Are classically singular spacetimes quantum mechanically singular as well?

TL;DR

This paper investigates whether classical singularities in certain static spacetimes remain singular when analyzed through quantum wave equations for various particles, focusing on quasiregular singularities.

Contribution

It provides an analysis of quantum mechanical behavior of scalar, null vector, and spinor particles in static spacetimes with classical quasiregular singularities, exploring quantum regularity.

Findings

Quantum particles may or may not resolve classical singularities.

The study extends understanding of quantum effects on classical spacetime singularities.

Results depend on the type of quantum particle and the nature of the singularity.

Abstract

Are the classical singularities of general relativistic spacetimes, normally defined by the incompleteness of classical particle paths, still singular if quantum mechanical particles are used instead? This is the question we will attempt to answer for particles obeying the quantum mechanical wave equations for scalar, null vector and spinor particles. The analysis will be restricted to certain static general relativistic spacetimes that classically contain the mildest true classical singularities, quasiregular singularities.