[General] Electron Torus

[Richard Gauthier]

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> 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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