The third law of thermodynamics, non-extensivity, and energy definition in black hole physics

Abstract

Working in the framework of generalized statistics, the problem of establishing the third law of thermodynamics in the black hole physics is studied by focusing on Schwarzschild black hole which easily and clearly exposes the violation of this law in the common approach based on Bekenstein entropy. Additionally, it is addressed that some inconsistencies between the predictions of quantum field theory and thermodynamics about the black hole temperature may be reconciled by using the thermodynamics laws in order to broaden energy definition. It claims that thermodynamics should be employed as a powerful tool in looking for more comprehensive energy definitions in high-energy physics, still mysterious.

arXiv comment7 pages and 10 figures

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• Cosmological FLRW phase transitions and micro-structure under Kaniadakis statistics
• Generalized Entropy Implies Varying-G: Horizon Area Dependent Field Equations and Black Hole-Cosmology Coupling
• Entropic Gravity and Cosmology in Kaniadakis Statistics
• Do Black Holes With Generalized Entropy Violate Bekenstein Bound?
• H0 tension in Tsallis and Renyi statistics