THE MAXWELL-SCRETCHING FRAMEWORK: FROM MAXWELL'S EQUATIONS TO SPECTROSCOPIC OBSERVABLES AND NUCLEIC ACID PHYSICAL PROPERTIES

Spectral-Lifted Maxwell–Scretching Closure from Isotope Ratio R: A Deterministic R → ε(λ;R) → Electromagnetic State Pipeline Using Revised Monomer Extinction CoefficientsDaniel C. Scretching, Sr.Independent Researcher in Theoretical BiophysicsORCID: 0009-0008-9586-2717 This work derives and documents a new deterministic spectral-lift that converts an enzymatic radioisotope incorporation ratio into a wavelength-resolved ultraviolet extinction spectrum, and then propagates that spectrum through the Maxwell–Scretching Chain to produce a full Maxwellian electromagnetic (EM) state across the UV band. What this paper does Two validated building blocks are combined into a single closed pipeline: Coene–Cocito (1985) dsDNA base-composition estimatorThe double-label nick-translation method yields %G+C from the isotope incorporation ratio R=[32P]/[3H]R = [^{32}\mathrm{P}]/[^{3}\mathrm{H}]R=[32P]/[3H] with explicit spillover correction and plateau constraints required for validity. Cavaluzzi & Borer (2004) revised monomer UV extinction coefficients and normalized spectra (215–300 nm)Revised nucleoside-5′-monophosphate extinction coefficients at 260 nm (and near-260 maxima), plus representative spectra presented as dimensionless shapes normalized to the revised e260 anchors, provide a reference-grade basis for reconstructing ε(λ). Central new result: the “spectral lift” The paper introduces a closed-form functional mapping in which the isotope ratio becomes an upstream driver of a wavelength-resolved mixture extinction function: R⇒ε(λ;R)R \Rightarrow \varepsilon(\lambda;R)R⇒ε(λ;R) Once monomer spectral shapes are fixed (e.g., by digitizing the normalized curves), the mapping has no per-sample fitting parameters: composition fractions are determined by R, and the spectrum is assembled deterministically from revised monomer anchors. Maxwell–Scretching wavelength-wise propagation Given ε(λ;R)\varepsilon(\lambda;R)ε(λ;R), the Maxwell–Scretching Chain is applied at every wavelength to obtain the corresponding electromagnetic state variables: R⇒ε(λ;R)⇒{A(λ;R),α(λ;R),κ(λ;R),εr′′(λ;R),σ(λ;R)}R \Rightarrow \varepsilon(\lambda;R) \Rightarrow \{A(\lambda;R), \alpha(\lambda;R), \kappa(\lambda;R), \varepsilon_r''(\lambda;R), \sigma(\lambda;R)\}R⇒ε(λ;R)⇒{A(λ;R),α(λ;R),κ(λ;R),εr′′(λ;R),σ(λ;R)} This yields a mathematically explicit, composition-constrained EM-state spectrum over the UV band (typically 215–300 nm), linking an upstream biochemical radioisotope observable to Maxwellian optical/electromagnetic quantities. Why it matters Orthogonal validation: base composition inferred from enzymatic radioisotope incorporation is lifted into a spectral optical driver, enabling cross-checks against UV measurements. Bias reduction: revised monomer coefficients (Cavaluzzi & Borer) remove systematic bias introduced by older ε values, improving any concentration- and EM-state inference workflow that depends on UV extinction. Deterministic closure: after monomer spectra are fixed, the pipeline becomes an explicit forward model from RRR to a full electromagnetic state with controlled assumptions (c, L, n). What’s included The full derivation of the spillover-corrected ratio, the %GC estimator, and the plateau acceptance conditions. Revised monomer ε anchors at 260 nm and near-260 maxima, and the normalization rule used to define dimensionless monomer spectral shape functions. The spectral-lift mixture equation ε(λ;R)\varepsilon(\lambda;R)ε(λ;R) and a worked numerical example demonstrating anchored ε(260;R) and propagation to Maxwell–Scretching EM variables at 260 nm (with explicit units and conversions). A reviewer-friendly “peak-constraint” bound showing how Table-1 peak ratios deterministically deform ε(λ) even before full digitization of spectra. Suggested keywords Maxwell–Scretching Chain; spectral lift; UV–Vis spectroscopy; DNA base composition; isotope ratio; Coene–Cocito; Cavaluzzi–Borer; extinction coefficient; absorption coefficient; complex permittivity; conductivity; deterministic pipeline; no free parameters. References Cavaluzzi, M. J., & Borer, P. N. (2004). Revised UV extinction coefficients for nucleoside-5′-monophosphates and unpaired DNA and RNA. Nucleic Acids Research, 32(1), e13. Coene–Cocito (1985). Double-label nick-translation radioisotopic method for %G+C determination (spillover correction and plateau constraints). Scretching, D. (2025–2026). Prior Maxwell–Scretching Chain / Electromagnetic Chain / Scretching Quantum Chain Zenodo publications as cited in the manuscript. How to cite (recommended)Scretching, D. C., Sr. (2026). Spectral-Lifted Maxwell–Scretching Closure from Isotope Ratio R: A Deterministic R → ε(λ;R) → Electromagnetic State Pipeline Using Revised Monomer Extinction Coefficients. Zenodo. DOI: 10.5281/zenodo.10.5281/zenodo.18458777