This paper extends the Scretching Quantum Chain (SQC) framework to three of the most important fine-structure phenomena in hydrogen spectroscopy: the Lamb shift, hyperfine structure, and the Zeeman effect. Building from the verified SQC radiative backbone, the work preserves the deterministic linear relation among oscillator strength fff, transition frequency ν\nuν, statistical-weight ratio g1/g2g_1/g_2g1/g2, and the Einstein spontaneous-emission coefficient A21A_{21}A21, all governed by the fixed electromagnetic proportionality constant KνK_\nuKν. The study then shows how fine-structure perturbations enter this chain through controlled frequency displacements Δν\Delta \nuΔν, allowing the perturbed observables to be written in unified SQC form. The paper develops new SQC-based expressions for shifted hydrogen transitions and analyzes how Lamb-shift, hyperfine, and Zeeman corrections modify the invariant quantity X=(g1/g2)fν2X=(g_1/g_2)f\nu^2X=(g1/g2)fν2 and its frequency-shifted extensions. In this treatment, line displacements, radiative changes, and related electromagnetic response quantities are connected within one algebraic framework. The work also distinguishes carefully between electric-dipole transitions and the magnetic-dipole 21 cm hyperfine transition, and it separates Zeeman line positions from Zeeman line strengths so that the formalism remains consistent with standard spectroscopy. More broadly, the paper positions these results as an extension of the SQC–MSC program: a first-principles chain linking microscopic quantum radiative structure to observable electromagnetic behavior without empirical fitting. The derived relations are presented as original theoretical extensions within the author’s SQC framework and are intended to support further applications to hydrogen spectroscopy, radiative physics, and related electromagnetic systems.