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A holographic model for black hole complementarity

A holographic model for black hole complementarity

Title: A holographic model for black hole complementarity
Author: Lowe, David A.
Thorlacius, Larus   orcid.org/0000-0002-8180-9607
Date: 2016-12
Language: English
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2016(12)
ISSN: 1126-6708
1029-8479 (eISSN)
DOI: 10.1007/JHEP12(2016)024
Subject: AdS-CFT correspondence; Black holes; Models of quantum gravity; Svarthol (stjörnufræði); Skammtafræði
URI: https://hdl.handle.net/20.500.11815/382

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Lowe, D. A., & Thorlacius, L. (2016). A holographic model for black hole complementarity. Journal of High Energy Physics, 2016(12), 24. doi:10.1007/jhep12(2016)024


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.


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