t	c2pde(t	NUM
app01-2340	151	29	,	,	PUNCT
app01-2340	151	30	lsb	lsb	PROPN
app01-2340	151	31	)	)	PUNCT
app01-2340	151	32	)	)	PUNCT
app01-2340	152	1	hsb(t	hsb(t	X
app01-2340	152	2	)	)	PUNCT
app01-2340	152	3	−4	−4	X
app01-2340	153	1	ρde(t	ρde(t	PROPN
app01-2340	153	2	,	,	PUNCT
app01-2340	153	3	0)h(t)−	0)h(t)−	NOUN
app01-2340	153	4	sinj	sinj	NOUN
app01-2340	153	5	.	.	PUNCT
app01-2340	154	1	(	(	PUNCT
app01-2340	154	2	25	25	NUM
app01-2340	154	3	)	)	PUNCT
app01-2340	154	4	eq.24	eq.24	NOUN
app01-2340	154	5	is	be	AUX
app01-2340	154	6	derived	derive	VERB
app01-2340	154	7	from	from	ADP
app01-2340	154	8	eq.23	eq.23	NOUN
app01-2340	154	9	using	use	VERB
app01-2340	154	10	the	the	DET
app01-2340	154	11	conservation	conservation	NOUN
app01-2340	154	12	of	of	ADP
app01-2340	154	13	energy	energy	NOUN
app01-2340	154	14	-	-	PUNCT
app01-2340	154	15	momentum	momentum	NOUN
app01-2340	154	16	equations	equation	NOUN
app01-2340	154	17	;	;	PUNCT
app01-2340	154	18	eqs	eqs	X
app01-2340	154	19	.	.	PROPN
app01-2340	154	20	22	22	NUM
app01-2340	154	21	and	and	CCONJ
app01-2340	154	22	25	25	NUM
app01-2340	154	23	insure	insure	VERB
app01-2340	154	24	that	that	SCONJ
app01-2340	154	25	energy	energy	NOUN
app01-2340	154	26	is	be	AUX
app01-2340	154	27	conserved	conserve	VERB
app01-2340	154	28	between	between	ADP
app01-2340	154	29	the	the	DET
app01-2340	154	30	two	two	NUM
app01-2340	154	31	branes	brane	NOUN
app01-2340	154	32	,	,	PUNCT
app01-2340	154	33	the	the	DET
app01-2340	154	34	4	4	NUM
app01-2340	154	35	-	-	PUNCT
app01-2340	154	36	dimensional	dimensional	ADJ
app01-2340	154	37	boundaries	boundary	NOUN
app01-2340	154	38	of	of	ADP
app01-2340	154	39	the	the	DET
app01-2340	154	40	5	5	NUM
app01-2340	154	41	-	-	PUNCT
app01-2340	154	42	dimensional	dimensional	ADJ
app01-2340	154	43	universe	universe	NOUN
app01-2340	154	44	described	describe	VERB
app01-2340	154	45	by	by	ADP
app01-2340	154	46	our	our	PRON
app01-2340	154	47	model	model	NOUN
app01-2340	154	48	.	.	PUNCT
app01-2340	155	1	for	for	ADP
app01-2340	155	2	epochs	epoch	NOUN
app01-2340	155	3	before	before	SCONJ
app01-2340	155	4	the	the	DET
app01-2340	155	5	energy	energy	NOUN
app01-2340	155	6	transfer	transfer	NOUN
app01-2340	155	7	started	start	VERB
app01-2340	155	8	ρde(t	ρde(t	PROPN
app01-2340	155	9	,	,	PUNCT
app01-2340	155	10	0	0	NUM
app01-2340	155	11	)	)	PUNCT
app01-2340	155	12	=	=	SYM
app01-2340	155	13	0	0	NUM
app01-2340	155	14	,	,	PUNCT
app01-2340	155	15	and	and	CCONJ
app01-2340	155	16	sinj	sinj	NOUN
app01-2340	155	17	=	=	SYM
app01-2340	155	18	0	0	NUM
app01-2340	155	19	,	,	PUNCT
app01-2340	155	20	and	and	CCONJ
app01-2340	155	21	we	we	PRON
app01-2340	155	22	can	can	AUX
app01-2340	155	23	set	set	VERB
app01-2340	155	24	ρde(t	ρde(t	PROPN
app01-2340	155	25	,	,	PUNCT
app01-2340	155	26	lsb	lsb	PROPN
app01-2340	155	27	)	)	PUNCT
app01-2340	155	28	=	=	PUNCT
app01-2340	156	1	λsb	λsb	ADJ
app01-2340	156	2	for	for	ADP
app01-2340	156	3	t	t	PROPN
app01-2340	156	4	<	<	X
app01-2340	156	5	t(z	t(z	PROPN
app01-2340	156	6	=	=	PROPN
app01-2340	156	7	z	z	PROPN
app01-2340	156	8	?	?	PUNCT
app01-2340	156	9	)	)	PUNCT
app01-2340	156	10	.	.	PUNCT
app01-2340	157	1	3	3	NUM
app01-2340	157	2	comparison	comparison	NOUN
app01-2340	157	3	to	to	ADP
app01-2340	157	4	experimental	experimental	ADJ
app01-2340	157	5	limits	limit	NOUN
app01-2340	157	6	our	our	PRON
app01-2340	157	7	model	model	NOUN
app01-2340	157	8	can	can	AUX
app01-2340	157	9	be	be	AUX
app01-2340	157	10	tested	test	VERB
app01-2340	157	11	by	by	ADP
app01-2340	157	12	several	several	ADJ
app01-2340	157	13	different	different	ADJ
app01-2340	157	14	types	type	NOUN
app01-2340	157	15	of	of	ADP
app01-2340	157	16	experiment	experiment	NOUN
app01-2340	157	17	.	.	PUNCT
app01-2340	158	1	we	we	PRON
app01-2340	158	2	discuss	discuss	VERB
app01-2340	158	3	two	two	NUM
app01-2340	158	4	of	of	ADP
app01-2340	158	5	these	these	PRON
app01-2340	158	6	below	below	ADV
app01-2340	158	7	.	.	PUNCT
app01-2340	159	1	3.1	3.1	NUM
app01-2340	159	2	pulsar	pulsar	NOUN
app01-2340	159	3	timing	time	VERB
app01-2340	159	4	experiments	experiment	NOUN
app01-2340	159	5	figure	figure	VERB
app01-2340	159	6	3	3	NUM
app01-2340	159	7	:	:	PUNCT
app01-2340	159	8	gravitational	gravitational	ADJ
app01-2340	159	9	wave	wave	NOUN
app01-2340	159	10	background	background	NOUN
app01-2340	159	11	limit	limit	NOUN
app01-2340	159	12	from	from	ADP
app01-2340	159	13	pulsar	pulsar	NOUN
app01-2340	159	14	timing	timing	NOUN
app01-2340	159	15	(	(	PUNCT
app01-2340	159	16	dashed	dash	VERB
app01-2340	159	17	line	line	NOUN
app01-2340	159	18	)	)	PUNCT
app01-2340	159	19	,	,	PUNCT
app01-2340	159	20	and	and	CCONJ
app01-2340	159	21	our	our	PRON
app01-2340	159	22	inferred	infer	VERB
app01-2340	159	23	gravitational	gravitational	ADJ
app01-2340	159	24	wave	wave	NOUN
app01-2340	159	25	background	background	NOUN
app01-2340	159	26	from	from	ADP
app01-2340	159	27	stimulated	stimulated	ADJ
app01-2340	159	28	emission	emission	NOUN
app01-2340	159	29	of	of	ADP
app01-2340	159	30	gravitational	gravitational	ADJ
app01-2340	159	31	waves	wave	NOUN
app01-2340	159	32	from	from	ADP
app01-2340	159	33	the	the	DET
app01-2340	159	34	background	background	NOUN
app01-2340	159	35	planck	planck	NOUN
app01-2340	159	36	sea	sea	NOUN
app01-2340	159	37	constituting	constitute	VERB
app01-2340	159	38	dark	dark	ADJ
app01-2340	159	39	energy	energy	NOUN
app01-2340	159	40	(	(	PUNCT
app01-2340	159	41	straight	straight	ADJ
app01-2340	159	42	line	line	NOUN
app01-2340	159	43	)	)	PUNCT
app01-2340	159	44	.	.	PUNCT
app01-2340	160	1	the	the	DET
app01-2340	160	2	ordinate	ordinate	NOUN
app01-2340	160	3	is	be	AUX
app01-2340	160	4	the	the	DET
app01-2340	160	5	fraction	fraction	NOUN
app01-2340	160	6	of	of	ADP
app01-2340	160	7	closure	closure	NOUN
app01-2340	160	8	density	density	NOUN
app01-2340	160	9	ω	ω	PROPN
app01-2340	160	10	per	per	ADP
app01-2340	160	11	log	log	NOUN
app01-2340	160	12	bin	bin	PROPN
app01-2340	160	13	of	of	ADP
app01-2340	160	14	frequency	frequency	NOUN
app01-2340	160	15	,	,	PUNCT
app01-2340	160	16	and	and	CCONJ
app01-2340	160	17	the	the	DET
app01-2340	160	18	abscissa	abscissa	NOUN
app01-2340	160	19	is	be	AUX
app01-2340	160	20	the	the	DET
app01-2340	160	21	frequency	frequency	NOUN
app01-2340	160	22	of	of	ADP
app01-2340	160	23	the	the	DET
app01-2340	160	24	gravitational	gravitational	ADJ
app01-2340	160	25	waves	wave	NOUN
app01-2340	161	1	f	f	NOUN
app01-2340	161	2	.	.	PUNCT
app01-2340	162	1	the	the	DET
app01-2340	162	2	gravitational	gravitational	ADJ
app01-2340	162	3	waves	wave	NOUN
app01-2340	162	4	in	in	ADP
app01-2340	162	5	our	our	PRON
app01-2340	162	6	model	model	NOUN
app01-2340	162	7	arise	arise	NOUN
app01-2340	162	8	from	from	ADP
app01-2340	162	9	the	the	DET
app01-2340	162	10	production	production	NOUN
app01-2340	162	11	of	of	ADP
app01-2340	162	12	black	black	ADJ
app01-2340	162	13	holes	hole	NOUN
app01-2340	162	14	in	in	ADP
app01-2340	162	15	the	the	DET
