The Causal Interpretation of Quantum Mechanics and The Singularity Problem in Quantum Cosmology

TL;DR

This paper demonstrates that the causal interpretation of quantum mechanics applied to quantum cosmology eliminates the problem of time and shows that quantum effects can prevent classical singularities, regardless of gauge choices.

Contribution

It shows that the causal interpretation makes quantum cosmology independent of time-gauge choices and prevents singularities through quantum potential effects.

Findings

Quantum theory is gauge-independent in this framework.

Quantum potential prevents classical singularities.

The fast-slow-time gauge conjecture is irrelevant here.

Abstract

We apply the causal interpretation of quantum mechanics to homogeneous quantum cosmology and show that the quantum theory is independent of any time-gauge choice and there is no issue of time. We exemplify this result by studying a particular minisuperspace model where the quantum potential driven by a prescribed quantum state prevents the formation of the classical singularity, independently on the choice of the lapse function. This means that the fast-slow-time gauge conjecture is irrelevant within the framework of the causal interpretation of quantum cosmology.