Quantum mechanics forbids an initial or final singularity in a closed FRW universe

TL;DR

This paper argues that quantum mechanics, through stationary state wave functions, prevents the formation of initial or final singularities in a closed radiation-dominated FRW universe, challenging classical singularity assumptions.

Contribution

It demonstrates that quantum wave functions vanish at zero radius, suggesting quantum effects forbid singularities in closed FRW cosmologies.

Findings

Quantum wave functions are zero at zero radius

Singularities are forbidden by quantum mechanics in this model

Classical singularity assumptions are challenged by quantum results

Abstract

The existence of singularities in a closed FRW universe depends on the assumption that general relativity is valid for distances less than the Planck length. However, stationary state wave functions of the Schrodinger equation for a closed radiation-dominated FRW universe derived by Elbaz et al (General Relativity and Gravitation 29, 481, 1997) are zero at zero radius of curvature. Thus, even if general relativity is assumed valid at distances less than the Planck length, quantum mechanics seems to forbid singularities in a closed FRW universe.