Cosmological parameters in the noncommutative inflation

TL;DR

This paper explores how noncommutative spacetime uncertainty can explain WMAP cosmological data by analyzing the power spectrum and spectral indices in IR and UV regions using specific noncommutative parameters.

Contribution

It introduces noncommutative parameters in IR and UV regions and calculates cosmological parameters to fit observational data, providing a novel approach to inflation models.

Findings

Noncommutative parameters can influence the power spectrum.

Explicit forms for spectral index and running spectral index are derived.

Model fits observational WMAP data effectively.

Abstract

We investigate how the uncertainty of noncommutative spacetime could explain the WMAP data. For this purpose, the spectrum is divided into the IR and UV region. We introduce a noncommutative parameter of $\gamma_0$ in the IR region and a noncommutative parameter of $\mu_0$ in the UV region. We calculate cosmological parameters using the slow-roll expansion in the UV region and a perturbation method in the IR region. The power-law inflation is chosen to obtain explicit forms for the power spectrum, spectral index, and running spectral index. Further, these are used to fit the data.