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

Autor:	Artur E. Ruuge
Rok vydání:	2004
Předmět:	Discrete mathematics Pure mathematics Physics and Astronomy (miscellaneous) Physics General Mathematics Effect algebra Semiclassical physics Quantum Physics Object (philosophy) Physics::History of Physics Limit (category theory) Point (geometry) Algebraic number Mathematics
Zdroj:	International journal of theoretical physics
ISSN:	1572-9575 0020-7748
DOI:	10.1007/s10773-004-7703-6
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42c8ca47513e54e28a6fb74cacfc9012 https://doi.org/10.1007/s10773-004-7703-6 Zobrazit plný text záznamu Plný text ve formátu PDF