[General] Electron Torus

[Richard Gauthier]

Chip,
   Thanks. And I wanted to mention that the speed of the green dot (the photon speed) along its green helical trajectory always represents the speed of light. The faster the electron travels (after v=.707c), the smaller is the pitch as well as the amplitude of this green helical trajectory. As v of the electron approaches c, the pitch of this green helical trajectory (in the double-looped photon model of the electron) approaches 1/2  the de Broglie wavelength (although the electron model generates the de Broglie wavelength at all electron velocities.) 

   Also note that the little inner loop of the TEQ (red curve) in the first of the two figures gets relatively bigger compared to the outer loop as the speed of the electron increases. It looks like the inner and outer loops will nearly coincide with an extremely relativistic electron, since the radius of the green helix (photon’s helical trajectory) falls off as 1/gamma^2 while the radius of the TEQ photon along this helical trajectory falls off as 1/gamma. At that extremely relativistic speed the spin of the helically circulating TEQ photon in the forward (longitudinal) direction will be 1/2 hbar, which is the spin of the highly relativistic electron. A helically moving spin 1 hbar photon could not accomplish this at highly relativistic velocities.

Richard

> On May 24, 2015, at 5:07 AM, Chip Akins <chipakins at gmail.com> wrote:
> 
> Hi Richard
>  
> Very nice.  You have illustrated the moving electron models is a much easier to read method that my first attempt.
> Thank you for sharing. Once again I have learned from you.
>  
> Chip
>  
>  
>  
> From: General [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org <mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org>] On Behalf Of Richard Gauthier
> Sent: Sunday, May 24, 2015 2:58 AM
> To: Nature of Light and Particles - General Discussion
> Subject: Re: [General] Electron Torus
>  
> Chip and others,
>   I was able to send a set of 3D graphic files of my relativistic electron model from my older computer to my present computer. It is an electron model generated by a circulating spin 1/2 charged photon composed of a transluminal energy quantum (TEQ).
> In the 2 figures, the red figure in the torus represents the transluminal energy quantum (TEQ) circulating along a horn torus surface in a resting electron (top and side view). The five other figures in each graphic represent a relativistic electron going past the resting electron at various relativistic speeds, seen end on in the first figure and from the side in the second figure. The electron velocities are choses so that gamma^2 = 2,4,8,16 and 32. This makes the radius of the trajectory of the photon (green circle) get divided by 2 in each successive figure, since this radius is proportional to 1/ gamma^2 in my relativistic electron model. The correspond electron speeds are v= 0.707c , 0.866c, 0.935c, 0.963 c and 0.984c . The green and red dots indicate the position of the photon on its helical trajectory, and the position of the TEQ relative to this helical trajectory. You can see that the smaller the radius of the helical trajectory, the faster the electron is moving: the red and green dots are further to the right for the smaller trajectory radii in the second figure (the figures are actually animated in my graphic program, so the dots move along the figures.)
>        Richard
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