Microscopic origin of the entropy of single-sided black holes
Abstract In this paper, we provide a state-counting derivation of the Bekenstein-Hawking entropy formula for single-sided black holes. We firstly articulate the concept of the black hole microstates. Then we construct explicit mircostates of single-sided black holes in (2+1)-dimensional spacetimes w...
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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)133 |
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| author | Hao Geng Yikun Jiang |
| author_facet | Hao Geng Yikun Jiang |
| author_sort | Hao Geng |
| collection | DOAJ |
| description | Abstract In this paper, we provide a state-counting derivation of the Bekenstein-Hawking entropy formula for single-sided black holes. We firstly articulate the concept of the black hole microstates. Then we construct explicit mircostates of single-sided black holes in (2+1)-dimensional spacetimes with a negative cosmological constant. These microstates are constructed by putting a Karch-Randall brane behind the black hole horizon. Their difference is described by different interior excitations which gravitationally backreact. We show that these microstates have nonperturbatively small overlaps with each other. As a result, we use this fact to give a state-counting derivation of the Bekenstein-Hawking entropy formula for single-sided black holes. At the end, we notice that there are no negative norm states in the resulting Hilbert space of the black hole microstates which in turn ensures unitarity. All calculations in this paper are analytic and can be easily generalized to higher spacetime dimensions. |
| format | Article |
| id | doaj-art-ece8c41f81c14cfeb3da4cc6a47f99e3 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj-art-ece8c41f81c14cfeb3da4cc6a47f99e32025-08-20T03:09:35ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025412910.1007/JHEP04(2025)133Microscopic origin of the entropy of single-sided black holesHao Geng0Yikun Jiang1Center for the Fundamental Laws of Nature, Harvard UniversityDepartment of Physics, Northeastern UniversityAbstract In this paper, we provide a state-counting derivation of the Bekenstein-Hawking entropy formula for single-sided black holes. We firstly articulate the concept of the black hole microstates. Then we construct explicit mircostates of single-sided black holes in (2+1)-dimensional spacetimes with a negative cosmological constant. These microstates are constructed by putting a Karch-Randall brane behind the black hole horizon. Their difference is described by different interior excitations which gravitationally backreact. We show that these microstates have nonperturbatively small overlaps with each other. As a result, we use this fact to give a state-counting derivation of the Bekenstein-Hawking entropy formula for single-sided black holes. At the end, we notice that there are no negative norm states in the resulting Hilbert space of the black hole microstates which in turn ensures unitarity. All calculations in this paper are analytic and can be easily generalized to higher spacetime dimensions.https://doi.org/10.1007/JHEP04(2025)133AdS-CFT CorrespondenceBlack HolesGauge-Gravity Correspondence |
| spellingShingle | Hao Geng Yikun Jiang Microscopic origin of the entropy of single-sided black holes Journal of High Energy Physics AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence |
| title | Microscopic origin of the entropy of single-sided black holes |
| title_full | Microscopic origin of the entropy of single-sided black holes |
| title_fullStr | Microscopic origin of the entropy of single-sided black holes |
| title_full_unstemmed | Microscopic origin of the entropy of single-sided black holes |
| title_short | Microscopic origin of the entropy of single-sided black holes |
| title_sort | microscopic origin of the entropy of single sided black holes |
| topic | AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP04(2025)133 |
| work_keys_str_mv | AT haogeng microscopicoriginoftheentropyofsinglesidedblackholes AT yikunjiang microscopicoriginoftheentropyofsinglesidedblackholes |