app01-2340	162	16	early	early	ADJ
app01-2340	162	17	universe	universe	NOUN
app01-2340	162	18	at	at	ADP
app01-2340	162	19	a	a	DET
app01-2340	162	20	redshift	redshift	NOUN
app01-2340	162	21	of	of	ADP
app01-2340	162	22	z	z	NOUN
app01-2340	162	23	'	'	PART
app01-2340	162	24	50	50	NUM
app01-2340	162	25	.	.	PUNCT
app01-2340	163	1	the	the	DET
app01-2340	163	2	observed	observe	VERB
app01-2340	163	3	constant	constant	ADJ
app01-2340	163	4	dark	dark	ADJ
app01-2340	163	5	energy	energy	NOUN
app01-2340	163	6	density	density	NOUN
app01-2340	163	7	is	be	AUX
app01-2340	163	8	maintained	maintain	VERB
app01-2340	163	9	by	by	ADP
app01-2340	163	10	the	the	DET
app01-2340	163	11	continuous	continuous	ADJ
app01-2340	163	12	production	production	NOUN
app01-2340	163	13	of	of	ADP
app01-2340	163	14	gravitational	gravitational	ADJ
app01-2340	163	15	waves	wave	NOUN
app01-2340	163	16	by	by	ADP
app01-2340	163	17	black	black	ADJ
app01-2340	163	18	-	-	PUNCT
app01-2340	163	19	hole	hole	NOUN
app01-2340	163	20	interactions	interaction	NOUN
app01-2340	163	21	with	with	ADP
app01-2340	163	22	the	the	DET
app01-2340	163	23	planck	planck	NOUN
app01-2340	163	24	sea	sea	NOUN
app01-2340	163	25	background	background	NOUN
app01-2340	163	26	.	.	PUNCT
app01-2340	164	1	for	for	ADP
app01-2340	164	2	an	an	DET
app01-2340	164	3	idealized	idealized	ADJ
app01-2340	164	4	model	model	NOUN
app01-2340	164	5	in	in	ADP
app01-2340	164	6	which	which	PRON
app01-2340	164	7	all	all	DET
app01-2340	164	8	black	black	ADJ
app01-2340	164	9	holes	hole	NOUN
app01-2340	164	10	were	be	AUX
app01-2340	164	11	created	create	VERB
app01-2340	164	12	at	at	ADP
app01-2340	164	13	the	the	DET
app01-2340	164	14	same	same	ADJ
app01-2340	164	15	time	time	NOUN
app01-2340	164	16	,	,	PUNCT
app01-2340	164	17	and	and	CCONJ
app01-2340	164	18	with	with	ADP
app01-2340	164	19	the	the	DET
app01-2340	164	20	same	same	ADJ
app01-2340	164	21	mass	mass	NOUN
app01-2340	164	22	,	,	PUNCT
app01-2340	164	23	the	the	DET
app01-2340	164	24	gravitational	gravitational	ADJ
app01-2340	164	25	wave	wave	NOUN
app01-2340	164	26	background	background	NOUN
app01-2340	164	27	peaks	peak	NOUN
app01-2340	164	28	near	near	ADP
app01-2340	164	29	fgw	fgw	PROPN
app01-2340	164	30	,	,	PUNCT
app01-2340	164	31	max	max	PROPN
app01-2340	164	32	'	'	PART
app01-2340	164	33	10−4.5	10−4.5	NUM
app01-2340	164	34	hz	hz	VERB
app01-2340	164	35	m−1bh,6.5	m−1bh,6.5	PROPN
app01-2340	164	36	(	(	PUNCT
app01-2340	164	37	1	1	NUM
app01-2340	164	38	+	+	NOUN
app01-2340	164	39	50)/(1	50)/(1	NUM
app01-2340	164	40	+	+	SYM
app01-2340	164	41	z	z	NOUN
app01-2340	164	42	?	?	PUNCT
app01-2340	164	43	)	)	PUNCT
app01-2340	164	44	.	.	PUNCT
app01-2340	165	1	a	a	DET
app01-2340	165	2	soliton	soliton	NOUN
app01-2340	165	3	comes	come	VERB
app01-2340	165	4	past	past	ADP
app01-2340	165	5	a	a	DET
app01-2340	165	6	given	give	VERB
app01-2340	165	7	point	point	NOUN
app01-2340	165	8	in	in	ADP
app01-2340	165	9	space	space	NOUN
app01-2340	165	10	-	-	PUNCT
app01-2340	165	11	time	time	NOUN
app01-2340	165	12	on	on	ADP
app01-2340	165	13	the	the	DET
app01-2340	165	14	order	order	NOUN
app01-2340	165	15	of	of	ADP
app01-2340	165	16	every	every	DET
app01-2340	165	17	20	20	NUM
app01-2340	165	18	seconds	second	NOUN
app01-2340	165	19	.	.	PUNCT
app01-2340	166	1	wave	wave	NOUN
app01-2340	166	2	forms	form	NOUN
app01-2340	166	3	are	be	AUX
app01-2340	166	4	created	create	VERB
app01-2340	166	5	by	by	ADP
app01-2340	166	6	uncorrelated	uncorrelated	ADJ
app01-2340	166	7	solitons	soliton	NOUN
app01-2340	166	8	passing	pass	VERB
app01-2340	166	9	by	by	ADP
app01-2340	166	10	a	a	DET
app01-2340	166	11	given	give	VERB
app01-2340	166	12	point	point	NOUN
app01-2340	166	13	.	.	PUNCT
app01-2340	167	1	ultra	ultra	ADJ
app01-2340	167	2	-	-	ADJ
app01-2340	167	3	precise	precise	ADJ
app01-2340	167	4	timing	timing	NOUN
app01-2340	167	5	experiments	experiment	NOUN
app01-2340	167	6	which	which	PRON
app01-2340	167	7	test	test	VERB
app01-2340	167	8	the	the	DET
app01-2340	167	9	steadiness	steadiness	NOUN
app01-2340	167	10	of	of	ADP
app01-2340	167	11	timing	timing	NOUN
app01-2340	167	12	over	over	ADP
app01-2340	167	13	time	time	NOUN
app01-2340	167	14	scales	scale	NOUN
app01-2340	167	15	of	of	ADP
app01-2340	167	16	order	order	NOUN
app01-2340	167	17	a	a	DET
app01-2340	167	18	few	few	ADJ
app01-2340	167	19	seconds	second	NOUN
app01-2340	167	20	to	to	ADP
app01-2340	167	21	a	a	DET
app01-2340	167	22	few	few	ADJ
app01-2340	167	23	minutes	minute	NOUN
app01-2340	167	24	would	would	AUX
app01-2340	167	25	show	show	VERB
app01-2340	167	26	these	these	DET
app01-2340	167	27	variations	variation	NOUN
app01-2340	167	28	in	in	ADP
app01-2340	167	29	the	the	DET
app01-2340	167	30	energy	energy	NOUN
app01-2340	167	31	density	density	NOUN
app01-2340	167	32	if	if	SCONJ
app01-2340	167	33	the	the	DET
app01-2340	167	34	precision	precision	NOUN
app01-2340	167	35	is	be	AUX
app01-2340	167	36	high	high	ADJ
app01-2340	167	37	enough	enough	ADV
app01-2340	167	38	.	.	PUNCT
app01-2340	168	1	the	the	DET
app01-2340	168	2	precision	precision	NOUN
app01-2340	168	3	to	to	PART
app01-2340	168	4	detect	detect	VERB
app01-2340	168	5	such	such	DET
app01-2340	168	6	a	a	DET
app01-2340	168	7	signal	signal	NOUN
app01-2340	168	8	has	have	VERB
app01-2340	168	9	to	to	PART
app01-2340	168	10	correspond	correspond	VERB
app01-2340	168	11	to	to	ADP
app01-2340	168	12	seconds	second	NOUN
app01-2340	168	13	in	in	ADP
app01-2340	168	14	the	the	DET
app01-2340	168	15	expansion	expansion	NOUN
app01-2340	168	16	rate	rate	NOUN
app01-2340	168	17	of	of	ADP
app01-2340	168	18	the	the	DET
app01-2340	168	19	universe	universe	NOUN
app01-2340	168	20	,	,	PUNCT
app01-2340	168	21	which	which	PRON
app01-2340	168	22	requires	require	VERB
app01-2340	168	23	the	the	DET
app01-2340	168	24	precision	precision	NOUN
app01-2340	168	25	to	to	PART
app01-2340	168	26	be	be	AUX
app01-2340	168	27	of	of	ADP
app01-2340	168	28	order	order	NOUN
app01-2340	168	29	10−17.5	10−17.5	NUM
app01-2340	168	30	,	,	PUNCT
app01-2340	168	31	or	or	CCONJ
app01-2340	168	32	a	a	DET
app01-2340	168	33	few	few	ADJ
app01-2340	168	34	10−18	10−18	NOUN
app01-2340	168	35	.	.	PUNCT
app01-2340	169	1	this	this	DET
app01-2340	169	2	precision	precision	NOUN
app01-2340	169	3	is	be	AUX
app01-2340	169	4	expected	expect	VERB
app01-2340	169	5	to	to	PART
app01-2340	169	6	be	be	AUX
app01-2340	169	7	reached	reach	VERB
app01-2340	169	8	in	in	ADP
app01-2340	169	9	the	the	DET
app01-2340	169	10	next	next	ADJ
app01-2340	169	11	generation	generation	NOUN
app01-2340	169	12	of	of	ADP
app01-2340	169	13	clocks	clock	NOUN
app01-2340	170	1	[	[	X
app01-2340	170	2	16	16	NUM
app01-2340	170	3	]	]	PUNCT
app01-2340	170	4	.	.	PUNCT
app01-2340	171	1	t	t	PROPN
app01-2340	171	2	ρ	ρ	NUM
app01-2340	171	3	1	1	NUM
app01-2340	171	4	figure	figure	NOUN
app01-2340	171	5	4	4	NUM
app01-2340	171	6	:	:	PUNCT
app01-2340	171	7	the	the	DET
app01-2340	171	8	sequential	sequential	ADJ
app01-2340	171	9	passing	passing	NOUN
