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What Really Sets the Upper Bound on Quantum Correlations?

Christian, Joy (2011) What Really Sets the Upper Bound on Quantum Correlations? [Preprint]

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    Abstract

    The discipline of parallelization in the manifold of all possible measurement results is shown to be responsible for the existence of all quantum correlations, with the upper bound on their strength stemming from the maximum of possible torsion within all norm-composing parallelizable manifolds. A profound interplay is thus uncovered between the existence and strength of quantum correlations and the parallelizability of the spheres S^0, S^1, S^3, and S^7 necessitated by the four real division algebras. In particular, parallelization within a unit 3-sphere is shown to be responsible for the existence of EPR and Hardy type correlations, whereas that within a unit 7-sphere is shown to be responsible for the existence of all GHZ type correlations. Moreover, parallelizability in general is shown to be equivalent to the completeness criterion of EPR, in addition to necessitating the locality condition of Bell. It is therefore shown to predetermine both the local outcomes as well as the quantum correlations among the remote outcomes, dictated by the infinite factorizability of points within the spheres S^3 and S^7. The twin illusions of quantum entanglement and non-locality are thus shown to stem from the topologically incomplete accountings of the measurement results.


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    Item Type: Preprint
    Keywords: Quantum Correlations, EPR argument, Completeness Criterion, Bell's Theorem, Division Algebras, Teleparallel Gravity
    Subjects: Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Joy Christian
    Date Deposited: 16 Jan 2011 09:26
    Last Modified: 16 Jan 2011 09:26
    Item ID: 8457
    URI: http://philsci-archive.pitt.edu/id/eprint/8457

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