Resolution of challenging problems in quantum cosmology with electromagnetic radiation

TL;DR

This paper explores quantum cosmology with electromagnetic radiation, solving the Wheeler-DeWitt equation using zeta function regularization to address key issues like singularities and boundary conditions.

Contribution

It introduces a novel application of Riemann's zeta function regularization to quantum cosmology, effectively resolving longstanding problems.

Findings

Regularized vacuum energy overcomes singularities

Method addresses factor ordering and boundary condition issues

Provides a consistent quantum cosmological model

Abstract

We investigate the quantum cosmology of a closed spatially homogeneous and isotropic Friedmann-Lema\^itre-Robertson-Walker (FLRW) minisuperspace model with electromagnetic radiation as matter content. We solve the corresponding Wheeler-DeWitt equation by utilizing Riemann's zeta function regularization method. We demonstrate that the regularized vacuum energy of the electromagnetic field can overcome factor ordering, boundary conditions, and singularity problems.