app01-2340	171	10	of	of	ADP
app01-2340	171	11	solitons	soliton	NOUN
app01-2340	171	12	(	(	PUNCT
app01-2340	171	13	sharp	sharp	ADJ
app01-2340	171	14	peaks	peak	NOUN
app01-2340	171	15	)	)	PUNCT
app01-2340	171	16	can	can	AUX
app01-2340	171	17	be	be	AUX
app01-2340	171	18	approximated	approximate	VERB
app01-2340	171	19	by	by	ADP
app01-2340	171	20	a	a	DET
app01-2340	171	21	sinusoidal	sinusoidal	ADJ
app01-2340	171	22	wave	wave	NOUN
app01-2340	171	23	form	form	NOUN
app01-2340	171	24	.	.	PUNCT
app01-2340	172	1	4	4	NUM
app01-2340	172	2	conclusions	conclusion	NOUN
app01-2340	172	3	if	if	SCONJ
app01-2340	172	4	the	the	DET
app01-2340	172	5	validity	validity	NOUN
app01-2340	172	6	of	of	ADP
app01-2340	172	7	our	our	PRON
app01-2340	172	8	model	model	NOUN
app01-2340	172	9	is	be	AUX
app01-2340	172	10	proven	prove	VERB
app01-2340	172	11	by	by	ADP
app01-2340	172	12	experimental	experimental	ADJ
app01-2340	172	13	tests	test	NOUN
app01-2340	172	14	such	such	ADJ
app01-2340	172	15	as	as	ADP
app01-2340	172	16	the	the	DET
app01-2340	172	17	pulsar	pulsar	NOUN
app01-2340	172	18	timing	time	VERB
app01-2340	172	19	experiments	experiment	NOUN
app01-2340	172	20	(	(	PUNCT
app01-2340	172	21	fig.3	fig.3	PROPN
app01-2340	172	22	)	)	PUNCT
app01-2340	172	23	,	,	PUNCT
app01-2340	172	24	the	the	DET
app01-2340	172	25	detection	detection	NOUN
app01-2340	172	26	of	of	ADP
app01-2340	172	27	time	time	NOUN
app01-2340	172	28	jitter	jitter	NOUN
app01-2340	172	29	(	(	PUNCT
app01-2340	172	30	fig.4	fig.4	PROPN
app01-2340	172	31	)	)	PUNCT
app01-2340	172	32	,	,	PUNCT
app01-2340	172	33	or	or	CCONJ
app01-2340	172	34	the	the	DET
app01-2340	172	35	detection	detection	NOUN
app01-2340	172	36	by	by	ADP
app01-2340	172	37	an	an	DET
app01-2340	172	38	observatory	observatory	NOUN
app01-2340	172	39	such	such	ADJ
app01-2340	172	40	as	as	ADP
app01-2340	172	41	ligo	ligo	NOUN
app01-2340	172	42	or	or	CCONJ
app01-2340	172	43	virgo	virgo	NOUN
app01-2340	172	44	of	of	ADP
app01-2340	172	45	the	the	DET
app01-2340	172	46	passage	passage	NOUN
app01-2340	172	47	of	of	ADP
app01-2340	172	48	a	a	DET
app01-2340	172	49	shell	shell	ADJ
app01-2340	172	50	front	front	NOUN
app01-2340	172	51	by	by	ADP
app01-2340	172	52	a	a	DET
app01-2340	172	53	dedicated	dedicated	ADJ
app01-2340	172	54	type	type	NOUN
app01-2340	172	55	of	of	ADP
app01-2340	172	56	data	datum	NOUN
app01-2340	172	57	analysis	analysis	NOUN
app01-2340	172	58	,	,	PUNCT
app01-2340	172	59	the	the	DET
app01-2340	172	60	implications	implication	NOUN
app01-2340	172	61	for	for	ADP
app01-2340	172	62	cosmology	cosmology	NOUN
app01-2340	172	63	are	be	AUX
app01-2340	172	64	great	great	ADJ
app01-2340	172	65	.	.	PUNCT
app01-2340	173	1	the	the	DET
app01-2340	173	2	basis	basis	NOUN
app01-2340	173	3	of	of	ADP
app01-2340	173	4	our	our	PRON
app01-2340	173	5	model	model	NOUN
app01-2340	173	6	is	be	AUX
app01-2340	173	7	that	that	SCONJ
app01-2340	173	8	the	the	DET
app01-2340	173	9	source	source	NOUN
app01-2340	173	10	of	of	ADP
app01-2340	173	11	dark	dark	ADJ
app01-2340	173	12	energy	energy	NOUN
app01-2340	173	13	is	be	AUX
app01-2340	173	14	the	the	DET
app01-2340	173	15	creation	creation	NOUN
app01-2340	173	16	of	of	ADP
app01-2340	173	17	gravitational	gravitational	ADJ
app01-2340	173	18	waves	wave	NOUN
app01-2340	173	19	by	by	ADP
app01-2340	173	20	the	the	DET
app01-2340	173	21	interaction	interaction	NOUN
app01-2340	173	22	of	of	ADP
app01-2340	173	23	surfaces	surface	NOUN
app01-2340	173	24	at	at	ADP
app01-2340	173	25	critical	critical	ADJ
app01-2340	173	26	density	density	NOUN
app01-2340	173	27	,	,	PUNCT
app01-2340	173	28	e.g.	e.g.	ADV
app01-2340	173	29	the	the	DET
app01-2340	173	30	planck	planck	NOUN
app01-2340	173	31	surfaces	surface	NOUN
app01-2340	173	32	surrounding	surround	VERB
app01-2340	173	33	black	black	ADJ
app01-2340	173	34	holes	hole	NOUN
app01-2340	173	35	,	,	PUNCT
app01-2340	173	36	with	with	ADP
app01-2340	173	37	a	a	DET
app01-2340	173	38	strong	strong	ADJ
app01-2340	173	39	-	-	PUNCT
app01-2340	173	40	gravity	gravity	NOUN
app01-2340	173	41	brane	brane	NOUN
app01-2340	173	42	located	locate	VERB
app01-2340	173	43	a	a	DET
app01-2340	173	44	few	few	ADJ
app01-2340	173	45	planck	planck	NOUN
app01-2340	173	46	lengths	length	NOUN
app01-2340	173	47	from	from	ADP
app01-2340	173	48	our	our	PRON
app01-2340	173	49	weak	weak	ADJ
app01-2340	173	50	-	-	PUNCT
app01-2340	173	51	gravity	gravity	NOUN
app01-2340	173	52	brane	brane	NOUN
app01-2340	173	53	.	.	PUNCT
app01-2340	174	1	our	our	PRON
app01-2340	174	2	model	model	NOUN
app01-2340	174	3	is	be	AUX
app01-2340	174	4	consistent	consistent	ADJ
app01-2340	174	5	with	with	ADP
app01-2340	174	6	the	the	DET
app01-2340	174	7	big	big	ADJ
app01-2340	174	8	-	-	PUNCT
app01-2340	174	9	bang	bang	NOUN
app01-2340	174	10	theory	theory	NOUN
app01-2340	174	11	after	after	ADP
app01-2340	174	12	the	the	DET
app01-2340	174	13	first	first	ADJ
app01-2340	174	14	planck	planck	NOUN
app01-2340	174	15	time	time	NOUN
app01-2340	174	16	.	.	PUNCT
app01-2340	175	1	however	however	ADV
app01-2340	175	2	,	,	PUNCT
app01-2340	175	3	in	in	ADP
app01-2340	175	4	our	our	PRON
app01-2340	175	5	model	model	NOUN
app01-2340	175	6	the	the	DET
app01-2340	175	7	universe	universe	NOUN
app01-2340	175	8	starts	start	VERB
app01-2340	175	9	from	from	ADP
app01-2340	175	10	a	a	DET
app01-2340	175	11	lemaitre	lemaitre	NOUN
app01-2340	175	12	-	-	PUNCT
app01-2340	175	13	like	like	ADJ
app01-2340	175	14	‘	'	PUNCT
app01-2340	175	15	atom	atom	NOUN
app01-2340	175	16	’	'	PUNCT
app01-2340	175	17	or	or	CCONJ
app01-2340	175	18	‘	'	PUNCT
app01-2340	175	19	seed	seed	NOUN
app01-2340	175	20	’	'	PUNCT
app01-2340	176	1	[	[	X
app01-2340	176	2	5	5	NUM
app01-2340	176	3	]	]	PUNCT
app01-2340	176	4	.	.	PUNCT
app01-2340	177	1	our	our	PRON
app01-2340	177	2	model	model	NOUN
app01-2340	177	3	also	also	ADV
app01-2340	177	4	has	have	VERB
app01-2340	177	5	implications	implication	NOUN
app01-2340	177	6	for	for	ADP
app01-2340	177	7	quantum	quantum	ADJ
app01-2340	177	8	gravity	gravity	NOUN
app01-2340	177	9	theory	theory	NOUN
app01-2340	177	10	.	.	PUNCT
app01-2340	178	1	experimental	experimental	ADJ
app01-2340	178	2	evidence	evidence	NOUN
app01-2340	178	3	for	for	ADP
app01-2340	178	4	the	the	DET
app01-2340	178	5	validity	validity	NOUN
app01-2340	178	6	of	of	ADP
app01-2340	178	7	24	24	NUM
app01-2340	178	8	gravitational	gravitational	ADJ
app01-2340	178	9	waves	wave	NOUN
app01-2340	178	10	and	and	CCONJ
app01-2340	178	11	dark	dark	ADJ
app01-2340	178	12	energy	energy	NOUN
app01-2340	178	13	our	our	PRON
app01-2340	178	14	model	model	NOUN
app01-2340	178	15	would	would	AUX
app01-2340	178	16	imply	imply	VERB
app01-2340	178	17	the	the	DET
app01-2340	178	18	existence	existence	NOUN
app01-2340	178	19	of	of	ADP
app01-2340	178	20	a	a	DET
app01-2340	178	21	strong	strong	ADJ
app01-2340	178	22	-	-	PUNCT
app01-2340	178	23	gravity	gravity	NOUN
app01-2340	178	24	brane	brane	NOUN
app01-2340	178	25	and	and	CCONJ
