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In 1964 physicist J. S. Bell proposed a mathematical theorem stating that two particles, originally united but eventually separated, could and would affect each other, immediately and from afar. His theorem was confirmed experimentally in 1972 and has been reconfirmed by a series of experiments since then.

Specifically this means: If you break up a molecule so that the electrons fly apart, and then change the spin of one electron, the spin of the other electrons originally joined to it will immediately correspond, no matter how far apart they now are.