Correlation, Regression, and Einstein-B Analysis of the Nucleobase SQC Dataset Derivation of the First and Second Scretching SQC Invariants from A, G, C, T, and U

This paper analyzes a five-row nucleobase dataset for adenine, guanine, cytosine, thymine, and uracil to determine the correlation and regression structure of their optical-response variables and to recover the Scretching SQC invariants directly from the tabulated data. Using the principal radiative variable X=fν2X=f\nu^2X=fν2, the study shows that zero-intercept regression of A21A_{21}A21 on XXX reproduces the first SQC invariant with near-perfect linearity, yielding a slope essentially identical to the rowwise reconstructed values and confirming that the nucleobase dataset is governed by a highly stable radiative scaling law. The paper therefore presents the first SQC invariant not merely as an abstract constant, but as an experimentally recoverable organizing relation embedded in the optical properties of the canonical DNA and RNA bases. The work then extends the analysis into the Einstein-BBB sector by reconstructing B21B_{21}B21 and B12B_{12}B12 from the same dataset and introducing a second invariant, JSQC=Bν/fJ_{\mathrm{SQC}}=B\nu/fJSQC=Bν/f, under the normalized equal-weight condition B12=B21≡BB_{12}=B_{21}\equiv BB12=B21≡B. This second invariant is shown to remain nearly constant across all five nucleobases, with the same exceptionally small variation seen for the first invariant. Together, the results demonstrate that ε260\varepsilon_{260}ε260, fff, XXX, A21A_{21}A21, BBB, and related constitutive variables form a tightly closed one-factor optical chain, while τrad\tau_{\mathrm{rad}}τrad behaves as the expected inverse radiative lifetime. Overall, the paper positions the nucleobase dataset as a compact but powerful validation set for both the first and second Scretching SQC invariants and for the broader deterministic optical structure of the SQC framework.