Is noncommutativity related with the smallness of $\Lambda$?

TL;DR

This paper explores how noncommutative geometry in a cosmological model can naturally produce a vacuum energy density comparable to the observed value, potentially addressing the cosmological constant problem.

Contribution

It introduces a noncommutative minisuperspace framework that links noncommutativity with the smallness of the cosmological constant.

Findings

Vacuum energy density matches observed universe values

Noncommutativity influences cosmological constant dynamics

Model provides a new perspective on dark energy

Abstract

In this letter we study the effects of a noncommutative minisuperspace, including matter degrees of freedom on a FRW universe with cosmological constant. In this setting the vacuum energy density can be calculated to be of the same order as the observed energy density of the universe.