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arXiv · 2411.09616

Non-Locality induces Isometry and Factorisation in Holography

Souvik Banerjee·Johanna Erdmenger·Jonathan Karl
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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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Souvik Banerjee, Johanna Erdmenger, Jonathan Karl. 2024-11-14. Non-Locality induces Isometry and Factorisation in Holography. https://arxiv.org/abs/2411.09616

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