Based upon the ideas of Randell L. Mills MD, and Steven Florek,
combined with
my own supposition that rest mass and electrostatic potential energy
are
one and the same, I have put together the following Mathcad
document
.
Mathcad readers and plug-ins can be obtained from
Mathsoft
.
A derivation of the kinetic energy of the electron in the ground state
of
the hydrogen atom from the magnetic field energy showing that they are
one
and the same can be found
here
. This derivation is based around the concept of the De Broglie
wavelength
of the electron being able to wrap around the hydrogen nucleus multiple
times
in a three dimensional Lissajous figure. Standard QM assumes
quantisation
of angular momentum. That assumption is replaced here with the only
requirement
being that the De Broglie wave be in phase with itself when the
pattern
is complete. In the standard model of the hydrogen atom, this same
restriction
exists, however the further restriction is imposed that the De Broglie
wave
must be in phase with itself after at most one circuit. It is this last
restriction
that is dropped in this model. The result is a hydrogen atom that has
the
ability to shrink.
This results in energy levels that are in agreement with those
calculated
by Dr. Randell Mills, though the mechanism which maintains balance
within
the atom is different (Dr. Mills assumes excess charge creation through
trapped
photons, while this model is based upon multiple "wraps" of the De
Broglie
wavelength). The difference between the two models reveals itself
primarily
in the predicted radii of the shrunken atoms. Dr. Mills predicts a
radius
that shrinks proportional to the inverse quantum number, while this
model
predicts a radius that shrinks proportional to the inverse square of
the
quantum number.
You may contact me at rvanspaa@bigpond.net.au
.
Here is also a gif image: