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- W3157377169 abstract "This paper studies the relation between different measures of entropy in a doubly-holographic model of a black hole coupled to a bath. The model relates a d+1-dimensional AdS bulk to two d-dimensional formulations - the brane and the boundary perspective. It is argued that the homology constraint for Ryu-Takayanagi surfaces, whose area computes von Neumann entropy, depends on which of the d-dimensional perspectives is taken. As a consequence it follows that the von Neumann entropy in the boundary perspective equals the fine-grained entropy in the brane perspective, which is computed using the island prescription. Similarly, the von Neumann entropy in the brane description equals a coarse grained entropy in the boundary perspective. Simple operators which act on the radiation are identical in both formulations, while complex operators map non-locally. A simple toy model is introduced to demonstrate how such a map between two descriptions of the system gives rise to the island formula and wormholes. Lastly, it is conjectured that black hole complementarity is realized analogously to the doubly-holographic situation. A black hole can either be described as quantum gravitational object with structure near the horizon, or as a semi-classical black hole which respects the equivalence principle but never releases its information. The latter description is only valid if we allow observers to only act with sufficiently simple operators. Information is never cloned in either description." @default.
- W3157377169 created "2021-05-10" @default.
- W3157377169 creator A5004116504 @default.
- W3157377169 date "2021-05-03" @default.
- W3157377169 modified "2023-09-27" @default.
- W3157377169 title "Double Holography as a Model for Black Hole Complementarity" @default.
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