Deterministic Contextual Variational Framework for Generating Controlled Non-Classical Correlations

QRAFT-RA (Quadrature-based Reproducible Action-Structured Framework with Regularized Action) is a deterministic contextual variational framework for generating and verifying non-classical correlations through a fully reproducible computational pipeline. The framework combines: • a contextual action landscape on a compact latent domain• a Gibbs-type contextual distribution controlled by an inverse temperature parameter• an analytic noise-aware measurement map• deterministic quadrature evaluation of correlators and Bell-type functionals A complete deterministic verification hierarchy (V1–V17) is reported, including convergence tests, adversarial optimization under operational no-signaling constraints, industrial correlator validation (V14), and Titan-scale statistical stress testing (V15). In the General-MD regime the framework deterministically generates super-Tsirelson correlations: CHSH ≈ 3.576310390010 while maintaining operational no-signaling at machine precision: SIG ≈ 10⁻¹⁶. The work is presented as a deterministic mathematical and computational archetype for exploring contextual correlation structures and reproducible simulation pipelines. Related patent application:PCT/IB2026/050200 (QRAFT-RA-PCT-2026-01).