Deriving diffeomorphism symmetry

TL;DR

This paper discusses a method to derive diffeomorphism symmetry, which is essential for establishing locality in physical theories, building upon previous work on deriving space within the Random Dynamics framework.

Contribution

It presents a procedure to obtain reparametrization and diffeomorphism symmetry, crucial for locality, advancing the theoretical understanding of symmetry emergence in physics.

Findings

Outlined a method to derive diffeomorphism symmetry

Connected reparametrization symmetry with locality

Extended previous work on deriving space in Random Dynamics

Abstract

In an earlier article, we have "derived" space, as a part of the Random Dynamics project. In order to get locality we need to obtain reparametrization symmetry, or equivalently, diffeomorphism symmetry. There we sketched a procedure for how to get locality by first obtaining reparametrization symmetry, or equivalently, diffeomorphism symmetry. This is the object of the present article.