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Physics Beyond The Set: Theoretic Axiom of Foundation
Växjö University, Faculty of Mathematics/Science/Technology, School of Mathematics and Systems Engineering. (mathematics)ORCID iD: 0000-0002-9857-0938
2009 (English)In: Foundations of Probability and Physics-5 / [ed] Luigi Accardi (Editor), Guillaume Adenier (Editor), Andrei Y. Khrennikov (Editor), Christopher Fuchs (Editor), Gregg Jaeger Gregg Jaeger (Editor) › Visit Amazon's Gregg Jaeger Page Find all the books, read about the author, and more. See search results for this author Are you an author? Learn about Author Central (Editor), Jan-Ake Larsson (Editor), Stig Stenholm (Editor), AIP , 2009, p. 374-380Conference paper, Published paper (Refereed)
Abstract [en]

Classicalmechanics implicitly use Archimedes' axiom, according to that everything maybe measured by a rigid scale. Uncertainty in quantum mechanicsshows the limits of applying Archimedes' axiom. The negation ofArchimedes' axiom is derivative from the negation of the set-theoreticaxiom of foundation. The latter postulates that the set-membership relationis well-founded: for every set there exists no infinitely descendingchain. Denying the foundation axiom in number systems implies settinga non-Archimedean ordering structure. The main claim of our paperis that physical reality may be regarded as non-well-founded inthe framework of probabilities distributed on non-Archimedean ordering structures, inparticular, distributed on p-adic numbers

Place, publisher, year, edition, pages
AIP , 2009. p. 374-380
Series
AIP Conference Proceedings ; 1101
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:vxu:diva-7258DOI: 10.1063/1.3109965OAI: oai:DiVA.org:vxu-7258DiVA, id: diva2:299661
Conference
Foundations of Probability and Physics-5
Available from: 2010-02-23 Created: 2010-02-23 Last updated: 2016-05-03Bibliographically approved

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Publisher's full texthttp://scitation.aip.org/proceedings/confproceed/1101.jsp

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Khrennikov, Andrei

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CiteExportLink to record
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  • apa
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