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Title: A holographic model for black hole complementarity

Abstract

Here, we explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holo-graphically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are comple-mentary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.

Authors:
 [1];  [2]
  1. Brown Univ., Providence, RI (United States). Dept. of Physics
  2. Univ. of Iceland, Reykjavik (Iceland). Science Inst.; Stockholm Univ. (Sweden). Oskar Klein Centre for Cosmoparticle Physics, AlbaNova Univ. Centre, Dept. of Physics
Publication Date:
Research Org.:
Brown Univ., Providence, RI (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1358553
Grant/Contract Number:
SC0010010
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 12; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT correspondence; black holes; models of quantum gravity

Citation Formats

Lowe, David A., and Thorlacius, Larus. A holographic model for black hole complementarity. United States: N. p., 2016. Web. doi:10.1007/JHEP12(2016)024.
Lowe, David A., & Thorlacius, Larus. A holographic model for black hole complementarity. United States. doi:10.1007/JHEP12(2016)024.
Lowe, David A., and Thorlacius, Larus. 2016. "A holographic model for black hole complementarity". United States. doi:10.1007/JHEP12(2016)024. https://www.osti.gov/servlets/purl/1358553.
@article{osti_1358553,
title = {A holographic model for black hole complementarity},
author = {Lowe, David A. and Thorlacius, Larus},
abstractNote = {Here, we explore a version of black hole complementarity, where an approximate semiclassical effective field theory for interior infalling degrees of freedom emerges holo-graphically from an exact evolution of exterior degrees of freedom. The infalling degrees of freedom have a complementary description in terms of outgoing Hawking radiation and must eventually decohere with respect to the exterior Hamiltonian, leading to a breakdown of the semiclassical description for an infaller. Trace distance is used to quantify the difference between the complementary time evolutions, and to define a decoherence time. We propose a dictionary where the evolution with respect to the bulk effective Hamiltonian corresponds to mean field evolution in the holographic theory. In a particular model for the holographic theory, which exhibits fast scrambling, the decoherence time coincides with the scrambling time. The results support the hypothesis that decoherence of the infalling holographic state and disruptive bulk effects near the curvature singularity are comple-mentary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.},
doi = {10.1007/JHEP12(2016)024},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2016,
place = {United States},
year = 2016,
month =
}

Journal Article:
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  • String theory provides an example of the kind of apparent inconsistency that the [ital principle] [ital of] [ital black] [ital hole] [ital complementarity] deals with. To a freely infalling observer a string falling through a black hole horizon appears to be a Planck size object. To an outside observer the string and all the information it carries begin to spread as the string approache the horizon. In a time of order the information retention time'' it fills the entire area of the horizon.
  • Cited by 14
  • We propose a regular black hole whose inside generates a de Sitter space and then is finally frustrated into a singularity. It is a modified model which was suggested originally by Frolov, Markov, and Mukhanov. In our model, we could adjust a regular black hole so that its period before going into the extreme state is much longer than the information retention time. During this period an observer could exist who observes the information of the Hawking radiation, falls freely into the regular center of the black hole, and finally meets the free-falling information again. The existence of such anmore » observer implies that the complementary view may not be consistent with a regular black hole, and therefore, is not appropriate as a generic principle of black hole physics.« less
  • We study a simple version of the AdS/CFT correspondence, where operators have integer conformal dimensions. In this model, bulk causality follows from boundary analyticity, even in nontrivial black hole backgrounds that break the underlying conformal symmetry. This allows a natural set of quasilocal bulk observables to be constructed. Estimates of finite central charge corrections to semiclassical correlators are made. These corrections are used to determine the regime of validity of effective field theory in the bulk spacetime. The results are consistent with black hole complementarity.