Towards a Grand Unified Theory of Mathematics and Physics

TL;DR

This paper explores the profound connection between mathematics and physics, highlighting historical developments and analogies, aiming to move towards a unified theoretical framework.

Contribution

It reviews evidence and recent developments suggesting a deep unity between mathematical structures and physical laws, proposing a step towards a grand unified theory.

Findings

Historical evidence of math-physics unity

Analogies between number theory and quantum field theory

Recent developments supporting a unified framework

Abstract

Wigner's "unreasonable effectiveness of mathematics" in physics can be understood as a reflection of a deep and unexpected unity between the fundamental structures of mathematics and of physics. Some of the history of evidence for this is reviewed, emphasizing developments since Wigner's time and still poorly understood analogies between number theory and quantum field theory.