TY - JOUR

T1 - Classical limit of black hole quantum N-portrait and BMS symmetry

AU - Dvali, Gia

AU - Gomez, Cesar

AU - Lüst, Dieter

N1 - Funding Information:
We like to thank I. Bakas, R. Isermann and S. Zell for useful discussions. The work of G.D. was supported by Humboldt Foundation under Alexander von Humboldt Professorship, by European Commission under ERC Advanced Grant 339169 “Selfcompletion” and by TRR 33 “The Dark Universe”. The work of C.G. was supported in part by Humboldt Foundation and by Grants: FPA 2009-07908 , CPAN ( CSD2007-00042 ) and by the ERC Advanced Grant 339169 “Selfcompletion”. The work of D.L. was supported by the ERC Advanced Grant 32004 “Strings and Gravity” and also by TRR 33 .
Publisher Copyright:
© 2015 The Authors.

PY - 2016/2/10

Y1 - 2016/2/10

N2 - Black hole entropy, denoted by N, in (semi-)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/. N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N=∞ gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the geometric meaning (if any) of the classical limit of this symmetry. We argue that the infinite- N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.

AB - Black hole entropy, denoted by N, in (semi-)classical limit is infinite. This scaling reveals a very important information about the qubit degrees of freedom that carry black hole entropy. Namely, the multiplicity of qubits scales as N, whereas their energy gap and their coupling as 1/. N. Such a behavior is indeed exhibited by Bogoliubov-Goldstone degrees of freedom of a quantum-critical state of N soft gravitons (a condensate or a coherent state) describing the black hole quantum portrait. They can be viewed as the Goldstone modes of a broken symmetry acting on the graviton condensate. In this picture Minkowski space naturally emerges as a coherent state of N=∞ gravitons of infinite wavelength and it carries an infinite entropy. In this paper we ask what is the geometric meaning (if any) of the classical limit of this symmetry. We argue that the infinite- N limit of Bogoliubov-Goldstone modes of critical graviton condensate is described by recently-discussed classical BMS super-translations broken by the black hole geometry. However, the full black hole information can only be recovered for finite N, since the recovery time becomes infinite in classical limit in which N is infinite.

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U2 - 10.1016/j.physletb.2015.11.073

DO - 10.1016/j.physletb.2015.11.073

M3 - Article

AN - SCOPUS:84949670418

SN - 0370-2693

VL - 753

SP - 173

EP - 177

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

ER -