Universal Theory of Relativity and the "Unification" of Fundamental Physical Interactions

TL;DR

This paper discusses a universal theory of relativity aiming to unify fundamental physical interactions, proposing that category theory provides the necessary mathematical framework and highlighting unresolved mathematical questions.

Contribution

It introduces the idea that category theory is essential for unifying physical interactions within the Universal Theory of Relativity and identifies key mathematical challenges.

Findings

Category theory is proposed as the framework for unification.

Unresolved mathematical questions are identified.

The approach aims to describe all physical phenomena under a single conceptual entity.

Abstract

The ``unification'' of fundamental physical forces (interactions) imagines a ``single'' conceptual entity using which {\em all} the observable or physical phenomena, {\em ie}, changes to physical bodies, would be suitably describable. The physical, conceptual and mathematical, framework which achieves this is that of the recently proposed Universal Theory of Relativity \cite{smw-utr}. Here, we argue that the mathematical framework required to achieve the ``unification'' should be that of the general Category Theory. There are certain unanswered mathematical questions arising out of this context. In the sequel, we also point out these issues for the wider attention.