For those of you who complain that the theory is often dismissed out
of hand by professional scientists who do not give it due
consideration, here's a bit of explanation for why the theory is so
totally incorrect.
1. Mills starts with a standard scalar wave equation. This can't
possibly be a valid equation for the electron in a hydrogen atom.
For starters, the wave equation doesn't incorporate the
electromagnetic force. So it's inconceivable that the solutions to
this equation could represent bound states of an atom which is held
together by the electromagnetic force. (By contrast, the
Schrodinger equation for a hydrogen atom does include the
electromagnetic force.)
2. Also, the wave equation doesn't contain Planck's constant. Since
we know that the electron's energy levels depend on this physical
constant, it has to appear somewhere in the basic equation. (It
does appear in the Schrodinger equation, of course.) I noticed
that somewhere on the BLP web site Mills refers to his wave
equation as a "Schrodinger-type" equation. This is completely
misleading. He's starting with an equation which can't possibly
have bound-state solutions.
3. How, then, does Mills get his "orbitspheres" to appear to follow
the known energy levels of the hydrogen atom? Simple. He solves
the equation incorrectly. His use of a delta function to solve the
radial component of the wave equation is a bad joke. It's horribly
wrong. The correct solutions are given by spherical Bessel
functions. There is NO way to solve the wave equation with a delta
function in radius, period. This is really basic, textbook stuff
on differential equations. The so-called "solutions" that Mills
gives do not actually solve the wave equation that he uses.
4. The point of all this is: If you start with the wave equation that
Mills uses, and you solve it correctly (no matter what boundary
condition you use), you will NEVER get solutions which look like
bound states in a hydrogen atom. The claim that Mills's theory can
correctly reproduce the known energy levels of hydrogen is
completely without merit. There is no way to get the energy levels
of hydrogen as solutions to an equation that does not include the
electronic charge or Planck's constant. And it is TOTALLY
incorrect to say that delta functions are a solution to the radial
component of the wave equation. It's impossible for a delta
function to be a solution to a differential equation like this,
because the derivative of a delta function is not a meaningful
quantity.