Axiomatic Foundations of Physical Theories

TL;DR

This paper systematically analyzes the axiomatic foundations of key physical theories, exploring their structures, interactions, and potential extensions to unify principles across different physical phenomena.

Contribution

It provides a comprehensive axiomatic framework for major physical theories and examines the implications of extending the principle of solidarity to all interactions.

Findings

Axiomatic descriptions of Mechanics, Relativity, and Quantum Mechanics

Insights into interactions like Gravity and Electricity within the axiomatic framework

Discussion on the dynamic nature of variables under extended principles

Abstract

In this paper we give a contribution to the taxonomy of physical theories. We provide here a thorough description of the axiomatic foundations of the most relevant physical theories, Mechanics, Special Relativity, General Relativity, Quantum Mechanics. The corresponding interactions will be dealt with as well, i.e. Gravity in the Minkowskian limit, Electricity without quantized energy, Gravity without quantized energy, Electricity with quantized energy. We pose the problem if the extension of the principle of solidarity to all interactions can impose to consider all variables as dynamic.