Axiomatic Foundations of Physical Theories

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.

23 pages, Keywords: Axiomatic foundations; mechanics; special relativity; general relativity and quantum mechanics; principle of solidarity; interactions. PACS numbers: 03.30.+p, 03.65.-w, 04.20-q, 11.10.Cd, 95.30.Sf. Accepted for publication in International Journal of Modern Physics A (2023), https://doi.org/10.1142/S0217751X2350094X