Cryptographic Censorship
Abstract We formulate and take two large strides towards proving a quantum version of the weak cosmic censorship conjecture. We first prove “Cryptographic Censorship”: a theorem showing that when the time evolution operator of a holographic CFT is approximately pseudorandom (or Haar random) on some...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)122 |
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| _version_ | 1823863466538041344 |
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| author | Netta Engelhardt Åsmund Folkestad Adam Levine Evita Verheijden Lisa Yang |
| author_facet | Netta Engelhardt Åsmund Folkestad Adam Levine Evita Verheijden Lisa Yang |
| author_sort | Netta Engelhardt |
| collection | DOAJ |
| description | Abstract We formulate and take two large strides towards proving a quantum version of the weak cosmic censorship conjecture. We first prove “Cryptographic Censorship”: a theorem showing that when the time evolution operator of a holographic CFT is approximately pseudorandom (or Haar random) on some code subspace, then there must be an event horizon in the corresponding bulk dual. This result provides a general condition that guarantees (in finite time) event horizon formation, with minimal assumptions about the global spacetime structure. Our theorem relies on an extension of a recent quantum learning no-go theorem and is proved using new techniques of pseudorandom measure concentration. To apply this result to cosmic censorship, we separate singularities into classical, semi-Planckian, and Planckian types. We illustrate that classical and semi-Planckian singularities are compatible with approximately pseudorandom CFT time evolution; thus, if such singularities are indeed approximately pseudorandom, by Cryptographic Censorship, they cannot exist in the absence of event horizons. This result provides a sufficient condition guaranteeing that seminal holographic results on quantum chaos and thermalization, whose general applicability relies on typicality of horizons, will not be invalidated by the formation of naked singularities in AdS/CFT. |
| format | Article |
| id | doaj-art-662209a9563c45fa89eb47e7df827feb |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-662209a9563c45fa89eb47e7df827feb2025-02-09T12:07:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025115810.1007/JHEP01(2025)122Cryptographic CensorshipNetta Engelhardt0Åsmund Folkestad1Adam Levine2Evita Verheijden3Lisa Yang4Center for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyCenter for Theoretical Physics, Massachusetts Institute of TechnologyAbstract We formulate and take two large strides towards proving a quantum version of the weak cosmic censorship conjecture. We first prove “Cryptographic Censorship”: a theorem showing that when the time evolution operator of a holographic CFT is approximately pseudorandom (or Haar random) on some code subspace, then there must be an event horizon in the corresponding bulk dual. This result provides a general condition that guarantees (in finite time) event horizon formation, with minimal assumptions about the global spacetime structure. Our theorem relies on an extension of a recent quantum learning no-go theorem and is proved using new techniques of pseudorandom measure concentration. To apply this result to cosmic censorship, we separate singularities into classical, semi-Planckian, and Planckian types. We illustrate that classical and semi-Planckian singularities are compatible with approximately pseudorandom CFT time evolution; thus, if such singularities are indeed approximately pseudorandom, by Cryptographic Censorship, they cannot exist in the absence of event horizons. This result provides a sufficient condition guaranteeing that seminal holographic results on quantum chaos and thermalization, whose general applicability relies on typicality of horizons, will not be invalidated by the formation of naked singularities in AdS/CFT.https://doi.org/10.1007/JHEP01(2025)122AdS-CFT CorrespondenceBlack HolesSpacetime Singularities |
| spellingShingle | Netta Engelhardt Åsmund Folkestad Adam Levine Evita Verheijden Lisa Yang Cryptographic Censorship Journal of High Energy Physics AdS-CFT Correspondence Black Holes Spacetime Singularities |
| title | Cryptographic Censorship |
| title_full | Cryptographic Censorship |
| title_fullStr | Cryptographic Censorship |
| title_full_unstemmed | Cryptographic Censorship |
| title_short | Cryptographic Censorship |
| title_sort | cryptographic censorship |
| topic | AdS-CFT Correspondence Black Holes Spacetime Singularities |
| url | https://doi.org/10.1007/JHEP01(2025)122 |
| work_keys_str_mv | AT nettaengelhardt cryptographiccensorship AT asmundfolkestad cryptographiccensorship AT adamlevine cryptographiccensorship AT evitaverheijden cryptographiccensorship AT lisayang cryptographiccensorship |