Cosmological accumulation of conserved numbers in Kaluza-Klein theories

TL;DR

This paper proposes a new cosmological mechanism in Kaluza-Klein theories where conserved numbers, like baryon asymmetry, accumulate after inflation due to relaxation of extra space perturbations, demonstrated on a toy model.

Contribution

It introduces a novel mechanism for the generation of conserved numbers in the early Universe within Kaluza-Klein frameworks, linking extra space dynamics to observed asymmetries.

Findings

Mechanism explains how conserved numbers can form after inflation.

Toy model demonstrates the emergence of symmetry-related conserved quantities.

Potential explanation for cosmological baryon asymmetry.

Abstract

We develop a new mechanism for the accumulation of conserved numbers in the early Universe in Kaluza-Klein-like theories. The relaxation of the primordial extra space perturbations existing in the early Universe leads to the establishment of a symmetric final state and the appearance of Killing vectors. As a result, the initial non-zero value of symmetry associated numbers occurs after the inflation. We show this conceptual idea on a toy model of 2-dimensional apple-like extra space with U(1) symmetry. This mechanism naturally arises in the Kaluza-Klein theories and can be used to explain the observed cosmological baryon asymmetry.