The paper's nondegenerate 'solution' is just the standard Dirac hydrogen solution with the known Lamb shift added as a constant energy shift, so it reproduces known energies without new physics.
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Nondegenerate, Lamb-shift Solution of the Dirac Hydrogen Atom
The paper's nondegenerate 'solution' is just the standard Dirac hydrogen solution with the known Lamb shift added as a constant energy shift, so it reproduces known energies without new physics.