Black hole thermodynamics via Tsallis statistical mechanics
Abstract An investigation of black hole thermodynamics based on Tsallis statistical mechanics is explored through the study of the thermodynamics of a gas system located near the horizon of a black hole. In spite of the difficulty in exploring black hole thermodynamics through statistical mechanics,...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14239-1 |
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| author | Phuwadon Chunaksorn Ratchaphat Nakarachinda Pitayuth Wongjun |
| author_facet | Phuwadon Chunaksorn Ratchaphat Nakarachinda Pitayuth Wongjun |
| author_sort | Phuwadon Chunaksorn |
| collection | DOAJ |
| description | Abstract An investigation of black hole thermodynamics based on Tsallis statistical mechanics is explored through the study of the thermodynamics of a gas system located near the horizon of a black hole. In spite of the difficulty in exploring black hole thermodynamics through statistical mechanics, the entropy of the nearby gas system is found to be proportional to the black hole’s horizon area using Gibbs–Boltzmann statistical mechanics. This allows us to study black hole thermodynamics by using statistical mechanics through the thermodynamic behaviors of the gas system. Since the entropy of the black hole is proportional to the horizon area, it is more suitable to use non-extensive statistical mechanics instead of the usual Gibbs–Boltzmann ones. In this work, the black hole entropy is derived based on Tsallis statistical mechanics, one of well-known non-extensive statistical mechanics. It is found that the black hole entropy gets a modification due to non-extensivity. By using such an entropy, the black hole can be stabilized due to the non-extensivity, and the bound on the non-extensive parameter is also determined. |
| format | Article |
| id | doaj-art-1fb133e665c549baacca4d617c149b85 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-1fb133e665c549baacca4d617c149b852025-08-20T03:53:57ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185512110.1140/epjc/s10052-025-14239-1Black hole thermodynamics via Tsallis statistical mechanicsPhuwadon Chunaksorn0Ratchaphat Nakarachinda1Pitayuth Wongjun2The Institute for Fundamental Study (IF), Naresuan UniversityDepartment of Mathematics and Computer Science, Faculty of Science, Chulalongkorn UniversityThe Institute for Fundamental Study (IF), Naresuan UniversityAbstract An investigation of black hole thermodynamics based on Tsallis statistical mechanics is explored through the study of the thermodynamics of a gas system located near the horizon of a black hole. In spite of the difficulty in exploring black hole thermodynamics through statistical mechanics, the entropy of the nearby gas system is found to be proportional to the black hole’s horizon area using Gibbs–Boltzmann statistical mechanics. This allows us to study black hole thermodynamics by using statistical mechanics through the thermodynamic behaviors of the gas system. Since the entropy of the black hole is proportional to the horizon area, it is more suitable to use non-extensive statistical mechanics instead of the usual Gibbs–Boltzmann ones. In this work, the black hole entropy is derived based on Tsallis statistical mechanics, one of well-known non-extensive statistical mechanics. It is found that the black hole entropy gets a modification due to non-extensivity. By using such an entropy, the black hole can be stabilized due to the non-extensivity, and the bound on the non-extensive parameter is also determined.https://doi.org/10.1140/epjc/s10052-025-14239-1 |
| spellingShingle | Phuwadon Chunaksorn Ratchaphat Nakarachinda Pitayuth Wongjun Black hole thermodynamics via Tsallis statistical mechanics European Physical Journal C: Particles and Fields |
| title | Black hole thermodynamics via Tsallis statistical mechanics |
| title_full | Black hole thermodynamics via Tsallis statistical mechanics |
| title_fullStr | Black hole thermodynamics via Tsallis statistical mechanics |
| title_full_unstemmed | Black hole thermodynamics via Tsallis statistical mechanics |
| title_short | Black hole thermodynamics via Tsallis statistical mechanics |
| title_sort | black hole thermodynamics via tsallis statistical mechanics |
| url | https://doi.org/10.1140/epjc/s10052-025-14239-1 |
| work_keys_str_mv | AT phuwadonchunaksorn blackholethermodynamicsviatsallisstatisticalmechanics AT ratchaphatnakarachinda blackholethermodynamicsviatsallisstatisticalmechanics AT pitayuthwongjun blackholethermodynamicsviatsallisstatisticalmechanics |