Thermodynamic properties and topological charge of a static black hole in loop quantum gravity

In this study, we explore the properties of a black hole model solved within the framework of loop quantum gravity, examining various aspects such as its thermodynamic behavior, quasi-normal modes, scattering, and topological characteristics. By determining the temperature and remnant mass, we establish a condition for the existence of the remnant mass. Additionally, using the shadow profile and fitting it to the EHT data, we derive upper and lower bounds for the model parameters. Our findings offer significant insight into the interplay between quantum effects and classical black hole physics. These results enhance our understanding of black hole thermodynamics and the nature of singularities, providing a valuable perspective on the potential unification of gravity and quantum mechanics.