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Abstract: I show that the classical Hamilton-Jacobi H-J equation can be used as atechnique to study quantum mechanical problems. I first show that the theSchr\-odinger equation is just the classical H-J equation, constrained by acondition that forces the solutions of the H-J equation to be everywhere $C^2$.That is, quantum mechanics is just classical mechanics constrained to ensurethat ``God does not play dice with the universe.- I show that this condition,which imposes global determinism, strongly suggests that $\psi^*\psi$ measuresthe density of universes in a multiverse. I show that this interpretationimplies the Born Interpretation, and that the function space for $\psi$ islarger than a Hilbert space, with plane waves automatically included. Finally,I use H-J theory to derive the momentum-position uncertainty relation, thusproving that in quantum mechanics, uncertainty arises from the interference ofthe other universes of the multiverse, not from some intrinsic indeterminism innature.



Author: Frank J. Tipler

Source: https://arxiv.org/







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