[General] Electron Torus

[Richard Gauthier]

Chip,
  And the helical trajectory of any double-looping photon in the relativistic electron model is

It’s nice to show this helical trajectory in a different color, superimposed on the trajectory of the particular photon model such as the TEQ model, moving along this trajectory, for the relativistic electron in the 3D graphic, preferably one 3D graphic for each electron velocity so the graphic doesn’t look so complicated with many different electron velocities combined in a single diagram.
   Richard

> On May 21, 2015, at 7:32 PM, Richard Gauthier <richgauthier at gmail.com> wrote:
> 
> Chip,
>    I see the problem. The formula that I now think best represents the electron (which is the formula that I  plotted in 3D versus velocity in my graphics program) is the one that is composed of a circulating spin 1/2 photon  of amplitude Ro,  not a spin 1 photon that is in the formula you just sent that has amplitude 2Ro. The formula for using the spin 1/2 photon is one of the two that I sent before (which corresponds to circulation on a horn torus)
> :
> <PastedGraphic-5.pdf>
> 
> so a factor of 2 and one of .5 needs to be removed from your x, y and z coordinates if we are to be on the same page. The “else” formula is not needed because it is included in your “if” statement in the case of v=0 (or VelocityC*c=0)
> 
> 
> 
>> On May 21, 2015, at 4:41 PM, Chip Akins <chipakins at gmail.com <mailto:chipakins at gmail.com>> wrote:
>> 
>> Can we check the formula once more?
>> Here is the MATLAB code if you would like to take a look.
>>  
>> y=1/sqrt(1-(VelocityC^2/c^2));
>> X(ii)=Roc*(1/y^2+(2/y)*cosd(.5*y*c*t/Roc))*cosd(y*c*t/Roc);
>> Y(ii)=Roc*(1/y^2+(2/y)*cosd(.5*y*c*t/Roc))*sind(y*c*t/Roc);
>>  
>> if RefFrame == Observer
>>     Z(ii)=((2*Roc)/y)*sind(.5*y*c*t/Roc)+(VelocityC*c*t);
>> else
>>     Z(ii)=((2*Roc)/y)*sind(.5*y*c*t/Roc);
>> end
> 

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