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Measurement problem: from De Broglie to theory of classical random fields interacting with threshold detectors
Linnaeus University, Faculty of Technology, Department of Mathematics. (mathematgics)ORCID iD: 0000-0002-9857-0938
2013 (English)In: Journal of Physics, Conference Series, ISSN 1742-6588, E-ISSN 1742-6596, Vol. 442, Article ID: 012011- p.Article in journal (Refereed) Published
Abstract [en]

The quantum measurement problem as was formulated by von Neumann in 1933 can be solved by going beyond the operational quantum formalism. In our "prequantum model" quantum systems are symbolic representations of classical random fields. The Schrödinger's dynamics is a special form of the linear dynamics of classical fields. Measurements are described as interactions of classical fields with detectors. Discontinuity, the "collapse of the wave function", has the trivial origin: usage of threshold type detectors. The von Neumann projection postulate can be interpreted as the formal mathematical encoding of the absence of coincidence detection in measurement on a single quantum system, e.g., photon's polarization measurement. Our model, prequantum classical statistical field theory (PCSFT), in combination with measurements by threshold detectors satisfies the quantum restriction on coincidence detections: the second order coherence is less than one (opposite to all known semiclassical and classical feld models). The basic rule of quantum probability, the Born's rule, is derived from properties of prequantum random felds interacting with threshold type detectors. Comparison with De Broglie's views to quantum mechanics as theory of physical waves with singularities is presented.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2013. Vol. 442, Article ID: 012011- p.
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-28317DOI: 10.1088/1742-6596/442/1/012011ISI: 000322175500011Scopus ID: 2-s2.0-84881456997OAI: oai:DiVA.org:lnu-28317DiVA: diva2:642206
Conference
6TH INTERNATIONAL WORKSHOP DICE2012 SPACETIME - MATTER - QUANTUM MECHANICS: FROM THE PLANCK SCALE TO EMERGENT PHENOMENA
Available from: 2013-08-21 Created: 2013-08-21 Last updated: 2017-12-06Bibliographically approved

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Khrennikov, Andrei

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CiteExportLink to record
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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
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf