Non-Locality induces Isometry and Factorisation in Holography

• URL: http://arxiv.org/abs/2411.09616v1
• Date: Thu, 14 Nov 2024 17:36:01 GMT
• Title: Non-Locality induces Isometry and Factorisation in Holography
• Authors: Souvik Banerjee, Johanna Erdmenger, Jonathan Karl,
• Abstract summary: We consider time-shifted microstates of the eternal black hole. We show that the resulting Hilbert space for an eternal black hole in Anti-de Sitter space is finite-dimensional with a discrete energy spectrum.
• Score: 0.7373617024876725
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In holography, two manifestations of the black hole information paradox are given by the non-isometric nature of the bulk-boundary map and by the factorisation puzzle. By considering time-shifted microstates of the eternal black hole, we demonstrate that both these puzzles may be simultaneously resolved by taking into account non-local quantum corrections that correspond to wormholes arising from state averaging. This is achieved by showing, using a resolvent technique, that the resulting Hilbert space for an eternal black hole in Anti-de Sitter space is finite-dimensional with a discrete energy spectrum. The latter gives rise to a transition to a type I von Neumann algebra.

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