How could that work? First of all, a fluid confined to a sphere can not have independent great circle orbits, so the material he is describing is extremely exotic. And its still totally possible to have a continuum of angular momenta if we imagine such a weird substance could exist.
In any case, no where in his big weird book does he delineate the precise physics of such an exotic substance. Like literally show me in his text where he calculates the energy levels of say, helium, beyond a first approximation. Regular old quantum mechanics and perturbation theory is totally up to this fairly simple task, but I don't see any such calculations anywhere in BLP's textbook.
An electron is more flexible in its internal structure than a soap bubble so BLP claims it does all possible great circle orbits all at once. The charge distribution does not change over time so there is no radiating away of energy even though the charge is all moving and orbiting. There are a bunch of spreadsheets calculating Helium states on the Atomic Theory page. https://brilliantlightpower.com/atomic-theory/ has a table of contents that includes Excited States Of Helium in chapter 9 page 301.
Have you looked at these "calculations?"
There is nothing in these tables except a bunch of numbers. There is no development of the basic physical theory, no explanation of how the formulae or numbers are arrived at.
Its bullshit, dude.
Let me ask you: have you ever calculated the Helium energy levels in regular old Quantum Mechanics? If a student submitted these tables to me I'd give them a D.
Did you read chapter 9?
https://brilliantlightpower.com/GUT/GUT_Volume_1/