app01-2340	178	26	extra	extra	ADJ
app01-2340	178	27	dimensions	dimension	NOUN
app01-2340	178	28	as	as	ADV
app01-2340	178	29	well	well	ADV
app01-2340	178	30	as	as	ADP
app01-2340	178	31	a	a	DET
app01-2340	178	32	smallest	small	ADJ
app01-2340	178	33	distance	distance	NOUN
app01-2340	178	34	and	and	CCONJ
app01-2340	178	35	impenetrable	impenetrable	ADJ
app01-2340	178	36	planck	planck	NOUN
app01-2340	178	37	surfaces	surface	NOUN
app01-2340	178	38	rather	rather	ADV
app01-2340	178	39	than	than	ADP
app01-2340	178	40	horizons	horizon	NOUN
app01-2340	178	41	.	.	PUNCT
app01-2340	179	1	although	although	SCONJ
app01-2340	179	2	our	our	PRON
app01-2340	179	3	model	model	NOUN
app01-2340	179	4	describes	describe	VERB
app01-2340	179	5	several	several	ADJ
app01-2340	179	6	observed	observed	ADJ
app01-2340	179	7	cosmological	cosmological	ADJ
app01-2340	179	8	phenomena	phenomenon	NOUN
app01-2340	179	9	,	,	PUNCT
app01-2340	179	10	it	it	PRON
app01-2340	179	11	is	be	AUX
app01-2340	179	12	largely	largely	ADV
app01-2340	179	13	heuristic	heuristic	ADJ
app01-2340	179	14	.	.	PUNCT
app01-2340	180	1	we	we	PRON
app01-2340	180	2	are	be	AUX
app01-2340	180	3	currently	currently	ADV
app01-2340	180	4	working	work	VERB
app01-2340	180	5	on	on	ADP
app01-2340	180	6	an	an	DET
app01-2340	180	7	exact	exact	ADJ
app01-2340	180	8	solution	solution	NOUN
app01-2340	180	9	of	of	ADP
app01-2340	180	10	the	the	DET
app01-2340	180	11	fivedimensional	fivedimensional	ADJ
app01-2340	180	12	space	space	NOUN
app01-2340	180	13	-	-	PUNCT
app01-2340	180	14	time	time	NOUN
app01-2340	180	15	metric	metric	ADJ
app01-2340	180	16	and	and	CCONJ
app01-2340	180	17	a	a	DET
app01-2340	180	18	more	more	ADV
app01-2340	180	19	formal	formal	ADJ
app01-2340	180	20	mathematical	mathematical	ADJ
app01-2340	180	21	description	description	NOUN
app01-2340	180	22	of	of	ADP
app01-2340	180	23	the	the	DET
app01-2340	180	24	stimulated	stimulate	VERB
app01-2340	180	25	emission	emission	NOUN
app01-2340	180	26	amplitude	amplitude	NOUN
app01-2340	180	27	for	for	ADP
app01-2340	180	28	the	the	DET
app01-2340	180	29	creation	creation	NOUN
app01-2340	180	30	of	of	ADP
app01-2340	180	31	the	the	DET
app01-2340	180	32	solitons	soliton	NOUN
app01-2340	180	33	.	.	PUNCT
app01-2340	181	1	acknowledgement	acknowledgement	NOUN
app01-2340	181	2	discussions	discussion	NOUN
app01-2340	181	3	with	with	ADP
app01-2340	181	4	lou	lou	PROPN
app01-2340	181	5	clavelli	clavelli	PROPN
app01-2340	181	6	greatly	greatly	ADV
app01-2340	181	7	contributed	contribute	VERB
app01-2340	181	8	to	to	ADP
app01-2340	181	9	the	the	DET
app01-2340	181	10	development	development	NOUN
app01-2340	181	11	of	of	ADP
app01-2340	181	12	the	the	DET
app01-2340	181	13	paper	paper	NOUN
app01-2340	181	14	;	;	PUNCT
app01-2340	181	15	discussions	discussion	NOUN
app01-2340	181	16	with	with	ADP
app01-2340	181	17	laurenţiu	laurenţiu	ADJ
app01-2340	181	18	caramete	caramete	NOUN
app01-2340	181	19	(	(	PUNCT
app01-2340	181	20	bucharest	bucharest	PROPN
app01-2340	181	21	,	,	PUNCT
app01-2340	181	22	romania	romania	PROPN
app01-2340	181	23	)	)	PUNCT
app01-2340	181	24	,	,	PUNCT
app01-2340	181	25	roberto	roberto	PROPN
app01-2340	181	26	casadio	casadio	PROPN
app01-2340	181	27	(	(	PUNCT
app01-2340	181	28	bologna	bologna	PROPN
app01-2340	181	29	,	,	PUNCT
app01-2340	181	30	italy	italy	PROPN
app01-2340	181	31	)	)	PUNCT
app01-2340	181	32	,	,	PUNCT
app01-2340	181	33	marco	marco	PROPN
app01-2340	181	34	cavaglia	cavaglia	PROPN
app01-2340	181	35	(	(	PUNCT
app01-2340	181	36	oxford	oxford	PROPN
app01-2340	181	37	,	,	PUNCT
app01-2340	181	38	ms	ms	PROPN
app01-2340	181	39	)	)	PUNCT
app01-2340	181	40	,	,	PUNCT
app01-2340	181	41	laszlo	laszlo	ADJ
app01-2340	181	42	gergely	gergely	ADV
app01-2340	181	43	(	(	PUNCT
app01-2340	181	44	szeged	szeged	PROPN
app01-2340	181	45	,	,	PUNCT
app01-2340	181	46	hungary	hungary	PROPN
app01-2340	181	47	)	)	PUNCT
app01-2340	181	48	,	,	PUNCT
app01-2340	181	49	shaoqi	shaoqi	PROPN
app01-2340	181	50	hou	hou	PROPN
app01-2340	181	51	(	(	PUNCT
app01-2340	181	52	tuscaloosa	tuscaloosa	PROPN
app01-2340	181	53	,	,	PUNCT
app01-2340	181	54	al	al	PROPN
app01-2340	181	55	)	)	PUNCT
app01-2340	181	56	,	,	PUNCT
app01-2340	181	57	pankaj	pankaj	PROPN
app01-2340	181	58	joshi	joshi	PROPN
app01-2340	181	59	(	(	PUNCT
app01-2340	181	60	mumbai	mumbai	PROPN
app01-2340	181	61	,	,	PUNCT
app01-2340	181	62	india	india	PROPN
app01-2340	181	63	)	)	PUNCT
app01-2340	181	64	,	,	PUNCT
app01-2340	181	65	gopal	gopal	PROPN
app01-2340	181	66	-	-	PUNCT
app01-2340	181	67	krishna	krishna	PROPN
app01-2340	181	68	(	(	PUNCT
app01-2340	181	69	pune	pune	PROPN
app01-2340	181	70	,	,	PUNCT
app01-2340	181	71	india	india	PROPN
app01-2340	181	72	)	)	PUNCT
app01-2340	181	73	,	,	PUNCT
app01-2340	181	74	octavian	octavian	PROPN
app01-2340	181	75	micu	micu	PROPN
app01-2340	181	76	(	(	PUNCT
app01-2340	181	77	bucharest	bucharest	PROPN
app01-2340	181	78	,	,	PUNCT
app01-2340	181	79	romania	romania	PROPN
app01-2340	181	80	)	)	PUNCT
app01-2340	181	81	,	,	PUNCT
app01-2340	181	82	piero	piero	PROPN
app01-2340	181	83	nicolini	nicolini	PROPN
app01-2340	181	84	(	(	PUNCT
app01-2340	181	85	frankfurt	frankfurt	PROPN
app01-2340	181	86	,	,	PUNCT
app01-2340	181	87	germany	germany	PROPN
app01-2340	181	88	)	)	PUNCT
app01-2340	181	89	,	,	PUNCT
app01-2340	181	90	norma	norma	PROPN
app01-2340	181	91	sanchez	sanchez	PROPN
app01-2340	181	92	(	(	PUNCT
app01-2340	181	93	paris	paris	PROPN
app01-2340	181	94	,	,	PUNCT
app01-2340	181	95	france	france	PROPN
app01-2340	181	96	)	)	PUNCT
app01-2340	181	97	,	,	PUNCT
app01-2340	181	98	joe	joe	PROPN
app01-2340	181	99	silk	silk	PROPN
app01-2340	181	100	(	(	PUNCT
app01-2340	181	101	oxford	oxford	PROPN
app01-2340	181	102	,	,	PUNCT
app01-2340	181	103	united	united	ADJ
app01-2340	181	104	kingdom	kingdom	PROPN
app01-2340	181	105	)	)	PUNCT
app01-2340	181	106	,	,	PUNCT
app01-2340	181	107	allen	allen	PROPN
app01-2340	181	108	stern	stern	PROPN
app01-2340	181	109	(	(	PUNCT
app01-2340	181	110	tuscaloosa	tuscaloosa	PROPN
app01-2340	181	111	,	,	PUNCT
app01-2340	181	112	al	al	PROPN
app01-2340	181	113	)	)	PUNCT
app01-2340	181	114	,	,	PUNCT
app01-2340	181	115	dijan	dijan	PROPN
app01-2340	181	116	stoikovic	stoikovic	PROPN
app01-2340	181	117	(	(	PUNCT
app01-2340	181	118	buffalo	buffalo	PROPN
app01-2340	181	119	,	,	PUNCT
app01-2340	181	120	ny	ny	PROPN
app01-2340	181	121	)	)	PUNCT
app01-2340	181	122	,	,	PUNCT
app01-2340	181	123	and	and	CCONJ
app01-2340	181	124	hector	hector	PROPN
app01-2340	181	125	de	de	PROPN
app01-2340	181	126	vega	vega	PROPN
app01-2340	181	127	(	(	PUNCT
app01-2340	181	128	paris	paris	PROPN
app01-2340	181	129	,	,	PUNCT
app01-2340	181	130	france	france	PROPN
app01-2340	181	131	)	)	PUNCT
app01-2340	181	132	are	be	AUX
app01-2340	181	133	gratefully	gratefully	ADV
app01-2340	181	134	acknowledged	acknowledge	VERB
app01-2340	181	135	.	.	PUNCT
app01-2340	182	1	helpful	helpful	ADJ
