SVEM-GT v3.0: Universal Quantum-Geometric Law Unifying Five Superconducting Families via Multiplicative Strain-Vacancy Coupling

SVEM-GT v3.0: A Unified Quantum-Geometric Framework for Superconductivity This release presents SVEM-GT v3.0, a closed-form phenomenological model that unifies five major families of high-temperature superconductors—cuprates, nickelates, iron pnictides, kagome metals, and high-pressure hydrides—under a single quantum-geometric law. The superconducting critical temperature (Tc) is predicted by: Tc = A × (ε)^α × (δ)^β × (V_H)^γ where: ε is the epitaxial strain δ is the oxygen vacancy concentration V_H is the Hilbert-space volume derived from DFT-based quantum geometric descriptors Validated across 25 materials using Leave-One-Family-Out Cross-Validation (LOFO-CV), the model achieves: RMSE = 42.1 K R² = 0.81 This multiplicative coupling reveals a super-linear synergy between strain and vacancies, consistent with recent experimental findings (Nature Physics, 2024). The framework offers a transparent, reproducible path for accelerating superconductor discovery. Included in This Release Full manuscript (PDF) Complete dataset and analysis code Figure 3: Predicted vs. observed Tc and residual distribution (ΔTc) Version Note (v3.0) This version expands upon SVEM-GT v2.0 by: Incorporating two new superconductor families Refining model coefficients (α, β, γ) Enabling full LOFO-CV reproducibility Author and CreatorDeymison Elias dos ReisORCID: 0009-0001-2550-6169