The electron orbits are (1x1)X(0.5x0.5) as the third wave is split over two orbits what one also sees in the electron g-factor.

An electron in resonance with a proton binds with all three waves- The  (0.5x0.5) interaction shares 1FC orbit with the proton. 1FC orbits are virtual charge orbits we also see in spin pairing e.g. in 4-He or in nuclear mass forming. The e-p excitation states n=1, n=2 show at two/one wave binding. The first "free" electron state is n=3!

3 waves = 3 independent rotation = 4D homogeneous space. That's the exterior of SO(4).

J.W.


On 27.02.2021 01:52, Robin wrote:
In reply to  Jürg Wyttenbach's message of Sat, 27 Feb 2021 00:28:36 +0100:
Hi Jürg,

Next question. Can a "fat photon" bind to a proton resonance? IOW are you sure the 
"fat photon" loses it's
identity/internal structure when bound in an atom?


What is a free electron, i.e. as used in an x-ray tube?

Good question!

Live - all the chemistry that forms/carries it - happens between the
electron and the proton (inside nuclei). So we stay in between.

Physically a free electron behaves like a fat photon with a locked in
wave that is responsible for its internal charge coupling - hence mass.

As in general relativity you can always find math to explain it
differently, but this will not change the three only observable of an
electron. It's mass, magnetic moment and the electron g-factor. Charge
is an attribute=axiom. But all factors are connected and not fully
independent.

But if an electron can be free is questionable as everywhere, there is
mass and most mass has a magnetic moment, hence there will be interaction.

J.W.

On 26.02.2021 21:41, Robin wrote:
In reply to  Jürg Wyttenbach's message of Fri, 26 Feb 2021 20:05:31 +0100:
Hi,
[snip]
No the electron has no stable strong force radius.

You can only measure the electron g-factor, where as you can get it from
a metric transformation from the proton strong force equation.

Physics will change. More radically as some will like.

J.W.
What is a free electron, i.e. as used in an x-ray tube?

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Jürg Wyttenbach
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