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Born's Rule from Measurements of Classical Random Signals under the Assumption of Ergodicity at the Subquantum Time Scale
Linnaeus University, Faculty of Science and Engineering, School of Computer Science, Physics and Mathematics.ORCID iD: 0000-0002-9857-0938
2012 (English)In: Open systems & information dynamics, ISSN 1230-1612, E-ISSN 1573-1324, Vol. 19, no 3, Article ID: 1250019- p.Article in journal (Refereed) Published
Abstract [en]

The very old problem of the statistical content of quantum mechanics is studied in a novel framework. We show that quantum mechanics (QM) can be considered as a measurement model of prequantum classical statistical field theory (PCSFT): a pure field theory reproducing quantum correlations. We present a measurement scheme for classical signals which reproduces the basic rule of QM, the Born's rule. This is the scheme of threshold type detection. Calibration of detectors plays a crucial role. The size of the detection threshold is determined by the mean energy of a prequantum signal. QM is interpreted as theory of measurements of classical random signals with threshold type detectors which are calibrated in a proper way. The essence of this paper is the creation of a rigorous mathematical model of threshold detection of classical (ergodic) stochastic processes.

Place, publisher, year, edition, pages
2012. Vol. 19, no 3, Article ID: 1250019- p.
National Category
Mathematics
Research subject
Natural Science, Mathematics
Identifiers
URN: urn:nbn:se:lnu:diva-22300DOI: 10.1142/S1230161212500199ISI: 000309188800004OAI: oai:DiVA.org:lnu-22300DiVA: diva2:565206
Available from: 2012-11-06 Created: 2012-11-06 Last updated: 2016-05-03Bibliographically approved

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Khrennikov, Andrei
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