Math and Physics II

What the previous post implies is that there may exist an area of mathematics that can give rise to "new physics", the only problem is how do we go about it? The basic structures of thought and language have been developed to operate in one direction only, from physics theory to mathematics, this makes talking about or even thinking about the opposite direction difficult. I'll see if I can elucidate this later.

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.