Affine Quantization of the Interior Schwarzschild Black Hole

TL;DR

This paper applies affine quantization to the interior of a Schwarzschild black hole to investigate quantum effects that could potentially prevent classical singularities in black hole interiors.

Contribution

It introduces a novel application of affine quantization to spherically symmetric black hole interiors, focusing on singularity avoidance.

Findings

Quantum wave functions suggest singularity resolution.

Affine quantization is effective for positive-definite variables.

Potential implications for black hole singularity physics.

Abstract

In this paper, we investigate the Hamiltonian formulation of a spherically symmetric spacetime that corresponds to the interior of a Schwarzschild black hole. The resulting phase space involves two independent dynamical variables along with their conjugate momenta. We quantize the associated minisuperspace using the affine quantization method, which is particularly suited for systems with positive-definite configuration variables. We then explore whether the quantum effects encoded in this wave function can lead to the avoidance of classical singularities.