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An elementary topological error in Bell's representation of the EPR elementsof reality is identified. Once recognized, it leads to a topologically correctlocal-realistic framework that provides exact, deterministic, and localunderpinning of at least the Bell, GHZ-3, GHZ-4, and Hardy states. Thecorrelations exhibited by these states are shown to be exactly the classicalcorrelations among the points of a 3 or 7-sphere, both of which are closedunder multiplication, and hence preserve the locality condition of Bell. Thealleged non-localities of these states are thus shown to result frommisidentified topologies of the EPR elements of reality. When topologies arecorrectly identified, local-realistic completion of any arbitrary entangledstate is always guaranteed in our framework. This vindicates EPR, and entailsthat quantum entanglement is best understood as an illusion.

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