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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2507.05363 |
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| _version_ | 1866918518871556096 |
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| author | Gupta, Divij |
| author_facet | Gupta, Divij |
| contents | Recent work by Headrick, Sasieta and myself provides an extension of the HRT formula for asymptotically flat spacetimes. I use this formula to construct a holographic model of black hole evaporation in four-dimensional asymptotically flat spacetimes using Brill-Lindquist (BL) wormholes. The wormhole is interpreted via ER=EPR to represent the entanglement geometry between an evaporating black hole and baths into which the Hawking radiation is collected. Applying HRT, I compute the entanglement entropy by numerically computing the areas of the minimal surfaces, which is shown to obey the Page curve, consistent with information conservation. Numerical analysis is done for both three and four-boundary BL wormholes ($n=3,4$). Index-1 surfaces in the wormhole interior are interpreted as the candidate bulges involved in the python's lunch conjecture (PLC), and their areas are used to compute the restricted complexity $\mathcal{C}$ of decoding the Hawking radiation. The results are compared to the time-dependent predictions of the PLC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05363 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Evaporating universes Gupta, Divij High Energy Physics - Theory General Relativity and Quantum Cosmology Recent work by Headrick, Sasieta and myself provides an extension of the HRT formula for asymptotically flat spacetimes. I use this formula to construct a holographic model of black hole evaporation in four-dimensional asymptotically flat spacetimes using Brill-Lindquist (BL) wormholes. The wormhole is interpreted via ER=EPR to represent the entanglement geometry between an evaporating black hole and baths into which the Hawking radiation is collected. Applying HRT, I compute the entanglement entropy by numerically computing the areas of the minimal surfaces, which is shown to obey the Page curve, consistent with information conservation. Numerical analysis is done for both three and four-boundary BL wormholes ($n=3,4$). Index-1 surfaces in the wormhole interior are interpreted as the candidate bulges involved in the python's lunch conjecture (PLC), and their areas are used to compute the restricted complexity $\mathcal{C}$ of decoding the Hawking radiation. The results are compared to the time-dependent predictions of the PLC. |
| title | Evaporating universes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.05363 |