Extension of the SQC Invariant Beyond the Maxwell-Scretching Nucleobase Closure
Abstract
This revised paper rebuilds the nucleobase SQC analysis around a single unified data table containing the recovered SQC invariant or Scretching invariant explicitly for adenine, guanine, cytosine, thymine, and uracil. Using the Maxwell–Scretching nucleobase dataset and CODATA 2022 values adopted by NIST, the study verifies the fixed 260 nm radiative law, ISQC=2πe2ε0mec3=7.421656001450×10−22 s,I_{\mathrm{SQC}}=\frac{2\pi e^2}{\varepsilon_0 m_e c^3}=7.421656001450\times 10^{-22}\ \mathrm{s},ISQC=ε0mec32πe2=7.421656001450×10−22 s, and then uses the nucleobase table itself to extract additional useful constant relations. Beyond the direct projection A21=ISQC fν2,A_{21}=I_{\mathrm{SQC}}\,f\nu^2,A21=ISQCfν2, the nucleobase rows recover a family of nearly invariant zero-intercept ratios, including f/ε260f/\varepsilon_{260}f/ε260, α/ε260\alpha/\varepsilon_{260}α/ε260, σ/ε260\sigma/\varepsilon_{260}σ/ε260, κ/ε260\kappa/\varepsilon_{260}κ/ε260, εr′′/ε260\varepsilon_r''/\varepsilon_{260}εr′′/ε260, A21/fA_{21}/fA21/f, and ∣μ12∣2/f|\mu_{12}|^2/f∣μ12∣2/f. These results show that the SQC invariant is most securely interpreted as an optical-strength invariant, while the associated 260 nm cofactors function as practical conversion constants linking molar absorptivity, oscillator strength, absorption measures, Einstein transition rate, radiative lifetime, and transition dipole magnitude. The revised paper also retains a brief discussion distinguishing which broader extensions are directly established by the nucleobase table, which are indirectly supported, and which remain open for future investigation.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
DNA and Nucleic Acid Chemistry
Atomic and Molecular Physics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 13 March 2026
- Language
- EN
- Document type
- Preprint