Physical Science International Journal

Abstract

From the perspective of quantum gravity research, since the archetypal quantum gravitational object, the black hole, was accidentally found function as a thermodynamic system, it is certainly natural to suggest that the secret of quantum gravity may lie in thermodynamic analysis. Until now, it was not possible to express the gravitational fine-grained entropy of a black hole using the rules of gravity. However, the black holes entropic information formula fills this gap by allowing a semi-classical gravitational approach to express the gravitational fine-grained entropy of black hole. The black holes entropic information formula calculates the entropy of Hawking radiation as the entangled information of the initial considered black hole, this down to the quantum level of the system, the degrees of freedom describing the black hole, and this independently of the Bekenstein-Hawking entropy area law, providing a sufficient microscopic description of how this entropy arises, showing that the process of black holes evaporation is consistent with the unitarity principle. Also, this approach avoids ultraviolet divergences. These perspectives must be understood like the fine-grained entropy formulas discovered by Ryu and Takayanagi. In fact, the black hole entropy turns out to be a special case of the Ryu-Takayanagi conjecture. The Ryu-Takayanagi formula being a general formula for the fine-grained entropy of gravity-coupled quantum systems. That put the accent on the emergence quantum gravity process through the fundamentality of the entangled quantum information.