Generalized Space-time Noncommutative Inflation

TL;DR

This paper explores how a time-dependent noncommutative geometry during inflation affects the scalar perturbation spectrum, suggesting potential observable signatures in the cosmic microwave background.

Contribution

It introduces a generalized model of noncommutative inflation with time-varying noncommutativity and analyzes its impact on the power spectrum of scalar perturbations.

Findings

Nonconstant noncommutative inflation influences the CMB spectrum.

Scalar perturbation spectrum is highly sensitive to spacetime noncommutativity.

Future observations could detect signatures of stringy noncommutative effects.

Abstract

We study the noncommutative inflation with a time-dependent noncommutativity between space and time. From the numerical analysis of power law inflation, there are clues that the CMB spectrum indicates a nonconstant noncommutative inflation. Then we extend our treatment to the inflation models with more general noncommutativity and find that the scalar perturbation power spectrum depends sensitively on the time varying of the spacetime noncommutativity. This stringy effect may be probed in the future cosmological observations.