Volume 5, Issue 1, March 2019, Page: 15-19
Duality Occurrences: Physical Origin of Wave Functions
Louis-Marie Moukala, Department of Exacts Sciences, École Normale Supérieure, Marien Ngouabi University, Brazzaville, Congo
Received: Jan. 23, 2019;       Accepted: Mar. 2, 2019;       Published: Mar. 21, 2019
DOI: 10.11648/j.ijamtp.20190501.12      View  42      Downloads  23
The quantum mystery began with the probabilistic interpretation of the wave function. However, this usefulness is definitive in Quantum Mechanics while the suspense continues. The present paper aims to investigate the origin of such a mystery. Hence, considering a relativistic charged particle in quantum vacuum, it appeared that: (i) from a classical association, this electromagnetismself-consistent derives from the usual wave function, which corresponds to the scalar nature in addition to the vector one. (ii) Such duplicity is only justifiable when the related gauge fields describe fermions, in accordance with the previous theory of duality field-matter. This occurrence then corresponds to the appearance of bosons at cell intersections in vacuum lattice, whatever is the field. (iii) From the related gauge couplings, the scalar function must have an unknown vector companion. Both appear as originating the related conservation laws on one side. On the other side, specific variations of the field front would explain their physical origin. (iv) Moreover, both define an original gauge field to which that of law conservation is sensible. (v) Due to definition validity in any reference system, their possible quantization should lead to that of scalar and vector fields of stationary states. At last, the results highlight the connection between waves and fields associable to any object, emphasizing the field unification framework.
Cell Intersection, Duality Field-Matter, Gauge Coupling, Gauge Fermion, Gauge Field, Unified Field, Vacuum Lattice, Wave Function
To cite this article
Louis-Marie Moukala, Duality Occurrences: Physical Origin of Wave Functions, International Journal of Applied Mathematics and Theoretical Physics. Vol. 5, No. 1, 2019, pp. 15-19. doi: 10.11648/j.ijamtp.20190501.12
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