app01-2340	182	2	comments	comment	NOUN
app01-2340	182	3	on	on	ADP
app01-2340	182	4	earlier	early	ADJ
app01-2340	182	5	versions	version	NOUN
app01-2340	182	6	of	of	ADP
app01-2340	182	7	the	the	DET
app01-2340	182	8	manuscript	manuscript	NOUN
app01-2340	182	9	were	be	AUX
app01-2340	182	10	received	receive	VERB
app01-2340	182	11	from	from	ADP
app01-2340	182	12	r.	r.	PROPN
app01-2340	182	13	casadio	casadio	PROPN
app01-2340	182	14	,	,	PUNCT
app01-2340	182	15	m.	m.	NOUN
app01-2340	182	16	cavaglia	cavaglia	PROPN
app01-2340	182	17	,	,	PUNCT
app01-2340	182	18	l.	l.	PROPN
app01-2340	182	19	gergely	gergely	PROPN
app01-2340	182	20	,	,	PUNCT
app01-2340	182	21	a.	a.	PROPN
app01-2340	182	22	graham	graham	PROPN
app01-2340	182	23	,	,	PUNCT
app01-2340	182	24	p.	p.	PROPN
app01-2340	182	25	joshi	joshi	PROPN
app01-2340	182	26	,	,	PUNCT
app01-2340	182	27	o.	o.	PROPN
app01-2340	182	28	micu	micu	PROPN
app01-2340	182	29	,	,	PUNCT
app01-2340	182	30	p.	p.	PROPN
app01-2340	182	31	nicolini	nicolini	PROPN
app01-2340	182	32	,	,	PUNCT
app01-2340	182	33	and	and	CCONJ
app01-2340	182	34	d.	d.	PROPN
app01-2340	182	35	stoikovic	stoikovic	PROPN
app01-2340	182	36	.	.	PUNCT
app01-2340	183	1	this	this	DET
app01-2340	183	2	research	research	NOUN
app01-2340	183	3	was	be	AUX
app01-2340	183	4	supported	support	VERB
app01-2340	183	5	in	in	ADP
app01-2340	183	6	part	part	NOUN
app01-2340	183	7	by	by	ADP
app01-2340	183	8	the	the	DET
app01-2340	183	9	doe	doe	NOUN
app01-2340	183	10	under	under	ADP
app01-2340	183	11	grant	grant	NOUN
app01-2340	183	12	de	de	X
app01-2340	183	13	-	-	ADJ
app01-2340	183	14	fg02	fg02	PROPN
app01-2340	183	15	-	-	PUNCT
app01-2340	183	16	10er41714	10er41714	NUM
app01-2340	183	17	.	.	PUNCT
app01-2340	184	1	references	reference	NOUN
app01-2340	184	2	[	[	X
app01-2340	184	3	1	1	NUM
app01-2340	184	4	]	]	X
app01-2340	184	5	appenzeller	appenzeller	NOUN
app01-2340	184	6	,	,	PUNCT
app01-2340	184	7	i.	i.	PROPN
app01-2340	184	8	,	,	PUNCT
app01-2340	184	9	&	&	CCONJ
app01-2340	184	10	fricke	fricke	PROPN
app01-2340	184	11	,	,	PUNCT
app01-2340	184	12	k.	k.	PROPN
app01-2340	184	13	,	,	PUNCT
app01-2340	184	14	a&a	a&a	PROPN
app01-2340	184	15	18	18	NUM
app01-2340	184	16	,	,	PUNCT
app01-2340	184	17	10	10	NUM
app01-2340	184	18	(	(	PUNCT
app01-2340	184	19	1972a	1972a	NUM
app01-2340	184	20	)	)	PUNCT
app01-2340	184	21	;	;	PUNCT
app01-2340	184	22	appenzeller	appenzeller	NOUN
app01-2340	184	23	,	,	PUNCT
app01-2340	184	24	i.	i.	PROPN
app01-2340	184	25	,	,	PUNCT
app01-2340	184	26	&	&	CCONJ
app01-2340	184	27	fricke	fricke	PROPN
app01-2340	184	28	,	,	PUNCT
app01-2340	184	29	k.	k.	PROPN
app01-2340	184	30	,	,	PUNCT
app01-2340	184	31	a&a	a&a	PROPN
app01-2340	184	32	21	21	NUM
app01-2340	184	33	,	,	PUNCT
app01-2340	184	34	285	285	NUM
app01-2340	184	35	(	(	PUNCT
app01-2340	184	36	1972b	1972b	NUM
app01-2340	184	37	)	)	PUNCT
app01-2340	185	1	[	[	X
app01-2340	185	2	2	2	NUM
app01-2340	185	3	]	]	X
app01-2340	185	4	bekenstein	bekenstein	PROPN
app01-2340	185	5	,	,	PUNCT
app01-2340	185	6	j.d	j.d	PROPN
app01-2340	185	7	.	.	PROPN
app01-2340	185	8	,	,	PUNCT
app01-2340	185	9	phys	phy	NOUN
app01-2340	185	10	.	.	PUNCT
app01-2340	186	1	rev	rev	PROPN
app01-2340	186	2	.	.	PUNCT
app01-2340	187	1	d	d	PROPN
app01-2340	187	2	7	7	NUM
app01-2340	187	3	,	,	PUNCT
app01-2340	187	4	2333	2333	NUM
app01-2340	187	5	(	(	PUNCT
app01-2340	187	6	1973	1973	NUM
app01-2340	187	7	)	)	PUNCT
app01-2340	187	8	doi:10.1103	doi:10.1103	NOUN
app01-2340	187	9	/	/	SYM
app01-2340	187	10	physrevd.7.2333	physrevd.7.2333	ADV
app01-2340	187	11	[	[	X
app01-2340	187	12	3	3	NUM
app01-2340	187	13	]	]	X
app01-2340	187	14	biermann	biermann	NOUN
app01-2340	187	15	,	,	PUNCT
app01-2340	187	16	l.	l.	PROPN
app01-2340	187	17	,	,	PUNCT
app01-2340	187	18	schlüter	schlüter	PROPN
app01-2340	187	19	,	,	PUNCT
app01-2340	187	20	a.	a.	NOUN
app01-2340	187	21	,	,	PUNCT
app01-2340	187	22	phys	phy	NOUN
app01-2340	187	23	.	.	PUNCT
app01-2340	188	1	rev	rev	PROPN
app01-2340	188	2	.	.	PROPN
app01-2340	188	3	82	82	NUM
app01-2340	188	4	,	,	PUNCT
app01-2340	188	5	863	863	NUM
app01-2340	188	6	(	(	PUNCT
app01-2340	188	7	1951	1951	NUM
app01-2340	188	8	)	)	PUNCT
app01-2340	188	9	doi:10.1103	doi:10.1103	X
app01-2340	188	10	/	/	SYM
app01-2340	188	11	physrev.82.863	physrev.82.863	PRON
app01-2340	189	1	[	[	X
app01-2340	189	2	4	4	NUM
app01-2340	189	3	]	]	X
app01-2340	189	4	biermann	biermann	NOUN
app01-2340	189	5	,	,	PUNCT
app01-2340	189	6	p.l	p.l	PROPN
app01-2340	189	7	.	.	PROPN
app01-2340	189	8	,	,	PUNCT
app01-2340	189	9	kusenko	kusenko	PROPN
app01-2340	189	10	,	,	PUNCT
app01-2340	189	11	a.	a.	NOUN
app01-2340	189	12	,	,	PUNCT
app01-2340	189	13	phys	phy	NOUN
app01-2340	189	14	.	.	PUNCT
app01-2340	190	1	rev	rev	PROPN
app01-2340	190	2	.	.	PROPN
app01-2340	191	1	lett	lett	PROPN
app01-2340	191	2	96	96	NUM
app01-2340	191	3	,	,	PUNCT
app01-2340	191	4	091301	091301	NUM
app01-2340	191	5	(	(	PUNCT
app01-2340	191	6	2006	2006	NUM
app01-2340	191	7	)	)	PUNCT
app01-2340	191	8	doi:10.1103	doi:10.1103	NOUN
app01-2340	191	9	/	/	SYM
app01-2340	191	10	physrevlett.96.091301	physrevlett.96.091301	NOUN
app01-2340	191	11	[	[	X
app01-2340	191	12	5	5	NUM
app01-2340	191	13	]	]	X
app01-2340	191	14	biermann	biermann	NOUN
app01-2340	191	15	,	,	PUNCT
app01-2340	191	16	p.l	p.l	PROPN
app01-2340	191	17	.	.	PROPN
app01-2340	191	18	,	,	PUNCT
app01-2340	191	19	&	&	CCONJ
app01-2340	191	20	harms	harm	NOUN
app01-2340	191	21	,	,	PUNCT
app01-2340	191	22	b.c	b.c	PROPN
app01-2340	191	23	.	.	PROPN
app01-2340	191	24	,	,	PUNCT
app01-2340	191	25	eprint	eprint	VERB
app01-2340	191	26	arxiv:1205.4016	arxiv:1205.4016	NOUN
app01-2340	191	27	(	(	PUNCT
app01-2340	191	28	2012	2012	NUM
app01-2340	191	29	)	)	PUNCT
app01-2340	191	30	;	;	PUNCT
app01-2340	191	31	biermann	biermann	PROPN
app01-2340	191	32	,	,	PUNCT
app01-2340	191	33	p.l	p.l	PROPN
app01-2340	191	34	.	.	PROPN
app01-2340	191	35	,	,	PUNCT
app01-2340	191	36	&	&	CCONJ
app01-2340	191	37	harms	harm	NOUN
app01-2340	191	38	,	,	PUNCT
app01-2340	191	39	b.c	b.c	PROPN
app01-2340	191	40	.	.	PROPN
app01-2340	191	41	,	,	PUNCT
app01-2340	191	42	in	in	ADP
app01-2340	191	43	proc	proc	NOUN
app01-2340	191	44	.	.	PUNCT
app01-2340	192	1	at	at	ADP
app01-2340	192	2	the	the	DET
app01-2340	192	3	13th	13th	PROPN
app01-2340	192	4	marcel	marcel	PROPN
app01-2340	192	5	grossmann	grossmann	PROPN
app01-2340	192	6	meeting	meeting	NOUN
app01-2340	192	7	,	,	PUNCT
app01-2340	192	8	july	july	PROPN
app01-2340	192	9	2012	2012	NUM
app01-2340	192	10	,	,	PUNCT
app01-2340	192	11	eprint	eprint	NOUN
app01-2340	192	12	arxiv:1302.0040	arxiv:1302.0040	NUM
app01-2340	192	13	(	(	PUNCT
app01-2340	192	14	2013	2013	NUM
app01-2340	192	15	)	)	PUNCT
app01-2340	193	1	[	[	X
app01-2340	193	2	6	6	NUM
app01-2340	193	3	]	]	X
app01-2340	193	4	biermann	biermann	PROPN
app01-2340	193	5	p.l	p.l	PROPN
app01-2340	193	6	.	.	PROPN
app01-2340	193	7	,	,	PUNCT
app01-2340	193	8	et	et	PROPN
app01-2340	193	9	al	al	PROPN
app01-2340	193	10	.	.	PROPN
