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

2011/09/27 by Warren K. Leffler, Warren Leffler, Leffler, Warren
Arts and Humanities · Chemistry · Physics and Astronomy · #History and advancements in chemistry #Philosophy and History of Science #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.48550/arxiv.1109.6049

arXiv admin note: substantial text overlap with arXiv:1104.4327

arxiv created 2011/09/27 · arxiv updated 2011/09/29

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".

Citations

• Examining a Hidden Assumption of Bell's Theorem and Counterexamples to Bell's Theorem in the Space of All Paths for a Quantum System

Related

• Examining a Hidden Assumption of Bell's Theorem and Counterexamples to Bell's Theorem in the Space of All Paths for a Quantum System
• Failure of the Bell Locality Condition over a Space of Ideal Particles and their Paths
• Bell inequalities and hidden variables over all possible paths in a quantum system
• The shadow system in coordinate space: The shadow system in coordinate space: A locally explicable system that violates Bell's inequality
• The shadow interpretation versus quantum paradoxes