A Reproducible Kernel-Damping Evidence Protocol for SORT-AI Core-3 Structural Coupling Regimes

This technical note introduces a reproducible kernel-damping evidence protocol for the SORT-AI Core-3 applications AI.01 (Interconnect Stability Control), AI.04 (Runtime Control Coherence), and AI.13 (Agentic System Stability). These applications span complementary structural coupling regimes in advanced AI systems: physical/interconnect coupling, logical/runtime-control coupling, and semantic/agentic coupling. The protocol evaluates whether declared structural risk-transition scenarios admit a Gaussian kernel-damping reconstruction under the declared canonical SORT scale parameter σ 0 = 0.00190643. The analysis is restricted to the structural analysis layer and does not claim production deployment, vendor-specific measurement, empirical benchmarking, runtime optimization, or execution by MOCK v4. MOCK v4 is treated as the frozen structural reference architecture, not as a runtime engine. The accompanying archived evidence release contains machine-readable scenario inputs, declared risk-transformation rules, executable scripts, expected outputs, generated outputs, and a reproduction manifest sufficient to reproduce all reported κ, ξ, scenario-level means, sample dispersions, and coefficients of variation. The contribution is methodological: the note formalizes a reproducibility protocol through which SORT-AI Core-3 applications can be tested as structurally defined damping regimes without converting MOCK v4 into an execution environment or introducing a new MOCK version.