Signature Change in Noncommutative FRW Cosmology

TL;DR

This paper explores how noncommutative geometry influences signature change in quantum cosmology, showing that noncommutativity allows for classical signature transitions and constrains cosmological parameters.

Contribution

It demonstrates that noncommutative phase space enables classical signature change in quantum cosmology and constrains the cosmological constant based on noncommutative parameters.

Findings

Noncommutativity supports signature transition in quantum cosmology.

The cosmological constant spectrum is extended to negative values.

Physical parameters are constrained by noncommutative parameters.

Abstract

The conditions for which the no boundary proposal may have a classical realization of a continuous change of signature, are investigated for a cosmological model described by FRW metric coupled with a self interacting scalar field, having a noncommutative phase space of dynamical variables. The model is then quantized and a good correspondence is shown between the classical and quantum cosmology indicating that the noncommutativity does not destruct the classical-quantum correspondence. It is also shown that the quantum cosmology supports a signature transition where the bare cosmological constant takes a vast continuous spectrum of negative values. The bounds of bare cosmological constant are limited by the values of noncommutative parameters. Moreover, it turns out that the physical parameters are constrained by the noncommutativity parametres.