Barrow entropy is used to study Hayward-class black holes because the Hayward geometry features a quantum-regular interior, while Barrow entropy incorporates quantum-fractal corrections at the horizon. This combination allows for a unified investigation of both interior regularization and the microstructure of the horizon in black hole thermodynamics. The temperature initially decreases to a minimum at a finite horizon radius, then increases again during evaporation, demonstrating a late-stage heating process and suggesting the formation of a stable Planck-scale remnant. In cases of stronger fractalization, a near-constant temperature plateau emerges before the remnant forms, indicating that quantum-geometric roughness helps stabilize the evaporation process. Additionally, the Gibbs free energy exhibits maxima and minima, becoming multi-valued with respect to temperature. This behavior signals the presence of multiple phases and transitions. The temperature–pressure curve shows a loop, indicating several inversion points during Joule-Thomson expansion. The Ruppeiner Ricci scalar reveals divergence lines, which signify enhanced microscopic interactions and multiple critical points due to the effects of a fractal horizon.
Biswas et al. (Wed,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: