International Journal of Applied Mathematics and Theoretical Physics

| Peer-Reviewed |

Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field

Received: Nov. 06, 2019    Accepted: Nov. 23, 2019    Published: Dec. 06, 2019
Views:       Downloads:

Share This Article

Abstract

In Quantum Mechanics, one knows that the wave function interpretation is probabilistic. We previously established that any particle scalar field is the cause of its existence. Here, one examined the plane solution regarding a moving particle in vacuum, through the relativistic formalism. It appeared the following. (i) The solution presents four alternatives, like in Dirac unified formalism; when searching stationary solutions of the system vacuum-particle or the system vacuum-antiparticle. (ii) Considering the former, each spinner component shows the interaction of one particle charge with three vacuum fermions of spin-½; each oriented along one space direction. Furthermore, this allows deducting the triple nature of any gauge fermion. (iii) Each solution case is definable with a same wave front width. This determination became possible from the vector companion of that wave function one introduced before. Here, this points out the existence of transverse time. (iv) Both functions let emphasizing the existence of a third fundamental field of long range, which is identifiable to the fundamental spin field. (v) This unites the particle spin and orbital momenta and bears in addition a magnetic-like field, which is yet unknown. (vi) According to the charge, a particle field is observable in wave phenomena, from the manifestations of its gauge fermions or gauge bosons; when ejected from their stationary states by a perturbation… At last, the results highlight the quantum composition of wave functions, the spin-field patency, and the wave nature manifestation from five differentiable fields.

DOI 10.11648/j.ijamtp.20190504.12
Published in International Journal of Applied Mathematics and Theoretical Physics ( Volume 5, Issue 4, December 2019 )
Page(s) 104-110
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Duality Field-Matter, Klein-Gordon Equation, Quantum Mechanics, Quantum Vacuum, Spin Field, Transverse Time, Wave Front, Wave Function, Wave Nature

References
[1] G. Matteucci (2013). Interference with electrons – from thought to real experiments. Proc. Of SPIE 8785, 8785CF-1.
[2] P. Grangier, G. Roger and A. Aspect (1986). Experimental evidence for a photon anti-correlation effect on a beam splitter: A new light on single-photon interferences. Europhys. Lett 1, 173-179.
[3] I. V. Kanatchikov (2018). The solution of Schrodinger equation justifies early Bohr atomic model. Rep. Math. Phys. 82, 373.
[4] S. Zeller (2018). Determination of the He-He, Ne-Ne, Ar-Ar, and H2 interaction potential by wave function imaging. Phys. Rev. Lett. 121, 083002.
[5] S. P. de Alwis (2019). The Wave Function of the Universe and CMB Fluctuations. Phys. Rev. D 100, 043544.
[6] Iveta Semoradova (2017). Crypto-Hermitian Approach to the Klein-Gordon equation.´ Acta Polytechnica 57, 462-466.
[7] E. J. A. Curi, L. B. Castro and A. S. De Castro (2019). Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states. Eur. Phys. J. Plus 134, 248.
[8] L M. Moukala (2018). Characterization of cubic crystalline systems: a field theory uniting elasticity and electromagnetism. Res. J. Material Sci. 6, 1-4.
[9] P. A. M. Dirac (1928). The Quantum Theory of the Electron. Proceedings of the Royal Society of London. Series A 117, 610-624. http://www.jstor.org
[10] L. Alvarez-Gaumé, M. A. Vazquez-Mozo (2012). An invitation to quantum field theory. Lectures Notes in Physics 839.
[11] M. Mansuripur (2019). Spin-orbit coupling in the hydrogen atom, the Thomas precession, and the exact solution of Dirac’s equation. Spintronics XII, Proceedings of SPIE 11090, 110901X.
[12] P. Dirac, (1951). Is there an aether?. Nature 168, 906.
[13] N. C. Petroni, J. P. Vigier (1983). Dirac’s aether in relativistic quantum mechanics. Foundations of Physics. 13, 253.
[14] L. M. Moukala (2018). Ultimate duality field-matter: fields structural unification. Res. Recent Sci. 7, 1-9.
[15] L. M. Moukala (2019). Duality occurrences: physical origin of waves functions. International Journal of Applied Mathematics and Theoretical Physics 5, 15-19.
[16] L. M. Moukala (2017). The unified energy as vacuum quintessence in wave equations. Res. J. Physical Sci., 5, 1-6.
[17] M. Mansuripur (2011). Spin and orbital angular Momenta of electromagnetic waves in free space. Physical Review A 84, 033838.
[18] K. Y. Bliokh, M. R. Dennis, F. Nori (2017). Position, spin and orbital angular momentum of a relativistic electron. Phys. Rev. A 96, 023622.
[19] X. Bekaert, Mourad and M. Najafizadeh (2017). Continuous-spin field propagator and interaction with matter. JHEP 1711, 113.
[20] D. Sorokin and M. Tsulaia (2018). Higher spin fields in hyperspace: a review. Universe 4, 7.
[21] K. Benakli, Y. Chen, P. Cheng and G. Lafforgue-Marmet (2019). Stochastic gravitational waves from spin-3/2 fields - Hunting SUSY in the sky. Phys. Rev. D 99, 095032.
Cite This Article
  • APA Style

