Inflation on a Non-Commutative Space-Time

TL;DR

This paper investigates the effects of non-commutative space-time on cosmic inflation, finding that the dominant observable impact is on structure formation, and establishes a new bound on the non-commutative scale around 19 TeV.

Contribution

It introduces a consistent framework for studying inflation on non-commutative space-time and derives the tightest bound on the non-commutative scale to date.

Findings

Non-commutativity effects are subtle but influence structure formation.

Derived a bound of approximately 19 TeV on the non-commutative scale.

Provided a model-independent constraint assuming inflation occurred.

Abstract

We study inflation on a non-commutative space-time within the framework of enveloping algebra approach which allows for a consistent formulation of general relativity and of the standard model of particle physics. We show that within this framework, the effects of the non-commutativity of spacetime are very subtle. The dominant effect comes from contributions to the process of structure formation. We describe the bound relevant to this class of non-commutative theories and derive the tightest bound to date of the value of the non-commutative scale within this framework. Assuming that inflation took place, we get a model independent bound on the scale of space-time non-commutativity of the order of 19 TeV.