Re: Further Simulation Proof of Hydrogen's Non-relativistic R_H


Thanks for posting this very interesting work.

If you 'fractured' a linear oscillation, I wonder if you would end up
with a dumbell shaped orbit?

--Surfer


Thanks. I believe there would be a situation where a 3-D figure eight
shaped
orbital would be produced, that's in forming an H2 molecule. The single H
atoms are brought together, and the electronic repulsion of the two
spherical n = 1 shells pushes each shell's electron to run around more on
regions of the combined shell on opposite sides of each other. These
fractured electron orbits can have the electron stay on a patch of the
shell
for much longer than one classic period, and it does not go all the way
around at all during this extended time. What I'm thinking is that the
electronic repulsion forces each electron to hang out more than 50% of the
time on diametrically opposed patches of the combined dumbbell shaped
orbital. Every now and then, probably fairly frequently, one electron
tracks
its way through the intersection and starts to the other lobe, and that
pushes the other to do the same "out the other side," and they zoom around
the 3-D dumbbell-shaped racetrack, all on a combined attractor surface for
the combined shell.

Steve Bell


I've been investigating how the n = 2 fine structure might be explained
using these fractured orbit ideas, and a very nice practical result/idea has
surfaced. The fractured n = 2 shell looks like (almost complete):

http://sb635.mystarband.net/fig6.pdf

The radius of this shell is the non-relativistic Schroedinger-theory defined
radius for n = 2. To get to this condition, I started with the Kerr-theory
defined radius and fractured the orbit. One of the things that pleases me
greatly is at the limit of fracturing, the Kerr initial radius is relaxed to
the Schroedinger radius all on its own. I do not believe this could be a
coincidence, and points to using electronic Kerr theory as being correct.
But in reality, the electronic Schwarzschild theory is about 99% as good as
Kerr. I am seeing the main driver in the non-relativistic signature of
hydrogen is random perturbations of state, not magnetics.

In a perfect environment with no state perturbations, the atom settles down
to a perfect Kerr orbit, not fractured at all, and just goes round and round
forever maintaining constancy of electronic Kerr total orbital energy and
angular momentum. The binding energies predicted by quantizing the theory to
multiples of h_bar are deeper than any orbit theory has produced so far. The
Sommerfeld n = 1 energy is about 1.8 x 10^-4 eV deeper than the
non-relativistic Schroedinger energy, and the Schwarzschild energy is even
deeper at about 1.4 x 10^-3 eV deeper down than Schroedinger. This is also
basically the electronic Kerr ground state binding energy difference.
Fracturing an orbit will push the orbit radius out, and loosen the binding
energy. The proof, to me, of the correct physics here is that at an ever
increasing level of fracturing, the non-relativistic Schroedinger radii are
converged upon, without telling the program to do this in any manner. And it
is these non-relativistic energies we see in the laboratory, so the
simulation is in agreement with observation.

I decided to find what level of fracturing might explain the fine structure
of the n = 2 shell. The energy difference here amounts to only about 4.5 x
10^5 eV (see
http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/hydfin.html). By trial
and error, I found the fracture level that produced this amount of energy
below the non-relativistic energy. Basically, all of the fracturing was
needed to be removed. The following plot is at a level about 5 x 10^-5 eV
below the above plot:

http://sb635.mystarband.net/fig5.pdf

It would appear for this level to exist, it can't be that fractured, hardly
at all. How could this happen? It maybe that while the electron is in the
further out, less-deep n = 2 non-relativistic shell, it "shields" this
energy level immediately below from significant perturbations. This
non-relativistic shell "takes it in the shorts" and the environment
immediately below is made quiescent. It is interesting to note that if all
perturbations are shielded, this level would be too far from the
non-relativistic level, but not by much. It just takes a small amount of
fracture (as in the above plot), like what might be "let through" the
"front-line" non-relativistic shell to get a fine structure match. The
shielding has to be almost but not quite 100% efficient.

Steve Bell


.

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