On Deformed Phase Space and $\Lambda$

TL;DR

This paper explores how noncommutative deformations in the phase space of a 5D Kaluza-Klein universe influence the cosmological constant, suggesting a potential link between noncommutativity and dark energy.

Contribution

It introduces a noncommutative phase space framework for a 5D universe and examines its impact on the cosmological constant, proposing a novel origin related to extra-dimensional noncommutativity.

Findings

Noncommutativity affects the value of the cosmological constant.

The origin of dark energy may be connected to phase space deformations.

Noncommutative effects could explain the smallness of the cosmological constant.

Abstract

In this letter we study the effects of a noncommutative in the phase space of an empty (4+1) Kaluza-Klein universe with cosmological constant. We analyze the effects of the noncommutative deformations on the cosmological constant. Finally we comment on the possibility that the origin of the cosmological constant in this model, is related to the noncommutativity between the 4 dimensional scale factor and the compact extra dimension.