Thursday, July 31, 2014

Does the Hilbert space of the universe have to be infinite dimensional to make sense of quantum mechanics?



Does the Hilbert space of the universe have to be infinite dimensional to make sense of quantum mechanics? Otherwise, decoherence can never become exact. Does interpreting quantum mechanics require exact decoherence and perfect observers of the sort which can only arise from exact superposition sectors in the asymptotic future limit?




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