Black Hole Thermodynamics with Barrow Holographic Entropy: Non-perturbative Quantum Effects

The study investigates the thermodynamic properties of black holes by incorporating Barrow holographic entropy together with non-perturbative quantum corrections. This work extends the standard thermodynamic framework by introducing quantum-gravity-induced surface deformations parametrized by the Barrow exponent δ. Within this modified entropy formalism, we derive the corrected expressions for the Hawking temperature, heat capacity, and free energy, explicitly accounting for thermal fluctuations and non-perturbative quantum effects. The results indicate that the combined influence of Barrow entropy and quantum corrections enhances the stability of microscopic black holes and produces significant modifications to the Hawking-Page phase structure. These findings suggest that surface fractality, in conjunction with quantum gravitational corrections, may encode essential information about the microscopic degrees of freedom of spacetime and the dynamical evolution of black holes.