Primordial Universe with radiation and Bose-Einstein condensate

TL;DR

This paper explores a quantum cosmological model of the early universe composed of radiation and Bose-Einstein condensate, analyzing classical and quantum behaviors, including singularity avoidance and bouncing solutions.

Contribution

It introduces a novel quantum cosmological model with BEC and radiation, deriving solutions to the Wheeler-DeWitt equation and demonstrating singularity-free behavior.

Findings

Classical scale factor exhibits bouncing or Big Crunch solutions.

Quantum analysis yields finite-norm wave packets.

Model avoids cosmological singularities.

Abstract

In this work we derive a scenario {in which} the early universe consists of {radiation fluid} and Bose-Einstein condensate. The possibility of gravitational self-interaction due to an attractive Bose-Einstein condensate is analyzed. The classical behavior of the scale factor of the universe is determined by a parameter associated with the Bose-Einstein fluid with bouncing or Big Crunch solutions. After we proceed to compute the finite-norm wave packet solutions to the Wheeler-DeWitt equation. The behavior of the scale factor is studied by applying the many-worlds interpretation of quantum mechanics. The quantum cosmological model is free from the singularities.