    Louis-Marie Moukala. (2019). Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field. International Journal of Applied Mathematics and Theoretical Physics, 5(4), 104-110. https://doi.org/10.11648/j.ijamtp.20190504.12

    Copy | Download

    ACS Style

    Louis-Marie Moukala. Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field. Int. J. Appl. Math. Theor. Phys. 2019, 5(4), 104-110. doi: 10.11648/j.ijamtp.20190504.12

    Copy | Download

    AMA Style

    Louis-Marie Moukala. Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field. Int J Appl Math Theor Phys. 2019;5(4):104-110. doi: 10.11648/j.ijamtp.20190504.12

    Copy | Download

  • @article{10.11648/j.ijamtp.20190504.12,
      author = {Louis-Marie Moukala},
      title = {Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field},
      journal = {International Journal of Applied Mathematics and Theoretical Physics},
      volume = {5},
      number = {4},
      pages = {104-110},
      doi = {10.11648/j.ijamtp.20190504.12},
      url = {https://doi.org/10.11648/j.ijamtp.20190504.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ijamtp.20190504.12},
      abstract = {In Quantum Mechanics, one knows that the wave function interpretation is probabilistic. We previously established that any particle scalar field is the cause of its existence. Here, one examined the plane solution regarding a moving particle in vacuum, through the relativistic formalism. It appeared the following. (i) The solution presents four alternatives, like in Dirac unified formalism; when searching stationary solutions of the system vacuum-particle or the system vacuum-antiparticle. (ii) Considering the former, each spinner component shows the interaction of one particle charge with three vacuum fermions of spin-½; each oriented along one space direction. Furthermore, this allows deducting the triple nature of any gauge fermion. (iii) Each solution case is definable with a same wave front width. This determination became possible from the vector companion of that wave function one introduced before. Here, this points out the existence of transverse time. (iv) Both functions let emphasizing the existence of a third fundamental field of long range, which is identifiable to the fundamental spin field. (v) This unites the particle spin and orbital momenta and bears in addition a magnetic-like field, which is yet unknown. (vi) According to the charge, a particle field is observable in wave phenomena, from the manifestations of its gauge fermions or gauge bosons; when ejected from their stationary states by a perturbation… At last, the results highlight the quantum composition of wave functions, the spin-field patency, and the wave nature manifestation from five differentiable fields.},
     year = {2019}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Microscopic Manifestations of the Wave Nature and the Fifth Fundamental Field
    AU  - Louis-Marie Moukala
    Y1  - 2019/12/06
    PY  - 2019
    N1  - https://doi.org/10.11648/j.ijamtp.20190504.12
    DO  - 10.11648/j.ijamtp.20190504.12
    T2  - International Journal of Applied Mathematics and Theoretical Physics
    JF  - International Journal of Applied Mathematics and Theoretical Physics
    JO  - International Journal of Applied Mathematics and Theoretical Physics
    SP  - 104
    EP  - 110
    PB  - Science Publishing Group
    SN  - 2575-5927
    UR  - https://doi.org/10.11648/j.ijamtp.20190504.12
    AB  - In Quantum Mechanics, one knows that the wave function interpretation is probabilistic. We previously established that any particle scalar field is the cause of its existence. Here, one examined the plane solution regarding a moving particle in vacuum, through the relativistic formalism. It appeared the following. (i) The solution presents four alternatives, like in Dirac unified formalism; when searching stationary solutions of the system vacuum-particle or the system vacuum-antiparticle. (ii) Considering the former, each spinner component shows the interaction of one particle charge with three vacuum fermions of spin-½; each oriented along one space direction. Furthermore, this allows deducting the triple nature of any gauge fermion. (iii) Each solution case is definable with a same wave front width. This determination became possible from the vector companion of that wave function one introduced before. Here, this points out the existence of transverse time. (iv) Both functions let emphasizing the existence of a third fundamental field of long range, which is identifiable to the fundamental spin field. (v) This unites the particle spin and orbital momenta and bears in addition a magnetic-like field, which is yet unknown. (vi) According to the charge, a particle field is observable in wave phenomena, from the manifestations of its gauge fermions or gauge bosons; when ejected from their stationary states by a perturbation… At last, the results highlight the quantum composition of wave functions, the spin-field patency, and the wave nature manifestation from five differentiable fields.
    VL  - 5
    IS  - 4
    ER  - 

    Copy | Download

Author Information
  • Department of Exact Sciences, Higher Normal School, Brazzaville, Congo

  • Section