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Density Matrixes in Quantum Mechanics
In quantum mechanics, for an entangled subsystem, you need to talk the language of density matrices. In classical mechanics, it's really just because we don't know all the details. For instance, a kinetic and potential energy experiment is the same if done today or tomorrow at one location or the other. That gives us conservation of energy and of momentum. Can you explain the reasoning that makes that necessary? Short answer is no, I cannot explain it here in the AMA, it's too complicated for that.