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

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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.

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Item Type:	Preprint
Creators:	Creators Email ORCID Christian, Joy
Keywords:	Bell's theorem, Local causality, EPR argument, Elements of physical reality, Topology.
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr. Joy Christian
Date Deposited:	28 May 2010
Last Modified:	07 Oct 2010 15:19
Item ID:	5374
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	May 2010
URI:	https://philsci-archive.pitt.edu/id/eprint/5374

Available Versions of this Item

• Failure of Bell's Theorem and the Local Causality of the Entangled Photons. (deposited 28 May 2010) [Currently Displayed]
  • Failure of Bell's Theorem and the Local Causality of the Entangled Photons. (deposited 08 Jul 2010)

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