<div dir="ltr"><div><div><div>Dear John D,<br><br></div>The falaco soliton is only a 3D representation of the 4D system of an electron-positron pair. I can't give the full picture. It can show the 'wormhole' between the two matched sub-systems that are a single unit.<br><br></div>I like the hydraulic wave animation you provided. However, the vortex that I was picturing has a near-vertical axis. As a pair of vortices with a joining 'tube', the hydraulic structure would bob up & down and move along the plane-wave surface dragging the tube behind (moving slower because it is at a greater depth). The e-p case would of course 'bob' in and out of the EM potential field rather than the wave amplitude of the hydraulic pair.<br><br></div>Andrew<br></div><div class="gmail_extra"><br><div class="gmail_quote">On Thu, Apr 16, 2015 at 6:19 PM, John Duffield <span dir="ltr"><<a href="mailto:johnduffield@btconnect.com" target="_blank">johnduffield@btconnect.com</a>></span> wrote:<br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">
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<div>Andrew:</div>
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<div>Can I point out that the Falaco soliton is akin to half a smoke ring.
Thomson and Tait experimented with smoke rings, see <a href="http://zapatopi.net/kelvin/papers/on_vortex_atoms.html" target="_blank">On vortex
atoms</a> and <a href="http://www.scribd.com/doc/68152826/On-Vortex-Particles-Fiasco-Press-Journal-of-Swarm-Scholarship#scribd" target="_blank">On
vortex particles</a>. </div>
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<div><img title="FalacoSystem" style="BORDER-TOP:0px;BORDER-RIGHT:0px;BACKGROUND-IMAGE:none;BORDER-BOTTOM:0px;PADDING-TOP:0px;PADDING-LEFT:0px;BORDER-LEFT:0px;DISPLAY:inline;PADDING-RIGHT:0px" alt="FalacoSystem" src="cid:FD42002CEBA943619DCB71BF0CC62D22@HPlaptop" border="0" height="360" width="419"></div>
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<div>The electron as modelled by John W and Martin is like a smoke ring but with
a stress-energy flow rather than a fluid flow. One could think of it as an
optical vortex with a minor-axis “smoke ring” rotation as well as a major-axis
“steering wheel” rotation. The Falaco soliton isn’t like two of these things,
it’s like half of one. </div>
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<div><img title="toroid2" style="BORDER-TOP:0px;BORDER-RIGHT:0px;BACKGROUND-IMAGE:none;BORDER-BOTTOM:0px;PADDING-TOP:0px;PADDING-LEFT:0px;BORDER-LEFT:0px;DISPLAY:inline;PADDING-RIGHT:0px" alt="toroid2" src="cid:5090980E7C9643DFB758E8F5D69EA668@HPlaptop" border="0" height="484" width="507"></div>
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<div>There is a vortex of sorts associated with a water wave in that a test
particle moves rotationally. </div>
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<div><img title="Deep_water_wave" style="DISPLAY:inline" alt="Deep_water_wave" src="cid:316ACE6E1413444790904900F19998F4@HPlaptop" height="256" width="390"></div>
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<div>If you could contrive things so that the wave was moving in a very tight
circle, IMHO the test particles would be skew-displaced, but they wouldn’t move.
They might jitter a little, but they wouldn’t go round in circles like they do
when the wave moves linearly. It would look like there was no motion. Then what
we’d have is essentially a standing wave and a standing field instead of a field
variation. </div>
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<div>Regards</div>
<div>John D</div>
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<div><b>From:</b> <a title="mules333@gmail.com" href="mailto:mules333@gmail.com" target="_blank">Andrew Meulenberg</a> </div>
<div><b>Sent:</b> Thursday, April 16, 2015 5:55 AM</div><span class="">
<div><b>To:</b> <a title="davidmathes8@yahoo.com" href="mailto:davidmathes8@yahoo.com" target="_blank">David Mathes</a> ; <a title="general@lists.natureoflightandparticles.org" href="mailto:general@lists.natureoflightandparticles.org" target="_blank">Nature of Light and
Particles - General Discussion</a> ; <a title="mules333@gmail.com" href="mailto:mules333@gmail.com" target="_blank">Andrew Meulenberg</a> </div>
</span><div><b>Subject:</b> Re: [General] Electrons through the looking
glass</div></div></div>
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<div>Dear David,<br><br></div>I have long considered that the signature of a
good physicist is the ability to ask good questions. You do that. If you don't
mind, I will turn some of your questions into statements for our questionnaire
to determine the various positions of the group. Most of us have positions
relative to the possible answers.<br><br></div>Your last question is one that I
have not previously addressed and is very important: "...is the photon in the
electron the same as the photon outside the electron?" <br><br></div>In trying
to 'picture' the answer, I think of the falaco soliton and the production of
coupled vortex pairs from a paddle moving thru the water. To me this is a basis
for the formation of the electron-positron pair from a photon. However, in
looking closer at the analogy I would like to improve the simulation. The result
of water (e.g., in a stream) moving past a stationary paddle is not the same as
waves on a lake moving past the stationary paddle.<br><br></div>Has anyone seen
such a simulation?<br><br></div>Few of the water molecules are moving along with
the wave! So any vortices formed are not the same as with the stream flow. Most
of the water molecules in the wave flow back and forth; therefore, if the wave
is large enough for each wave cycle, four vortices (of some nature) would form.
They would be 'dragged along' by the wave at a much lower speed. The 'lagging'
pair would interfere with the leading pair being formed by the next 'surge' of
the wave. What happens to the disturbance moving forward in time and space? To
1st order, ignoring the lagging vortices provides an oppositely rotatiing pair
moving forward with the wave, but with a much reduced velocity. A portion of the
linear momentum of the incident wave (moving forward at a uniform velocity) has
been converted into the balanced angular momentum of the vortices that oscillate
back and forth as they move forward with the carrier wave. <br><br>There are
other similarities and differences between the leptons and the vortices, but
they would take more study than I have time for now. Nevertheless, just thinking
about vortices from the water waves is useful for thinking about the creation of
leptons from a photon. We would not think of the vortex pair as being the same
as the incident plane wave, and they are not. Yet they are closely related and
the pair is more so than either vortex alone.<br><br></div>Andrew<br></div>
</div></div><p>
</p><hr>
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