"Surfer" wrote in message
...



Here is a Kerr shell about half way to completion. It looks a little
squished due to perspective:

http://sb635.mystarband.net/kerr.pdf

The spherical shell is produced by the Kerr frame-dragging effects. It's
pretty, but I don't believe an actual electron shell is so perfect. I'm
thinking about how to produce a deterministic structure that would
actually
look stochastic to the eye.

Those are very nice plots. The idea that particles could be held
together by GR effects is an intriguing one.
If Gravity Probe B were to confirm Cahill's frame-dragging prediction
then I believe the frame-dragging term in your model would need to be
given an extra component to make it respond to velocity through
3-space--as described here.

Novel Gravity Probe B Frame-Dragging Effect
http://xxx.lanl.gov/abs/physics/0406121

So I think the spherical shell would then be caused to distort by
fluctuations in 3-space velocity, which are probably stochastic.

-- Surfer

I've never heard the name Cahill associated with frame dragging, it was
known early on by Lense-Thirring and then formalized by Kerr in the 1960s.
It's amazing that not much work was done for a few decades until Kerr did
his work. The Kerr frame dragging effects I am referring to in an atom are
not mass based, they are charge based. I worked up an electronic
Schwarzschild representation of an electrostatic Coulomb field first, then
generalized it to an electronic Kerr field. It looks like it unifies geo and
electro magnetism.

I would say the stochasticism is probably only approximate. One of the neat
things about using Kerr orbit theory, is that shells can be produced, as my
pictures show. I was thinking about what a completely isolated hydrogen atom
in ground state would settle down to, and I believe that then, the shell
goes away, and the electron settles into a plane perpendicular to the roll
axis of the proton. The magnetic fields of the electron and the proton would
naturally line them up like that. The proton is still spinning, but at zero
inclination for the electron, the electronic Kerr frame dragging effects do
not throw out of plane (but there is an effect on the binding energy). Then,
if this hydrogen atom were to be brought close to other matter, this
pristine condition gets modified, the electron gets pushed out of plane by
exterior forces, the frame dragging effects kick in and the shells are
produced. The motion though, through the shell is not as pretty as I showed
in the image, but gets deterministically chaotic, which might look
stochastic, but really is not. There is, though, an effective randomizing
effect, where due to the chaos, the electron's orbital plane is all over the
place, and any orbital-based magnetic field gets washed out. It's
instantaneously there, but it's direction changes fast enough to get washed
out. I think this is why it looks like there's no orbital-based magnetic
field interaction in an atom, at least in spherical shells anyway.

Steve