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Emergence of quantum mechanics from theory of random fields
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2017 (English)In: Journal of Russian Laser Research, ISSN 1071-2836, E-ISSN 1573-8760, Vol. 38, no 1, 9-26 p.Article in journal (Refereed) Published
Abstract [en]

Our aim in this paper is to enlighten the possibility to treat quantum mechanics as emergent from a kind of classical physical model, in spite of recent remarkable experiments demonstrating a violation of the Bell inequality. To proceed in a rigorous way, we use the methodology of ontic–epistemic modeling of physical phenomena. This methodology is rooted in the old Bild conception about theoretical and observational models in physics. This conception was elaborated in the fundamental works of Hertz, Boltzmann, and Schrödinger. Our ontic model (generating the quantum model) is of the random field type, prequantum classical statistical field theory (PCSFT). We present a brief review of its basic features without overloading the presentation by mathematical details. Then we show that the Bell inequality can be violated not only at the epistemic level, i.e., for observed correlations, but even at the ontic level, for classical random fields. We devote the important part of the paper to an analysis of the internal energy structure of prequantum random fields and their coupling with the background field of subquantum fluctuations. Finally, we present a unified picture of the microworld based on the composition of prequantum random fields from elementary fluctuations. Since quantum systems are treated as the symbolic representation of prequantum fields, this picture leads to a unifying treatment of all quantum systems as special blocks of elementary fluctuations carrying negligibly small energies.

Place, publisher, year, edition, pages
Springer, 2017. Vol. 38, no 1, 9-26 p.
Keyword [en]
violation of Bell inequality, ontic–epistemic methodology, statistical field theory, classical probabilistic modeling of quantum correlations, background field, elementary subquantum fluctuations
National Category
Physical Sciences Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-61497DOI: 10.1007/s10946-017-9616-xISI: 000396460500002OAI: oai:DiVA.org:lnu-61497DiVA: diva2:1083378
Available from: 2017-03-21 Created: 2017-03-21 Last updated: 2017-05-22Bibliographically approved

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Khrennikov, Andrei
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
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  • fi-FI
  • nn-NO
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  • Other locale
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