Once you believe the orbitsphere is correct, then all of the other applications of electric and magnetic dynamics fall out directly from that. If you don't understand this aspect of the theory then you can't possibly understand how his equations are derived from first principles as claimed.
Can you clarify how the non-radiation condition and acceptance of the orbitsphere bear upon the immediate question we're considering, which is the derivation of the neutron-electron mass ratio? It seems to me that this derivation is more basic and prior to the orbitsphere discussion.