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Three-body system metaphor for the two-slit experiment and Escherichia coli lactose-glucose metabolism
Tokuyama College of Technology, Japan.
Linnaeus University, Faculty of Technology, Department of Mathematics. (Int Ctr Math Modeling Phys & Cognit Sci)
Tokyo University of Science, Japan.
Tokyo University of Science, Japan.
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2016 (English)In: Philosophical Transactions. Series A: Mathematical, physical, and engineering science, ISSN 1364-503X, E-ISSN 1471-2962, Vol. 374, no 2068, 20150243Article in journal (Refereed) Published
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Abstract [en]

We compare the contextual probabilistic structures of the seminal two-slit experiment (quantum interference experiment), the system of three interacting bodies and Escherichia coli lactose-glucose metabolism. We show that they have the same non-Kolmogorov probabilistic structure resulting from multi-contextuality. There are plenty of statistical data with non-Kolmogorov features; in particular, the probabilistic behaviour of neither quantum nor biological systems can be described classically. Biological systems (even cells and proteins) are macroscopic systems and one may try to present a more detailed model of interactions in such systems that lead to quantum-like probabilistic behaviour. The system of interactions between three bodies is one of the simplest metaphoric examples for such interactions. By proceeding further in this way (by playing with n-body systems) we shall be able to find metaphoric mechanical models for complex bio-interactions, e.g. signalling between cells, leading to non-Kolmogorov probabilistic data.

Place, publisher, year, edition, pages
2016. Vol. 374, no 2068, 20150243
Keyword [en]
quantum interference, contextuality, glucose preference, three-body system
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-53330DOI: 10.1098/rsta.2015.0243ISI: 000376159700012Scopus ID: 2-s2.0-84964026652OAI: oai:DiVA.org:lnu-53330DiVA: diva2:935414
Available from: 2016-06-10 Created: 2016-06-10 Last updated: 2016-09-07Bibliographically approved

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Khrennikov, Andrei
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CiteExportLink to record
Permanent link

Direct link
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