Could LIV/noncommutativity alleviate the cosmological constant problem

TL;DR

This paper investigates whether Lorentz invariance violation and noncommutative models can improve the ultraviolet behavior of the cosmological constant, potentially alleviating the longstanding problem in cosmology.

Contribution

It explores the potential of LIV and noncommutative models to address the cosmological constant problem through improved UV behavior.

Findings

LIV models may partially mitigate the cosmological constant problem.

Noncommutative models with dual momentum space geometry are also tested for this purpose.

The study provides insights into the role of Lorentz invariance breaking in cosmological constant issues.

Abstract

We test the hypothesis that in models with an explicit breaking of Lorentz invariance (LIV models) the problem with the cosmological constant may, if not already be solved, then at least may partially be mitigated by improving its UV behaviour. Certain class of noncommutative models that have a well defined dual momentum space geometry and in addition set up a suitable frame for developing the appropriate DSR models are also subject to the same test.