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Classical probability model for Bell inequality
Linnaeus University, Faculty of Technology, Department of Mathematics.ORCID iD: 0000-0002-9857-0938
2014 (English)Conference paper, Published paper (Refereed)
Abstract [en]

We show that by taking into account randomness of realization of experimental contexts it is possible to construct common Kolmogorov space for data collected for these contexts, although they can be incompatible. We call such a construction "Kolmogorovization" of contextuality. This construction of common probability space is applied to Bell's inequality. It is well known that its violation is a consequence of collecting statistical data in a few incompatible experiments. In experiments performed in quantum optics contexts are determined by selections of pairs of angles (θi'j) fixing orientations of polarization beam splitters. Opposite to the common opinion, we show that statistical data corresponding to measurements of polarizations of photons in the singlet state, e.g., in the form of correlations, can be described in the classical probabilistic framework. The crucial point is that in constructing the common probability space one has to take into account not only randomness of the source (as Bell did), but also randomness of context-realizations (in particular, realizations of pairs of angles (θi, θ'j)). One may (but need not) say that randomness of "free will" has to be accounted for.

Place, publisher, year, edition, pages
Institute of Physics (IOP), 2014. Article ID: 012019- p.
Series
Journal of Physics: Conference Series, ISSN 1742-6588 ; 504
National Category
Physical Sciences
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-34545DOI: 10.1088/1742-6596/504/1/012019ISI: 000336121900019OAI: oai:DiVA.org:lnu-34545DiVA: diva2:720820
Conference
2nd International Symposium on Emergent Quantum Mechanics (EmQM13), 3–6 October 2013, Vienna, Austria
Available from: 2014-06-02 Created: 2014-06-02 Last updated: 2016-05-03Bibliographically approved

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