[General] Electrons through the looking glass

[John Duffield]

Andrew:

Can I point out that the Falaco soliton is akin to half a smoke ring. Thomson and Tait experimented with smoke rings, see On vortex atoms and On vortex particles.  



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.   



There is a vortex of sorts associated with a water wave in that a test particle moves rotationally.  



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. 

Regards
John D


From: Andrew Meulenberg 
Sent: Thursday, April 16, 2015 5:55 AM
To: David Mathes ; Nature of Light and Particles - General Discussion ; Andrew Meulenberg 
Subject: Re: [General] Electrons through the looking glass

Dear David,


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.


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?" 


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.


Has anyone seen such a simulation?


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. 

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.


Andrew



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