Effects of a new extended uncertainty principle on Schwarzschild and Reissner–Nordström black holes thermodynamics

In this paper, we employ a new form of the extended uncertainty principle to investigate the thermal properties of the Schwarzschild and Reissner–Nordström. After we construct the formalism, we obtain the mass-temperature function for the Schwarzschild black hole. We follow a heuristic method to derive the entropy function after we obtained the heat capacity function. Then, we derive the mass-temperature and mass-charge-temperature functions of the Reissner–Nordström black hole in the new formalism. After we obtain the heat capacity and entropy functions, we present a comprehensive and comparative analysis of all these functions. We find that the deformation parameter changes drastically some of the thermodynamic function characteristics.

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