Black Hole Singularity and Generalized Quantum Affine Parameter

TL;DR

This paper investigates the quantum generalized affine parameter near black hole singularities and horizons, revealing that quantum effects may eliminate singularities in a specific quantum gravity model.

Contribution

It demonstrates that the quantum generalized affine parameter remains finite at the horizon but diverges at the singularity, suggesting singularity resolution in quantum gravity.

Findings

QGAP is infinite at the singularity

QGAP remains finite at the event horizon

Indicates potential singularity resolution in quantum gravity

Abstract

We study a behavior of quantum generalized affine parameter (QGAP), which has been recently proposed by one of the present authors, near the singularity and the event horizon in three and four spacetime dimensions in terms of a minisuperspace model of quantum gravity. It is shown that the QGAP is infinite to the singularity while it remains finite to the event horizon. This fact indicates a possible interpretation that the singularity is wiped out in quantum gravity in this particular model of black hole.