On Noncommutative Minisuperspace and the Friedmann equations

TL;DR

This paper develops a noncommutative scalar field cosmology, deriving modified Friedmann and Klein-Gordon equations, and finds that noncommutative effects are minimal unless the noncommutative parameter is extremely small.

Contribution

It introduces a noncommutative framework for minisuperspace cosmology and derives the corresponding modified equations, highlighting the smallness of the noncommutative parameter.

Findings

Noncommutative contributions are only up to second order in the parameter.

The noncommutative parameter must be very small for the model to be phenomenologically viable.

Modified Friedmann and Klein-Gordon equations are derived in the noncommutative setting.

Abstract

In this paper we present noncommutative version of scalar field cosmology. We find the noncommutative Friedmann equations as well as the noncommutative Klein-Gordon equation. Interestingly the noncommutative contributions are only present up to second order in the noncommutitive parameter. Finally we conclude that if we want a noncommutative minisuperspace with a constant noncommutative parameter as viable phenomenological model, the noncommuative parameter is very small.