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Non-extensive Statistical Mechanics and Black Hole Entropy From Quantum Geometry

2017/03/31 by Abhishek Majhi · 1 citation
Physics and Astronomy · #gr-qc #cond-mat.stat-mech

paper · pdf · doi:10.1016/j.physletb.2017.10.043

published as Physics Letters B 775 (2017) 32-36 · 6 pages, published version

arxiv created 2017/10/28 · arxiv updated 2017/10/31

Abstract

Using non-extensive statistical mechanics, the Bekenstein-Hawking area law is obtained from microstates of black holes in loop quantum gravity, for arbitrary real positive values of the Barbero-Immirzi parameter(γ). The arbitrariness of γ is encoded in the strength of the "bias" created in the horizon microstates through the coupling with the quantum geometric fields exterior to the horizon. An experimental determination of γ will fix this coupling, leaving out the macroscopic area of the black hole to be the only free quantity of the theory.

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