What does this research mean for the field?

The Standard Coherence Fidelity Layer (SCFL) v6 provides a reliable, scale-free operator framework for detecting coherence drift, dimensional collapse, and rupture precursors in multivariate dynamical systems, achieving high predictive accuracy (AUC ≥ 0.87) in synthetic testbed validations. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

This work aims to formalize a scalable operator framework for coherence measurement and rupture detection in multivariate systems.

June 29, 2026Open Access

Operational Physics of the Standard Coherence Fidelity Layer (SCFL) — Canon Edition v6

Key Points

This work aims to formalize a scalable operator framework for coherence measurement and rupture detection in multivariate systems.
Developed a complete operator framework (C‑Ops, R‑Ops, S‑Ops) for measuring and detecting system parameters.
Validated the framework on the ACTIVSg2000 synthetic power-grid testbed with 2,000 buses and 3,206 branches under 500 Monte-Carlo scenarios.
Employed metrics like AUC, mean lead time, and sensitivity for performance assessment.
Achieved AUC ≥ 0.87 in out-of-sample validation: demonstrating effective precursor detection.
Observed +1.3 weeks mean precursor lead time; fragmentation index sensitivity increased by +23% over baseline.
Confirmed stable scenario-label embeddings with r ≥ 0.96, indicating strong reliability of operator architecture.

Abstract

This artifact presents the operational physics of the Standard Coherence Fidelity Layer (SCFL), the core measurement architecture of the UCMS canon. SCFL v6 formalizes a complete operator framework—C‑Ops, R‑Ops, and S‑Ops—for coherence measurement, rupture detection, and stabilization across multivariate dynamical systems. The architecture is validated on the ACTIVSg2000 synthetic power‑grid testbed (N = 2,000 buses; 3,206 branches; 500 Monte‑Carlo perturbation scenarios across four GYOR regime classes). All results derive exclusively from simulated testbed data and carry no clinical scope. 1. Scope and ContributionSCFL v6 defines a scale‑free, substrate‑agnostic operator system capable of: measuring coherence drift via Fidelity Projection; detecting divergence via Largest Lyapunov Exponent (LLE); quantifying memory loss via Half‑Life τ½; identifying dimensional collapse via Fragmentation Index F = 1 − det(K); modeling rupture propagation via Cascade Propagation (R‑Op2); and steering recovery trajectories via Stabilization Operators (S‑Ops). The operator architecture is structurally invariant across infrastructure, healthcare, organizational, and reinsurance domains, with empirical demonstrations in SCFL‑H (healthcare) and NRSCO v1.3 (reinsurance). 2. Testbed mean precursor lead‑time +1.3 weeks; Fragmentation Index sensitivity +23% over spectral‑radius baseline; scenario‑label embedding stability r ≥ 0.96 (metadata QC only); and bootstrap confidence intervals (1,000 resamples) for τ½ and F. These results confirm the reliability of SCFL’s precursor detection pipeline and its structural invariance across regime classes. 3. Operator ArchitectureC‑Ops (Coherence Operators): Fidelity Projection, Synchronization, Lagrangian Observer.R‑Ops (Rupture Operators): Fragmentation Index, Cascade Propagation.S‑Ops (Stabilization Operators): Attractor Injection, Containment Damping, Recovery Pathway Optimizer.These eight operators form the complete SCFL proxy chain from raw signal to precursor detection, rupture physics, and recovery. 4. Precursor Zones (Z1 / Z2 / Z3)SCFL v6 operationalizes critical‑slowing‑down theory into three precursor zones: Z1 (Early) characterized by shortened τ½ and rising LLE; Z2 (Mid) characterized by fragmentation onset (F → 1); and Z3 (Critical) characterized by bifurcation proximity 0.40. Thresholds correspond to 5% false‑positive operating points on ensemble ROC curves. 5. Rupture PhysicsRupture dynamics follow interdependent‑network cascade theory. The rupture centroid R₀ anchors propagation scoring, and S‑Ops provide basin‑reentry steering and recovery optimization. 6. LimitationsAll results derive from synthetic testbed data. Real‑world telemetry validation (ERCOT or equivalent Tier‑1 operator data) remains a priority next step. The NLP embedding stability analysis applies only to scenario‑label metadata, not physical trajectories. 7. Canon AlignmentThis artifact is Page II of the UCMS Canon and is structurally aligned with UCMS Trilogy Bound v6, Souljourner Interior Coherence Architecture, and NRSCO v1.3 Observatory. The operator architecture and rupture physics are frozen as part of the UCMS immutable canon. 8. CitationBrogdon, R. (2026). Operational Physics of the Standard Coherence Fidelity Layer (SCFL) — Canon Edition v6. UCMS Canon Page II. ORCID: 0009‑0009‑0507‑2971.

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