Thermodynamic Phase Transitions and Quantum Entropy Corrections in the Simpson-Visser Regular Black Hole
arXiv:2512.07786 · doi:10.1140/epjc/s10052-026-15763-4
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.
12 pages, 5 figures, matches Eur. Phys. J. C published version
References in corpus (47)
- Hawking Radiation as Tunneling
- P-V criticality of charged AdS black holes
- Formation and evaporation of non-singular black holes
- Enthalpy and the Mechanics of AdS Black Holes
- Quantum Geometry and Black Hole Entropy
- Thermodynamical Aspects of Gravity: New insights
- Traversable wormholes: Some simple examples
- Logarithmic correction to the Bekenstein-Hawking entropy
- Primordial Black Holes
- Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
- Rotating regular black holes
- General Logarithmic Corrections to Black Hole Entropy
- Quantum Tunneling Beyond Semiclassical Approximation
- Generating rotating regular black hole solutions without complexification
- Notes on non-singular models of black holes
- Black-bounce to traversable wormhole
- A Secret Tunnel Through The Horizon
- Quasinormal modes and Strong Cosmic Censorship
- Entanglement Equilibrium and the Einstein Equation
- Information Loss
- Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
- Regular black hole metrics and the weak energy condition
- Universality of Quantum Entropy for Extreme Black Holes
- Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
- On the viability of regular black holes
- An improved estimate of black hole entropy in the quantum geometry approach
- Inner horizon instability and the unstable cores of regular black holes
- Avoiding singularities in Lorentzian-Euclidean black holes: the role of atemporality
- Thermodynamics of a class of regular black holes with a generalized uncertainty principle
- Vaidya spacetimes, black-bounces, and traversable wormholes
- Regular black holes with stable cores
- Regular black hole remnants and graviatoms with de Sitter interior as heavy dark matter candidates probing inhomogeneity of early universe
- Quasinormal modes and second order thermodynamic phase transition for Reissner-Nordström black hole
- Regularized Stable Kerr Black Hole: Cosmic Censorships, Shadow and Quasi-Normal Modes
- Regular Stringy Black Holes?
- Regular Black Holes: Towards a New Paradigm of Gravitational Collapse
- Quantum Gravity Evolution in the Hawking Radiation of a Rotating Regular Hayward Black Hole
- Phase transitions and Geometrothermodynamics of Regular black holes
- Remarks on non-singular black holes
- Thermodynamic Black Holes
- Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes
- All Possible Lightest Supersymmetric Particles in R-Parity Violating Minimal Supergravity Models
- Atemporality from Conservation Laws of Physics in Lorentzian-Euclidean Black Hole
- Thermodynamics and phase transition of rotating regular-de Sitter black holes
- Evaluation of physical properties of Kiselev like AdS spacetime in the context of gravity under the impact of quantum gravity
- Physical reinterpretation of heat capacity discontinuities for static black holes
- Thermodynamics of dyonic black holes in non-linear electrodynamics