Speculation about the black hole final state: resolving singularity by quantum gravity

TL;DR

This paper explores a quantum gravity approach to resolving black hole singularities by quantizing the interior metric and applying Euclidean analytic continuation, leading to a new wave function solution.

Contribution

It introduces a novel boundary condition prescription using Euclidean analytic continuation for the black hole interior quantization.

Findings

Wave function solutions inside the horizon derived

A new boundary condition for quantum black hole interior proposed

Potential resolution of singularity through quantum effects

Abstract

The interior of the black hole can be described by anisotropic cosmology. By quantizing the metric function, we can obtain the Wheeler-DeWitt equation for inside the horizon. In order to interpret the wave function consistently, one needs to impose a boundary condition. In this paper, we introduce a prescription for the Euclidean analytic continuation inside the horizon and the corresponding wave function solution.