The orbitsphere proposed by BLP is a fluid (non-rigid) sphere with electron currents along great circle routes. It can have net zero angular momentum where all the currents cancel out or it can have angular momentum where some orbits are not used.
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.
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.