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Quantum epistemology from subquantum ontology: Quantum mechanics from theory of classical random fields
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys Engn Econ & Cognit Sci)ORCID iD: 0000-0002-9857-0938
2017 (English)In: Annals of Physics, ISSN 0003-4916, E-ISSN 1096-035X, Vol. 377, p. 147-163Article in journal (Refereed) Published
Abstract [en]

The scientific methodology based on two descriptive levels, ontic (reality as it is) and epistemic (observational), is briefly presented. Following Schrodinger, we point to the possible gap between these two descriptions. Our main aim is to show that, although ontic entities may be unaccessible for observations, they can be useful for clarification of the physical nature of operational epistemic entities. We illustrate this thesis by the concrete example: starting with the concrete ontic model preceding quantum mechanics (the latter is treated as an epistemic model), namely, prequantum classical statistical field theory (PCSFT), we propose the natural physical interpretation for the basic quantum mechanical entity-the quantum state ("wave function"). The correspondence PCSFT bar right arrow QM is not straightforward, it couples the covariance operators of classical (prequantum) random fields with the quantum density operators. We use this correspondence to clarify the physical meaning of the pure quantum state and the superposition principle-by using the formalism of classical field correlations. (C) 2016 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
Academic Press, 2017. Vol. 377, p. 147-163
Keywords [en]
Subquantum models, Ontic-epistemic description, Prequantum classical statistical field theory, Correlations of classical random fields, Density operators, Superposition principle
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-64223DOI: 10.1016/j.aop.2016.12.005ISI: 000394197800014Scopus ID: 2-s2.0-85009289919OAI: oai:DiVA.org:lnu-64223DiVA, id: diva2:1098099
Available from: 2017-05-23 Created: 2017-05-23 Last updated: 2019-08-29Bibliographically approved

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Khrennikov, Andrei

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