An operator algebraic approach to black hole information
Abstract We present an operator algebraic perspective on the black hole information problem. For a black hole after Page time that is entangled with the early radiation we formulate a version of the information puzzle that is well-posed in the G → 0 limit. We then give a description of the informati...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)207 |
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| author | Jeremy van der Heijden Erik Verlinde |
| author_facet | Jeremy van der Heijden Erik Verlinde |
| author_sort | Jeremy van der Heijden |
| collection | DOAJ |
| description | Abstract We present an operator algebraic perspective on the black hole information problem. For a black hole after Page time that is entangled with the early radiation we formulate a version of the information puzzle that is well-posed in the G → 0 limit. We then give a description of the information recovery protocol in terms of von Neumann algebras using elements of the Jones index theory of type II1 subfactors. The subsequent evaporation and recovery steps are represented by Jones’s basic construction, and an operation called the canonical shift. A central element in our description is the Jones projection, which leads to an entanglement swap and implements an operator algebraic version of a quantum teleportation protocol. These aspects are further elaborated on in a microscopic model based on type I algebras. Finally, we argue that in the emergent type III algebra the canonical shift may be interpreted as a spacetime translation and, hence, that at the microscopic level “translation = teleportation”. |
| format | Article |
| id | doaj-art-0f2d7356105c427daa9e92fb57e1d971 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-0f2d7356105c427daa9e92fb57e1d9712025-08-20T03:08:02ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025214610.1007/JHEP02(2025)207An operator algebraic approach to black hole informationJeremy van der Heijden0Erik Verlinde1Institute for Theoretical Physics, University of AmsterdamInstitute for Theoretical Physics, University of AmsterdamAbstract We present an operator algebraic perspective on the black hole information problem. For a black hole after Page time that is entangled with the early radiation we formulate a version of the information puzzle that is well-posed in the G → 0 limit. We then give a description of the information recovery protocol in terms of von Neumann algebras using elements of the Jones index theory of type II1 subfactors. The subsequent evaporation and recovery steps are represented by Jones’s basic construction, and an operation called the canonical shift. A central element in our description is the Jones projection, which leads to an entanglement swap and implements an operator algebraic version of a quantum teleportation protocol. These aspects are further elaborated on in a microscopic model based on type I algebras. Finally, we argue that in the emergent type III algebra the canonical shift may be interpreted as a spacetime translation and, hence, that at the microscopic level “translation = teleportation”.https://doi.org/10.1007/JHEP02(2025)207AdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Jeremy van der Heijden Erik Verlinde An operator algebraic approach to black hole information Journal of High Energy Physics AdS-CFT Correspondence Black Holes |
| title | An operator algebraic approach to black hole information |
| title_full | An operator algebraic approach to black hole information |
| title_fullStr | An operator algebraic approach to black hole information |
| title_full_unstemmed | An operator algebraic approach to black hole information |
| title_short | An operator algebraic approach to black hole information |
| title_sort | operator algebraic approach to black hole information |
| topic | AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP02(2025)207 |
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