And yeah, yeah, I get it, it's okay for quantum numbers to just be arbitrary "things" that have no classical analogues, the video mentions even Pauli wants me to think of spin as "classically non-describable two-valuedness", I'm usually okay with thinking this way. But if that's what spin is then *why does it impart mechanical angular momentum, literal macroscopic classical angular momentum, when you apply it correctly*?? I have always struggled to let this go and I kind of feel like I shouldn't