We all know that if you would translate the spin of a electron to a 'spinning top' then it would have to spin faster than light, which is a limit for anythings speed. Then we come to this " In the not-so-recent past we delved into some of the nitty-gritty of vector bosons such as the force particles of the Standard Model. We saw that relativity forces us to describe these particles with four-component mathematical objects. But alas, such objects are redundant because they encode more polarization states than are physically present. For example, a photon canít spin in the direction of motion (longitudinal polarization) since this would mean part of the field is traveling faster than the speed of light. " https://motls.blogspot.com/2011/10/who-ate-higgs.html
Isn't that argument flawed? That ' a photon canít spin in the direction of motion (longitudinal polarization) since this would mean part of the field is traveling faster than the speed of light. '
I agree to that a 'spin' can't be ftl, but I find it harder to agree to that a quantum mechanical spin can't take any 'direction/polarization' it want. As this argument seems to state. A quantum mechanical spin has no classical counterpart, as far as I know?
Actually I've been wondering about that before too.
in order for anything to be stable and not to decay, it must spin in all directions simultaneously.