Multipole analysis in cosmic topology

TL;DR

This paper investigates how the topology of the universe influences cosmic microwave background patterns by analyzing multipole moments and symmetries, providing explicit results for specific spherical manifolds.

Contribution

It introduces a multipole analysis method incorporating point symmetry and derives new spherical 3-manifolds, advancing understanding of cosmic topology effects.

Findings

Low multipole amplitudes explained by topology selection rules

Explicit results for two cubic 3-spherical manifolds

Derivation of three new spherical 3-manifolds

Abstract

Low multipole amplitudes in the Cosmic Microwave Background CMB radiation can be explained by selection rules from the underlying multiply-connected homotopy. We apply a multipole analysis to the harmonic bases and introduce point symmetry.We give explicit results for two cubic 3-spherical manifolds and lowest polynomial degrees, and derive three new spherical 3-manifolds.