Computational Cosmic Censorship

• URL: http://arxiv.org/abs/2604.20170v1
• Date: Fri, 17 Apr 2026 16:54:49 GMT
• Title: Computational Cosmic Censorship
• Abstract summary: We show that the bulk, null, and joint contributions remain finite, while the Gibbons-Hawking-York term at the singularity diverges.<n>This suggests an operational form of censorship.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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