The Causal Interpretation of Dust and Radiation Fluids Non-Singular Quantum Cosmologies

TL;DR

This paper uses the causal interpretation of quantum mechanics to analyze non-singular quantum cosmologies with dust and radiation fluids, showing that quantum effects can eliminate singularities and horizons, implying an eternal universe.

Contribution

It introduces a novel application of the causal interpretation to quantum cosmology with dust and radiation, demonstrating non-singular trajectories and the potential for an eternal universe.

Findings

Quantum trajectories are non-singular and tend to classical behavior at large scales.

Quantum potential becomes negligible at large scale factors.

No horizons are present in the quantum cosmological models.

Abstract

We apply the causal interpretation of quantum mechanics to homogeneous and isotropic quantum cosmology where the sources of the gravitational field are either dust or radiation perfect fluids. We find non-singular quantum trajectories which tends to the classical one when the scale factor becomes much larger then the Planck length. In this situation, the quantum potential becomes negligible. There are no horizons. As radiation is a good approximation for the matter content of the early universe, this result suggests that the universe can be eternal due to quantum effects.