> This is the same quantity that is conserved in things that are spinning.
In what sense is it the same? If we called them completely different names, what would be different or more complex?
In what sense is it the same? If we called them completely different names, what would be different or more complex?
Spin falls out of qm equations as the quantized number associated with the angular momentum quantity that falls out of classical equations.
Much like you get energy-momentum from translating in time and space, and this falls out in a constrained quantum system where energy-momentum is quantized as an integer we call wave number.
If we were to give different names to different types of angular momentum, we could no longer say that. Instead we would have to say something like: "The sum of Type 1 Angular Momentum and Type 2 Angular Momentum is conserved."
Does that qualify as more complex?
I mean you're increasing the complexity of your explanation I guess, and if you don't draw the distinction quite right you might be doing so for no explanatory benefit and a net reduction in communication effectiveness. But there are other reasons quantized spin is important and relevant compared to, say, the net angular momentum you have around Detroit at the current time.