Holographic description of closed FRW cosmologies and time-dependent ER=EPR
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| Format: | Preprint |
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2024
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| _version_ | 1866910388160823296 |
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| author | Rondeau, François |
| author_facet | Rondeau, François |
| contents | We build a covariant holographic entanglement entropy prescription for a class of closed FRW cosmologies, generalizing a recent holographic proposal in de Sitter space. Starting from the Bousso covariant entropy bound, we describe the location of two holographic screens associated with a pair of antipodal observers, and then state our holographic proposal. We then apply our prescription to compute the entanglement entropy of the two-screen and the single screen systems, focusing on the leading classical contributions of order $(G\hbar)^{-1}$. First, we show how the full spacetime is expected to be holographically encoded on the two screens. Second, we argue that the exterior region between the two screens behaves as an Einstein-Rosen bridge, arising from the entanglement between the holographic degrees of freedom as suggested by the ER=EPR conjecture. The entanglement between the two screens, or from the geometric point of view the area of the minimal extremal surface, varies during the cosmological evolution, hence entailing a time-dependent ER=EPR realization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_18914 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Holographic description of closed FRW cosmologies and time-dependent ER=EPR Rondeau, François High Energy Physics - Theory General Relativity and Quantum Cosmology We build a covariant holographic entanglement entropy prescription for a class of closed FRW cosmologies, generalizing a recent holographic proposal in de Sitter space. Starting from the Bousso covariant entropy bound, we describe the location of two holographic screens associated with a pair of antipodal observers, and then state our holographic proposal. We then apply our prescription to compute the entanglement entropy of the two-screen and the single screen systems, focusing on the leading classical contributions of order $(G\hbar)^{-1}$. First, we show how the full spacetime is expected to be holographically encoded on the two screens. Second, we argue that the exterior region between the two screens behaves as an Einstein-Rosen bridge, arising from the entanglement between the holographic degrees of freedom as suggested by the ER=EPR conjecture. The entanglement between the two screens, or from the geometric point of view the area of the minimal extremal surface, varies during the cosmological evolution, hence entailing a time-dependent ER=EPR realization. |
| title | Holographic description of closed FRW cosmologies and time-dependent ER=EPR |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.18914 |