Exact Classical Correspondence in Quantum Cosmology

TL;DR

This paper demonstrates an exact quantum-classical correspondence in a Friedmann cosmological model, resolving common issues in quantum cosmology and aligning well with observational data.

Contribution

It presents a specific model where the Wheeler-DeWitt equation's solutions match classical evolution exactly, using de Broglie-Bohm approaches.

Findings

Exact quantum-classical correspondence achieved

Model aligns with supernova Ia observational data

Problems in quantum cosmology are resolved

Abstract

We find a Friedmann model with appropriate matter/energy density such that the solution of the Wheeler-DeWitt equation exactly corresponds to the classical evolution. The well-known problems in quantum cosmology disappear in the resulting coasting evolution. The exact quantum-classical correspondence is demonstrated with the help of the de Broglie-Bohm and modified de Broglie-Bohm approaches to quantum mechanics. It is reassuring that such a solution leads to a robust model for the universe, which agrees well with cosmological expansion indicated by SNe Ia data.