I am thinking of an experimental scientist's axiomatic system, NOT what a theoretical physicist would write down a mathematical equation,i.e, the Schrodinger equation for example.
Clearly, particle accelerators use detection of photons as an assumed "true" system that is assumed to be given to us, i.e., they are axioms of the experimental method that then allows one to conclude things about quarks, bosons, etc, since, if I understand correctly, are NOT directly OBSERVABLE?