The problem with explaining an Aspect style experiment by hidden variables boils down to explaining 3 results which, taken together, appear to eliminate the possibility of hidden variables and require faster than light communicaton. These are:
1. Alice and Bob each use 3 mutually orthogonal detectors, or detector orientations. In each orientation the probability of a clockwise spin or counterclockwise spin, as observed by either Alice or Bob with or without the other observing on their end, is observed to be exactly 0.5. 2. When both Alice and Bob observe the same axis the entangled particle spins match exactly. 3. If Bob and Alice each choose their axes at random, then when Alice and Bob observe differing axes the probability of a match for entangled particles is exactly 0.25. Using spin variables in more than three dimensions still has the problem of meeting all three conditions simultaneously, especially condition 2. There are only 3 detector orientations used, so if Bob's a detector can observe (choose) a spin variable from more than 1 dimension, of some function of variables in multiple dimensions, how is this choice managed so as to always correlate with the value observed by Alice from her corresponding detector? The need for faster than light communication still exists, though it has simply taken another form. Regards, Horace Heffner
