Electrostatic Interaction in Stochastic Electrodynamics

Ion Simaciu; Zoltan Borsos; Viorel Drafta; Gheorghe Dumitrescu

doi:10.2478/bipmf-2022-0017

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Electrostatic Interaction in Stochastic Electrodynamics

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

Volume 68 (2022): Issue 4 (December 2022)

By: Ion Simaciu, Zoltan Borsos, Viorel Drafta and Gheorghe Dumitrescu

Open Access

|Jun 2023

Abstract

In this paper, the expression of the electrostatic interaction force between two charged particles is derived in the framework of Stochastic Electrodynamics. The fundamental assumption is that the electrically charged particle can be modeled as a two-dimensional oscillator that scatters the classical zero point field background radiation. The correct expression of the electrostatic force is obtained if the natural pulsation of the oscillator is equal to the Zitterbewegung angular velocity.

References

Braffort P. and Tzara C., Energie de l’oscilateur harmonique dans le vide, C. R. Acad. Sci. Paris, 239, p. 1779, (1954).
Search in Google Scholar Back to article
Braffort P., Surdin M. and Taroni A., L’énergie Moyenne d’un Oscillateur Harmonique Non Relativiste en Electrodynamique Aleatoire, C. R. Acad. Sci., 261, p. 4339, (1965).
Search in Google Scholar Back to article
Surdin M., Stochastic Electrodynamics an Overview. In: van der Merwe A. (eds) Old and New Questions in Physics, Cosmology, Philosophy, and Theoretical Biology. Springer, Boston, MA. (1983), https://doi.org/10.1007/978-1-4684-8830-2_33
Search in Google Scholar Back to article
Wheller I.A. and Feynman R., Interaction with the Absorber as the Mecanism of Radiation, Rev., Mod. Phys., 17, 157, (1959).
Search in Google Scholar Back to article
Marshall T.W., Random electrodynamics, Proc. R. Soc. London, Ser. A, 276, 475, (1963).
Search in Google Scholar Back to article
Marshall T.W., Statistical electrodynamics, Proc. Cambridge Phil. Soc. 61, 537, (1965).
Search in Google Scholar Back to article
Boyer T.H., Quantum electromagnetic zero-point energy and retarded dispersion forces, Phys. Rev., 174, 1631 (1968).
Search in Google Scholar Back to article
Boyer T.H., A Brief Survey of Stochastic Electrodynamics, In: Barut A. O. (Eds.) Foundations of Radiation Theory and Quantum Electrodynamics. Springer, Boston, MA., (1980), https://doi.org/10.1007/978-1-4757-0671-05
Search in Google Scholar Back to article
Boyer T.H., Stochastic Electrodynamics: The Closest Classical Approximation to Quantum Theory, Atoms. 7, 1, 29-39, (2019).
Search in Google Scholar Back to article
de la Peña-Auerbach L. and Cetto A.M., Quantum mechanics derived from stochastic electrodynamics, Found. Phys., 8, 3-4, 191, (1978).
Search in Google Scholar Back to article
de la Peña-Auerbach L. and Cetto A.M, The quantum dice: an introduction to stochastic electrodynamics, Kluwer Academic Publishers, Dordrecht, The Netherlands, p. 528, (1996), ISBN 0-7923-3818-9.
Search in Google Scholar Back to article
Boyer T.H., Random Electrodynamics: The theory of classical electrodynamics with classical electromagnetic zero-point radiation, Phys. Rev. D, 11, 790, (1975).
Search in Google Scholar Back to article
Boyer T.H., General Connection Between Random Electrodynamics and Quantum Electrodynamics for Free Electromagnetic Fields and for Dipol Oscillator Systems, Phys. Rev. D, 11, 809, (1975).
Search in Google Scholar Back to article
Marshall T.W., A classical treatment of blackbody radiation, Nuovo Cimento, 38, 1, pp. 206-215, (1965).
Search in Google Scholar Back to article
Boyer T.H., Asymptotic Retarded van der Waals Forces Derived from Classical Electrodynamics with Classical Electromagnetic Zero-Point Radiation, Phys. Rev. A, 5, p. 1799, (1972).
Search in Google Scholar Back to article
Boyer T.H., Van der Waals forces and zero-point energy for dielectric and permeable materials, Phys. Rev. A, 9, p. 2078, (1974).
Search in Google Scholar Back to article
Boyer T.H., Retarded van der Waals forces at all distances derived from classical electrodynamics with classical electromagnetic zero-point radiation, Phys. Rev. A, 7, p. 1832, (1973).
Search in Google Scholar Back to article
