Failure of Bell's Theorem and the Local Causality of the Entangled Photons

Abstract

A counterexample to Bell's theorem is presented which uses a pair of photons instead of spin-1/2 particles used in our previous counterexamples. A locally causal protocol is provided for Alice and Bob, which allows them to simulate observing photon polarizations at various angles, and record their results as A=+/-1 in S^3 and B=+/-1 in S^3, respectively. When these results are compared, the correlations are seen to be exactly those predicted by quantum mechanics; namely cos 2(alpha - beta), where alpha and beta are the angles of polarizers. The key ingredient in our counterexample is the topology of 3-sphere, which remains closed under multiplication, thus preserving the locality condition of Bell.

arXiv comment4 pages; Further elaborations may be found in arXiv:0904.4259, arXiv:quant-ph/0703179, arXiv:0707.1333, arXiv:0806.3078, and arXiv:quant-ph/0703244

References in corpus (3)

• Disproof of Bell's Theorem by Clifford Algebra Valued Local Variables
• Can Bell's Prescription for Physical Reality Be Considered Complete?
• Disproofs of Bell, GHZ, and Hardy Type Theorems and the Illusion of Entanglement

Cited by in corpus (6)

• What Really Sets the Upper Bound on Quantum Correlations?
• Disproofs of Bell, GHZ, and Hardy Type Theorems and the Illusion of Entanglement
• Refutation of Richard Gill's Argument Against my Disproof of Bell's Theorem
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• The Einstein-Podolsky-Rosen Paradox and SU(2) relativity
• Refutation of Some Arguments Against my Disproof of Bell's Theorem