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Title: A holographic model for black hole complementarity

Journal Article · · Journal of High Energy Physics (Online)
 [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

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.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0010010
OSTI ID:
1358553
Journal Information:
Journal of High Energy Physics (Online), Vol. 2016, Issue 12; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

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