Multicoloured Random Graphs: The Random Dynamics Program

TL;DR

This paper explores how random graph theory can underpin the origin of physical symmetries and laws, proposing that fundamental randomness can lead to known physics like relativity and gauge invariance.

Contribution

It introduces the application of random graph formalism to the Random Dynamics program, aiming to derive physical laws from fundamentally random structures.

Findings

Random graphs can model the emergence of symmetries.

The approach suggests known physics arises as a low-energy limit.

Framework points towards future extensions in fundamental physics theories.

Abstract

The Random Dynamics program is a proposal to explain the origin of all symmetries, including Lorentz and gauge invariance without appeal to any fundamental invariance of the laws of nature, and to derive the known physical laws in such a way as to be almost unavoidable. C. D. Froggatt and H. B. Nielsen proposed in their book Origin of Symmetries, that symmetries and physical laws should arise naturally from some essentially random dynamics rather than being postulated to be exact. The most useful assumption of the program that can be made about the fundamental laws is taken to be that they are random and then to see how known physics like mechanics and relativity follow from them. It is believed that almost any model of these regularities would appear in some limit for example as energies become small. Almost all theories or models at the fundamental level could then explain known physics. We suggest how using the formalism and properties of random graphs might be useful in developing the theory, and point towards directions in which it can be more fully extended in future work.