David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Michael Stöltzner (2002). Bell, Bohm, and von Neumann: Some Philosophical Inequalities Concerning No-Go Theorems and the Axiomatic Method. In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer 37--58.
Geoffrey Hellman (1982). Stochastic Locality and the Bell Theorems. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:601-615.
Tomasz Placek (2000). Stochastic Outcomes in Branching Space-Time: Analysis of Bell's Theorem. British Journal for the Philosophy of Science 51 (3):445-475.
Chrysovalantis Stergiou (2012). Two Comments on the Common Cause Principle in Algebraic Quantum Field Theory. In Henk W. de Regt (ed.), Epsa Philosophy of Science: Amsterdam 2009. Springer 387--402.
Travis Norsen (2009). Local Causality and Completeness: Bell Vs. Jarrett. [REVIEW] Foundations of Physics 39 (3):273-294.
Brian Skyrms (1982). Counterfactual Definiteness and Local Causation. Philosophy of Science 49 (1):43-50.
Peter Milne (2004). Algebras of Intervals and a Logic of Conditional Assertions. Journal of Philosophical Logic 33 (5):497-548.
Federico Laudisa (2008). Non-Local Realistic Theories and the Scope of the Bell Theorem. Foundations of Physics 38 (12):1110-1132.
Giuseppe Gembillo (2007). Analogy Between the Theorem of Pythagoras and the Relations of Uncertainty of Heisenberg. World Futures 63 (1):38 – 41.
Added to index2009-01-28
Total downloads23 ( #157,596 of 1,789,999 )
Recent downloads (6 months)7 ( #122,579 of 1,789,999 )
How can I increase my downloads?