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Even that might not go back far enough for me. Somebody figured out 2 things. 1 – Given the right conditions, two particles must have opposite spin. I assume that comes from the conservation of angular momentum. QM contains the correspondence principle, which means that any QM prediction must average out at the macro scale and match the principals of classical physics. But I don’t quite get how that means two particles must have opposite spin.

2 – These two particles can only be described by a single function (wave function). My guess is that separate formulas would exceed Heisenberg’s non-commutativity rule. But I don’t know how to make that connection.