2010/11/15 by Tamás S. Bíró, Tamas S. Biro, Biro, Tamas S. · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #Statistical Mechanics and Entropy #gr-qc #hep-ph
paper · pdf · doi:10.48550/arxiv.1011.3442
arxiv created 2010/11/15 · openalex publication_date 2010/11/15 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We point out that by considering the Hawking-Bekenstein entropy of Schwarzschild black hole horizons as a non-extensive Tsallis entropy, its additive formal logarithm, coinciding with the Renyi entropy, generates an equation of state with positive heat capacity above a threshold energy. Based on this, the edge of stability is conjectured to be trans-Planckian, i.e. being in the quantum range. From this conjecture an estimate arises for the q-parameter in the Renyi entropy, (q=2/pi2), also manifested in the canonical power-law distribution of high energy particles (q ~ 1.2 for quark matter).