Quantum thermodynamics in the interior of a Schwarzschild black-hole

JUAN IGNACIO MUSMARRA; MAURICIO BELLINI; MARIANO ANABITARTE

PHYSICA SCRIPTA - (Print)

IOP PUBLISHING LTD

Lugar: Londres; Año: 2021 vol. 96 p. 65304 - 65304

0031-8949

We study space-time back-reaction configuration in 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.