Failure of Bell's Theorem and the Local Causality of the Entangled Photons.
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.
Available Versions of this Item
Failure of Bell's Theorem and the Local Causality of the Entangled Photons. (deposited 28 May 2010)
Monthly Views for the past 3 years
Monthly Downloads for the past 3 years
Actions (login required)