[General] Electron Torus

Richard Gauthier richgauthier at gmail.com
Thu May 21 07:45:59 PDT 2015


Hi Chip,
  Thanks! Can you show the view from perpendicular to the direction of
motion of the electron also?
    Richard

On Thu, May 21, 2015 at 7:06 AM, Chip Akins <chipakins at gmail.com> wrote:

> Hi Richard
>
>
>
> So it is a bit more difficult to visualize exactly what is going on from
> the graphics with velocity.
>
>
>
> We increase the velocity is in steps from *zero through 0.9988c.*
>
>
>
> From the Z axis the illustration looks like:
>
>
>
> Showing the reduced radius with velocity.
>
>
>
> But when we look at the model slightly off axis (Z axis) we see this:
>
>
>
>
>
> So this is a set of nested electron models with different velocities, each
> starting from the same point (upper right of the illustration). These are
> drawn from an external observers frame and are not shown in the electron’s
> reference frame.
>
>
>
> In the electron’s reference frame we would see closure to the trajectory,
> but in this reference frame, the trajectory (since it is moving) is not
> closed.
>
>
>
> Chip
>
>
>
> *From:* General [mailto:general-bounces+chipakins=
> gmail.com at lists.natureoflightandparticles.org] *On Behalf Of *Richard
> Gauthier
> *Sent:* Thursday, May 21, 2015 6:29 AM
>
> *To:* Nature of Light and Particles - General Discussion
> *Subject:* Re: [General] Electron Torus
>
>
>
> Chip,
>
>    Please correct a couple of typos in my last email. The TEQ
> (transluminal energy quantum) moves on the surface of a torus, not a helix.
> Also the first helical radius mentioned should have been Ro sqrt(2) = 1.414
> Ro , not Ro sqrt(2)/2 = 1.414 Ro since sort(2)/2 = 0.707 not 1.414 .
> Thanks.
>
>     Richard
>
>
>
> On May 20, 2015, at 6:42 PM, Richard Gauthier <richgauthier at gmail.com>
> wrote:
>
>
>
> Chip,
>
>      Nice graphics!
>
>
>
>     Shouldn’t the electric field lines of an electron at some distance
> from the electron model be pointing inward linearly towards the electron
> from infinity on all sides, since the electron's electric field (due to its
> electric charge) falls off as 1/r^2 . I don’t understand why the electric
> field lines appear closed in your diagrams.
>
>
>
>     In my original resting electron model the TEQ was a circulating
> negative electric charge which circulated on the surface of a helix. I
> called the circulating TEQ a photon-like object since it was similar to my
> TEQ model of a photon.  I was assuming at that time that the photon in my
> resting electron model had spin 1, even though I had adjusted the helical
> radius so that the circulating TEQ generated the magnetic moment of the
> electron of 1 Bohr magneton, requiring a helical radius for the TEQ of Ro
> sqrt(2)/2 = 1.414 Ro which created the spindle torus in my model . So this
> was actually neither a spin 1 photon (whose radius for a resting electron
> would have been 2Ro, or a spin 1/2 photon, whose radius for a resting
> electron would be Ro, as in the 3D models that you and I generated from the
> moving electron equations I proposed. Since I currently prefer the model of
> an electron composed of a spin 1/2 circulating photon, this doesn’t
> generate the electron’s magnetic moment of 1 Bohr magneton. But it
> generates a magnetic moment more than 1/2 Bohr magneton which would be
> produced by a charge circulating at light speed in a simple double loop of
> radius Ro. I haven’t done the calculation for the magnetic moment generated
> by my spin 1/2 photon model of the electron, but I suspect that it would be
> 0.707 Bohr magneton (just a guess at this point). The calculation of this
> magnetic moment from the TEQ trajectory equations for a charged TEQ in the
> spin 1/2 photon model is relatively straightforward though.
>
>
>
>     By the way, have you looked at the side view of the actual TEQ
> trajectory at various values of v/c of the electron in the spin 1/2 photon
> moving-electron model that I proposed (and that you programmed and graphed
> in 3D to show how the model size changes as 1/gamma at various values of
> v/c)? The side view of the TEQ trajectory for a moving electron contains
> some surprises, at least for me. I thought that at high values of v/c (say
> 0.99 or 0.999) the TEQ would just appear from the side view to rotate
> helically around its reducing and increasingly more linear helical
> trajectory  (whose trajectory reduces as 1/(gamma^2), with the TEQ’s
> helical radius reducing as 1/gamma. But that’s apparently not what happens.
> Could you check this with your 3D program?
>
>
>
>      Richard
>
>
>
>
>
> On May 19, 2015, at 8:45 AM, Chip Akins <chipakins at gmail.com> wrote:
>
>
>
> Hi Richard
>
>
>
> If your spin 1 photon model of the electron is similar to John W and
> Martin’s model in that the field lines always orient with the negative end
> outwards (providing for charge) the estimated field distribution is similar
> to this illustration. (Equatorial View)
>
>
>
> <image001.jpg>
>
>
>
> (Top View from Z axis)
>
> <image002.jpg>
>
>
>
> (45 degree elevation view)
>
> <image004.jpg>
>
>
>
> Red lines represent negative ends of field lines, Blue lines represent
> positive, black is the transport radius, faint green line is one
> circulation at the transport radius.
>
> Photon field amplitude is shown as a cosine function of wavelength/2.
>
>
>
> Chip
>
>
>
>
>
> *From:* General [
> mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org
> <general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org>]
>  *On Behalf Of *Richard Gauthier
> *Sent:* Tuesday, May 05, 2015 10:06 AM
> *To:* Nature of Light and Particles - General Discussion
> *Subject:* Re: [General] Electron Torus
>
>
>
> Chip,
>
>    Perfect! It would also be good to have the pair of tori seen an an
> angle from above their ‘equator’ to get a more 3-D quality.
>
>       Richard
>
>
>
> On May 5, 2015, at 6:07 AM, Chip Akins <chipakins at gmail.com> wrote:
>
>
>
> Hi Richard
>
>
>
> How do these look?
>
>
>
> <image003.png>
>
> <image001.jpg>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
>
> Chip
>
>
>
>
>
>
>
> *From:* General [
> mailto:general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org
> <general-bounces+chipakins=gmail.com at lists.natureoflightandparticles.org>]
>  *On Behalf Of *Richard Gauthier
> *Sent:* Monday, May 04, 2015 1:18 PM
> *To:* Nature of Light and Particles - General Discussion
> *Subject:* Re: [General] Electron Torus
>
>
>
> Hi Chip,
>
>   The radius of the circle in the horn torus (spin 1/2 photon model)
> should visually be (since it is actually) 1/2 of the radius of the circle
> in the spindle torus (spin 1 photon model) -- the spin 1/2 photon model is
> smaller than the spin 1 photon model. Thanks! And could you perhaps show
> the energy quantum trajectory in a different color that the torus
> background so the trajectory stands out better?
>
>     Richard
>
>
>
> On Mon, May 4, 2015 at 10:42 AM, Chip Akins <chipakins at gmail.com> wrote:
>
> Hi Richard
>
>
>
> <image004.png>
>
>
>
>
>
> <image005.png>
>
>
>
> Chip
>
>
>
> *From:* General [mailto:general-bounces+chipakins=
> gmail.com at lists.natureoflightandparticles.org] *On Behalf Of *Richard
> Gauthier
> *Sent:* Monday, May 04, 2015 12:19 PM
> *To:* Nature of Light and Particles - General Discussion
> *Subject:* Re: [General] Electron Torus
>
>
>
> 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
> <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> 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
> <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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