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| Format: | Preprint |
| Published: |
2023
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| Online Access: | https://arxiv.org/abs/2310.00320 |
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| _version_ | 1866912251032633344 |
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| author | Narayan, K. |
| author_facet | Narayan, K. |
| contents | We develop further the investigations in arXiv:2210.12963 [hep-th] on de Sitter space, extremal surfaces and time entanglement. We discuss the no-boundary de Sitter extremal surface areas as certain analytic continuations from $AdS$ while also amounting to space-time rotations. The structure of the extremal surfaces suggests a geometric picture of the time-entanglement or pseudo-entanglement wedge. We also study some entropy relations for multiple subregions. The analytic continuation suggests a heuristic Lewkowycz-Maldacena formulation of the extremal surface areas. In the bulk, this is now a replica formulation on the Wavefunction which suggests interpretation as pseudo-entropy. Finally we also discuss aspects of future-past entangled states and time evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_00320 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Further remarks on de Sitter space, extremal surfaces and time entanglement Narayan, K. High Energy Physics - Theory We develop further the investigations in arXiv:2210.12963 [hep-th] on de Sitter space, extremal surfaces and time entanglement. We discuss the no-boundary de Sitter extremal surface areas as certain analytic continuations from $AdS$ while also amounting to space-time rotations. The structure of the extremal surfaces suggests a geometric picture of the time-entanglement or pseudo-entanglement wedge. We also study some entropy relations for multiple subregions. The analytic continuation suggests a heuristic Lewkowycz-Maldacena formulation of the extremal surface areas. In the bulk, this is now a replica formulation on the Wavefunction which suggests interpretation as pseudo-entropy. Finally we also discuss aspects of future-past entangled states and time evolution. |
| title | Further remarks on de Sitter space, extremal surfaces and time entanglement |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.00320 |