THE SCRETCHING SUPERCONDUCTOR CHAIN (SSC)

The Scretching Superconductor Chain: Maxwell–Scretching Constitutive Relations, f-Primitive Closure, and Deterministic Electromagnetic Algebra for Superconducting Materials — Corrected Edition This paper extends the Maxwell–Scretching electromagnetic framework to superconducting materials, establishing f_SC = 1/(μ₀λ²) as a single electromagnetic primitive from which the complete constitutive algebra of any superconductor is generated deterministically. Six constitutive relations (SC-CR-1 through SC-CR-6) are derived connecting f_SC to optical conductivity, spectral weight, attenuation, the Ginzburg–Landau parameter, absorption, and imaginary susceptibility — all via exact proportionality constants computed from fundamental physical quantities alone. Full numerical parameter sets are presented for six Type I (Al, Sn, In, Pb, Hg, Nb) and six Type II (NbTi, Nb₃Sn, YBCO, BSCCO, MgB₂, FeSe) superconductors. Regression analysis confirms R² = 1.0000 for all five linear relations by deterministic algebraic identity, and R² = 1.0000 for the exact quadratic closure α_SC = 2√(μ₀ f_SC) under the correct α_SC vs. √f_SC regression. This corrected edition implements four physics corrections identified in peer review: magnetic susceptibility χₘ corrected to −1 (SI Meissner state); imaginary permittivity ε_r″ and susceptibility χ″_SC rewritten with explicit ε₀ and ω₀ dependence; σ_abs derived from first principles via P_abs/I₀; and all R² = 1 regression results relabeled as algebraic identities rather than empirical fits. A new regression row confirming exact quadratic closure is added to all tables. Keywords: Maxwell–Scretching framework, superconductor electrodynamics, London penetration depth, f-sum rule, constitutive relations, Ginzburg–Landau theory, optical conductivity, spectral weight, deterministic electromagnetic algebra Author: Daniel C. Scretching, Sr. — Scretching Quantum Press LLC, Wyoming, USA ORCID: 0009-0008-9586-2717 Patents: U.S. Provisional 63/918,268 · 63/925,960 · 63/960,780