Island Paradigm and Information Recovery from Radiation
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909672565374976 |
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| author | Jalan, Krishna Pius, Roji Ramchander, Manish |
| author_facet | Jalan, Krishna Pius, Roji Ramchander, Manish |
| contents | The island paradigm for an AdS$_2$ eternal black hole in the Hartle-Hawking state coupled to a finite temperature non-gravitating bath asserts that after the Page time the operators in the black hole interior can be reconstructed using the bath degrees of freedom. We demonstrate this assertion by consideing a special operator $\mathbb{U}_{bath}$ that has nontrivial action only on the bath degrees of freedom. We show via the gravitational Euclidean path integral analysis that though before the Page time $\mathbb{U}_{bath}$ does not translate the operators in the bath to the black hole interior, after the Page time it takes them to the black hole interior. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00773 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Island Paradigm and Information Recovery from Radiation Jalan, Krishna Pius, Roji Ramchander, Manish High Energy Physics - Theory The island paradigm for an AdS$_2$ eternal black hole in the Hartle-Hawking state coupled to a finite temperature non-gravitating bath asserts that after the Page time the operators in the black hole interior can be reconstructed using the bath degrees of freedom. We demonstrate this assertion by consideing a special operator $\mathbb{U}_{bath}$ that has nontrivial action only on the bath degrees of freedom. We show via the gravitational Euclidean path integral analysis that though before the Page time $\mathbb{U}_{bath}$ does not translate the operators in the bath to the black hole interior, after the Page time it takes them to the black hole interior. |
| title | Island Paradigm and Information Recovery from Radiation |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.00773 |