Multiverse effects on the CMB angular correlation function in the framework of NCG

TL;DR

This paper explores how multiverse theories, modeled through non-commutative geometry, could influence the cosmic microwave background's angular correlation function, suggesting potential observable effects and broader implications for radiation studies.

Contribution

It introduces a novel NCG-based framework for modeling a multiverse with a two-layer space and links it to observable CMB correlations, providing a new approach to multiverse phenomenology.

Findings

Photon propagator and CMB correlation function are comparable.

Distance between universe layers can be within observable universe's radius.

Results applicable to other radiation types like X-rays.

Abstract

Following many theories that predict the existence of the multiverse and by conjecture that our space-time may have a generalized geometrical structure at the fundamental level, we are interested in using a non-commutative geometry (NCG) formalism to study a suggested two-layer space that contains our 4-dimensional (4-D) universe and a re-derived photon propagator. It can be shown that the photon propagator and a cosmic microwave background (CMB) angular correlation function are comparable, and if there exists such a multiverse system, the distance between the two layers can be estimated to be within the observable universe's radius. Furthermore, this study revealed that our results are not limited to CMB but can be applied to many other types of radiation, such as X-rays.