Superluminal Helical Models for the Electron and Photon
Abstract
Dynamical geometrical models of the electron and the photon are proposed which are composed of sheets of electric charge moving at superluminal velocities in closed and open helical paths respectively. In both models, the sheets of electric charge always internally travel faster than the speed of light, and the size, structure, wavelengths and helical motions of these sheets of electric charge correspond to their energy, momentum and angular momentum, and the electron's magnetic moment to first order. The photon and electron models are closely related through the geometry and dynamics of electron/positron pair production from a photon, resulting in the quantum mechanical 720-degrees rotational symmetry of the electron model. When the electron model moves as a whole with velocity v, it is found that its internal structure generates the electron's de Broglie wavelength L = h / mv , due to internal photon-like Doppler wavelength shifts and wave interference. The electron model also increases its total energy (and therefore its mass) with its velocity in accordance with special relativity, due to the increased net energy associated with the Doppler-shifted frequency of the circulating charged photon-like entity that composes the electron model. Due to the constancy of the electron's angular momentum with velocity, a relativistically moving electron model is found to decrease in size with velocity so as to be consistent with experimental determinations of the maximum size of an electron from high energy scattering experiments. The two models illustrate a new concept of quantum wave-particle duality, where the form of the charged sheets (two in the photon and one in the electron) constitute the particle and their superluminal motion constitutes the wave. This modeling approach predicts that there are two varieties of right circularly polarized photon (and also two types of left circularly polarized photon), depending on whether the positive or negative charge sheet is in front in the photon's direction of motion, and two varieties of negative electron (and two varieties of positron), depending on whether the electric charge sheet in the electron moves forward clockwise or counterclockwise in its closed helical structure. These 2 predicted varieties of the present photon and electron should be distinguishable by the different magnetic fields that they would produce.
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