Boyer T.H., Quantum Electromagnetic Zero - Point Energy of Conducting Spherical Shell and Casimir Model for a Charged Particle, Phys. Rev., 174, p. 1764, (1968).
Search in Google Scholar Back to article
Surdin M., Braffort P. and Taroni A., Black-body radiation law deduced from stochastic electrodynamics, Nature 210, 405, (1966).
Search in Google Scholar Back to article
Boyer T.H., Derivation of the blackbody radiation spectrum from the equivalence principle in classical physics with classical electromagnetic zeropoint radiation, Phys. Rev. D29, 1096, (1984).
Search in Google Scholar Back to article
Boyer T.H., Thermodynamics of the harmonic oscillator: derivation of the Planck blackbody spectrum from pure thermodynamics, European Journal of Physics, Volume 40, Issue 2, p. 025101, (2019).
Search in Google Scholar Back to article
Boyer T.H., Third Law of Thermodynamics and Electromagnetic Zero-Point Radiation, Phys. Rev. D1, 1526, (1970).
Search in Google Scholar Back to article
Boyer T.H., Specific Heat of a Classical, Plane, Rigid, Dipole Rotator in Electromagnetic Zero-Point Radiation, Phys. Rev. D1, 2257, (1970).
Search in Google Scholar Back to article
Boyer T.H., Diamagnetism of a free particle in classical electron theory with classical electromagnetic zero-point radiation, Phys. Rev. A 21, 66, (1980).
Search in Google Scholar Back to article
de la Peña-Auerbach L. and Jauregui A., Stochastic electrodynamics for the free particle, J. Math. Phys.24, 2751, (1983).
Search in Google Scholar Back to article
Boyer T.H., Thermal effects of acceleration for a classical dipole oscillator in classical electromagnetic zero-point radiation, Phys. Rev. D 29, 1089, (1984).
Search in Google Scholar Back to article
Cole D.C., Thermal Effects of Acceleration for a Spatially Extended Electromagnetic System in Classical Electromagnetic Zero Point Radiation: Transversely Positioned Classical Oscillators, Phys. Rev. D 35, 562-583, (1987).
Search in Google Scholar Back to article
Boyer T.H., Classical and Quantum Interpretations Regarding Thermal Behavior in a Coordinate Frame Accelerating Through Zero-Point Radiation, arXiv:1011.1426v1, (2010).
Search in Google Scholar Back to article
Puthoff H.E., Ground state of hydrogen as a zero point fluctuation determined state, Phys. Rev. D 35, 3266, (1987).
Search in Google Scholar Back to article
Cole and Zou Y., Quantum mechanical ground state of hydrogen obtained from classical electrodynamics, Physics Letters A, Vol. 317, No. 1-2, pp. 14-20, (2003).
Search in Google Scholar Back to article
Nieuwenhuizen Th.M., On the Stability of Classical Orbits of the Hydrogen Ground State in Stochastic Electrodynamics, Entropy, 18, 135, (2016).
Search in Google Scholar Back to article
Cetto A.M., de la Peña-Auerbach L. and Valdés-Hernández A., Atomic radiative corrections without QED: role of the zero-point field, Rev. Mex. Fis. vol. 59, no. 5, 433–443, (2013).
Search in Google Scholar Back to article
Simaciu I. and Ciubotariu C., Classical model of Electron in Stochastic Electrodinamics, Rev. Mex. Fis. 47(4), 392, (2001).
Search in Google Scholar Back to article
Simaciu I., Dumitrcscu Gh. and Dinu M., New Results in Stochastic Physiscs, Romanian Reports in Physics 47, 537, (1995).
Search in Google Scholar Back to article
Barbat T., Ashgriz N. and Liu C.S., Dynamics of two interacting bubbles in an acoustic field, J. Fluid Mech. 389, 137, (1999).
Search in Google Scholar Back to article
Doinikov A.A., Recent Research Developments in Acoustics, Vol. 1, (Transworld Research Network, Trivandrum, Kerala, 2003), pp. 39-67.
Search in Google Scholar Back to article
Ainslie M.A. and Leighton T.G., Review of scattering and extinction cross-sections, damping factors and resonance frequencies of a spherical gas bubble, J. Acoust. Soc. Am. 130 (5), Pt. 2 (2011) Pub12667, https://doi.org/10.1121/1.3628321.
Search in Google Scholar Back to article
Jackson J.D., Classical Electrodynamics, 2nd ed., Wiley, New York, (1975).
Search in Google Scholar Back to article
Boyer T.H., Connecting blackbody radiation, relativity, and discrete charge in classical electrodynamics, Found. Phys. 37, p. 999, (2007), https://doi.org/10.1007/s10701-007-9139-3.
