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

Author: Artur Ruuge1

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

Publisher: Springer

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

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: 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

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$47.00 plus tax      Refund Policy

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Share this item with others: These icons link to social bookmarking sites where readers can share and discover new web pages.
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A