Quantum Scalar-metric Cosmology with Chaplygin gas

TL;DR

This paper explores a quantum cosmological model with generalized Chaplygin gas, demonstrating a non-singular bouncing universe and analyzing quantum wave packets that suggest a possible origin of our universe from a quantum peak.

Contribution

It introduces a quantum scalar-metric cosmology model with Chaplygin gas, showing how quantum effects lead to a non-singular bouncing universe and analyzing wave packet behavior.

Findings

Wave packets have two dominant peaks and move towards larger scale factors.

The universe avoids singularity, indicating a bouncing cosmology.

Quantum interpretations suggest a possible origin from one of the peaks.

Abstract

A spatially flat Friedmann-Robertson-Walker(FRW) cosmological model with generalized Chaplygin gas is studied in the context of scalar-metric formulation of cosmology. Schutz's mechanism for the perfect fluid is applied with generalized Chaplygin gas and the classical and quantum dynamics for this model is studied. It is found that the only surviving matter degree of freedom played the role of cosmic time. For the quantum mechanical description it is possible to find the wave packet which resulted from the linear superposition of the wave functions of the Schr\"{o}dinger-Wheeler-DeWitt(SWD) equation, which is a consequence of the above formalism. The wave packets show two distinct dominant peaks and propagate in the direction of increasing scale factor. It may happen that our present universe originated from one of those peaks. The many-world and ontological interpretation of quantum mechanics is applied to investigate about the behaviour of the scale factor and the scalar field(considered for this model). In both the cases the scale factor avoids singularity and a bouncing non-singular universe is found.