Conformal Enhancement of Holographic Scaling in Black Hole Thermodynamics: A Near-Horizon Heat-Kernel Framework

Abstract

Standard thermodynamic treatments of quantum field theory in the presence of black-hole backgrounds reproduce the black hole entropy by usually specializing to the leading order of the heat-kernel or the high-temperature expansion. By contrast, this work develops a hybrid framework centered on geometric spectral asymptotics whereby these assumptions are shown to be unwarranted insofar as black hole thermodynamics is concerned. The approach--consisting of the concurrent use of near-horizon and heat-kernel asymptotic expansions--leads to a proof of the holographic scaling of the entropy as a universal feature driven by conformal quantum mechanics.

arXiv comment13 pages, JHEP style. Added section 3 in the new version and a few typos were corrected

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Cited by in corpus (5)

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• Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics
• Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
• Quantum aspects of spacetime: A quantum optics view of acceleration radiation and black holes