From running these hydrogen simulations, I think I understand why the
observed value of hydrogen's Rydberg constant R_H is non-relativistic. All
of the relativistic effects are relatively minor, and even a small amount of
fracturing the electron's orbit will wash them out. The averaged out vales
of energy, angular momentum and radii still must adhere to the n*h_bar
quantization rule, and with the relativistic effects averaged out due to the
fractured chaotic motion of the electron in a shell, the shell a hydrogen
atom presents to the outside world is non-relativistic in signature. The
basic Dirac energy equation produces a prediction of energy and a
corresponding radius that is too small, and according to these simulations,
the QED effects that "relax" the base-Dirac binding energy do not nearly
"relax" it enough. QM/QED is really too simplistic in the way it produces
expected values. Even a simple hydrogen atom is far more chaotically
complicated than the mathematics of QM can handle. The physical truth is
significantly more nonlinear than QM, and I suspect the only way to really
produce accurate expected values is to perform numerical computer
simulations like I am doing.

The computer simulation continues to produce jumps from the n = 1 shell to
the n = 2 shell all on its own. Like I mentioned in another post, there is
no purposeful programming of anything like forcing this jump anywhere in the
code. This shows to me there is a intimate link between the fracturing of
geodesics and the types of discrete jumps off of those geodesics that are
allowed by the rule of quantized angular momentum. But like I said, there is
nothing in the code that says "when the electron gets to the n = 2 distance,
stop and start filling the n = 2 shell." When the electron jumps out of the
n = 1 shell, it just does it on its own. Here is another example:

http://sb635.mystarband.net/kerr3_n2.pdf

Here is the chaotic, fractured motion of the electron during filling of the
n = 1 shell before the jump:

http://sb635.mystarband.net/kerr4_n1.pdf

And for those of you that don't think an electron is actually a particle at
an instant in time, I have one question: Do you believe in the wave collapse
idea in QM?


Steve Bell