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 holographically 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 complementary descriptions of the same physics, which is an important step toward resolving the black hole information paradox.
 Authors:
 Brown Univ., Providence, RI (United States). Dept. of Physics
 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) (SC25)
 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 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdSCFT 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 holographically 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 complementary 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 =
}

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.

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