"Complex" (read: imaginary) numbers

>4 axes
wtf

>what is matrix math

True, but quantum states are not observable.

The observables in a quantum system are the eigenvalues of the Hermitian operators acting on the quantum state. And those are always real numbers.

Just because it's not observable doesn't mean it's not useful; I'm sure you like computers and transistors working

I agree, but op asked for an actual physical representation (which exist anyway as just points in a plane).

>no physical representation in the real world
The amount of ontological assumptions here is off the wall. What exactly does it mean for an abstract entity to have a "physical representation in the real world" if I may ask? Let's take some arbitrary abstract object and call it OogaBooga. What would it mean for OogaBooga to be a "representation" of, say, a particular tree?

Physics use it anything involving: rotation, waves, vibrations

>because rotation are related to waves by the formula:
[eqn]r \ e^{i\theta}=r \
(\cos{\theta}+i\sin{\theta})[/eqn]

>Since Electricity behave as waves:
EE uses complex numbers ALL THE TIME

In Circuits, Electromagnetic Waves, Electronic Signals
>with lots of applications in real world, since without such math no one would figure out how to make modern electronic devices as computers or smartphones

Well "real" numbers aren't anymore physical than "imaginary" numbers.

Numbers dont exist at all. So why take issue with just one group?

>Physics use it anything involving: rotation, waves, vibrations
*Physics use it in anything involving: rotation, waves, vibrations

>Numbers dont exist at all.