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arXiv · 1904.11599

Quantum thermodynamics in the interior of a Schwarzschild B-H

Juan Ignacio Musmarra·Mauricio Bellini·Mariano Anabitarte
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Abstract

We study the interior of a Schwarzschild Black-Hole (B-H) using Relativistic Quantum Geometry described in \cite{rb} and \cite{rb1}. We found discrete energy levels for a scalar field from a polynomial condition for Heun Confluent functions expanded around the Schwarzschild radius. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space-time, in the form: $E_n\, r_{sh,n}=\hbar/2$. Temperature, entropy and the B-H mass are dependent on the number of states in the B-H, such that the Bekenstein-Hawking (BH) results are obtained in a limit case.

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Juan Ignacio Musmarra, Mauricio Bellini, Mariano Anabitarte. 2019-12-09. Quantum thermodynamics in the interior of a Schwarzschild B-H. https://doi.org/10.1088/1402-4896%2Fabd203

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