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Disproofs of Bell, GHZ, and Hardy Type Theorems and the Illusion of Entanglement

Christian, Joy (2009) Disproofs of Bell, GHZ, and Hardy Type Theorems and the Illusion of Entanglement. [Preprint]

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Abstract

An elementary topological error in Bell's representation of the EPR elements of reality is identified. Once recognized, it leads to a topologically correct local-realistic framework that provides exact, deterministic, and local underpinning of at least the Bell, GHZ-3, GHZ-4, and Hardy states. The correlations exhibited by these states are shown to be exactly the classical correlations among the points of a 3 or 7-sphere, both of which are closed under multiplication, and hence preserve the locality condition of Bell. The alleged non-localities of these states are thus shown to result from misidentified topologies of the EPR elements of reality. When topologies are correctly identified, local-realistic completion of any arbitrary entangled state is always guaranteed in our framework. This vindicates EPR, and entails that quantum entanglement is best understood as an illusion.

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Item Type: Preprint
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Christian, Joy
Keywords: Bell's Theorem; Local Realism; EPR Argument; Non-locality
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Joy Christian
Date Deposited: 24 Jun 2009
Last Modified: 07 Oct 2010 15:18
Item ID: 4729
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: June 2009
URI: https://philsci-archive.pitt.edu/id/eprint/4729

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