/sci/ - Science & Math

>>3048231
It depends on how you construct your system, your metric, and all your shit.

It is purely abstract at that point and you are not producing any new physics or results, all you are doing are just cramming other equations and information into that one extra slot of freedom. This is why we don't do that shit, cause it is pointless, it is not giving us new physics or insight into anything.

I'd rather fap

>>2326804
Ohh, ic your problem. You physically think that the axises in Quantum mech are like classical mech.....LOL.

The direction of the shit in basic QM is arbitrary in space, it all depends on where you chose your z axis to be. It is esentially the way you choose your spin-quantization.

The Heisenberg uncertainty principle tells us that it is not possible to measure position and mometum simultaneously with arbitrary precision, due to noncommutating operators. Therefore, there are limits to what can be known or measured about a particle's angular momentum. It turns out that the best that one can do is to simultaneously measure both the angular momentum vector's magnitude and its component along one axis. The one axis is usually denoted "z". Hence, we define spin as quantized intrinstic angular mometum units along "z".

"z" is a perffered axis we choose to help us define our measurments. It comes from our defintion of intrinsic spin. It doesn't have to correspond to a cartesian coordinate "z".

Make sense now?