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Indeterministic Objects in the Category of Effect Algebras and the Passage to the Semiclassical Limit
Authors:Artur?E.?Ruuge  author-information"  >  author-information__contact u-icon-before"  >  mailto:artur.ruuge@ua.ac.be   arthur@bior.phys.msu.su"   title="  artur.ruuge@ua.ac.be   arthur@bior.phys.msu.su"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Mathematics and Computer Science, University of Antwerp, Antwerp, Belgium
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
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