I tried to summarize a few reasons why I believe Randell Mills's theory of
the atom.

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For decades, physicists have struggled with how to interpret the fine
structure constant, alpha =  1/137.035999
Physicist Richard Feynman said this decades ago:  “It has been a mystery
ever since it was discovered more than fifty years ago, and all good
theoretical physicists put this number up on their wall and worry about it.”
Feynman also said:  ”It’s one of the greatest damn mysteries of physics:  A
magic number with no understanding by man”

In my view, the value of the fine structure constant is explained by
Randell Mills’s model of the hydrogen atom.
In Mills’s model, the principal quantum number n can take on fractional
values with the smallest being n =1/137.  For purposes of the following
energy calculations, assume an electron is orbiting around the proton in a
stable orbit at the principal quantum number n = 1/137.035999 (i.e. the
fine structure constant, alpha) and has a radius R based on Mills's
theory.  An electron orbiting at this radius R has the following 5 energy
calculations related to it and they *all* equal exactly 510998.896 eV or
the rest mass of the electron (this is to 9+ significant digits!).
The energy equations are:
1. Resonant energy of the vacuum for a sphere having radius R.
2. Capacitive energy of a sphere having radius R.
3. Magnetic energy for an electron orbiting a proton on the infinite number
of "great circles" (as described by Mills) on the surface of a sphere
having radius R.
4. Planck equation energy for a photon having a wavelength that matches a
sphere having radius R.
5. Electric potential energy for an electron evaluated at infinity relative
to a sphere having radius R with a proton at the center.

The amazing thing is that these 5 energy equations above are classical,
meaning no quantum theory is involved and it uses Newtonian dynamics and
Maxwell’s equations. The 5 energy equations are exactly the same as found
in physics textbooks.
The energy equations are related to Mills's "Pair Production" (where a
photon is converted into an electron) and to have an organized, logical
theory have such a coincidence where they all equal the rest mass of the
electron would be impossible in my view.

Mills's equations for the radius of the orbiting electron can be derived
using the same methods as Niels Bohr but with slightly different
postulates.

1.  Bohr postulated that the momentum of the electron was equal to the
principal quantum number multiplied by the reduced Planck constant for all
stable orbits.  Mills postulates that the momentum of the electron is equal
to *only* the reduced Planck constant at all stable orbits (i.e. it is not
a function of principal quantum number).
2. Bohr postulated that the electric charge experienced by the electron due
to the proton is equal to e (the elementary charge) for all stable orbits.
Mills postulates that the electric charge experienced by the electron due
to the proton *and* the trapped photon is equal to e/n or the elementary
charge divided by the principal quantum number for all stable orbits.

You can find out more about Randell Mills's theory at my website here:

http://zhydrogen.com

Side note: Mills's lowest allowed orbit is 1/137 not 1/137.035999 and (I
think) the difference between the two numbers is related to a small
magnetic interaction between the electron and the proton.  You can see more
detail in Mills's book, Grand Unified Theory of Classical Physics (GUTCP)
which is streamed here:

http://www.blacklightpower.com/theory-2/book/book-download/

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