The previous plots I've shown have all used significant electronic Kerr
frame dragging effects (magnetism). The scaling of electronics that unifies
with gravity produces much smaller frame dragging effects. So, I
parameterized as for unification, and ran some computer simulations, and got
some interesting results. I generated a type of orbit that, well, you have
to see to believe. These were monte carlo simulations were the flight path
of the electron in hydrogen's n = 1 shell was randomly perturbed up/down,
producing a small change in inclination after every integration step. The
state into the integrator was jumped forward deterministically as according
the electronic Kerr equations of motion, then the resultant velocity vector
lofted or depressed according to a small random up or down draw (up:down
50:50). The first level of stable orbitry produced the following plot (sorry
for the 2.3 MB file, but I had to plot lots of orbits to visualize the
random wander of the orbital plane):

http://sb635.mystarband.net/kerr1.pdf

The (view from directly above) plot shows a relatively stable orbital
structure visually, and in fact these orbits are essentially totally
mechanically stable. The initial conditions for this plot was for the
electron starting off with zero inclination in a circular ground state
orbit. The orbital motion obviously looks "disturbed" but a phase plane plot
of the above is essentially that of a perfect circle, flat constant velocity
for all positions. I next increased the magnitude of the velocity
perturbation, and a most amazing thing (to me, anyway) occurred. The result
for the same initial conditions, is at (1.8 MB):

http://sb635.mystarband.net/kerr2.pdf


The number of orbits plotted was reduced for clarity, but it's obvious a
complete shell could be created (and extremely rapidly, give the
astronomical angular rotation rates involved). The amazing thing is this
wiggly motion is also essentially completely conserved. Once again, the
phase plane plot is that of a perfect circle. So, I increased the
perturbations some more, and got the final plot:

http://sb635.mystarband.net/kerr3.pdf

This one is really weird, it looks like the electron is tracing out
continents during these 50 orbits. Further motion would complete the shell
(extremely quickly). Yet still here, the motion is conserved. The phase
plane plot is again circular, which also shows these effects are not related
to numerical errors of the simulation. When such errors crop up, usually one
does not see such deterministic phase plane physics. Also, there is a
distinct trend in the physical effects of reducing the perturbation
strength, with an eventual obviously fractal signature. I am beginning to
think this is actually how an electron's deterministic motion reacts to
stochastic attacks from the outside, with strangely enough, probably the
last one most representative. These atomic results might dove-tail nicely
with Dr. Cahill's Process Physics, and graphically show how fractured (but
conserved) orbital motion has strong attractors which are the shells
themselves. I think these fractal shells can be squished, and would produce
the various lobed orbitals seen in images.

Steve Bell