Gravity as a mesoscopic system
Abstract We employ a probabilistic mesoscopic description to draw conceptual and quantitative analogies between Brownian motion and late-time fluctuations of thermal correlation functions in generic chaotic systems respecting ETH. In this framework, thermal correlation functions of ‘simple’ operator...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)097 |
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| _version_ | 1850189942346481664 |
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| author | Pietro Pelliconi Julian Sonner Herman Verlinde |
| author_facet | Pietro Pelliconi Julian Sonner Herman Verlinde |
| author_sort | Pietro Pelliconi |
| collection | DOAJ |
| description | Abstract We employ a probabilistic mesoscopic description to draw conceptual and quantitative analogies between Brownian motion and late-time fluctuations of thermal correlation functions in generic chaotic systems respecting ETH. In this framework, thermal correlation functions of ‘simple’ operators are described by stochastic processes, which are able to probe features of the microscopic theory only in a probabilistic sense. We apply this formalism to the case of semiclassical gravity in AdS3, showing that wormhole contributions can be naturally identified as moments of stochastic processes. We also point out a ‘Matryoshka doll’ recursive structure in which information is hidden in higher and higher moments, and which can be naturally justified within the stochastic framework. We then re-interpret the gravitational results from the boundary perspective, promoting the OPE data of the CFT to probability distributions. The outcome of this study shows that semiclassical gravity in AdS can be naturally interpreted as a mesoscopic description of quantum gravity, and a mesoscopic holographic duality can be framed as a moment-vs.-probability-distribution duality. |
| format | Article |
| id | doaj-art-01b8b857b86b4be4bd75233fe05f9c8b |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-01b8b857b86b4be4bd75233fe05f9c8b2025-08-20T02:15:25ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025412610.1007/JHEP04(2025)097Gravity as a mesoscopic systemPietro Pelliconi0Julian Sonner1Herman Verlinde2Department of Theoretical Physics, University of GenevaDepartment of Theoretical Physics, University of GenevaDepartment of Physics, Princeton UniversityAbstract We employ a probabilistic mesoscopic description to draw conceptual and quantitative analogies between Brownian motion and late-time fluctuations of thermal correlation functions in generic chaotic systems respecting ETH. In this framework, thermal correlation functions of ‘simple’ operators are described by stochastic processes, which are able to probe features of the microscopic theory only in a probabilistic sense. We apply this formalism to the case of semiclassical gravity in AdS3, showing that wormhole contributions can be naturally identified as moments of stochastic processes. We also point out a ‘Matryoshka doll’ recursive structure in which information is hidden in higher and higher moments, and which can be naturally justified within the stochastic framework. We then re-interpret the gravitational results from the boundary perspective, promoting the OPE data of the CFT to probability distributions. The outcome of this study shows that semiclassical gravity in AdS can be naturally interpreted as a mesoscopic description of quantum gravity, and a mesoscopic holographic duality can be framed as a moment-vs.-probability-distribution duality.https://doi.org/10.1007/JHEP04(2025)097AdS-CFT CorrespondenceBlack HolesField Theories in Lower DimensionsBlack Holes in String Theory |
| spellingShingle | Pietro Pelliconi Julian Sonner Herman Verlinde Gravity as a mesoscopic system Journal of High Energy Physics AdS-CFT Correspondence Black Holes Field Theories in Lower Dimensions Black Holes in String Theory |
| title | Gravity as a mesoscopic system |
| title_full | Gravity as a mesoscopic system |
| title_fullStr | Gravity as a mesoscopic system |
| title_full_unstemmed | Gravity as a mesoscopic system |
| title_short | Gravity as a mesoscopic system |
| title_sort | gravity as a mesoscopic system |
| topic | AdS-CFT Correspondence Black Holes Field Theories in Lower Dimensions Black Holes in String Theory |
| url | https://doi.org/10.1007/JHEP04(2025)097 |
| work_keys_str_mv | AT pietropelliconi gravityasamesoscopicsystem AT juliansonner gravityasamesoscopicsystem AT hermanverlinde gravityasamesoscopicsystem |