Quantum black hole–white hole entangled states
We investigate the quantum deformation of the Wheeler–DeWitt equation of a Schwarzchild black hole. Specifically, the quantum deformed black hole is a quantized model constructed from the quantum Heisenberg–Weyl Uq(h4) group. We show that the event horizon area and the mass are quantized, degenerate...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322001927 |
| _version_ | 1818474828635570176 |
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| author | S. Jalalzadeh |
| author_facet | S. Jalalzadeh |
| author_sort | S. Jalalzadeh |
| collection | DOAJ |
| description | We investigate the quantum deformation of the Wheeler–DeWitt equation of a Schwarzchild black hole. Specifically, the quantum deformed black hole is a quantized model constructed from the quantum Heisenberg–Weyl Uq(h4) group. We show that the event horizon area and the mass are quantized, degenerate, and bounded. The degeneracy of states indicates entangled quantum black hole/white hole states. Accordingly, quantum deformation provides a new framework to examine Einstein–Rosen wormhole solutions. Besides, we obtain the mass, the temperature, and the entropy of the q-deformed quantum Schwarzschild black hole. We find an upper bound on the mass of a black hole/white hole pair. Also, at the quantum deformation level, the entropy of the black hole contains three parts: the usual Bekenstein–Hawking entropy, the logarithmic term, and a Cube of usual black hole entropy. |
| first_indexed | 2024-04-14T04:41:28Z |
| format | Article |
| id | doaj.art-268137fafd2c4172b9e24956b6ea7a66 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-14T04:41:28Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-268137fafd2c4172b9e24956b6ea7a662022-12-22T02:11:37ZengElsevierPhysics Letters B0370-26932022-06-01829137058Quantum black hole–white hole entangled statesS. Jalalzadeh0Departamento de Física, Universidade Federal de Pernambuco, Recife, PE, 52171-900, BrazilWe investigate the quantum deformation of the Wheeler–DeWitt equation of a Schwarzchild black hole. Specifically, the quantum deformed black hole is a quantized model constructed from the quantum Heisenberg–Weyl Uq(h4) group. We show that the event horizon area and the mass are quantized, degenerate, and bounded. The degeneracy of states indicates entangled quantum black hole/white hole states. Accordingly, quantum deformation provides a new framework to examine Einstein–Rosen wormhole solutions. Besides, we obtain the mass, the temperature, and the entropy of the q-deformed quantum Schwarzschild black hole. We find an upper bound on the mass of a black hole/white hole pair. Also, at the quantum deformation level, the entropy of the black hole contains three parts: the usual Bekenstein–Hawking entropy, the logarithmic term, and a Cube of usual black hole entropy.http://www.sciencedirect.com/science/article/pii/S0370269322001927Quantum gravityQuantum groupBlack holeWhite holeWormholeBekenstein–Hawking entropy |
| spellingShingle | S. Jalalzadeh Quantum black hole–white hole entangled states Physics Letters B Quantum gravity Quantum group Black hole White hole Wormhole Bekenstein–Hawking entropy |
| title | Quantum black hole–white hole entangled states |
| title_full | Quantum black hole–white hole entangled states |
| title_fullStr | Quantum black hole–white hole entangled states |
| title_full_unstemmed | Quantum black hole–white hole entangled states |
| title_short | Quantum black hole–white hole entangled states |
| title_sort | quantum black hole white hole entangled states |
| topic | Quantum gravity Quantum group Black hole White hole Wormhole Bekenstein–Hawking entropy |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322001927 |
| work_keys_str_mv | AT sjalalzadeh quantumblackholewhiteholeentangledstates |