[General] SU(2) equation set

[John Williamson]

Hello Chip,

Blue …

Hi John D

Thank you. And yes. More fundamental, meaning a bit simpler.

Yes, field is a bit simpler than “charge”, in that charge leads to the potentials (with a proper definition, and the potentials then lead to the fields. Also there is some hope of understanding charge from fields, but no hope of understanding chage if one starts with it a-priori.

But the thing that makes the energy in the electron go round and round, given what we know about light and the electron… this confinement/rotation thing, it seems must cause angular momentum in light as well. Not the same angular momentum, for the light energy is in a simpler configuration than the fermionic energy, but the same set of causes: energy behaving like energy behaves in space.
Agreed wholeheartedly. You do not need an extra thing to “make the light go round and round” and generate the angular momentum. The thing only works with angular momentum. It has to be there to balance the vector – as in equation 21. If you do that you get force-free motion. No that there are no forces – just that the forces balance. That is what the new equations 6-13 do for you.

I have explored literally dozens of different scenarios, some conjured up by me, many suggested by others, to explain just how this energy is confined in the electron.  (Including trying to figure out some form of self-diffraction causing confinement, but that does not work given what we know. The math does not work.  We have to break too many of the known “laws” to force fit this solution.) The only viable and supportable solutions I have found, require that light have a component of angular momentum.  Yes, superposition, and Chandra’s NIW could produce any measured polarization for light, but that would not alleviate the twist term requirement in field equations to explain electron confinement.  And if that twist term must exist, it is most likely that light is also quantized.  But when we say that light is quantized it does not mean that we are saying it is not a wave.  Light is a wave, and apparently it comes in quantized packets, but it is still a wave.

You and me both. I have found one that works though. That is wha the two papers are about. The forces are in there. Balanced. Look at it!

And likewise, the electron is a wave.  It is in a quantized and localized form, but it is a wave nonetheless. It is a very robustly confined wave, so it has particle behaviors, but it is a wave.

True.

Regardless of my personal views, energy is what it is, and it does what it does.  Given the knowns, that leads to a narrow set of possibilities.

Just looking for exactly what it IS, rather than what I would prefer it is, or what I think might explain it.

By the way, having worked quite a bit with standing waves (the EM variety), the standing wave analogy does not work for me.  For me, energy going round and round is not really the same thing as energy going back and forth. The standing wave analogy leaves out too much of the important detail.  The motion of the electron’s confined energy in the hydrogen atom, is different than the motion of the energy in a free electron.  And that difference is very informative.

Yes this is true. A standing wave IS just energy going back and forth. The energy in the hydrogen atom is not in a standing but a stationary wave. The electron solution, however, is not so different from that of the hydrogen atom, except that one, necessarily, has a double loop. It has to be a double loop for two reasons: firstly it is a turning twisted solution (eq 21), secondly the double twist solves the base (extended) equation with the rest-mass term, dG=0. The (electron) turn ends up being in a space parallel to, but not the same as the (photon) twist. You will understand this last statement once we get into the nitty gritty of the simulations we are going to do together.

Thoughts?

Lots!

Chip

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