The Relation between Wavefunction and 3D Space Implies Many Worlds with Local Beables and Probabilities

Abstract

We show that the quantum wavefunctional can be seen as a set of classical fields on the 3D space aggregated by a measure. We obtain a complete description of the wavefunctional in terms of classical local beables. With this correspondence, classical explanations of the macro level and of probabilities transfer almost directly to the quantum. A key difference is that, in quantum theory, the classical states coexist in parallel, so the probabilities come from self-location uncertainty. We show that these states are distributed according to the Born rule. The coexistence of classical states implies that there are many worlds, even if we assume the collapse postulate. This leads automatically to a new version of the many-worlds interpretation in which the major objections are addressed naturally. We show that background-free quantum gravity provides additional support for this proposal and suggests why branching happens toward the future.

Set Theory and Many Worlds

“…As Louis de Broglie once remarked, a Schrödinger wave is supposedly in configuration space but lacks configurations [21] (p. 381). There are currently other attempts to fix that by introducing local beäbles to many-worlds theory [22,23]. What I have been describing is a metaphysical framework that is independent of whatever physics may actually be involved.…”