Search in Google Scholar Back to article
Feynman R.P., Leighton R.B. and Matthew S., The Feynman Lectures on Physics, Vol. 1, Massachusetts: Addison-Wesley, (1964).
Search in Google Scholar Back to article
Gradshteyn I.S. and Ryzhik I.M., Table of Integrals, Series, and Products, 7th Edition, Jeffrey, Alan and Zwillinger, Daniel (eds.), Academic Press, (2007).
Search in Google Scholar Back to article
Griffiths D., Introduction to Elementary Particles, Wiley-Vch., (2008).
Search in Google Scholar Back to article
Patrignani C. et al. (Particle Data Group), (2016), “Quarks”, Chin. Phys. C. 40: 100001.
Search in Google Scholar Back to article
Simaciu I., Dumitrescu Gh. and Borsos Z., Mach’s Principle in the Acoustic World, arXiv:1907.05713, (2019).
Search in Google Scholar Back to article
Ţiplea G., Simaciu I., Milea P.L. and Șchiopu P., Extraction of energy from the vacuum in SED: theoretical and technological models and limitations, UPB Scientific Bulletin, Series A: Applied Mathematics and Physics 83(2), pp. 267-286, 2021.
Search in Google Scholar Back to article
Simaciu I., Borsos Z., Dumitrescu Gh., Silva G.T. and Bărbat T., The acoustic force of electrostatic type, Bul. Inst. Politeh. Iaşi, Secţ. Mat., Mec. teor., Fiz. 65 (69), No 2, (2019) 17; arXiv:1711.03567v1.
Search in Google Scholar Back to article
Zavtrak S.T., A classical treatment of the long-range radiative interaction of small particles, Journal of Physics A, General Physics 23 (9), 1493, (1999).
Search in Google Scholar Back to article
Dinu I., Fundaments of a Theory of Aether – Part 2, 2021.
Search in Google Scholar Back to article
Uwe R. Fischer, Motion of Quantized Vortices as Elementary Objects, Annals of Physics, Volume 278, Issue 1, pp. 62-85, (1999).
Search in Google Scholar Back to article
Allen J.J., Jouanne Y., Shashikanth B.N., Vortex interaction with a moving sphere, Journal of Fluid Mechanics, Cambridge, Vol. 587, pp. 337-346, 2007.
Search in Google Scholar Back to article
Chena L., Zhanga L., Shaoa X.M., The motion of small bubble in the ideal vortex flow, Procedia Engineering 126, pp. 228–231, 2015.
Search in Google Scholar Back to article
Cui B., Ni B. and Wu Q., Bubble–bubble interaction effects on dynamics of multiple bubbles in a vortical flow field, Advances in Mechanical Engineering, Vol. 8(2), pp. 1–12, 2016.
Search in Google Scholar Back to article
Butto N., A New Theory on Electron Wave-Particle Duality, Journal of High Energy Physics, Gravitation and Cosmology, 6, pp. 567-578, 2020.
Search in Google Scholar Back to article
Ruban V.P., Bubbles with Attached Quantum Vortices in Trapped Binary Bose–Einstein Condensates, Journal of Experimental and Theoretical Physics, Vol. 133, pp. 779–785, 2021.
Search in Google Scholar Back to article
de la Peña-Auerbach L. and Cetto A.M. and Valdés-Hernández A., Proposed physical explanation for the electron spin and related antisymmetry, Quantum Studies: Mathematics and Foundations volume 6, pp. 45–53, (2019).
Search in Google Scholar Back to article
Barut A.O. and Zanghi N., Classical Model of the Dirac Electron, Phys. Rev. Lett. 52, pp. 2009-2012, (1984).
Search in Google Scholar Back to article
Burinskii A., What tells Gravity on the shape and size of an electron, Physics of Particles and Nuclei 45(1), (2012).
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/bipmf-2022-0017 | Journal eISSN: 2537-4990

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Language: English

Page range: 29 - 40

Submitted on: Oct 25, 2022

Accepted on: Nov 22, 2022

Published on: Jun 30, 2023

Published by: Gheorghe Asachi Technical University of Iasi

In partnership with: Paradigm Publishing Services

Publication frequency: Volume open

Keywords:

Stochastic Electrodynamics (SED),

classical zero-point field (CZPF),

particle model,

PACS: 03.50.-z; 02.50.Ey; 14.60.Cd; 01.40.−d

Related subjects:

Engineering,

Mechanical engineering,

Mechanics,

Materials sciences,

Materials sciences, other,

Physics,

Theoretical and mathematical physics,

Technical and applied physics

© 2023 Ion Simaciu, Zoltan Borsos, Viorel Drafta, Gheorghe Dumitrescu, 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 4 (December 2022)