app01-2340	193	11	,	,	PUNCT
app01-2340	193	12	mon	mon	PROPN
app01-2340	193	13	.	.	PUNCT
app01-2340	194	1	not	not	PART
app01-2340	194	2	.	.	PUNCT
app01-2340	195	1	roy	roy	PROPN
app01-2340	195	2	.	.	PROPN
app01-2340	195	3	astron	astron	PROPN
app01-2340	195	4	.	.	PUNCT
app01-2340	195	5	soc	soc	PROPN
app01-2340	195	6	.	.	PUNCT
app01-2340	196	1	441	441	NUM
app01-2340	196	2	,	,	PUNCT
app01-2340	196	3	1147	1147	NUM
app01-2340	196	4	(	(	PUNCT
app01-2340	196	5	2014	2014	NUM
app01-2340	196	6	)	)	PUNCT
app01-2340	196	7	doi:10.1093	doi:10.1093	NOUN
app01-2340	196	8	/	/	SYM
app01-2340	196	9	mnras	mnras	PROPN
app01-2340	196	10	/	/	SYM
app01-2340	196	11	stu541	stu541	PROPN
app01-2340	197	1	[	[	X
app01-2340	197	2	7	7	NUM
app01-2340	197	3	]	]	X
app01-2340	197	4	caramete	caramete	ADJ
app01-2340	197	5	,	,	PUNCT
app01-2340	197	6	l.i	l.i	PROPN
app01-2340	197	7	.	.	PROPN
app01-2340	197	8	,	,	PUNCT
app01-2340	197	9	&	&	CCONJ
app01-2340	197	10	biermann	biermann	PROPN
app01-2340	197	11	,	,	PUNCT
app01-2340	197	12	p.l	p.l	PROPN
app01-2340	197	13	.	.	PROPN
app01-2340	197	14	,	,	PUNCT
app01-2340	197	15	a&a	a&a	PROPN
app01-2340	197	16	521	521	NUM
app01-2340	197	17	,	,	PUNCT
app01-2340	197	18	id.a55	id.a55	PROPN
app01-2340	197	19	(	(	PUNCT
app01-2340	197	20	2010	2010	NUM
app01-2340	197	21	)	)	PUNCT
app01-2340	198	1	[	[	X
app01-2340	198	2	8	8	NUM
app01-2340	198	3	]	]	SYM
app01-2340	198	4	eckart	eckart	PROPN
app01-2340	198	5	,	,	PUNCT
app01-2340	198	6	a.	a.	PROPN
app01-2340	198	7	,	,	PUNCT
app01-2340	198	8	et	et	PROPN
app01-2340	198	9	al	al	PROPN
app01-2340	198	10	.	.	PROPN
app01-2340	198	11	,	,	PUNCT
app01-2340	198	12	in	in	ADP
app01-2340	198	13	the	the	DET
app01-2340	198	14	evolution	evolution	NOUN
app01-2340	198	15	of	of	ADP
app01-2340	198	16	starbursts	starburst	NOUN
app01-2340	198	17	:	:	PUNCT
app01-2340	198	18	the	the	DET
app01-2340	198	19	331st	331st	PROPN
app01-2340	198	20	wilhelm	wilhelm	PROPN
app01-2340	198	21	and	and	CCONJ
app01-2340	198	22	else	else	ADJ
app01-2340	198	23	heraeus	heraeus	NOUN
app01-2340	198	24	seminar	seminar	NOUN
app01-2340	198	25	.	.	PUNCT
app01-2340	199	1	aip	aip	PROPN
app01-2340	199	2	conf	conf	PROPN
app01-2340	199	3	.	.	PUNCT
app01-2340	200	1	proc	proc	PROPN
app01-2340	200	2	.	.	PUNCT
app01-2340	201	1	783	783	NUM
app01-2340	201	2	,	,	PUNCT
app01-2340	201	3	17	17	NUM
app01-2340	201	4	(	(	PUNCT
app01-2340	201	5	2005	2005	NUM
app01-2340	201	6	)	)	PUNCT
app01-2340	202	1	[	[	X
app01-2340	202	2	9	9	NUM
app01-2340	202	3	]	]	PUNCT
app01-2340	202	4	frieman	frieman	NOUN
app01-2340	202	5	,	,	PUNCT
app01-2340	202	6	j.a	j.a	PROPN
app01-2340	202	7	.	.	PROPN
app01-2340	202	8	,	,	PUNCT
app01-2340	202	9	turner	turner	PROPN
app01-2340	202	10	,	,	PUNCT
app01-2340	202	11	m.s	m.s	PROPN
app01-2340	202	12	.	.	PROPN
app01-2340	202	13	,	,	PUNCT
app01-2340	202	14	&	&	CCONJ
app01-2340	202	15	huterer	huterer	PROPN
app01-2340	202	16	,	,	PUNCT
app01-2340	202	17	d.	d.	PROPN
app01-2340	202	18	,	,	PUNCT
app01-2340	202	19	ara&a	ara&a	PROPN
app01-2340	202	20	46	46	NUM
app01-2340	202	21	,	,	PUNCT
app01-2340	202	22	385	385	NUM
app01-2340	202	23	(	(	PUNCT
app01-2340	202	24	2008	2008	NUM
app01-2340	202	25	)	)	PUNCT
app01-2340	202	26	doi:10.1146	doi:10.1146	NOUN
app01-2340	202	27	/	/	SYM
app01-2340	202	28	annurev.astro.46.060407.145243	annurev.astro.46.060407.145243	PROPN
app01-2340	203	1	[	[	X
app01-2340	203	2	10	10	NUM
app01-2340	203	3	]	]	X
app01-2340	203	4	greene	greene	PROPN
app01-2340	203	5	,	,	PUNCT
app01-2340	203	6	j.e	j.e	PROPN
app01-2340	203	7	.	.	PROPN
app01-2340	203	8	,	,	PUNCT
app01-2340	203	9	barth	barth	PROPN
app01-2340	203	10	,	,	PUNCT
app01-2340	203	11	a.j	a.j	PROPN
app01-2340	203	12	.	.	PROPN
app01-2340	203	13	,	,	PUNCT
app01-2340	203	14	&	&	CCONJ
app01-2340	203	15	ho	ho	PROPN
app01-2340	203	16	,	,	PUNCT
app01-2340	203	17	l.c	l.c	PROPN
app01-2340	203	18	.	.	PROPN
app01-2340	203	19	,	,	PUNCT
app01-2340	203	20	new	new	ADJ
app01-2340	203	21	astro	astro	NOUN
app01-2340	203	22	.	.	PUNCT
app01-2340	204	1	rev	rev	PROPN
app01-2340	204	2	.	.	PROPN
app01-2340	204	3	50	50	NUM
app01-2340	204	4	,	,	PUNCT
app01-2340	204	5	739	739	NUM
app01-2340	204	6	(	(	PUNCT
app01-2340	204	7	2006	2006	NUM
app01-2340	204	8	)	)	PUNCT
app01-2340	205	1	doi:10.1016	doi:10.1016	PROPN
app01-2340	205	2	/	/	SYM
app01-2340	205	3	j.newar.2006.06.080	j.newar.2006.06.080	PROPN
app01-2340	206	1	[	[	X
app01-2340	206	2	11	11	NUM
app01-2340	206	3	]	]	PUNCT
app01-2340	206	4	harms	harm	NOUN
app01-2340	206	5	,	,	PUNCT
app01-2340	206	6	b.c	b.c	PROPN
app01-2340	206	7	.	.	PROPN
app01-2340	206	8	,	,	PUNCT
app01-2340	206	9	&	&	CCONJ
app01-2340	206	10	leblanc	leblanc	PROPN
app01-2340	206	11	,	,	PUNCT
app01-2340	206	12	y.	y.	PROPN
app01-2340	206	13	,	,	PUNCT
app01-2340	206	14	phys	phy	NOUN
app01-2340	206	15	.	.	PUNCT
app01-2340	206	16	rev	rev	PROPN
app01-2340	206	17	.	.	PUNCT
app01-2340	207	1	d	d	PROPN
app01-2340	207	2	46	46	NUM
app01-2340	207	3	,	,	PUNCT
app01-2340	207	4	2334	2334	NUM
app01-2340	207	5	(	(	PUNCT
app01-2340	207	6	1992	1992	NUM
app01-2340	207	7	)	)	PUNCT
app01-2340	207	8	;	;	PUNCT
app01-2340	207	9	harms	harm	NOUN
app01-2340	207	10	,	,	PUNCT
app01-2340	207	11	b.c	b.c	PROPN
app01-2340	207	12	.	.	PROPN
app01-2340	207	13	,	,	PUNCT
app01-2340	207	14	&	&	CCONJ
app01-2340	207	15	leblanc	leblanc	PROPN
app01-2340	207	16	,	,	PUNCT
app01-2340	207	17	y.	y.	PROPN
app01-2340	207	18	,	,	PUNCT
app01-2340	207	19	phys	phy	NOUN
app01-2340	207	20	.	.	PUNCT
app01-2340	208	1	rev	rev	PROPN
app01-2340	208	2	.	.	PROPN
app01-2340	208	3	d47	d47	PROPN
app01-2340	208	4	,	,	PUNCT
app01-2340	208	5	2438	2438	NUM
app01-2340	208	6	(	(	PUNCT
app01-2340	208	7	1993	1993	NUM
app01-2340	208	8	)	)	PUNCT
app01-2340	209	1	[	[	X
app01-2340	209	2	12	12	NUM
app01-2340	209	3	]	]	X
app01-2340	209	4	ligo	ligo	NOUN
app01-2340	209	5	and	and	CCONJ
app01-2340	209	6	virgo	virgo	NOUN
app01-2340	209	7	collaborations	collaboration	NOUN
app01-2340	209	8	,	,	PUNCT
app01-2340	209	9	nature	nature	NOUN
app01-2340	209	10	460	460	NUM
app01-2340	209	11	,	,	PUNCT
app01-2340	209	12	990	990	NUM
app01-2340	209	13	(	(	PUNCT
app01-2340	209	14	2009	2009	NUM
app01-2340	209	15	)	)	PUNCT
app01-2340	209	16	doi:10.1038	doi:10.1038	NOUN
app01-2340	209	17	/	/	SYM
app01-2340	209	18	nature08278	nature08278	PROPN
app01-2340	209	19	[	[	X
app01-2340	209	20	13	13	NUM
app01-2340	209	21	]	]	X
app01-2340	209	22	munyaneza	munyaneza	PROPN
app01-2340	209	23	,	,	PUNCT
app01-2340	209	24	f.	f.	PROPN
app01-2340	209	25	,	,	PUNCT
app01-2340	209	26	&	&	CCONJ
app01-2340	209	27	biermann	biermann	PROPN
app01-2340	209	28	,	,	PUNCT
app01-2340	209	29	p.l	p.l	PROPN
app01-2340	209	30	.	.	PROPN
app01-2340	209	31	,a&a	,a&a	PUNCT
app01-2340	209	32	436	436	NUM
app01-2340	209	33	,	,	PUNCT
app01-2340	209	34	805	805	NUM
app01-2340	209	35	(	(	PUNCT
app01-2340	209	36	2005	2005	NUM
app01-2340	209	37	)	)	PUNCT
app01-2340	209	38	;	;	PUNCT
app01-2340	209	39	munyaneza	munyaneza	PROPN
