[Mentor's note: Moved from a thread about field theories as this is just about the basic meaning of the theorem for ordinary entangled particles]] Suppose that there are photon spin outcomes that are pre existing from entanglement or from local hidden variables. For every detector angle Alice selects there is a result that is correlated with every detector angle Bob selects. With 10 units that would be 360 x 360 mutual outcomes. * In order to have the probabilities that produce correlations that match quantum mechanical predictions; opposite results cos2 (β - α ) or same sin2 (β - α ) you allow for the probability that Alice gets a given result on her particle (for any detector angle) to vary with the direction that Bob chooses to measure on. This could be a local hidden variable model for relative angles between detectors *In part from post #12 comparison between quantum entanglement and a classical version.