Four Quantum Conservation Laws on Black Hole Equilibrium Radiation Process and Quantum Black Hole Entropy

TL;DR

This paper generalizes the classical thermodynamic law for Kerr-Newmann black holes to a quantum form, deriving four quantum conservation laws during black hole radiation and reaffirming the Bekenstein-Hawking entropy relation.

Contribution

It introduces four quantum conservation laws for black hole radiation and connects classical black hole entropy to quantum entropy of internal field quanta.

Findings

Derivation of four quantum conservation laws for black hole radiation

Recovery of Bekenstein-Hawking entropy relation S=A/4

Black hole entropy linked to quantum entropy of internal field quanta

Abstract

The classical first law of thermodynamic for Kerr-Newmann black hole (KNBH) is generalized to that in quantum form on event horizon. Then four quantum conservation laws on the KNBH equilibrium radiation process are derived, and Bekenstein-Hawking's relation S=A/4 is recovered. It can be argued that the classical entropy of black hole arise from the quantum entropy of field quanta or quasi-particles inside the hole.