Assuming that nature is local, then the only explanation for the perfectly synchronized long-distance choreography of the entangled photons is that they have a prearranged dance routine, one that they agreed upon before flying off from their common source. But the wave function shared by the entangled photons says nothing about any kind of prearrangement. It just guarantees that the photons will always do the same thing at polarizers with the same settings, that they will be perfectly correlated. Therefore, if nature is local, the wave function is not everything—there must be hidden variables.
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