The Space of all Paths for a Quantum System: Revisiting EPR and Bell's Theorem

TL;DR

This paper challenges Bell's theorem by introducing a non-measurable space of all paths that replicates quantum predictions, providing counterexamples and implications for interpretations of quantum mechanics.

Contribution

It identifies a hidden assumption in Bell's theorem and proposes a non-measurable path space model that offers new insights into quantum correlations.

Findings

Counterexamples to Bell's theorem using the space of all paths

Constraints on interpretations of quantum mechanics

Limitations on Bell-like arguments for multiple particles

Abstract

In this paper we identify a hidden premise in Bell's theorem: measurability of the underlying space. But our system (the space of all paths, SP) is not measurable, although it replicates the predictions of standard quantum mechanics. Using it we present three counterexamples to Bell's theorem and also show why Bell-like arguments for more than two particles cannot be carried out in this model. Moreover, we show that the result places severe constraints on possible viable interpretations of quantum mechanics: Either an interpretation must in some form represent a quantum system in terms of all paths within the system or, alternatively, the interpretation must harbor "action at a distance".