A new look at the C 0-formulation of the strong cosmic censorship conjecture
We examine the C ^0 -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the expected geometry of a hyperbolic black hole, the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2022-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac6e81 |
| _version_ | 1797748459873239040 |
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| author | Aditya Iyer Alexander Y Yosifov Vlatko Vedral |
| author_facet | Aditya Iyer Alexander Y Yosifov Vlatko Vedral |
| author_sort | Aditya Iyer |
| collection | DOAJ |
| description | We examine the C ^0 -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the expected geometry of a hyperbolic black hole, the metric is C ^0 -extendable to a larger Lorentzian manifold across the Cauchy horizon. To demonstrate the pathologies associated with a hypothetical validity of the C ^0 SCC, we prove it violates the ‘complexity = volume’ conjecture for a low-temperature hyperbolic AdS _d _+1 black hole dual to a CFT living on a ( d − 1)-dimensional hyperboloid H _d _−1 , where in order to preserve the gauge/gravity duality we impose a lower bound on the interior metric extendability of order the classical recurrence time. |
| first_indexed | 2024-03-12T16:05:04Z |
| format | Article |
| id | doaj.art-ec8860e562e94840b963fc06df421feb |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:05:04Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-ec8860e562e94840b963fc06df421feb2023-08-09T14:25:06ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124505305010.1088/1367-2630/ac6e81A new look at the C 0-formulation of the strong cosmic censorship conjectureAditya Iyer0Alexander Y Yosifov1https://orcid.org/0000-0002-6545-1174Vlatko Vedral2Department of Physics, University of Oxford , Parks Road, Oxford OX1 3PU, United KingdomSpace Research and Technology Institute , Bulgarian Academy of Sciences, Akad. G. Bonchev Street, Building 1, Sofia 1113, BulgariaDepartment of Physics, University of Oxford , Parks Road, Oxford OX1 3PU, United Kingdom; Centre for Quantum Technologies, National University of Singapore , 3 Science Drive 2, 117543 Singapore, Singapore; Department of Physics, National University of Singapore , 2 Science Drive 3, Singapore 117542, SingaporeWe examine the C ^0 -formulation of the strong cosmic censorship conjecture (SCC) from a quantum complexity-theoretic perspective and argue that for generic black hole parameters as initial conditions for the Einstein equations, corresponding to the expected geometry of a hyperbolic black hole, the metric is C ^0 -extendable to a larger Lorentzian manifold across the Cauchy horizon. To demonstrate the pathologies associated with a hypothetical validity of the C ^0 SCC, we prove it violates the ‘complexity = volume’ conjecture for a low-temperature hyperbolic AdS _d _+1 black hole dual to a CFT living on a ( d − 1)-dimensional hyperboloid H _d _−1 , where in order to preserve the gauge/gravity duality we impose a lower bound on the interior metric extendability of order the classical recurrence time.https://doi.org/10.1088/1367-2630/ac6e81strong cosmic censorshipblack holesquantum computational complexity |
| spellingShingle | Aditya Iyer Alexander Y Yosifov Vlatko Vedral A new look at the C 0-formulation of the strong cosmic censorship conjecture New Journal of Physics strong cosmic censorship black holes quantum computational complexity |
| title | A new look at the C 0-formulation of the strong cosmic censorship conjecture |
| title_full | A new look at the C 0-formulation of the strong cosmic censorship conjecture |
| title_fullStr | A new look at the C 0-formulation of the strong cosmic censorship conjecture |
| title_full_unstemmed | A new look at the C 0-formulation of the strong cosmic censorship conjecture |
| title_short | A new look at the C 0-formulation of the strong cosmic censorship conjecture |
| title_sort | new look at the c 0 formulation of the strong cosmic censorship conjecture |
| topic | strong cosmic censorship black holes quantum computational complexity |
| url | https://doi.org/10.1088/1367-2630/ac6e81 |
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