2025/02/04 by Phuwadon Chunaksorn, Chunaksorn, Phuwadon, Ratchaphat Nakarachinda +3 · 2 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Model Reduction and Neural Networks #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.2502.02522
openalex publication_date 2025/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.