Ripple: Measurement, Propagation, and Actuarial Translation of Cross-Domain Coherence Perturbations

This paper introduces a formal framework for detecting, measuring, and translating cross-domain coherence perturbations — termed ripples — into actuarially relevant risk signals. Drawing on the Seam-Level Structural Coherence (SCFL) measurement architecture developed by Upstream Coherence Measurement Stratum (UCMS), the paper defines three core measurements: the Ripple Ratio, the Ripple Multiplier, and Ripple Curvature. Together these characterize propagation dynamics, cross-domain amplification, and tail-risk trajectory. Ripple detection is operationalized through the Tier-2 Seam Ripple Operator — a four-condition gate requiring origin perturbation, lag window confirmation, sign consistency, and seam activation. The framework is demonstrated across four historical cases (Flint Water Crisis, Samsung semiconductor cascade, Northridge 1994, Boeing) and translated directly into actuarial frequency, severity, and reserve models. Ripple is the earliest measurable signal that a loss is still growing — shifting catastrophe modeling from retrospective estimation to real-time structural inference.