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
Creators:	Creators Email ORCID Durham, Ian
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 15:13
Item ID:	2378
Subjects:	General Issues > Causation General Issues > Determinism/Indeterminism General Issues > Realism/Anti-realism Specific Sciences > Physics > Quantum Mechanics
Date:	July 2005
URI:	https://philsci-archive.pitt.edu/id/eprint/2378

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