PhilSci Archive

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]

This is the latest version of this item.

[img]
Preview
PDF
Download (132Kb) | Preview

    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.


    Export/Citation:EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
    Social Networking:

    Item Type: Preprint
    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: 08 Jul 2010
    Last Modified: 07 Oct 2010 11:19
    Item ID: 5463
    URI: http://philsci-archive.pitt.edu/id/eprint/5463

    Available Versions of this Item

    Actions (login required)

    View Item

    Document Downloads