Deterministic Contextual Variational Framework for Generating Controlled Non-Classical Correlations — Extended Verification Suite (V16–V17 Integration)

We introduce QRAFT-RA, a deterministic contextual variational framework for the generation and verification of non-classical correlations through an explicit, auditable, and fully reproducible pipeline. The construction is based on:(I) a contextual action landscape defined on a compact latent domain;(II) a Gibbs-type contextual distribution controlled by an inverse temperature parameter;(III) an analytic, noise-aware measurement map; and(IV) deterministic quadrature evaluation of correlators, Bell-type functionals, and operational no-signaling diagnostics, without Monte Carlo sampling. A comprehensive deterministic verification hierarchy (V1–V13) is reported, alongside industrial verification artifacts (V14–V15). The framework demonstrates a General-MD regime exhibiting stable super-Tsirelson correlations (CHSH ≈ 3.575) while maintaining operational no-signaling to numerical precision (SIG ≈ 10⁻¹⁶). Furthermore, an industrial Latent Random Field (LRF) kernel (V14) demonstrates an approximate 2000× computational speedup, and a Titan-scale stress test (V15) certifies statistical stability over 10¹¹ samples with a Z-score of approximately 1.36. The framework is presented as a mathematical archetype for reproducible exploration of contextual correlation structures. --- Extension in the present release (V16–V17–OMEGA PRIME v11) The present version extends the verification suite with additional reproducibility and stability layers that do not modify the theoretical structure of the framework but strengthen its numerical robustness and auditability. These include: • V16 — a high-resolution continuity and regularity analysis of the latent contextual density, confirming stable normalization and smooth convergence of energy diagnostics under large-scale grid refinement; • V17 — a reproducible large-scale statistical audit of the induced reference channel, implemented as a deterministic-seed streaming verification with tamper-evident audit chains; • a deterministic phase-crossing solver identifying the parameter value at which the CHSH functional reaches the Tsirelson bound; • and an engineering demonstrator (OMEGA-PRIME v11) providing an auditable transmission pipeline with capacity-safe encoding, CRC verification, and chained cryptographic hashes. These additions extend the framework from a purely deterministic verification hierarchy to a complete end-to-end reproducible pipeline spanning deterministic theory checks, statistical validation, and engineering-grade auditability. --- Computational assistance note AI-based tools were used as auxiliary support for text editing, code organization, and consistency checks. The framework architecture, theoretical formulation, and all reported results are solely attributable to the author. --- Disclaimer This framework is presented strictly as a deterministic mathematical and computational archetype for simulation and engineering applications. It does not claim microscopic physical realizability nor an intended description of fundamental quantum systems.