🔍 Objectives
- Identify feedback motifs (positive/negative) that govern rift–uplift pacing.
- Quantify phase-locking and entrainment across orbital ↔ cryosphere ↔ tectonics.
- Estimate stability margins and conditions for runaway vs. damping.
🧠 Key Concepts
- Phase Locking: cycles capture each other (e.g., precession ↔ melt pulses).
- Fractal Synchrony: nested periods (annual → millennial → Myr) cohere.
- Delay Lines: cryosphere/viscoelastic lags produce oscillatory memory.
- Gain & Saturation: torque/melt amplification vs. threshold clipping.
- Gate Logic: chi-rhombant “open/hold” states controlling energy release.
📦 Data Inputs
- Orbital solutions (eccentricity, obliquity, precession) and solar proxies.
- Cryosphere indicators (ice extent, sea-level, meltwater pulses, δ18O).
- GNSS strain, seismic catalogs, heat-flow & gravity anomalies.
- Codex datasets: V9.2 pacing, V9.3 torque–rift ties, V9.4 nodes, V9.5 couplings.
🧪 Methods
- Cycle Analysis: cross-wavelet & coherence to detect locked bands.
- Delay Feedback Modeling: simple DDE/ODE motifs (gain, lag, saturation).
- Multiscale Sync: compute phase consistency across nested windows.
- Stress Coupling: regress/GRL indices vs. melt vectors & uplift rates.
- Stability Mapping: chart parameter zones for stable, quasi-periodic, runaway.
🗺️ Figures
- Phase-locking maps: coherence of orbital bands vs. cryosphere/tectonic responses.
- Feedback motif diagrams (positive/negative loops with delays & gates).
- Stability “Arnold tongue” plots showing lock regions by gain/lag.
✅ Outputs
- Catalog of feedback motifs with fitted parameters (gain, delay, thresholds).
- Sync scores per region/node for use in V9.7 catastrophe-window forecasts.
- GeoJSON layers tagging high-coherence corridors and control-gate locations.
📚 References (to stage)
- Orbital/insolation solutions; ice-core & sea-level stacks; GNSS strain & seismicity archives.