A New Theory on Electron Wave-Particle Duality

Abstract

A theory employing the vortex shape of the electron was presented to resolve the enigma of the wave-particle duality. Conventions such as "particle" and "wave" were used to describe the behavior of quantum objects such as electrons. A superfluid vacuum formed the base to describe the basic vortex structure and properties of the electron, whereas various formulations derived from hydrodynamic laws described the electron vortex circumference, radius, angular velocity and angular frequency, angular momentum (spin) and magnetic momentum. A vortex electron fully explained the associations between momentum and wave, and hydrodynamic laws were essential in deriving the energy and angular frequency of the electron. In general, an electron traveling in space possesses internal and external motions. To derive the angular frequency of its internal motion, the Compton wavelength was used to represent the length of one cycle of the internal motion that is equal to the circumference of the electron vortex. The angular frequency of the electron vortex was calculated to obtain the same value according to Planck's theory. A traveling vortex electron has internal and external motions that create a three-dimensional helix trajectory. The magnitude of the instantaneous velocity of the electron is the resultant of its internal and external velocities, being equal to the internal velocity reduced by the Lorentz factor (whose essence is presented in a detailed formulation). The wavelength of the helix trajectory represents the distance traveled by a particle along its axis during one period of revolution around the axis, resulting in the same de Broglie wavelength that corresponds to the helix pitch of the helix. Mathematical formulations were presented to demonstrate the relation between the energy of the vortex and its angular frequency and de Broglie's wavelength; furthermore, Compton's and de Broglie's wavelengths were also differentiated.

A New Theory for the Essence and Origin of Electron Spin

“…The origin of spin completes the properties of the electron. All properties such particle wave duality [14], electron charge, mass, spin angular momentum and magnetic momentum, can now be derived from the vortex structure and match all experimental observations of the electron. The hydrodynamic process of the vortex may open new horizons to understand the properties and behavior of fermions such as quarks and the internal structure of the proton and neutrons, and to understand the hydrodynamic process of interaction with large scale spiral shock fronts that might be responsible for the observed rotational properties of giant molecular clouds in galactic disk, and better describe the formation and structure of galaxies, supernovas, and other astrophysical systems such as black holes, their plasma dynamics and electromagnetic fields giving a new model for unification of the four forces and the basis for the theory of everything.…”

Electrostatic Interaction in Stochastic Electrodynamics

“…The problem of the sign for electro-acoustic charge is unresolved [48] because the acoustic particle (the oscillating bubble) has no spin. A possible solution to the problem of the internal kinetic moment of a charged acoustic particle is a model in which the oscillating bubble is captured by a vortex in the fluid [49][50][51][52][53][54]. Highlighting this property is only possible by modelling the interactions between the two oscillators in the SED formalism, without using the notion of interaction cross-section.…”

The Gastropod Shell Structure as a Blueprint for a Periodic System: A New Theory for Element Configurations

“…Furthermore, the vortex form of the electron made it possible to resolve the puzzling wave-particle dualism [12].…”