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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2016, Volume 20, Number 3, Pages 423–456 (Mi vsgtu1484)  

This article is cited in 1 scientific paper (total in 1 paper)

Differential Equations and Mathematical Physics

Nonlocal transformation of the internal quantum particle structure

A. Yu. Samarin

Samara State Technical University, Samara, 443100, Russian Federation

Abstract: The analysis of the integral wave equation, having path integral kernel, has resulted, that collapse phenomenon is based on the nonlocal transformation of the internal structure of a quantum particle, considering in the form of the matter fields collection. This nonlocality allows to escape the contradiction between the reduction quantum mechanics postulate and special relativity. It is shown, that the wave function transformation, corresponding to von Neumann's reduction, has the deterministic nature and the quantum mechanics stochasticity is a consequence of a macroscopic measurer presence in the measuring process. Besides it is demonstrated, that the decogerence phenomenon has the same mechanism of the wave function transformation.
EPR-type experiment is described in detail and the possibility of the faster-then light communication is proved, as well the possible rules of thumb of this communication are proposed.

Keywords: path integral, wave function collapse, quantum entanglement, EPR paradox, measurement theory, decogerence, faster-then-light communication

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 1286
This work was supported by the Russian Ministry of Education and Science within the base portion of the state task to Samara State Technical University (project no. 1286).


DOI: https://doi.org/10.14498/vsgtu1484

Full text: PDF file (666 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

Document Type: Article
UDC: 517.958:530.145:512
MSC: 81S40, 58D30
Original article submitted 14/III/2016
revision submitted – 22/VIII/2016

Citation: A. Yu. Samarin, “Nonlocal transformation of the internal quantum particle structure”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:3 (2016), 423–456

Citation in format AMSBIB
\Bibitem{Sam16}
\by A.~Yu.~Samarin
\paper Nonlocal transformation of the internal quantum particle structure
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2016
\vol 20
\issue 3
\pages 423--456
\mathnet{http://mi.mathnet.ru/vsgtu1484}
\crossref{https://doi.org/10.14498/vsgtu1484}
\zmath{https://zbmath.org/?q=an:06964519}
\elib{http://elibrary.ru/item.asp?id=28282242}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. Yu. Samarin, “Nonlinear dynamics of open quantum systems”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 22:2 (2018), 214–224  mathnet  crossref  zmath  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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