<html><head><meta http-equiv="Content-Type" content="text/html charset=windows-1252"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class=""><div class="">Hello Chip and all,<div class=""><br class=""><div class="">The following recent graphical results (particularly in green but perhaps in red as well) may be relevant to anyone with an electron model composed of a single-loop or double-loop photon, that can move in a helical trajectory in the z-direction when the circulating photon in the resting electron (or in an electron with a very small velocity in the z-direction) circulates in the x-y plane. The generic (structureless) photon’s green trajectory would correspond to the trajectory of the photon in your circulating EM photon model of the electron in the case of a relativistic electron and also to Vivian’s model (although his photon model may be purely the generic one), and perhaps to John W and Martin’s 1997 toroidal model of the electron and also to John M’s spacetime model of the electron. The generic model of the electron cannot alone account for the spin 1/2 hbar of the electron at relativistic velocities because the spin of the generic model decreases to zero at relativistic velocities, so a photon with a finite-size internal energy structure is needed for this. </div><div class=""><br class=""><div class="">I’ve continued (earlier results were presented on May 24 and are repeated here) calculating and graphing the end view (along the z-axis) and side view of both the generic (green) and TEQ models (red) of the relativistic electron as a helically moving charged photon, from gamma = 0 (resting electron) out to values of gamma^2 = 2^10=1024 (or gamma = 2^5 = 32.) In this series, the largest value of v of the electron is v=0.9995 c corresponding to gamma = 32 . The gamma in current high-energy electron experiments obvious goes much higher than this, into the order of magnitude range of gamma=10^4 or higher. In each successive graphic figure below (starting with the resting electron whose TEQ moves on the surface of a horn torus) the value of gamma^2 doubles, so the radius Ro/gamma^2 of the helical trajectory (where Ro=hbar/2mc) of the generic photon having no internal structure and moving at light-speed (green trajectory) decreases by a factor of 2, while the radius Ro/gamma of the transluminal energy quantum or TEQ’s helical trajectory (red trajectory) around its green helical axis decreases by a factor of sqrt(2)=1.414 . The first image on the second row is the same as the last image on the first row, but the linear scale of the second row is magnified to show greater detail. In the second and third figures (showing the two sideways sets of views of the generic model and TEQ model of the charged photon ) the pattern of increase of gamma^2 from one image to the next is the same, with the last view of the first set of sideways images being the same as the first view of the second set of sideways images having greater magnification.</div><div class=""><br class=""></div><div class="">You can see the the radius Ro/gamma^2 of the generic electron’s helical trajectory appears to go to nearly zero (to the limit of the graphic resolution) in the first set of figures (end views along z-axis) and becomes nearly a straight line (again to the limit of the graphic resolution) in the second (sideways) set of figures, while the radius Ro/gamma of the TEQ’s helical trajectory is still easily visible in both the end views and and in the sideways views. The end view of the TEQ trajectory becomes circular with decreasing radius Ro/gamma while the side view of the TEQ’s trajectory shows an interesting apparently constant structure of decreasing size (also decreasing as Ro/gamma) with increasing gamma. The apparent “wavelength” of the sideways diagrams is the helical pitch of the generic photon (green trajectory) which at high values of gamma is nearly 1/2 the wavelength of the helically circulating charged photon (due to the double-looping structure of the resting electron and the double-looping structure of the 1/2 hbar TEQ charged photon model) and also the green helical pitch is nearly 1/2 of the electron’s de Broglie wavelength at highly relativistic speeds. See “The electron is a charged photon with the de Broglie wavelength" for details about the pitch of the generic photon model of the electron.</div><div class=""><br class=""></div><div class="">Richard<br class=""><div class=""><br class=""></div><div class=""></div></div></div></div></div></body></html>