THERMODYNAMICS OF CHARGED GENERALIZED UNCERTAINTY PRINCIPLE BLACK HOLES

This research evaluates the event horizon, Hawking Temperature and the entropy of Generalized Uncertainty Principle (GUP) modified charged quantum black holes, as they evaporate in accordance with Hawking Radiation. In order to resolve the classical thermodynamic instabilities in the sub-Planckian regime, a self-dual version of the GUP in which the mass M, is replaced by M + 1/M, is applied to the Reissner-Nordström metric. In the large mass regime, the GUP modified temperature, T, increases as M_p decreases, reaching a maximum value at the Planck mass (M_p). Below this point, the temperature rapidly decreases to zero when M = 0. As the black hole’s electric charge increased, the peak temperature drops. Upon reaching the maximum charge Q_Max the temperature vanishes at the extremal mass, T_Extremal= 0 as approached from both small and large mass regimes. For Q > Q_Max the temperature profile splits into two separate, unphysical solutions. The implications of this research will deepen our comprehension of the quantum limit and black hole evaporation. The more extensive applications of the results from this research will replicate the dimensional reduction of the Schwarzschild GUP solution.