Wheeler-DeWitt Equation with Variable Constants

TL;DR

This paper investigates the variation of physical constants within a quantum cosmological framework, using the Wheeler-DeWitt equation, to address entropy issues and explore implications for the universe's evolution.

Contribution

It generalizes the Wheeler-DeWitt equation to include variable constants and multi-fluid components, providing new insights into quantum cosmology and the role of varying physical constants.

Findings

Derived the Wheeler-DeWitt equation with all constants varying

Analyzed quantum potential and tunneling probabilities in this context

Explored implications for entropy and matter creation in cosmology

Abstract

In this paper we study how all the physical "constants" vary in the framework described by a model in which we have taken into account the generalize conservation principle for its stress-energy tensor. This possibility enable us to take into account the adiabatic matter creation in order to get rid of the entropy problem. We try to generalize this situation by contemplating multi-fluid components. To validate all the obtained results we explore the possibility of considering the variation of the"constants" in the quantum cosmological scenario described by the Wheeler-DeWitt equation. For this purpose we explore the Wheeler-DeWitt equation in different contexts but from a dimensional point of view. We end by presenting the Wheeler-DeWitt equation in the case of considering all the constants varying. The quantum potential is obtained and the tunneling probability is studied.