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Bell's Theorem, Uncertainty, and Conditional Events

Durham, Ian (2005) Bell's Theorem, Uncertainty, and Conditional Events. [Preprint]

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    Abstract

    This article explores a relationship between the generalized form of Heisenberg’s uncertainty relations and Bell-type inequalities in the context of their associated algebras. I begin by exploring the algebraic and logical background for each, drawing parallels and a noticeable symmetry. In addition I describe a thought experiment linking the conceptual foundation of one to a mathematical representation of the other. Finally, I explore the requirements for a more inscrutable relationship between the two pointing out the tantalizing questions this suggestion raises as well as potential answers. The purpose of this article is to show that there is more to this relationship than meets the eye and suggests that a very general Bell-like theorem can be interpreted as a limiting case of the broader generalized uncertainty principle.


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    Item Type: Preprint
    Additional Information: Seeking constructive feedback.
    Keywords: Bell's theorem, uncertainty principle, conditional events, Boolean algebra, matrix algebra, causation
    Subjects: General Issues > Causation
    General Issues > Determinism/Indeterminism
    General Issues > Realism/Anti-realism
    Specific Sciences > Physics > Quantum Mechanics
    Depositing User: Ian Durham
    Date Deposited: 28 Jul 2005
    Last Modified: 07 Oct 2010 11:13
    Item ID: 2378
    URI: http://philsci-archive.pitt.edu/id/eprint/2378

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