Classical Universe emerging from quantum cosmology without horizon and flatness problems

TL;DR

This paper demonstrates that a classical, horizon- and flatness-problem-free universe can emerge from a quantum cosmological model using the de Broglie-Bohm approach, avoiding initial singularities.

Contribution

It introduces a novel application of the complex de Broglie-Bohm formulation to quantum cosmology, showing emergence of a classical universe without horizon or flatness issues.

Findings

Classical universe emerges from quantum oscillations

No initial singularity in the model

Horizon and flatness problems are resolved

Abstract

We apply the complex de Broglie-Bohm formulation of quantum mechanics [1] to a spatially closed homogeneous and isotropic early Universe whose matter content are radiation and dust perfect fluids. We then show that an expanding classical Universe can emerge from an oscillating (with complex scale factor) quantum Universe without singularity. Furthermore, the Universe obtained in this process has no horizon or flatness problems.