Abstract

Schrödinger’s coinage of particle entanglement is deconstructed to pertain merely to the exchangeability of quantum probabilities, which is fundamental to their specification. I display the space of all exchangeable distributions over a pair of ±1 random variables geometrically, and identify the quantum distributions within it. These constitute a line dividing the plane of exchangeable distributions that sit within the space of all coherent distributions. The quantum line intersects the full manifold of independent distributions in one unique point. However, there is nothing otherwise unusual about the quantum distributions ... surely nothing that suggests any entanglement of the particles themselves. Rather, the distributions represent symmetric uncertainties about the conditions of particle behavior. This is a common feature of scientific inference about observable behaviour at any scale. The presentation continues to display the regions of increasing extendability of exchangeable distributions, so to characterize the extendability of two particle quantum analysis. The analysis resolves the issues that were addressed in the GHSZ investigations, which have been found to be mistaken. Rather than being peculiar to quantum theory, the exchangeable quantum distributions are shown to be applicable to distributions of physical mechanics at all scales, including those of a bowling ball and agricultural experimentation. The touted property of quantum particle entanglement is a misnomer. Einstein’s view of quantum probabilities as representing symmetric uncertainty about the relevance of supplementary variables finds technical support.

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