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

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.

26 pages; Bell's incomplete accounting of the EPR elements of reality is made more evident. See also arXiv:quant-ph/0703179v2, arXiv:0707.1333v2, arXiv:0806.3078v1, and arXiv:1005.4932v2

References in corpus (5)

• Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables
• Can Bell's Prescription for Physical Reality Be Considered Complete?
• Failure of Bell's Theorem and the Local Causality of the Entangled Photons
• Disproof of Bell's Theorem: Reply to Critics
• Disproof of Bell's Theorem: Further Consolidations

Cited by in corpus (7)

• What Really Sets the Upper Bound on Quantum Correlations?
• Failure of Bell's Theorem and the Local Causality of the Entangled Photons
• Refutation of Richard Gill's Argument Against my Disproof of Bell's Theorem
• On the Origins of Quantum Correlations
• Refutation of Some Arguments Against my Disproof of Bell's Theorem
• Whither All the Scope and Generality of Bell's Theorem?
• From a 1D completed scattering and double slit diffraction to the quantum-classical problem: A new approach