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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2511.02768 |
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| _version_ | 1866915647727861760 |
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| author | Silverman, Steven J. |
| author_facet | Silverman, Steven J. |
| contents | When Hawking radiation from a rotating or non-rotating black hole becomes sufficiently intense, its own stress energy can no longer be treated as a perturbation on a fixed background. In this regime the outgoing flux may generate an additional, transient trapping surf ace exterior to the original event horizon. Using a simple spherically symmetric semi classical model we demonstrate that strong outgoing null energy can create nested apparent horizons, a feature reminiscent of the Penrose process but mediated by quantum back reaction. The effect is illustrated using a smooth Vaidya type mass profile, and conditions for bifurcation and merger of horizons are derived. We further propose that the separation between nested horizons may obey a discrete quantization rule analogous to the Bohr Sommerfeld condition,suggesting a geometric route toward quantum-gravity discreteness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02768 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nested Apparent Horizons and Quantized Separation from Intense Hawking Backreaction Silverman, Steven J. General Relativity and Quantum Cosmology When Hawking radiation from a rotating or non-rotating black hole becomes sufficiently intense, its own stress energy can no longer be treated as a perturbation on a fixed background. In this regime the outgoing flux may generate an additional, transient trapping surf ace exterior to the original event horizon. Using a simple spherically symmetric semi classical model we demonstrate that strong outgoing null energy can create nested apparent horizons, a feature reminiscent of the Penrose process but mediated by quantum back reaction. The effect is illustrated using a smooth Vaidya type mass profile, and conditions for bifurcation and merger of horizons are derived. We further propose that the separation between nested horizons may obey a discrete quantization rule analogous to the Bohr Sommerfeld condition,suggesting a geometric route toward quantum-gravity discreteness. |
| title | Nested Apparent Horizons and Quantized Separation from Intense Hawking Backreaction |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.02768 |