[General] Electron Torus

[Richard Gauthier]

Hi Chip,
   Thanks. And finally, the vertical ovals of the tori should be circles because the circulating quantum has the same radius in the vertical and horizontal directions.
        Richard

> On May 4, 2015, at 9:32 AM, Chip Akins <chipakins at gmail.com> wrote:
> 
> Hi Richard
>  
> Thank you.
>  
> Here you go:
> <image001.png>
>  
> <image002.png>
>  
> Chip
>  
> From: General [mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org] On Behalf Of Richard Gauthier
> Sent: Monday, May 04, 2015 10:43 AM
> To: Nature of Light and Particles - General Discussion
> Subject: Re: [General] Electron Torus
>  
> Hi Chip,
>   Both tori should be symmetrical above and below the z-axis and center on z=0.
>       Richard
>  
>> On May 4, 2015, at 8:16 AM, Chip Akins <chipakins at gmail.com <mailto:chipakins at gmail.com>> wrote:
>>  
>> Hi Richard
>>  
>> <image001.jpg>
>>  
>> Viewed from the Z axis:
>> <image002.jpg>
>>  
>> And from the equatorial plane:
>> <image003.jpg>
>>  
>> 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 03, 2015 11:07 PM
>> To: Nature of Light and Particles - General Discussion
>> Subject: Re: [General] position
>>  
>> Chip and all,
>>    Here are some equations that relate to the modeling of a circulating photon as an electron. The second and third set include my own model of the photon. The first set doesn’t require a particular model for the photon, except as mentioned below. The first model is the one that generates the de Broglie wavelength as explained in my article mentioned below.
>>  
>> 1. Here is the set of parametric equations for the helical trajectory of double-looping photon that models a free electron, and  whose circular radius for a resting electron is Ro=hbar/2mc. The speed of the photon along this trajectory is always c. The longitudinal or z-component of the photon’s speed is the electron’s velocity v along the z-axis. The frequency of the photon around the helical axis is proportional to the circulating photon/electron's energy E=gamma mc^2. The distance of the photon’s helical trajectory from the z-axis for an electron whose speed is v, is proportional to 1/gamma^2. This equation is in my article “The electron is a charged photon with the de Broglie wavelength”. This equation does not include a particular model of the photon, but assumes that the photon follows the relations c=f lambda, E=hf and p=h/lambda. Both helicities of the helical trajectory are given.
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