Two Scenarios in the Description of the Wave-Corpuscle Duality in a Multifractal Theory of Motion

Gabriel Gavriluț; Mihail Frasila; Cristina-Marcela Rusu; Tudor-Cristian Petrescu; Iuliana Oprea

doi:10.2478/bipmf-2022-0014

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Two Scenarios in the Description of the Wave-Corpuscle Duality in a Multifractal Theory of Motion

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

Volume 68 (2022): Issue 3 (September 2022)

By: Gabriel Gavriluț, Mihail Frasila, Cristina-Marcela Rusu, Tudor-Cristian Petrescu and Iuliana Oprea

Open Access

|Apr 2023

Abstract

In the Scale Relativity Theory, wave-corpuscle duality is analyzed both in the Schrödinger and in the Madelung multifractal scenarios. Therefore, in the Schrödinger scenario, this duality implies the functionality of a multifractal sinus – Gordon differential equation based on 2×2 matrices of real variable elements, while in the Madelung scenario, the same duality implies the solving of the multifractal hydrodynamic equation system.

References

Nottale L., Scale Relativity and Fractal Space-Time. A New Approach to Unifying Relativity and Quantum Mechanics, Imperial College Press, London, 2011.
Search in Google Scholar Back to article
Agop M., Păun V.P., On the New Perspectives of Fractal Theory. Fundaments and Applications, Editura Academiei Române, București, 2017.
Search in Google Scholar Back to article
Mercheș I., Agop M., Differentiability and Fractality in Dynamics of Physical Systems, World Scientific Publishing House, 2015.
Search in Google Scholar Back to article
Mandelbrot B.B., The Fractal Geometry of Nature (Updated and augm. ed.), W.H. Freeman, New York, 1983.
Search in Google Scholar Back to article
Jackson E.A., Perspectives of Nonlinear Dynamics, Cambridge University Press, New York, 1993.
Search in Google Scholar Back to article
Cristescu C.P., Nonlinear Dynamics and Chaos. Theoretical Fundaments and Applications, Editura Academiei Române, București, 2008.
Search in Google Scholar Back to article
Mazilu N., Agop M., Skyrmions. A Great Finishing Touch to Classical Newtonian Philosophy, World Philosophy Series, Nova Science Publishers, New York, 2011.
Search in Google Scholar Back to article
Cuevas-Maraver J., Kevrekidis P. and Williams F., The sine-Gordon model and its applications. 1st ed. Springer Cham., 2014.
Search in Google Scholar Back to article
Lang S., Elliptic Functions, Springer, 2012.
Search in Google Scholar Back to article
Ernst F.J., New Formulation of the Axially Symmetric Gravitational Field Problem, Phys. Rev., Vol. 167, p. 1175, 1968.
Search in Google Scholar Back to article
Ernst F.J., New Formulation of the Axially Symmetric Gravitational Field Problem. II, Phys. Rev, Vol. 168, p. 1415, 1968.
Search in Google Scholar Back to article
Ernst F.J., Exterior-algebraic derivation of Einstein field equations employing a generalised basis, Journal of Math. Phys., Vol. 12, p. 2395, 1971.
Search in Google Scholar Back to article
Susskind L., Copenhagen vs Everett Teleportation, and ER ≡ EPR, arXiv: 1604.02589v2, 23 April, 2016.
Search in Google Scholar Back to article
Susskind L., ER ≡ EPR, GHZ, and the consistency of quantum measurements, Fortsch. Phys. 64, 72 (2016).
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/bipmf-2022-0014 | Journal eISSN: 2537-4990

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Language: English

Page range: 43 - 52

Submitted on: Aug 16, 2022

Accepted on: Sep 20, 2022

Published on: Apr 10, 2023

Published by: Gheorghe Asachi Technical University of Iasi

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Scale Relativity Theory,

Schrödinger scenario,

Madelung scenario,

wave-corpuscle duality

Related subjects:

Engineering,

Mechanical engineering,

Mechanics,

Materials sciences,

Materials sciences, other,

Physics,

Theoretical and mathematical physics,

Technical and applied physics

© 2023 Gabriel Gavriluț, Mihail Frasila, Cristina-Marcela Rusu, Tudor-Cristian Petrescu, Iuliana Oprea, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 68 (2022): Issue 3 (September 2022)