app01-2340	209	40	,	,	PUNCT
app01-2340	209	41	f.	f.	PROPN
app01-2340	209	42	,	,	PUNCT
app01-2340	209	43	&	&	CCONJ
app01-2340	209	44	biermann	biermann	PROPN
app01-2340	209	45	,	,	PUNCT
app01-2340	209	46	p.l	p.l	PROPN
app01-2340	209	47	.	.	PROPN
app01-2340	209	48	,	,	PUNCT
app01-2340	209	49	astron	astron	PROPN
app01-2340	209	50	.	.	PROPN
app01-2340	209	51	&	&	CCONJ
app01-2340	209	52	astroph	astroph	PROPN
app01-2340	209	53	.	.	PUNCT
app01-2340	210	1	letters	letter	NOUN
app01-2340	210	2	458	458	NUM
app01-2340	210	3	,	,	PUNCT
app01-2340	210	4	l9	l9	PROPN
app01-2340	210	5	(	(	PUNCT
app01-2340	210	6	2006	2006	NUM
app01-2340	210	7	)	)	PUNCT
app01-2340	211	1	[	[	X
app01-2340	211	2	14	14	NUM
app01-2340	211	3	]	]	PUNCT
app01-2340	211	4	perlmutter	perlmutter	NOUN
app01-2340	211	5	,	,	PUNCT
app01-2340	211	6	s.	s.	PROPN
app01-2340	211	7	,	,	PUNCT
app01-2340	211	8	et	et	PROPN
app01-2340	211	9	al	al	PROPN
app01-2340	211	10	.	.	PROPN
app01-2340	211	11	,	,	PUNCT
app01-2340	211	12	apj	apj	PROPN
app01-2340	211	13	517	517	NUM
app01-2340	211	14	,	,	PUNCT
app01-2340	211	15	565	565	NUM
app01-2340	211	16	(	(	PUNCT
app01-2340	211	17	1999	1999	NUM
app01-2340	211	18	)	)	PUNCT
app01-2340	212	1	[	[	X
app01-2340	212	2	15	15	NUM
app01-2340	212	3	]	]	SYM
app01-2340	212	4	planck	planck	NOUN
app01-2340	212	5	collaboration	collaboration	NOUN
app01-2340	212	6	;	;	PUNCT
app01-2340	212	7	ade	ade	ADJ
app01-2340	212	8	,	,	PUNCT
app01-2340	212	9	p.a.r	p.a.r	NOUN
app01-2340	212	10	.	.	PUNCT
app01-2340	212	11	,	,	PUNCT
app01-2340	212	12	et	et	PROPN
app01-2340	212	13	al	al	PROPN
app01-2340	212	14	.	.	PROPN
app01-2340	212	15	,	,	PUNCT
app01-2340	212	16	eprint	eprint	VERB
app01-2340	212	17	arxiv:1303.5078	arxiv:1303.5078	NOUN
app01-2340	212	18	(	(	PUNCT
app01-2340	212	19	2013	2013	NUM
app01-2340	212	20	)	)	PUNCT
app01-2340	213	1	[	[	X
app01-2340	213	2	16	16	NUM
app01-2340	213	3	]	]	PUNCT
app01-2340	213	4	predehl	predehl	NOUN
app01-2340	213	5	,	,	PUNCT
app01-2340	213	6	k.	k.	PROPN
app01-2340	213	7	,	,	PUNCT
app01-2340	213	8	et	et	PROPN
app01-2340	213	9	al	al	PROPN
app01-2340	213	10	.	.	PROPN
app01-2340	213	11	,	,	PUNCT
app01-2340	213	12	science	science	NOUN
app01-2340	213	13	336	336	NUM
app01-2340	213	14	,	,	PUNCT
app01-2340	213	15	441	441	NUM
app01-2340	213	16	(	(	PUNCT
app01-2340	213	17	2012	2012	NUM
app01-2340	213	18	)	)	PUNCT
app01-2340	214	1	[	[	X
app01-2340	214	2	17	17	NUM
app01-2340	214	3	]	]	X
app01-2340	214	4	randall	randall	PROPN
app01-2340	214	5	,	,	PUNCT
app01-2340	214	6	l.	l.	PROPN
app01-2340	214	7	,	,	PUNCT
app01-2340	214	8	sundrum	sundrum	PROPN
app01-2340	214	9	,	,	PUNCT
app01-2340	214	10	r.	r.	PROPN
app01-2340	214	11	,	,	PUNCT
app01-2340	214	12	phys	phy	NOUN
app01-2340	214	13	.	.	PUNCT
app01-2340	214	14	rev	rev	PROPN
app01-2340	214	15	.	.	PROPN
app01-2340	215	1	lett	lett	PROPN
app01-2340	215	2	83	83	NUM
app01-2340	215	3	,	,	PUNCT
app01-2340	215	4	3370	3370	NUM
app01-2340	215	5	(	(	PUNCT
app01-2340	215	6	1999a	1999a	NUM
app01-2340	215	7	)	)	PUNCT
app01-2340	215	8	;	;	PUNCT
app01-2340	215	9	randall	randall	PROPN
app01-2340	215	10	,	,	PUNCT
app01-2340	215	11	l.	l.	PROPN
app01-2340	215	12	,	,	PUNCT
app01-2340	215	13	sundrum	sundrum	PROPN
app01-2340	215	14	,	,	PUNCT
app01-2340	215	15	r.	r.	PROPN
app01-2340	215	16	,	,	PUNCT
app01-2340	215	17	phys	phy	NOUN
app01-2340	215	18	.	.	PUNCT
app01-2340	216	1	rev	rev	PROPN
app01-2340	216	2	.	.	PROPN
app01-2340	217	1	lett	lett	PROPN
app01-2340	217	2	83	83	NUM
app01-2340	217	3	,	,	PUNCT
app01-2340	217	4	4690	4690	NUM
app01-2340	217	5	(	(	PUNCT
app01-2340	217	6	1999b	1999b	NUM
app01-2340	217	7	)	)	PUNCT
app01-2340	218	1	[	[	X
app01-2340	218	2	18	18	NUM
app01-2340	218	3	]	]	X
app01-2340	218	4	riess	riess	PROPN
app01-2340	218	5	,	,	PUNCT
app01-2340	218	6	a.g	a.g	PROPN
app01-2340	218	7	.	.	PROPN
app01-2340	218	8	,	,	PUNCT
app01-2340	218	9	et	et	PROPN
app01-2340	218	10	al	al	PROPN
app01-2340	218	11	.	.	PUNCT
app01-2340	218	12	aj	aj	PROPN
app01-2340	218	13	116	116	NUM
app01-2340	218	14	,	,	PUNCT
app01-2340	218	15	1009	1009	NUM
app01-2340	218	16	(	(	PUNCT
app01-2340	218	17	1998	1998	NUM
app01-2340	218	18	)	)	PUNCT
app01-2340	219	1	[	[	X
app01-2340	219	2	19	19	NUM
app01-2340	219	3	]	]	X
app01-2340	219	4	sanders	sander	NOUN
app01-2340	219	5	,	,	PUNCT
app01-2340	219	6	r.h	r.h	PROPN
app01-2340	219	7	.	.	PROPN
app01-2340	219	8	,	,	PUNCT
app01-2340	219	9	apj	apj	PROPN
app01-2340	219	10	162	162	NUM
app01-2340	219	11	,	,	PUNCT
app01-2340	219	12	791	791	NUM
app01-2340	219	13	(	(	PUNCT
app01-2340	219	14	1970	1970	NUM
app01-2340	219	15	)	)	PUNCT
app01-2340	220	1	[	[	X
app01-2340	220	2	20	20	NUM
app01-2340	220	3	]	]	PUNCT
app01-2340	220	4	schmidt	schmidt	PROPN
app01-2340	220	5	,	,	PUNCT
app01-2340	220	6	b.p	b.p	PROPN
app01-2340	220	7	.	.	PROPN
app01-2340	220	8	,	,	PUNCT
app01-2340	220	9	et	et	PROPN
app01-2340	220	10	al	al	PROPN
app01-2340	220	11	.	.	PROPN
app01-2340	220	12	,	,	PUNCT
app01-2340	220	13	apj	apj	PROPN
app01-2340	220	14	507	507	NUM
app01-2340	220	15	,	,	PUNCT
app01-2340	220	16	46	46	NUM
app01-2340	220	17	(	(	PUNCT
app01-2340	220	18	1998	1998	NUM
app01-2340	220	19	)	)	PUNCT
app01-2340	221	1	[	[	X
app01-2340	221	2	21	21	NUM
app01-2340	221	3	]	]	X
app01-2340	221	4	spitzer	spitzer	NOUN
app01-2340	221	5	,	,	PUNCT
app01-2340	221	6	l.	l.	PROPN
app01-2340	221	7	,	,	PUNCT
app01-2340	221	8	jr	jr	PROPN
app01-2340	221	9	.	.	PROPN
app01-2340	221	10	,	,	PUNCT
app01-2340	221	11	apjl	apjl	VERB
app01-2340	221	12	158	158	NUM
app01-2340	221	13	,	,	PUNCT
app01-2340	221	14	l139	l139	PROPN
app01-2340	221	15	(	(	PUNCT
app01-2340	221	16	1969	1969	NUM
app01-2340	221	17	)	)	PUNCT
app01-2340	221	18	doi:10.1086/180451	doi:10.1086/180451	PUNCT
app01-2340	222	1	[	[	X
app01-2340	222	2	22	22	NUM
app01-2340	222	3	]	]	PUNCT
app01-2340	222	4	dimopoulos	dimopoulo	NOUN
app01-2340	222	5	,	,	PUNCT
app01-2340	222	6	s	s	PROPN
app01-2340	222	7	,	,	PUNCT
app01-2340	222	8	raby	raby	PROPN
app01-2340	222	9	,	,	PUNCT
app01-2340	222	10	s.a	s.a	PROPN
app01-2340	222	11	.	.	PROPN
app01-2340	222	12	,	,	PUNCT
app01-2340	222	13	wilczek	wilczek	PROPN
app01-2340	222	14	,	,	PUNCT
app01-2340	222	15	f.	f.	PROPN
app01-2340	222	16	phys	phys	PROPN
app01-2340	222	17	.	.	PUNCT
app01-2340	223	1	today	today	NOUN
app01-2340	223	2	oct	oct	PROPN
app01-2340	223	3	.	.	PROPN
app01-2340	223	4	,	,	PUNCT
app01-2340	223	5	p.	p.	NOUN
app01-2340	223	6	25	25	NUM
app01-2340	223	7	(	(	PUNCT
app01-2340	223	8	1991	1991	NUM
app01-2340	223	9	)	)	PUNCT
app01-2340	223	10	discussion	discussion	NOUN
app01-2340	223	11	moshe	moshe	PROPN
app01-2340	223	12	elitzur	elitzur	PROPN
app01-2340	223	13	:	:	PUNCT
app01-2340	223	14	are	be	AUX
app01-2340	223	15	there	there	PRON
app01-2340	223	16	predictions	prediction	NOUN
app01-2340	223	17	for	for	ADP
app01-2340	223	18	the	the	DET
app01-2340	223	19	effect	effect	NOUN
app01-2340	223	20	of	of	ADP
app01-2340	223	21	your	your	PRON
