Spin-dependent quantum corrections to Schwarzschild black hole thermodynamics with barrow entropy and GUP
Erdem Sucu, İzzet SAKALLI, Yusuf Sucu
Abstract
In this paper, we investigate quantum gravitational corrections to Schwarzschild black hole thermodynamics by combining Barrow entropy with spin-dependent effects of the generalized uncertainty principle (GUP) within the tunneling formalism. By incorporating Zitterbewegung dynamics into the deformed Hamilton–Jacobi equation, we derive a spin-sensitive modification of the Hawking temperature that depends explicitly on the spin of the particle [Formula: see text] and the GUP parameter [Formula: see text]. This corrected temperature is used to compute thermodynamic quantities in the extended phase-space framework, including internal energy, Helmholtz free energy, pressure, enthalpy, Gibbs potential, and heat capacity. Our analysis reveals that quantum deviations from the classical Schwarzschild behavior emerge only in the small-radius regime ([Formula: see text]), while semiclassical results are recovered at larger scales. The Barrow fractal parameter [Formula: see text] introduces additional modifications to the phase structure, producing local minima in the Gibbs potential that signal possible metastable remnant states. We examine the Joule–Thomson expansion to characterize the cooling-heating phase diagram and identify inversion curves where the thermal response changes qualitatively. The results show that higher-spin particles deepen the cooling regime and shift phase boundaries, indicating that the dominant emission channel during late-time evaporation influences the black hole’s approach to its final configuration. The combined action of [Formula: see text] suggests that spin-dependent quantum corrections play a decisive role in determining remnant masses and testing minimal-length scenarios in near-Planckian black holes.