Finsler space-time can explain both parity asymmetry and power deficit seen in CMB temperature anisotropies

TL;DR

This paper introduces a Finsler space-time framework, specifically using Randers-Finsler geometry, to simultaneously explain the parity asymmetry and power deficit observed in the low multipole range of CMB temperature anisotropies, suggesting a common origin.

Contribution

The study proposes a novel Finsler space-time model that accounts for both parity asymmetry and power deficit in CMB data, supported by analysis of PLANCK 2015 observations.

Findings

Finsler space-time can explain low-$ll$ anomalies in CMB.

The model constrains parameters consistent with observed data.

Parity asymmetry and power deficit may share a common cause.

Abstract

We propose a framework of Finsler space-time to explain the observed parity asymmetry and the power deficit in the low-$\ell$ ($2\leqslant \ell \leqslant 29$) multipole range of cosmic microwave background (CMB) temperature anisotropies. In the $3+1$ dimensional space-time, the three-dimensional space is described by a Randers-Finsler space, which is spatially irreversible, inducing the parity asymmetry in the CMB angular power spectrum. We estimate the constraints on the two parameters introduced by Finsler space-time via analyzing the low-$\ell$ angular power spectrum in PLANCK 2015 CMB temperature data. We see that the low-$\ell$ power suppression in the CMB temperature anisotropies can also be resolved in this scenario. Our study shows that the two low-$\ell$ anomalies, i.e., parity asymmetry and power deficit, may have a common origin.