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Quantum rule for detection probability from Brownian motion in the space of classical fields

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Abstract

We obtain Born’s rule from the classical theory of random waves in combination with the use of thresholdtype detectors. We consider a model of classical random waves interacting with classical detectors and reproducing Born’s rule. We do not discuss complicated interpretational problems of quantum foundations. The reader can select between the “weak interpretation,” the classical mathematical simulation of the quantum measurement process, and the “strong interpretation,” the classical wave model of the real quantum (in fact, subquantum) phenomena.

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Authors and Affiliations

  1. International Center for Mathematical Modelling in Physics and Cognitive Sciences, Linnaeus University, Växjö, Sweden

    A. Yu. Khrennikov, B. Nilsson & S. Nordebo

Authors
  1. A. Yu. Khrennikov
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  2. B. Nilsson
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  3. S. Nordebo
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Correspondence to A. Yu. Khrennikov.

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Dedicated to the memory of Vasilli Sergeevich Vladimirov

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 174, No. 2, pp. 342–352, February, 2013.

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Khrennikov, A.Y., Nilsson, B. & Nordebo, S. Quantum rule for detection probability from Brownian motion in the space of classical fields. Theor Math Phys 174, 298–306 (2013). https://doi.org/10.1007/s11232-013-0027-z

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