It can be argued that the Holy Grail of physics is to develop a model of physical processes based on first principles. That is, a simple set of rules, or axioms, is presented from which a complete description of physics is unavoidably emergent. It is in the spirit of this quest that an axiomatic system is presented in this paper. The paper will derive from first principles three specific equations/relations that map to physics; analogs of the Lorentz transform, the uncertainty principle, and the Einstein field equations. It is argued that the common threads that exist between the theorems of the abstract general system and the equations, relations, and constants that define most of modern physics provide a strong foundation upon which to explore the deeper relationship between mathematics and physics.
Ken Matusow