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.