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arXiv · 2411.00694

Bekenstein bound on black hole entropy in non-Gaussian statistics

Mehdi Shokri
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Abstract

The Bekenstein bound, inspired by the physics of black holes, is introduced to constrain the entropy growth of a physical system down to the quantum level in the context of a generalized second law of thermodynamics. We first show that the standard Bekenstein bound is violated when the entropy of a Schwarzschild black hole is described in non-Gaussian statistics Barrow, Tsallis, and Kaniadakis due to the presence of the related indices $\Delta$, $q$ and $\kappa$, respectively. Then, by adding the GUP effects into the Bekenstein bound, we find that the generalized bound is satisfied in the context of the mentioned entropies through a possible connection between the entropies indices and the GUP parameter $\beta$.

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Mehdi Shokri. 2024-11-01. Bekenstein bound on black hole entropy in non-Gaussian statistics. https://arxiv.org/abs/2411.00694

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