English

Categorical Foundations for Physics - I: Program at a Glance

General Physics 2007-10-10 v2

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.

Keywords

Cite

@article{arxiv.0708.2468,
  title  = {Categorical Foundations for Physics - I: Program at a Glance},
  author = {Sanjay M Wagh},
  journal= {arXiv preprint arXiv:0708.2468},
  year   = {2007}
}

Comments

title changed, substantial changes to include mathematical details

R2 v1 2026-06-21T09:08:32.449Z