The SQC Invariant: A Fundamental Electromagnetic Constant in Atomic Spectroscopy First Isolation, Naming, and Systematic Deployment Across Hydrogen Series, the Periodic Table, and DNA Nucleobases

This paper identifies the SQC invariant, ISQC=2πe2ε0mec3=7.42165600145×10−22 sI_{\mathrm{SQC}} = \dfrac{2\pi e^2}{\varepsilon_0 m_e c^3} = 7.42165600145 \times 10^{-22}\,\mathrm{s}ISQC=ε0mec32πe2=7.42165600145×10−22s, as a fundamental electromagnetic constant within the author’s Scretching Quantum Chain (SQC) framework and argues that its novelty lies not in the underlying textbook physics, but in its first explicit isolation, naming, and systematic deployment as a unifying diagnostic invariant across multiple spectroscopic domains. Although algebraically equivalent to the standard prefactor long embedded in oscillator-strength and Einstein-A21A_{21}A21 conversion formulas, the paper maintains that, prior to the SQC publications beginning in 2025, this quantity had not been treated as a named invariant within a deterministic chain framework spanning hydrogen, the periodic table, and DNA nucleobases. In this formulation, the invariant is elevated from a hidden conversion factor to a structured diagnostic law linking radiative observables through fixed slope, zero intercept, and deterministic closure. Using critically evaluated NIST hydrogen Lyman and Balmer series data, the paper verifies the relation A21=ISQC (g1/g2)fν2A_{21} = I_{\mathrm{SQC}}\,(g_1/g_2)f\nu^2A21=ISQC(g1/g2)fν2 with slope fixed entirely by fundamental constants and intercept constrained to zero. Within this interpretation, departures from perfect linearity do not undermine established physics, but instead diagnose convention mismatches, unit inconsistencies, or experimental systematics. The study further extends internal consistency checks across all 118 elements and the five canonical DNA nucleobases, arguing for the invariant’s broader diagnostic utility in atomic and molecular spectroscopy. Einstein B coefficients are also included in their correct per-frequency convention, completing the deterministic radiative triad and reinforcing the paper’s central claim: the SQC invariant is presented as a named, invariant-centered organizing principle whose systematic use across heterogeneous datasets constitutes the author’s independent contribution.