Computational Cosmic Censorship
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910156928843776 |
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| author | Altunkaynak, Fuat Berkin |
| author_facet | Altunkaynak, Fuat Berkin |
| contents | We propose a computational formulation of weak cosmic censorship in AdS/CFT. Using the complexity=action proposal, we evaluate the Wheeler-DeWitt action for overcharged Reissner- Nordström-AdS spacetimes containing naked timelike singularities. We show that the bulk, null, and joint contributions remain finite, while the Gibbons-Hawking-York term at the singularity diverges. More generally, for any static and spherically symmetric geometry with near-origin scaling $f(r)\sim a r^{-p}$, the singularity term diverges whenever $p>D-3$. This implies divergent holographic complexity and, even relative to the logarithmically divergent extremal charged sector, leaves an infinite complexity gap. This suggests an operational form of censorship: naked singularities are excluded not by geometry alone, but by an infinite computational cost arising from their local near-singularity structure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20170 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Computational Cosmic Censorship Altunkaynak, Fuat Berkin High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics We propose a computational formulation of weak cosmic censorship in AdS/CFT. Using the complexity=action proposal, we evaluate the Wheeler-DeWitt action for overcharged Reissner- Nordström-AdS spacetimes containing naked timelike singularities. We show that the bulk, null, and joint contributions remain finite, while the Gibbons-Hawking-York term at the singularity diverges. More generally, for any static and spherically symmetric geometry with near-origin scaling $f(r)\sim a r^{-p}$, the singularity term diverges whenever $p>D-3$. This implies divergent holographic complexity and, even relative to the logarithmically divergent extremal charged sector, leaves an infinite complexity gap. This suggests an operational form of censorship: naked singularities are excluded not by geometry alone, but by an infinite computational cost arising from their local near-singularity structure. |
| title | Computational Cosmic Censorship |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2604.20170 |