Thermodynamic phase transitions and quantum entropy corrections in the Simpson–Visser regular black hole.

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Title: Thermodynamic phase transitions and quantum entropy corrections in the Simpson–Visser regular black hole.
Authors: Joshi, Vinayak1 (AUTHOR) vinayak_j@ph.iitr.ac.in, Joshi, Ashok B.2,3 (AUTHOR) gen.rel.joshi@gmail.com
Source: European Physical Journal C -- Particles & Fields. May2026, Vol. 86 Issue 5, p1-12. 12p.
Subjects: Phase transitions, Quantum entropy, Hawking radiation, Black holes
Abstract: Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson–Visser "black-bounce" geometry as an elegant, analytically tractable framework, we explore the intricate thermodynamic behavior in such models. We demonstrate that this regular spacetime exhibits a critical instability, marked by a phase transition where the heat capacity is discontinuous. This transition signals a fundamental change in the black hole's evaporation state, which depends on the regularization parameter. Pushing beyond the semiclassical limit, we then derive the leading-order quantum corrections to the entropy via the Hamilton–Jacobi tunneling formalism. Our analysis provides a refined statistical basis for the entropy of non-singular spacetimes and offers a quantitative analysis of the nature of the black hole end-state. These results reveal that singularity resolution is not merely a geometric modification but a profound thermodynamic event, with direct implications for the stability and ultimate fate of evaporating black holes. [ABSTRACT FROM AUTHOR]
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Abstract:Regular black holes offer a compelling framework to explore the consequences of resolving the central singularity of standard black holes. Using the Simpson–Visser "black-bounce" geometry as an elegant, analytically tractable framework, we explore the intricate thermodynamic behavior in such models. We demonstrate that this regular spacetime exhibits a critical instability, marked by a phase transition where the heat capacity is discontinuous. This transition signals a fundamental change in the black hole's evaporation state, which depends on the regularization parameter. Pushing beyond the semiclassical limit, we then derive the leading-order quantum corrections to the entropy via the Hamilton–Jacobi tunneling formalism. Our analysis provides a refined statistical basis for the entropy of non-singular spacetimes and offers a quantitative analysis of the nature of the black hole end-state. These results reveal that singularity resolution is not merely a geometric modification but a profound thermodynamic event, with direct implications for the stability and ultimate fate of evaporating black holes. [ABSTRACT FROM AUTHOR]
ISSN:14346044
DOI:10.1140/epjc/s10052-026-15763-4