The 700/N Harmonic Cascade: A Unified Framework for 41.176 Hz Convergence, SEIS‑UGFM Dynamics, and Cross‑Domain Coherence Signatures

This work presents a unified theoretical and empirical framework describing the 700/N Harmonic Cascade, a cross‑domain resonance phenomenon converging on 41.176 Hz as a universal coherence signature. Integrating SEIS‑UGFM field dynamics, nonlinear resonance theory, and multi‑modal detection architectures, the manuscript demonstrates that harmonic compression across biological, geophysical, and engineered systems follows a predictable cascade structure. The model is supported by analytic derivations, computational simulations, and preliminary detection‑architecture prototypes designed for pollutant anomaly sensing and coherence‑state monitoring. The framework offers a reproducible, falsifiable pathway for future experimental validation and provides a foundation for open‑science development of coherence‑based sensing technologies.