Cryptographic Censorship
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 subs...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2025
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| Online Access: | https://hdl.handle.net/1721.1/158276 |
| _version_ | 1826194985771335680 |
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| author | Engelhardt, Netta Folkestad, Åsmund Levine, Adam Verheijden, Evita Yang, Lisa |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Engelhardt, Netta Folkestad, Åsmund Levine, Adam Verheijden, Evita Yang, Lisa |
| author_sort | Engelhardt, Netta |
| collection | MIT |
| description | 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. |
| first_indexed | 2025-03-10T08:27:34Z |
| format | Article |
| id | mit-1721.1/158276 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-03-10T08:27:34Z |
| publishDate | 2025 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1582762025-02-27T19:33:29Z Cryptographic Censorship Engelhardt, Netta Folkestad, Åsmund Levine, Adam Verheijden, Evita Yang, Lisa Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory 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. 2025-02-27T19:33:27Z 2025-02-27T19:33:27Z 2025-01-23 2025-02-13T10:17:20Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/158276 Engelhardt, N., Folkestad, Å., Levine, A. et al. Cryptographic Censorship. J. High Energ. Phys. 2025, 122 (2025). PUBLISHER_CC en https://doi.org/10.1007/JHEP01(2025)122 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Engelhardt, Netta Folkestad, Åsmund Levine, Adam Verheijden, Evita Yang, Lisa Cryptographic Censorship |
| title | Cryptographic Censorship |
| title_full | Cryptographic Censorship |
| title_fullStr | Cryptographic Censorship |
| title_full_unstemmed | Cryptographic Censorship |
| title_short | Cryptographic Censorship |
| title_sort | cryptographic censorship |
| url | https://hdl.handle.net/1721.1/158276 |
| work_keys_str_mv | AT engelhardtnetta cryptographiccensorship AT folkestadasmund cryptographiccensorship AT levineadam cryptographiccensorship AT verheijdenevita cryptographiccensorship AT yanglisa cryptographiccensorship |