# Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables

## TL;DR

This paper explores how noncommutative geometry influences classical and quantum cosmological models, particularly focusing on acceleration and probability interpretations within a deformed minisuperspace framework.

## Contribution

It introduces a noncommutative deformation of minisuperspace variables in an integrable cosmological model, analyzing effects on cosmic acceleration and quantum probability distributions.

## Key findings

- Noncommutativity affects the acceleration of the cosmic scale factor.
- A new interpretation of quantum probability distribution in noncommutative cosmology.
- Demonstrates the integrability of the noncommutative cosmological model.

## Abstract

We study classical and quantum noncommutative cosmology with a Liouville-type scalar degree of freedom. The noncommutativity is imposed on the minisuperspace variables through a deformation of the Poisson algebra. In this paper, we investigate the effects of noncommutativity of minisuperspace variables on the accelerating behavior of the cosmic scale factor. The probability distribution in noncommutative quantum cosmology is also studied and we propose a novel candidate for interpretation of the probability distribution in terms of noncommutative arguments.