Noncommutative Geometry and the Primordial Dipolar Imaginary Power Spectrum

TL;DR

This paper proposes that noncommutative space-times can produce an anisotropic dipolar imaginary primordial power spectrum, potentially explaining the observed hemispherical anisotropy in CMBR data as a quantum gravity signature.

Contribution

It introduces a novel noncommutative space-time framework to model the dipolar imaginary primordial power spectrum and connects it to CMBR hemispherical anisotropy observations.

Findings

Good fit to CMBR dipole modulation data

Extracted power spectrum consistent with anisotropic models

Suggests a quantum gravity origin for observed anisotropy

Abstract

We argue that an anisotropic dipolar imaginary primordial power spectrum is possible within the framework of noncommutative space-times. We show that such a spectrum provides a good description of the observed dipole modulation in CMBR data. We extract the corresponding power spectrum from data. The dipole modulation is related to the observed hemispherical anisotropy in CMBR data, which might represent the first signature of quantum gravity.