Categorical Foundations for Physics - I: Program at a Glance
arXiv:0708.2468
Abstract
Measures in the context of Category Theory lead to various relations, even differential relations, of categories that are independent of the mathematical structure forming objects of a category. Such relations, which are independent of mathematical structure that we may represent a physical body or a system of reference with, are, precisely, demanded to be the Laws of Physics by the General Principle of Relativity. This framework leads to a theory for the physical entirety.
title changed, substantial changes to include mathematical details