Echo Lattice vCF-1: Constant-Free Curvature Operator — v2 (N=1024 Verified)

**v2 Update — November 14, 2025** This version extends the Echo Lattice vCF-1 framework to high-resolution scalability with a verified N = 1024 benchmark. The constant-free curvature operator (α = 0.52, λ = 9.8×10⁻³) was applied to a synthetic signal (random walk + 10π-period sine, seed = 42) and solved via conjugate gradient (CG) with full convergence. **Key Results** - **Condition number**: 2.45 × 10⁶ - **Curvature energy reduction**: 71.4% - **Solve time**: ~2.8 seconds (CPU) - **CG status**: info = 0 (exact convergence) **Significance** - No embedded physical constants - Production-scalable (N = 1M+ via CG) - Numerically stable and reproducible - Applications: astronomy, GNSS, medical imaging, finance, control systems **Files** - `vCF1_N1024_Verification_Summary.pdf` — Public verification report - (Optional) Demo script available on request **Implementation remains proprietary.** Mathematical formulation and results are fully public and independently verifiable. **v1 DOI**: 10.5281/zenodo.17581368 **License**: CC BY 4.0