Overview
V4.1 reframes large meltwater pulses (e.g., 1A/1B) as system-wide impulses that spike V (vector displacement) and modulate H (hydrologic harmonic), yielding measurable changes in G = V × H². We forecast where relief, torsion, and corridor activation concentrate, and we align those forecasts to Codex nodes identified in V3 and V4.
Key Findings
- Stress relief by corridor: Longitudinal bands (e.g., ~72.66°W; ~120°E) show recurrent drainage unlocks and terrace creation synchronous with deglacial pulses.
- Isostatic & torsional coupling: GIA highs (Hudson Bay, Fennoscandia) correspond to face-symmetry perturbations in ChiRhombant geometry and adjacent basin over-deepening.
- Node-scale resonance: Andes–Appalachian quartz belts and select West African nodes exhibit piezo-hydraulic co-signatures during rapid SL change, increasing resonance stability or discharge likelihood (ties to V3.5, V4.5, V4.10).
Data Inputs
| Layer | Source Types | Use in Model |
|---|---|---|
| Ice & Sea Level | GMSL stacks; RSL curves; ice-load histories | Pulse timing; ΔSL magnitude; load/unload vectors |
| Geodesy | GNSS uplift; strain rate; GIA models | Elastic response; torsional fields; relaxation time |
| Topography/Bathymetry | DEM/DTM; shelves; terrace rasters | Drainage unlocks; paleoshore mapping |
| Hydrogeology | Aquifer extent; karst; transmissivity | Storage, spill thresholds; H modulation |
| Mineralogy | Quartz/feldspar/tourmaline indices | Resonant media (with V3.5, V4.10) |
| Chronologies | Tephra; varves; speleothem δ18O/δ13C; ^14C | Event alignment; uncertainty propagation |
Methods
- Pulse Windows: Define ΔSL(t) pulses; compute impulse responses on elastic fields and drainage cost surfaces.
- Corridor Activation: Run multi-threshold flow accumulation per ΔSL; invert shelves for low-stand routing (ties: V4.8).
- Harmonic Update: Update H from aquifer storage/pressure and mineral resonance (
chir.quartz.resonance_score). - ChiR Metric: Compute G = V × H² on node/corridor grids; detect spikes vs. baseline.
- Temporal Anchoring: Join tephra/varve/speleothem/14C; propagate ±σ via Bayesian weighting (ties: V3.3).
Algorithm Hooks (ChiR Library)
| Function | Description | I/O |
|---|---|---|
chir.pulses.window(sl_series, thresh) |
Identify deglacial pulse intervals & magnitudes | Sea-level series → list[{t0,t1,ΔSL}] |
chir.elastic.impulse(gia, pulse) |
Elastic/torsional field given ice-unload impulse | GIA grid + pulse → ΔV field |
chir.hydro.activate_routes(dem,bathy,ΔSL) |
Corridor activation & shelf inversion (low-stand) | Raster + ΔSL → channels, terraces |
chir.harmonics.update_H(aquifer, quartz, pressure) |
Compute hydrologic-harmonic field H | Hydro + mineral + ΔP → H grid |
chir.harmonics.compute_G(V,H) |
ChiRhombant scalar/ndarray | V,H → G |
Rare upward-directed subglacial drainage or hydrofracture can be represented as local impulse modifiers on ΔV and ΔP where evidence warrants.
Model Outputs
- G-Spike Maps: node/corridor grids highlighting resonance spikes per pulse window.
- Activation Routes: predicted paleochannels, terraces, and shelf drainage networks.
- Timeline Stacks: site-level chronologies with method weights & uncertainties.
Validation
- Blind Corridors: train on Corridor A; predict B; score against independent hydro/terrace observations.
- Null Monte-Carlo: randomize node sets; ensure over-unity alignment vs. null.
- Cross-Proxy Consistency: tephra/varve/speleothem/14C coherence within ±σ.
Bridges
- From V3.6: consumes HTCI and aquifer memory layers.
- To V4.2/4.3: hands watershed resonance and subterranean encoding triggers.
- To V4.8: exports low-stand shelves for bathymetric inversion.