On the Origin of Gauge Symmetries and Fundamental Constants

TL;DR

This paper proposes a statistical mechanism for the emergence of gauge symmetries and fundamental constants from extra-dimensional geometries, linking early universe inflation to low-energy physics properties.

Contribution

It introduces a novel statistical approach to explain the origin of gauge invariance and fundamental constants based on extra space symmetrization.

Findings

Gauge invariance appears after inflation under certain conditions.

Constants like Planck's constant and gravitational constant depend on extra space geometry.

The symmetrization process influences the values of fundamental constants.

Abstract

A statistical mechanism is proposed for symmetrization of an extra space. The conditions and rate of attainment of a symmetric configuration and, as a consequence, the appearance of gauge invariance in low-energy physics is discussed. It is shown that, under some conditions, this situation occurs only after completion of the inflationary stage. The dependence of the constants $\hbar$ and G on the geometry of the extra space and the initial parameters of the Lagrangian of the gravitational field with higher derivatives are analyzed.