app01-2340	223	22	model	model	NOUN
app01-2340	223	23	on	on	ADP
app01-2340	223	24	the	the	DET
app01-2340	223	25	imprint	imprint	NOUN
app01-2340	223	26	of	of	ADP
app01-2340	223	27	fluctuations	fluctuation	NOUN
app01-2340	223	28	on	on	ADP
app01-2340	223	29	cmb	cmb	PROPN
app01-2340	223	30	and	and	CCONJ
app01-2340	223	31	baryon	baryon	VERB
app01-2340	223	32	acoustic	acoustic	ADJ
app01-2340	223	33	oscillations	oscillation	NOUN
app01-2340	223	34	?	?	PUNCT
app01-2340	224	1	benjamin	benjamin	PROPN
app01-2340	224	2	harms	harm	VERB
app01-2340	224	3	:	:	PUNCT
app01-2340	224	4	dark	dark	ADJ
app01-2340	224	5	energy	energy	NOUN
app01-2340	224	6	in	in	ADP
app01-2340	224	7	our	our	PRON
app01-2340	224	8	mode	mode	NOUN
app01-2340	224	9	is	be	AUX
app01-2340	224	10	due	due	ADJ
app01-2340	224	11	to	to	ADP
app01-2340	224	12	the	the	DET
app01-2340	224	13	merging	merging	NOUN
app01-2340	224	14	of	of	ADP
app01-2340	224	15	black	black	ADJ
app01-2340	224	16	holes	hole	NOUN
app01-2340	224	17	at	at	ADP
app01-2340	224	18	a	a	DET
app01-2340	224	19	'	'	NUM
app01-2340	224	20	50	50	NUM
app01-2340	224	21	,	,	PUNCT
app01-2340	224	22	so	so	ADV
app01-2340	224	23	well	well	ADV
app01-2340	224	24	after	after	ADP
app01-2340	224	25	the	the	DET
app01-2340	224	26	formation	formation	NOUN
app01-2340	224	27	of	of	ADP
app01-2340	224	28	the	the	DET
app01-2340	224	29	cmb	cmb	NOUN
app01-2340	224	30	.	.	PUNCT
app01-2340	225	1	there	there	PRON
app01-2340	225	2	may	may	AUX
app01-2340	225	3	be	be	AUX
app01-2340	225	4	some	some	DET
app01-2340	225	5	effect	effect	NOUN
app01-2340	225	6	on	on	ADP
app01-2340	225	7	the	the	DET
app01-2340	225	8	propagation	propagation	NOUN
app01-2340	225	9	of	of	ADP
app01-2340	225	10	the	the	DET
app01-2340	225	11	cmb	cmb	PROPN
app01-2340	225	12	photons	photon	NOUN
app01-2340	225	13	,	,	PUNCT
app01-2340	225	14	but	but	CCONJ
app01-2340	225	15	we	we	PRON
app01-2340	225	16	have	have	AUX
app01-2340	225	17	not	not	PART
app01-2340	225	18	yet	yet	ADV
app01-2340	225	19	worked	work	VERB
app01-2340	225	20	out	out	ADP
app01-2340	225	21	the	the	DET
app01-2340	225	22	exact	exact	ADJ
app01-2340	225	23	nature	nature	NOUN
app01-2340	225	24	of	of	ADP
app01-2340	225	25	this	this	DET
app01-2340	225	26	effect	effect	NOUN
app01-2340	225	27	.	.	PUNCT
app01-2340	226	1	25	25	NUM
app01-2340	226	2	http://dx.doi.org/10.1103/physrevd.7.2333	http://dx.doi.org/10.1103/physrevd.7.2333	PROPN
app01-2340	226	3	http://dx.doi.org/10.1103/physrev.82.863	http://dx.doi.org/10.1103/physrev.82.863	PROPN
app01-2340	226	4	http://dx.doi.org/10.1103/physrevlett.96.091301	http://dx.doi.org/10.1103/physrevlett.96.091301	PROPN
app01-2340	226	5	http://dx.doi.org/10.1093/mnras/stu541	http://dx.doi.org/10.1093/mnras/stu541	INTJ
app01-2340	226	6	http://dx.doi.org/10.1146/annurev.astro.46.060407.145243	http://dx.doi.org/10.1146/annurev.astro.46.060407.145243	NOUN
app01-2340	226	7	http://dx.doi.org/10.1016/j.newar.2006.06.080	http://dx.doi.org/10.1016/j.newar.2006.06.080	PROPN
app01-2340	226	8	http://dx.doi.org/10.1038/nature08278	http://dx.doi.org/10.1038/nature08278	NOUN
app01-2340	226	9	http://dx.doi.org/10.1086/180451	http://dx.doi.org/10.1086/180451	PROPN
app01-2340	226	10	peter	peter	PROPN
app01-2340	226	11	l.	l.	PROPN
app01-2340	226	12	biermann	biermann	PROPN
app01-2340	226	13	,	,	PUNCT
app01-2340	226	14	benjamin	benjamin	PROPN
app01-2340	226	15	c.	c.	PROPN
app01-2340	226	16	harms	harm	VERB
app01-2340	226	17	jim	jim	PROPN
app01-2340	226	18	beall	beall	PROPN
app01-2340	226	19	:	:	PUNCT
app01-2340	226	20	can	can	AUX
app01-2340	226	21	you	you	PRON
app01-2340	226	22	comment	comment	VERB
app01-2340	226	23	on	on	ADP
app01-2340	226	24	the	the	DET
app01-2340	226	25	effect	effect	NOUN
app01-2340	226	26	these	these	DET
app01-2340	226	27	’	'	PUNCT
app01-2340	226	28	seed	seed	NOUN
app01-2340	226	29	’	'	PUNCT
app01-2340	226	30	black	black	ADJ
app01-2340	226	31	holes	hole	NOUN
app01-2340	226	32	have	have	VERB
app01-2340	226	33	on	on	ADP
app01-2340	226	34	galaxy	galaxy	NOUN
app01-2340	226	35	formation	formation	NOUN
app01-2340	226	36	?	?	PUNCT
app01-2340	227	1	benjamin	benjamin	PROPN
app01-2340	227	2	harms	harm	VERB
app01-2340	227	3	:	:	PUNCT
app01-2340	227	4	the	the	DET
app01-2340	227	5	main	main	ADJ
app01-2340	227	6	difference	difference	NOUN
app01-2340	227	7	between	between	ADP
app01-2340	227	8	our	our	PRON
app01-2340	227	9	model	model	NOUN
app01-2340	227	10	and	and	CCONJ
app01-2340	227	11	the	the	DET
app01-2340	227	12	’	'	PUNCT
app01-2340	227	13	big	big	ADJ
app01-2340	227	14	bang	bang	PROPN
app01-2340	227	15	’	'	PUNCT
app01-2340	227	16	theory	theory	NOUN
app01-2340	227	17	is	be	AUX
app01-2340	227	18	that	that	SCONJ
app01-2340	227	19	our	our	PRON
app01-2340	227	20	model	model	NOUN
app01-2340	227	21	allows	allow	VERB
app01-2340	227	22	for	for	ADP
app01-2340	227	23	large	large	ADJ
app01-2340	227	24	assemblies	assembly	NOUN
app01-2340	227	25	of	of	ADP
app01-2340	227	26	stars	star	NOUN
app01-2340	227	27	which	which	PRON
app01-2340	227	28	have	have	AUX
app01-2340	227	29	never	never	ADV
app01-2340	227	30	merged	merge	VERB
app01-2340	227	31	and	and	CCONJ
app01-2340	227	32	do	do	AUX
app01-2340	227	33	not	not	PART
app01-2340	227	34	have	have	VERB
app01-2340	227	35	an	an	DET
app01-2340	227	36	agn	agn	NOUN
app01-2340	227	37	,	,	PUNCT
app01-2340	227	38	which	which	PRON
app01-2340	227	39	have	have	AUX
app01-2340	227	40	apparently	apparently	ADV
app01-2340	227	41	been	be	AUX
app01-2340	227	42	observed	observe	VERB
app01-2340	227	43	.	.	PUNCT
app01-2340	228	1	26	26	NUM
app01-2340	228	2	introduction	introduction	NOUN
app01-2340	228	3	gravitational	gravitational	ADJ
app01-2340	228	4	solitons	soliton	NOUN
app01-2340	228	5	from	from	ADP
app01-2340	228	6	black	black	ADJ
app01-2340	228	7	hole	hole	NOUN
app01-2340	228	8	mergers	merger	VERB
app01-2340	228	9	five	five	NUM
app01-2340	228	10	-	-	PUNCT
app01-2340	228	11	dimensional	dimensional	ADJ
app01-2340	228	12	background	background	NOUN
app01-2340	228	13	model	model	NOUN
app01-2340	228	14	stimulate	stimulate	VERB
app01-2340	228	15	emission	emission	NOUN
app01-2340	228	16	of	of	ADP
app01-2340	228	17	energy	energy	NOUN
app01-2340	228	18	from	from	ADP
app01-2340	228	19	the	the	DET
app01-2340	228	20	strong	strong	ADJ
app01-2340	228	21	-	-	PUNCT
app01-2340	228	22	gravity	gravity	NOUN
app01-2340	228	23	brane	brane	NOUN
app01-2340	228	24	rate	rate	NOUN
app01-2340	228	25	of	of	ADP
app01-2340	228	26	energy	energy	NOUN
app01-2340	228	27	transfer	transfer	NOUN
app01-2340	228	28	equation	equation	NOUN
app01-2340	228	29	of	of	ADP
app01-2340	228	30	state	state	NOUN
app01-2340	228	31	comparison	comparison	NOUN
app01-2340	228	32	to	to	ADP
app01-2340	228	33	experimental	experimental	ADJ
app01-2340	228	34	limits	limit	NOUN
app01-2340	228	35	pulsar	pulsar	NOUN
app01-2340	228	36	timing	time	VERB
app01-2340	228	37	experiments	experiment	NOUN
app01-2340	228	38	conclusions	conclusion	NOUN