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

Christian, Joy (2010) Failure of Bell's Theorem and the Local Causality of the Entangled Photons. [Preprint]

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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.

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Item Type: Preprint
Christian, Joy
Keywords: Bell's theorem, Local causality, EPR argument, Elements of physical reality, Topology.
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Joy Christian
Date Deposited: 28 May 2010
Last Modified: 07 Oct 2010 15:19
Item ID: 5374

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