Dimensionless Delay Angle and Double-Bounded Resonance: Intermittent Retreat Mechanism, Impedance Matching, and Forced Impedance Reset in the Earth-Moon System (Version v2 - Appendix A Added)

By restoring long-period micro-seismic waveforms previously filtered out as background noise in seismic time-series data, this study uncovers the non-linear coupling structure within the Earth-Moon system. This Version v2 (Oct 29, 2026) adds Appendix A and separates the Dimensionless Delay Angle into ideal and effective values. We establish the integer-ratio coupling mechanism of micro-multi-resonant cycles (Ts ≈25.01 s, Tw ≈150.04 s, Tr ≈299.86 s) propagating along the crustal waveguide and derive the physical significance of the Dimensionless Delay Angle (δ*), defined as the phase lag between tidal potential and actual crustal displacement. Mathematical derivation and RMS residual analysis (RMS = 0.012 rad) demonstrate that the delay angle functions as an indispensable Impedance Adjustment Value, preventing resonance destruction and locking the system into a 6×6×50 double-bounded resonance framework. Key findings:- Ts = 25.01 s (Surface Resonant Period, Merian T6 mode)- Tw = 150.04 s = 6×Ts (Merian T1 mode)- Tr = 299.86 s ≈ 300 s (Delay Angle Correction, Tr = 2×Tw)- Ttotal = 6×Tw×50 = 1800×Ts = 45,018 s- RMS delay angle residual = 0.012 rad (Effective), 0.0355 rad (Ideal)- Axial tilt projection factor α = cos(23.44°)×cos(i)×f_RMS ≈ 0.338 (Appendix A) Empirical validation: South Lhonak (2023), Thame/Thyanbo (2024), Rasuwa (2026) - all show identical 25s/150s resonance, confirming that closed mountain basins operate as resonant cavities triggering explosive Q-factor build-ups (Q≈75,000). Furthermore, this framework discusses modern anthropogenic disturbances as severe perturbations to Earth's tuned impedance parameters (R, C), warning that accelerating global disasters represent a 'Forced Impedance Reset' mechanism. This theoretical paper provides the physical foundation for the GLOF case studies reported in 10.5281/zenodo.23193435. Patent Pending: KR 10-2026-0191675