Exact Classical Correspondence in Quantum Cosmology

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.

Accepted for publication in Gravitation and Cosmology

References in corpus (4)

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• Cosmological perturbation theory with York time
• Gravitation and cosmology with York time
• Holographic dark energy in a coasting cosmology
• Bouncing and coasting universe with exact quantum-classical correspondence