Bekenstein bound on black hole entropy in non-Gaussian statistics

2024/11/01 by Mehdi Shokri, Shokri, Mehdi · 2 citations
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Mathematical and Theoretical Analysis #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.2411.00694

openalex publication_date 2024/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Δ, q and κ, 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 β.

Cited by

• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• GUP Effective Metric Without GUP: Implications for the Sign of GUP Parameter and Quantum Bounce

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