DeBroglie-Bohm interpretation of a Ho\v{r}ava-Lifshitz quantum cosmology model

TL;DR

This paper applies the DeBroglie-Bohm interpretation to a Hořava-Lifshitz quantum cosmology model with radiation, showing the universe avoids singularities at the quantum level through non-zero scale factor trajectories.

Contribution

It introduces a Bohmian analysis of a Hořava-Lifshitz quantum cosmology model, demonstrating singularity avoidance via quantum trajectories.

Findings

Scale factor trajectories never reach zero

Model indicates quantum-level singularity resolution

Quantum potential explains non-zero scale factor

Abstract

In the present letter, we consider the DeBroglie-Bohm interpretation of a Ho\v{r}ava-Lifshitz quantum cosmology model in the presence of a radiation perfect fluid. We compute the Bohm's trajectories for the scale factor and show that it never goes to zero. That result gives a strong indication that this model is free from singularities, at the quantum level. We also compute the quantum potential. That quantity helps understanding why the scale factor never vanishes.