Remarks on Inflation and Noncommutative Geometry

TL;DR

This paper explores how noncommutative geometry could influence early universe cosmology, potentially causing non-gaussian, anisotropic inflationary fluctuations and altering short-distance dispersion relations.

Contribution

It discusses the possible cosmological effects of noncommutative geometry, emphasizing its role in inflationary dynamics and fluctuation properties.

Findings

Noncommutativity may induce non-gaussian inflationary fluctuations.

It could cause anisotropy in early universe fluctuations.

Short-distance dispersion relations might be modified by noncommutative effects.

Abstract

We briefly discuss some possible cosmological implications of noncommutative geometry. While the noncommutativity we consider does not affect gravity, it can play an important role in the dynamics of other fields that are present in the early universe. We point out the possibility that noncommutativity may cause inflation induced fluctuations to become non-gaussian and anisotropic, and may modify the short distance dispersion relations.