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.
| Published in | International Journal of Applied Mathematics and Theoretical Physics (Volume 5, Issue 1) |
| DOI | 10.11648/j.ijamtp.20190501.12 |
| Page(s) | 15-19 |
| 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), 2019. Published by Science Publishing Group |
Cell Intersection, Duality Field-Matter, Gauge Coupling, Gauge Fermion, Gauge Field, Unified Field, Vacuum Lattice, Wave Function
| [1] | C. Garola. and J. Pykacz. (2004). Locality and measurement within the SR model for an objective interpretation of quantum mechanics. Found. Phys. 34, 449-475. |
| [2] | 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. |
| [3] | Wataru Kohno, Akimitsu Kirikoshi, Takafumi Kita (2018). Ground-State Wave Function with Interactions between Different Species in M-Component Miscible Bose-Einstein Condensates. Journal of the Physical Society of Japan 87, 034002. |
| [4] | I. V. Kanatchikov (2018). The solution of Schrodinger equation justifies early Bohr atomic model. Rep. Math. Phys. 82, 373. |
| [5] | P. A. M. Dirac. The Principles of Quantum Mechanics. Oxford: Clarendon Press, 1958. |
| [6] | L. E. Ballentine. Quantum Mechanics: A modern development. Singapore: World Scientific Publishing Co, 1998, pp. 234-240. |
| [7] | E. Tammaro (2014). Why Current Interpretations of Quantum Mechanics are Deficient. arXiv: quant-ph/1408.2093v2 |
| [8] | P. L. Saldanha (2018). Inconsistency of a realistic interpretation of quantum measurements: A simple example. arXiv: quant-ph/1805.05446v3 |
| [9] | M. Schlosshauer (2004). Decoherence, the measurement problem and interpretations of quantum mechanics. Physics Faculty Publications and Presentations 13. http://pilotscholars.up.edu/ phy_facpubs/13 |
| [10] | L. M. Moukala (2018). Characterization of cubic crystalline systems: a field theory uniting elasticity with electromagnetism. Res. J. Material Sci. 6, 1-4. |
| [11] | J. L. Davis. Wave propagation in solids and fluids. New York: Springer-Verlag,1988, pp. 274-299. |
| [12] | L. M. Moukala (2018). Ultimate duality field-matter: field structural unification. Res. J. Recent Sci. 7, 1-6. |
| [13] | A. Messiah. Mécanique quantique. Dunod: Paris, 1959, pp. 56-57. |
| [14] | L. M. Moukala (2017). The unified field as vacuum quintessence in waves equations. Res. J. Physical Sci. 5, 1-6. |
| [15] | C. Patrignani et al. (2016 and 2017 update). Particle Data Group. Chin. Phys. C 40 100001. http://pdg.lbl.gov |
APA Style
Louis-Marie Moukala. (2019). Duality Occurrences: Physical Origin of Wave Functions. International Journal of Applied Mathematics and Theoretical Physics, 5(1), 15-19. https://doi.org/10.11648/j.ijamtp.20190501.12
ACS Style
Louis-Marie Moukala. Duality Occurrences: Physical Origin of Wave Functions. Int. J. Appl. Math. Theor. Phys. 2019, 5(1), 15-19. doi: 10.11648/j.ijamtp.20190501.12
AMA Style
Louis-Marie Moukala. Duality Occurrences: Physical Origin of Wave Functions. Int J Appl Math Theor Phys. 2019;5(1):15-19. doi: 10.11648/j.ijamtp.20190501.12
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Download@article{10.11648/j.ijamtp.20190501.12,
author = {Louis-Marie Moukala},
title = {Duality Occurrences: Physical Origin of Wave Functions},
journal = {International Journal of Applied Mathematics and Theoretical Physics},
volume = {5},
number = {1},
pages = {15-19},
doi = {10.11648/j.ijamtp.20190501.12},
url = {https://doi.org/10.11648/j.ijamtp.20190501.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijamtp.20190501.12},
abstract = {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.},
year = {2019}
}
TY - JOUR T1 - Duality Occurrences: Physical Origin of Wave Functions AU - Louis-Marie Moukala Y1 - 2019/03/21 PY - 2019 N1 - https://doi.org/10.11648/j.ijamtp.20190501.12 DO - 10.11648/j.ijamtp.20190501.12 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 - 15 EP - 19 PB - Science Publishing Group SN - 2575-5927 UR - https://doi.org/10.11648/j.ijamtp.20190501.12 AB - 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. VL - 5 IS - 1 ER -
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