Math and Physics

Physicists make the assumption that for every theory of physics there exists mathematics (existing or uncreated) that can describe the theory of physics. In reality the construction of a theory or an addendum to an existing theory is guided both by physical and mathematical considerations. In general terms the theory guides the mathematics while the mathematics sometimes guides the theory.

Though one may start reasoning from strictly physical considerations eventually one also uses reasoning from strictly mathematical considerations, sometimes the mathematical considerations have tremendous influence upon the physical considerations. So, if there exists mathematics to describe every physical theory maybe there exists physics to describe every piece of mathematics. Physics can be treated as a universal axiomatic system from which mathematical concepts originate, hence every piece of mathematics will have some connection to physics.

I will post more on this later.

John G.