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Categorical Foundations for Physics - I: Program at a Glance

2007/08/18 by Sanjay M Wagh, Wagh, Sanjay M
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.0708.2468

title changed, substantial changes to include mathematical details

arxiv created 2007/09/07 · arxiv updated 2009/12/01

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.

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