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arXiv · 2404.00773

Island Paradigm and Information Recovery from Radiation

Krishna Jalan·Roji Pius·Manish Ramchander
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Abstract

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.

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Krishna Jalan, Roji Pius, Manish Ramchander. 2024-03-31. Island Paradigm and Information Recovery from Radiation. https://arxiv.org/abs/2404.00773

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