Indeterministic Objects in the Category of Effect Algebras and the Passage to the Semiclassical Limit

Author: Artur Ruuge

Source: International Journal of Theoretical Physics, Volume 43, Number 12, December 2004 , pp. 2325-2354(30)

Publisher: Springer

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Abstract:

We consider a category of effect algebras and formulate an abstract-hidden variables problem for an object of this category. A notion of indeterministic object is introduced as of an object which induces a Kochen–Specker-type contradiction. A sufficient condition for an object to be indeterministic is derived. An abstract algebraic point of view on a no-hidden variables example constructed by Mermin is given. The notion of a passage to the semiclassical limit is analyzed and refined.

Keywords: effect algebra; Kochen–Specker; semiclassical limit

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10773-004-7703-6

Affiliations: 1: Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium, Email: artur.ruuge@ua.ac.be; arthur@bior.phys.msu.su

Publication date: 2004-12-01