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

TL;DR

This paper proposes a new many-worlds interpretation of quantum mechanics based on a classical fields perspective, where wavefunction states coexist in parallel and probabilities arise from self-location uncertainty, supported by quantum gravity insights.

Contribution

It introduces a classical fields framework for the wavefunctional, linking it to local beables and providing a natural explanation for many-worlds and probabilities within quantum theory.

Findings

Wavefunctional can be represented as classical fields on 3D space.

Probabilities follow the Born rule from self-location uncertainty.

Background-free quantum gravity supports the many-worlds interpretation.

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.