Noncommutative Black Holes and the Singularity Problem

TL;DR

This paper investigates how noncommutative geometry, specifically non-canonical noncommutativity, can resolve the classical singularity problem inside Schwarzschild black holes by modifying the quantum probability distribution.

Contribution

It introduces a non-canonical noncommutative framework within a Kantowski-Sachs model that successfully removes the black hole singularity.

Findings

Non-canonical noncommutativity eliminates the singularity

Probability of singularity becomes finite

Provides a quantum gravity inspired resolution

Abstract

A phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model is considered to study the interior of a Schwarzschild black hole. Due to the divergence of the probability of finding the black hole at the singularity from a canonical noncommutativity, one considers a non-canonical noncommutativity. It is shown that this more involved type of noncommutativity removes the problem of the singularity in a Schwarzschild black hole.