This Add‑On Paper A.1 extends Version 1.0 of the mode‑structured electron framework by applying the internal equilibrium‑mode interpretation directly to atomic spectroscopy. The paper derives the quantitative energy law En=−A/n2(1+ϵ/n) and shows that the resulting ϵ/n3 correction produces a rigid, falsifiable deviation pattern in hydrogen and hydrogen‑like ions. The model predicts line‑specific fractional shifts, series‑limit deviations, micro‑splitting, weak‑line intensities, and Z2 scaling, all governed by a single structural parameter ϵ. These predictions differ from standard QM and QED in fixed, numerical ways and cannot be tuned on a line‑by‑line basis. The paper establishes spectroscopy as the first empirical domain capable of testing the internal mode structure of the electron and provides the quantitative foundation for subsequent Add‑On papers in the empirical expansion series.
James Reeves (Sun,) studied this question.