This is a discussion based on the rudimentary paper On atom energy states

The idea is as follows. Randell Mills has a bunch of interesting expressions for energy states in different atomic and molecular contexts that are beneficial for chemistry understanding. however these formulas do not not following a deduction method that rests on a clear theoretical and logical foundation. It's very hard to follow and hence the research community has declined to accept the formulas as a consequence of a proper model.

So I have observed that mass can be explained using the notion that space cannot support a high enough energy density or similar quantity. If one accepts this notion the trick is to enable a model that is Lorentz invariant, which is the litmus test for a proper model to base further development. In the search for this model, I investigated current lines at the speed of light and draw some conclusion to formulate the basic building block of space. This is essentially current streams that only interact if two segments are parallel, likewise directed and located at the closest distance if we draw out the tangent lines. Now, it appears that using this object, many of the theoretical problems with Mill's theory are no longer strong issues. But we can do more. As Mills theory produces equations for energy levels of atom ions and molecules that are very exact. As exact (absolutely) as the best traditional QED model for hydrogen. Mills also has a closed formula for helium atoms and similar 2 electron ion's. The issue with Mill's deductions is that it is generally assumed to be difficult to follow all steps of the calculations and there is no general approach so that you can program a computer to answer more general questions, about chemical properties of atoms and molecules at the same detail as the case based calculations he perform. It gives the impression to be Ad hoc.

The approach in the paper is to use the energy density constraint and form a general expression and then use the Klein Gordon equation for the radius that I deduced in Klein Gordon and could fix the unknowns. This looks promising and in the next step use this information, to deduce Mill's formula for the second electron's radius and hence also imply the excellent energy levels that this formula produces.

The paper is not finished. It may contain holes, but I find it tantalizing and promising and hope other will agree.