Quantum Rainbow Cosmological Model With Perfect Fluid

TL;DR

This paper explores a quantum cosmological model within Rainbow gravity, demonstrating how matter can serve as cosmic time, and shows the potential for a non-singular bouncing universe through quantum effects.

Contribution

It introduces a novel isotropic quantum cosmological model in Rainbow gravity with perfect fluid, highlighting the role of matter as cosmic time and the avoidance of singularities.

Findings

Wave packet derived from superposition of Schrödinger-Wheeler-deWitt solutions

Model can avoid singularity, resulting in a bouncing universe

Behavior depends on operator ordering in quantum framework

Abstract

Isotropic quantum cosmological perfect fluid model is studied in the formalism of Rainbow gravity. It is found that the only surviving matter degree of freedom played the role of cosmic time. With the suitable choice of the Rainbow functions it is possible to find the wave packet naturally from the superposition of the wave functions of the Schr$\ddot{o}$dinger-Wheeler-deWitt equation. The many-worlds interpretation of quantum mechanics is applied to investigate the behavior of the scale factor and the behavior is found to depend on the operator ordering. It is shown that the model in the Rainbow framework may avoid singularity yielding a bouncing non-singular universe.