Superluminal Quantum Models of the Electron and the Photon

A spatial model of a free electron (or a positron) is formed by a proposed helically circulating point-like charged superluminal quantum. The model includes the Dirac equation's electron spin $\textstyle{1 \over 2}\hbar $ and magnetic moment $e\hbar /2m$ as well as three Dirac equation measures of the electron's \textit{Zitterbewegung} (jittery motion): a speed of light velocity $c$, a frequency of $2mc^2/h=2.5\times 10^{20}$ hz, and a radius of $\textstyle{1 \over 2}\hbar /mc=1.9\times 10^{-13}$m. The electron's superluminal quantum has a closed double-looped helical trajectory whose circular axis' double-looped length is one Compton wavelength h/mc. The superluminal quantum's maximum speed in the electron model's rest frame is $2.797c$. In the electron model's rest frame, the equations for the superluminal quantum's position are: \[ \begin{array}{l} x(t)=R_0 (1+\sqrt 2 \cos (\omega _0 t))\cos (2\omega _0 t) \\ y(t)=R_0 (1+\sqrt 2 \cos (\omega _0 t))\sin (2\omega _0 t) \\ z(t)=R_0 \sqrt 2 \sin (\omega _0 t) \\ \end{array} \] where $R_0 =\textstyle{1 \over 2}\hbar /mc$ and $\omega _0 =mc^2/\hbar $. A photon is modeled by an uncharged superluminal quantum moving at $1.414c$ along an open 45-degree helical trajectory with radius $R=\lambda /2\pi $. http://www.superluminalquantum.org