From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes
We examine black hole thermodynamics within the framework of modified Rényi entropy and explore its implications in Modified Newtonian Dynamics (MOND), an extension of Newton's second law proposed to explain galaxy rotation curves without invoking dark matter. We conjecture that Tsallis entropy...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-07-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325003405 |
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| author | Everton M.C. Abreu Jorge Ananias Neto |
| author_facet | Everton M.C. Abreu Jorge Ananias Neto |
| author_sort | Everton M.C. Abreu |
| collection | DOAJ |
| description | We examine black hole thermodynamics within the framework of modified Rényi entropy and explore its implications in Modified Newtonian Dynamics (MOND), an extension of Newton's second law proposed to explain galaxy rotation curves without invoking dark matter. We conjecture that Tsallis entropy provides an exact description of Bekenstein–Hawking entropy, from which the modified Rényi entropy is derived. Using this formulation, we show that a MOND-like force law emerges naturally from entropic considerations. We also analyze the Bekenstein bound conjecture, which imposes an upper limit on the entropy of confined quantum systems, and verify its validity under the Rényi-modified framework for typical values of the deformation parameter λ. Furthermore, by invoking the Landauer principle, we obtain an expression for the mass loss due to black hole evaporation. These results suggest that modified Rényi statistics, originating from Tsallis entropy, provides a coherent and promising approach to gravitational dynamics and information-theoretic aspects of black hole physics. |
| format | Article |
| id | doaj-art-4efd49c5c6ef44fa9532673fa88860ee |
| institution | OA Journals |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-4efd49c5c6ef44fa9532673fa88860ee2025-08-20T01:52:18ZengElsevierPhysics Letters B0370-26932025-07-0186613957910.1016/j.physletb.2025.139579From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holesEverton M.C. Abreu0Jorge Ananias Neto1Physics Department, Universidade Federal Rural do Rio de Janeiro, RJ, Brazil; Applied Physics Graduation Program, Physics Institute, Universidade Federal do Rio de Janeiro, RJ, BrazilPhysics Department, Universidade Federal de Juiz de Fora, Juiz de Fora, MG, Brazil; Corresponding author.We examine black hole thermodynamics within the framework of modified Rényi entropy and explore its implications in Modified Newtonian Dynamics (MOND), an extension of Newton's second law proposed to explain galaxy rotation curves without invoking dark matter. We conjecture that Tsallis entropy provides an exact description of Bekenstein–Hawking entropy, from which the modified Rényi entropy is derived. Using this formulation, we show that a MOND-like force law emerges naturally from entropic considerations. We also analyze the Bekenstein bound conjecture, which imposes an upper limit on the entropy of confined quantum systems, and verify its validity under the Rényi-modified framework for typical values of the deformation parameter λ. Furthermore, by invoking the Landauer principle, we obtain an expression for the mass loss due to black hole evaporation. These results suggest that modified Rényi statistics, originating from Tsallis entropy, provides a coherent and promising approach to gravitational dynamics and information-theoretic aspects of black hole physics.http://www.sciencedirect.com/science/article/pii/S0370269325003405Tsallis entropyRényi entropyMOND theoryBekenstein bound conjectureLandauer principle |
| spellingShingle | Everton M.C. Abreu Jorge Ananias Neto From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes Physics Letters B Tsallis entropy Rényi entropy MOND theory Bekenstein bound conjecture Landauer principle |
| title | From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes |
| title_full | From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes |
| title_fullStr | From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes |
| title_full_unstemmed | From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes |
| title_short | From modified Tsallis–Rényi entropy to a MOND-like force law, Bekenstein bound, and Landauer principle for black holes |
| title_sort | from modified tsallis renyi entropy to a mond like force law bekenstein bound and landauer principle for black holes |
| topic | Tsallis entropy Rényi entropy MOND theory Bekenstein bound conjecture Landauer principle |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325003405 |
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