# Mathematical Formulation of the laws of classical physics

By classical here I mean non-quantum mechanical, and everything that is developed afterwards such as color, etc.

I am wondering if we can look at our Universe mathematically like this:

Let $$U=\{x,y,z,m,e,f_{m},f_{e},f_{g},t)\subset\mathbb{R}^{9}$$

Then it is possible to to construct an bijection between everything in our Universe an subset of $U$ , if we let

$x,y,z$ to represent position.

$t$ to present time.

$m , e$ to represent mass and charge

$f_{m}, f_{e}$ to represent magnetic and eletric field.

$f_{g}$ to represent gravity field.

Furthermore, the laws of physics can be precisely defined as the collection of restrains that $U$ must satisfy.

A next level question would be: how should this definition be modified if we want to incorporate results from modern physics? I imagine quantum mechanics would present quite a difficult case because of wave-particle duality, uncertainty principle, and probabilistic nature of the Universe.

-
 There are some answers to this question; e.g., Gordon McCabbe studies something similar in a couple papers one and another. They might be a good first reference... – Alex Nelson Sep 29 '12 at 20:46