On Special Re-quantization of a Black Hole

TL;DR

This paper develops a quantum framework for gravitational energy and momentum using teleparallel gravity, leading to a novel quantization of black hole mass based on graviton states.

Contribution

It introduces a second-quantization approach for gravitons in teleparallel gravity and derives a new quantization scheme for black hole mass.

Findings

Quantized gravitational energy and momentum expressions derived.

A new form of black hole mass quantization proposed.

Framework based on weak-field Schwarzschild solution.

Abstract

Quantized expressions for the gravitational energy and momentum are derived from a linearized theory of teleparallel gravity. The derivation relies on a second-quantization procedure that constructs annihilation and creation operators for the graviton. The resulting gravitational field is a collection of gravitons, each of which has precise energy and momentum. On the basis of the weak-field approximation of Schwarzschild's solution, a new form for the quantization of the mass of a black hole is derived.