2010/07/26 by Frank J. Tipler, Tipler, Frank J. · 1 citation
Arts and Humanities · Physics and Astronomy · #FOS: Physical sciences #Philosophy and History of Science #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1007.4566
openalex publication_date 2010/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
I show that the classical Hamilton-Jacobi (H-J) equation can be used as a\ntechnique to study quantum mechanical problems. I first show that the the\nSchr "odinger equation is just the classical H-J equation, constrained by a\ncondition that forces the solutions of the H-J equation to be everywhere C2.\nThat is, quantum mechanics is just classical mechanics constrained to ensure\nthat ``God does not play dice with the universe.'' I show that this condition,\nwhich imposes global determinism, strongly suggests that \ψ^*\ψ measures\nthe density of universes in a multiverse. I show that this interpretation\nimplies the Born Interpretation, and that the function space for \ψ is\nlarger than a Hilbert space, with plane waves automatically included. Finally,\nI use H-J theory to derive the momentum-position uncertainty relation, thus\nproving that in quantum mechanics, uncertainty arises from the interference of\nthe other universes of the multiverse, not from some intrinsic indeterminism in\nnature.\n