New Quantum-Corrected Black Hole Solutions from Loop Quantum Gravity and Their Canonical Ensemble Analysis

This study investigates quantum-corrected black hole solutions derived from Loop Quantum Gravity (LQG) and explores their thermodynamic properties using the canonical ensemble framework. By incorporating higher-order quantum correction terms into classical black hole metrics, we construct regular black hole solutions that eliminate classical singularities. Advanced canonical ensemble techniques, including path integral formulations and stability analyses, are employed to examine the thermodynamic stability, phase transitions, and critical phenomena of these quantum-corrected black holes. The results indicate that quantum corrections significantly alter the thermodynamic landscape, introducing novel phase structures and stability conditions. Additionally, numerical simulations are conducted to visualize the behavior of thermodynamic quantities under varying quantum correction parameters. This work provides deeper insights into the interplay between quantum gravity effects and black hole thermodynamics, contributing to the broader understanding of quantum gravitational phenomena in strong gravitational fields.