Emergence of symmetries

TL;DR

This paper explores how symmetries emerge in multidimensional gravity, linking their formation to entropy decrease in compact spaces and discussing conditions under which low-energy symmetries may be absent during inflation.

Contribution

It provides a novel explanation of symmetry emergence in multidimensional gravity without assuming initial low-energy symmetries.

Findings

Symmetry formation is connected to entropy decrease in compact spaces.

Low-energy symmetries may be absent during inflation under certain conditions.

The process is not assumed but derived from the dynamics of multidimensional gravity.

Abstract

The mechanism of symmetry formation is discussed in the framework of multidimensional gravity. It is shown that this process is strictly connected to the entropy decrease of compact space. The existence of low energy symmetries is not postulated from the beginning. They could be absent during the inflationary stage under certain conditions discussed in the paper.