Non-Locality induces Isometry and Factorisation in Holography
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915020452921344 |
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| author | Banerjee, Souvik Erdmenger, Johanna Karl, Jonathan |
| author_facet | Banerjee, Souvik Erdmenger, Johanna Karl, Jonathan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09616 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Locality induces Isometry and Factorisation in Holography Banerjee, Souvik Erdmenger, Johanna Karl, Jonathan High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Quantum Physics 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. |
| title | Non-Locality induces Isometry and Factorisation in Holography |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2411.09616 |