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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2508.07357 |
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| _version_ | 1866912531137691648 |
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| author | Barzi, F. Moumni, H. El Masmar, K. |
| author_facet | Barzi, F. Moumni, H. El Masmar, K. |
| contents | We explore the microstructure of asymptotically flat charged black holes through the lens of nonextensive Rényi statistics. A modified form of the Rényi entropy is proposed to incorporate compressibility effects, and geometrothermodynamics is applied within such a framework. Besides, by quantizing the black hole horizon area, we derive a microscopic description in terms of discrete degrees of freedom, with Rényi entropy providing a nonextensive generalization of the Bekenstein-Hawking entropy. We compute the Rényi partition function and probability distribution in the canonical ensemble, highlighting significant deviations from Boltzmann-Gibbs behavior at finite temperature due to nonextensive effects. The black hole undergoes a first-order Van der Waals-like phase transition between small and large configurations, characterized by discontinuities in entropy and latent heat, both of which are shown to depend on the number of area quanta. A critical threshold emerges beyond which the transition becomes athermal. Additionally, we establish a thermodynamic duality between charged-AdS black holes in Boltzmann-Gibbs statistics and charged-flat Rényi black holes, expressed via a conformal transformation of state variables. This duality extends naturally to higher dimensions. Our results provide new insights into the microstructure of black holes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Rényi Microstructural Aspects of Asymptotically Flat Charged Black Holes: A Novel Duality Barzi, F. Moumni, H. El Masmar, K. High Energy Physics - Theory We explore the microstructure of asymptotically flat charged black holes through the lens of nonextensive Rényi statistics. A modified form of the Rényi entropy is proposed to incorporate compressibility effects, and geometrothermodynamics is applied within such a framework. Besides, by quantizing the black hole horizon area, we derive a microscopic description in terms of discrete degrees of freedom, with Rényi entropy providing a nonextensive generalization of the Bekenstein-Hawking entropy. We compute the Rényi partition function and probability distribution in the canonical ensemble, highlighting significant deviations from Boltzmann-Gibbs behavior at finite temperature due to nonextensive effects. The black hole undergoes a first-order Van der Waals-like phase transition between small and large configurations, characterized by discontinuities in entropy and latent heat, both of which are shown to depend on the number of area quanta. A critical threshold emerges beyond which the transition becomes athermal. Additionally, we establish a thermodynamic duality between charged-AdS black holes in Boltzmann-Gibbs statistics and charged-flat Rényi black holes, expressed via a conformal transformation of state variables. This duality extends naturally to higher dimensions. Our results provide new insights into the microstructure of black holes. |
| title | On Rényi Microstructural Aspects of Asymptotically Flat Charged Black Holes: A Novel Duality |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.07357 |