2020
DOI: 10.1103/physrevd.102.066005
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Gravity/ensemble duality

Abstract: For the first time, a gravitational calculation was recently shown to yield the Page curve for the entropy of Hawking radiation, consistent with unitary evolution. However, the calculation takes as essential input Hawking's result that the radiation entropy becomes large at late times. We call this apparent contradiction the state paradox. We exhibit its manifestations in standard and doubly holographic settings, with and without an external bath. We clarify which version(s) of the Ryu-Takayanagi prescription … Show more

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Cited by 127 publications
(129 citation statements)
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“…(6.46). 47 In fact, the match between the first line if eq. (6.47) and (19) in [2] is exact even after keeping all terms collected in their "constant".…”
Section: Jhep12(2020)025mentioning
confidence: 99%
“…(6.46). 47 In fact, the match between the first line if eq. (6.47) and (19) in [2] is exact even after keeping all terms collected in their "constant".…”
Section: Jhep12(2020)025mentioning
confidence: 99%
“…In the present context, the phase transition where the QEIs appear corresponds to the time when the thermal bath encodes (part of) the black hole interior, a manifestation of the ER = EPR principle [18]. See [16,17,[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] for recent explorations on the island formula in different black hole geometries and [33,[36][37][38][39][40][41][42][43][44][45][46][47][48] for more associated studies on information paradox and Page curve from various aspects.…”
Section: Jhep01(2021)065mentioning
confidence: 99%
“…48) so that the bound(3.43) is not yet saturated. Inserting (3.47) into (3.41), we obtain the phase boundary in an intermediate regime between(3.42) and(3.43).…”
mentioning
confidence: 99%
“…(30), then there is no real inconsistency. The idea that the gravitational path integral may in fact be computing some coarse-grained version of quantities, averaged over some microscopic information, has attracted much attention recently [58,[71][72][73][74][75][76][77][78][79][80][81][82][83][84][85]. But if so, what kind of average is it taking and over what ensemble?…”
Section: A Ensemble In the Global Gauge Constructionmentioning
confidence: 99%