Quantum cosmology with varying speed of light and Bohmian trajectories

TL;DR

This paper explores quantum cosmology with a varying speed of light, deriving classical and Bohmian trajectories, and demonstrating the successful application of Bohmian interpretation to this theory.

Contribution

It introduces a quantum cosmological model with varying speed of light and applies Bohmian trajectories, comparing them with classical paths.

Findings

Bohmian trajectories align with classical ones in certain regimes

The theory is successfully quantized using the Wheeler-DeWitt equation

Bohmian interpretation is applicable to varying speed of light cosmology

Abstract

The classical trajectories for FLRW universe with varying speed of light are obtained for the cases in which the cosmological constant depends or not depend on the velocity of light. The theory is then quantized and the corresponding WDW equation is solved. It is shown that the method of causal interpretation of Bohm can be applied successfully to the theory. Finally the Bohmian trajectories are obtained and compared with the classical ones.