I was watching a lecture on quantum mechanics by Prof. Leonard Susskind, and one of the audience asked about colour charge. Susskind said something like it is not really coloured, it is just a label applied (I think) by Nambu, and he said spin was similair.
Is spin just a confusing name, or do quanta actually spin? And what is the meaning of the spin states, how can an electron have 1/2 spin or a nucleus 7/2 spin etc.?
If spin is just an operation, then by some method of rotation we obtain a spin quantum number, but surely there are many symmetry operators that give rise to the same change in the spin state. And if we imagine spin like a sphere moving about a certain axis, then what happens if we look from the point of view of another axis?
This seems too ambiguous a label considering that (from what I understand!) the best description we have of any fundamental particle is just an energy density probability function. And if we can only think of particles as energies (or vibrating strings), how is it that energy composes matter in this way?