Along with all other quantum objects, an electron is partly a wave and partly a particle. The corpuscular properties of a particle are demonstrated when it is shown to have a localized position in space along its trajectory at any given moment. When an electron looks more like a particle it has no shape, “point particle”, according to the Standard Model, meaning that it interacts as if it is entirely located at a single point in space and does not spread out to fill a three-dimensional volume. Therefore, in the sense of particle-like interactions, an electron has no shape. In this paper, a new theory is proposed in which the electron has a structure and a shape. The central idea is that an electron is a frictionless vortex with conserved momentum made out of condensed vacuum generated in the Big Bang from massless virtual photons that acquire mass when moving in the vortex at the speed of light. Using Hydrodynamics laws and applying them on the superfluid vacuum the basic properties of the electron are described here forth. This study provides mathematical models to calculate the mass, kinetic energy, density, volume, time, charge, and particle-wave duality. Such mathematical formulations are presented to confirm the theory. We conclude that the shape of the electron is accessible to human imagination, knowing its shape helps to determine its properties and shed a light on how matter is made and to explain the interactions of sub-atomic particles.
References
[1]
Braibant, S., Giacomelli, G. and Spurio, M. (2012) Particles and Fundamental Interactions: An Introduction to Particle Physics. 2nd Edition, Springer, Berlin, 1-3. https://doi.org/10.1007/978-94-007-2464-8
[2]
Dirac, P.A.M. (1982) Principles of Quantum Mechanics. International Series of Monographs on Physics. 4th Edition, Oxford University Press, Oxford, p. 255.
[3]
Khriplovich, I.B. and Lamoreaux, S.K. (1997) CP Violation without Strangeness. Springer, New York. https://doi.org/10.1007/978-3-642-60838-4
[4]
Fedi, M. (2015) Hypothetical Role of Quantum Space-Time’s Superfluid Dynamics in the Physics of Particles and Fundamental Interactions. https://hal.archives-ouvertes.fr/hal-01223102
[5]
Zloshchastiev, K.G. (2011) Spontaneous Symmetry Breaking and Mass Generation as Built-in Phenomena in Logarithmic Nonlinear Quantum Theory. Acta Physica Polonica B, 42, 261-292.
[6]
Avdeenkov, A.V. and Zloshchastiev, K.G. (2011) Quantum Bose Liquids with Logarithmic Nonlinearity: Self-Sustainability and Emergence of Spatial Extent. Journal of Physics B: Atomic, Molecular and Optical Physics, 44, Article ID: 195303. https://doi.org/10.1088/0953-4075/44/19/195303
[7]
Rauscher, E.A. (1968) Electron Interactions and Quantum Plasma Physics. Journal of Plasma Physics, 2, 517-541.
[8]
Rauscher, E.A. (2004) Dynamic Plasma Excitation Modes of Propagation in the Ionosphere. PA Press, Wisconsin, 13, 295.
[9]
De Aquino, F. (2010) Mathematical Foundations of the Relativistic Theory of Quantum Gravity. Pacific Journal of Science and Technology, 11, 173-232.
[10]
De Aquino, F. (2012) The Universal Quantum Fluid, in the Theory of Everything.
[11]
Hudson, J.J., Kara, D.F.M., Smallman, I.J., Sauer, B.E., Tarbutt, M.R. and Hinds, E.A. (2011) Improved Measurement of the Shape of the Electron. Nature, 473, 493-496. https://doi.org/10.1038/nature10104
[12]
Weisberger, M. and LiveScience (2018) Measurement Shows the Electron’s Stubborn Roundness. Scientific American October 18, 2018. https://www.scientificamerican.com/article/measurement-shows-the-electrons-stubborn-roundness
[13]
Winterberg, F. (2001) Planck Mass Rotons as Cold Dark Matter and Quintessence. 9th Canadian Conference on General Relativity and Relativistic Astrophysics, Edmonton, 24-26 May 2001.
[14]
http://www.softcom.net/users/greebo/vortex.htm
[15]
Maxwell, J.C. (1861) On Physical Lines of Force. Philosophical Magazine, 90, 11-23. https://doi.org/10.1080/14786431003659180
[16]
Feynman, R. (1990) QED the Strange Theory of Light and Matter. Penguin Edition, p. 84.
[17]
de Broglie, L. (1923) Radiations—Ondes et quanta” [Radiation—Waves and Quanta]. Comptes Rendus (in French), 177, 507-510+548.
[18]
CODATA 20104 Value for Compton Wavelength for the Electron from NIST.
[19]
Density, F. (2012) Eric Weisstein’s World of Physics.
[20]
Bohr, N. (1913) Two New Noctuids from French Guiana. Philosophical Magazine, 26, 1-25. https://doi.org/10.5962/bhl.part.9556