Singularity Free Quasi-Classical Schwarzschild Space-Times

TL;DR

This paper employs canonical quantization to derive singularity-free quasi-classical Schwarzschild space-times, revealing complete, non-singular geometries connected by Planck-scale wormholes, thus offering a potential resolution to classical black hole singularities.

Contribution

It introduces a novel quantization approach that produces non-singular Schwarzschild solutions with complete maximal extensions.

Findings

All three quasi-classical geometries are free of singularities.

The geometries form a tower of asymptotically flat universes.

Maximal extensions connect universes through Planck-scale wormholes.

Abstract

Using canonical (Schrodinger) quantization of spherically symetric gravitational dust systems, we find the quasi-classical (coherent) state, |\alpha^{(s)}>, that corresponds to the classical Schwarzschild solution. We calculate the ``quasi-classical Schwarzschild mertic", which is the expectation value of the quantized metric in thhis quasi-classical state. Depending on the quantization scheme that we use, we study three different quasi- classical geometries, all of which turn out to be singularity free. Their maximal extensions are complete manifolds with no singularities, describing a tower of asymptotically flat universes connected through Planck size wormholes.