Constraints on the resolution of spacetime singularities
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917050061946880 |
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| author | Shahbazi-Moghaddam, Arvin |
| author_facet | Shahbazi-Moghaddam, Arvin |
| contents | What happens at spacetime singularities is poorly understood. The Penrose-Wall singularity theorem constrains possible scenarios, but until recently its key assumption--the generalized second law (GSL)--had only been proven perturbatively, severely limiting this application. We highlight that recent progress enables a proof of the GSL in holographic brane-world models, valid non-perturbatively at the species scale $cG$ (with $c$ the number of matter fields and $G$ Newton's constant). This enables genuine constraints: an outer-trapped surface in the Einstein gravity regime implies geodesic incompleteness non-perturbatively at the species scale. Conversely, any genuine resolution must evade Penrose's criteria. We illustrate both possibilities with explicit examples: the classical BTZ black hole evolves to a more severe singularity, while a null singularity on the Rindler horizon is resolved, both by species-scale effects. Subject to the GSL, these constraints on singularity resolution apply beyond brane-worlds: namely, in any theory with a geometric UV scale--roughly, where the metric remains well-defined but classical Einstein gravity breaks down. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25927 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constraints on the resolution of spacetime singularities Shahbazi-Moghaddam, Arvin High Energy Physics - Theory General Relativity and Quantum Cosmology What happens at spacetime singularities is poorly understood. The Penrose-Wall singularity theorem constrains possible scenarios, but until recently its key assumption--the generalized second law (GSL)--had only been proven perturbatively, severely limiting this application. We highlight that recent progress enables a proof of the GSL in holographic brane-world models, valid non-perturbatively at the species scale $cG$ (with $c$ the number of matter fields and $G$ Newton's constant). This enables genuine constraints: an outer-trapped surface in the Einstein gravity regime implies geodesic incompleteness non-perturbatively at the species scale. Conversely, any genuine resolution must evade Penrose's criteria. We illustrate both possibilities with explicit examples: the classical BTZ black hole evolves to a more severe singularity, while a null singularity on the Rindler horizon is resolved, both by species-scale effects. Subject to the GSL, these constraints on singularity resolution apply beyond brane-worlds: namely, in any theory with a geometric UV scale--roughly, where the metric remains well-defined but classical Einstein gravity breaks down. |
| title | Constraints on the resolution of spacetime singularities |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.25927 |