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Nontriviality in Black Hole Thermodynamics: towards physically and mathematically rigorous foundation as phenomenology

2013/03/19 by Hiromi Saida, Saida, Hiromi
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1303.4462

Submitted to Prog.Theor.Exp.Phys.(PTEP), 35 pages, 7figures

arxiv created 2013/03/19 · openalex publication_date 2013/03/19 · arxiv updated 2013/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Comparing black hole thermodynamics with the axiomatic formulation of thermodynamics for laboratory systems, it is found that some basic assumptions (required by experimental facts) in laboratory thermodynamics do not hold for black hole thermodynamics. Hence, at present, it is not obvious whether black hole thermodynamics retains some crucial theorems of laboratory thermodynamics (e.g. Carnot's theorem, increase of entropy by arbitrary adiabatic process, and uniqueness of entropy) whose proofs use the basic assumptions which do not hold for black holes. This paper aims to clarify such nontriviality in black hole thermodynamics, and propose a suitable set of basic assumptions in black hole thermodynamics, which are regarded as the rigorous foundation of black hole thermodynamics as phenomenology.

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