Towards Quantum Cosmology without Singularities

TL;DR

This paper explores how quantization of certain fields in a 5d Kaluza-Klein framework can eliminate classical cosmological singularities, suggesting a potential resolution to singularities in quantum cosmology.

Contribution

It introduces a method to smooth out singularities by quantizing non-spherical metrics and dilaton fields within a 5d Kaluza-Klein model, including nonperturbative quantum corrections.

Findings

Classical singularities become smooth after quantization.

Quantization of dilaton and moduli fields provides a semiclassical approach.

Incorporation of nonperturbative corrections suggests potential singularity resolution.

Abstract

In this paper we investigate the vanishing of cosmological singularities by quantization. Starting from a 5d Kaluza--Klein approach we quantize, as a first step, the non--spherical metric part and the dilaton field. These fields which are classically singular become smooth after quantization. In addition, we argue that the incorporation of non perturbative quantum corrections form a dilaton potential. Technically, the procedure corresponds to the quantization of 2d dilaton gravity and we discuss several models. From the 4d point of view this procedure is a semiclassical approach where only the dilaton and moduli matter fields are quantized.