If i rotate a physical system by say 10 degrees it is equivalent to my self rotate -10 degrees.
but if i rotate an electron 360 degrees it spin state have a detectable minus sing. now if instead of the electron myself rotate in opposite direction i think there will be no detectable change in electron. it is same as before "I" rotate.
so i can ask is my note is true? or equivalently: do one-half spin phenomena breakdown equivalence of between active and passive transformation?