Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics
In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking ra...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2013 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149217 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics / A. Dasgupta // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732532662927360 |
|---|---|
| author | Dasgupta, A. |
| author_facet | Dasgupta, A. |
| citation_txt | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics / A. Dasgupta // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking radiation is a consequence of a non-Hermitian term in the evolution operator, which is necessary for entropy production or depletion at the horizon. This non-unitary evolution is also rooted in formulations of irreversible physics.
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| first_indexed | 2025-12-07T19:32:11Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149217 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:32:11Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Dasgupta, A. 2019-02-19T18:58:05Z 2019-02-19T18:58:05Z 2013 Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics / A. Dasgupta // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 83C57; 81Q35; 81T20 DOI: http://dx.doi.org/10.3842/SIGMA.2013.013 https://nasplib.isofts.kiev.ua/handle/123456789/149217 In this article we explore the origin of black hole thermodynamics using semiclassical states in loop quantum gravity. We re-examine the case of entropy using a density matrix for a coherent state and describe correlations across the horizon due to SU(2) intertwiners. We further show that Hawking radiation is a consequence of a non-Hermitian term in the evolution operator, which is necessary for entropy production or depletion at the horizon. This non-unitary evolution is also rooted in formulations of irreversible physics. This paper is a contribution to the Special Issue “Loop Quantum Gravity and Cosmology”. The full collection is available at http://www.emis.de/journals/SIGMA/LQGC.html.
 This work was supported by NSERC and University of Lethbridge Research Fund. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics Article published earlier |
| spellingShingle | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics Dasgupta, A. |
| title | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
| title_full | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
| title_fullStr | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
| title_full_unstemmed | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
| title_short | Semiclassical Loop Quantum Gravity and Black Hole Thermodynamics |
| title_sort | semiclassical loop quantum gravity and black hole thermodynamics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149217 |
| work_keys_str_mv | AT dasguptaa semiclassicalloopquantumgravityandblackholethermodynamics |