[General] Electrons through the looking glass

[Andrew Meulenberg]

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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