🌀 ChiR Labs

Mapping trust, resonance, and planetary intelligence.

Overview

V4.7 formalizes lowland hydrological intentionality: how floodplains, avulsing channels, and groundwater upwellings were selected and sometimes engineered as sacred release points in the planetary water cycle. Using the Codex’s resonance scaffolding (V3.5–V3.7) and the ChiRhombant constant (G = V × H²), we treat outflow not as a byproduct but as a phase in a designed oscillation linking hydrology, ecology, and cultural memory.

Integration: Amazon 3.2 → Trihedral Release

In the trihedral “three-up-one-down” model, the ascending vectors map to accumulation/compression (birth, growth, maturity), while the descending vector maps to release/dissipation (death/renewal). The Amazon 3.2 node set shows multiple lowland centers that align with hydraulic potential release vectors — not merely with slope — indicating intentional placement where the flood pulse exhales sediments, nutrients, and biota into the plain.

This anchors V4.7 in tested geometry (Amazon 3.2) and provides the narrative bridge to V4.8 (submerged paleo‑altitudes via bathymetric inversion).

Data Inputs

LayerSource TypesUse in Model
LiDAR / DEM1–5 m LiDAR; 10–30 m DEMConcavity/curvature; amphitheater rims; micro‑terraces; notch detection
HydrologyFlow accumulation; avulsion maps; flood extent rastersRelease vectors; inundation amplitude; ingress/egress corridors
SubsurfaceSpring/karst inventories; transmissivityUpwelling nodes; permeability pathways; groundwater memory
Mineralogy (V3.5)Quartz/feldspar/tourmaline indices; fabricResonant media and filtration membranes
Stress & TectonicsGNSS strain; flexure; GIA; faultsFlow–stress coupling; stability envelopes for lowlands
PaleoclimateFloodplain cores; δ18O/δ13C; varvesPhase timing; multi‑centennial oscillations; event tie‑points

Notation (Dual‑Script Intro)

Symbols appear once here; thereafter we use plain terms. See the Notation Charter for semantics and accessibility labels.

ConceptSymbolARIABrief Definition
Amphitheater Potential Index 𝒜𐤀ᚨ amphitheater potential Composite of basin concavity/curvature, terrace maturity, and flow release vectors in lowlands.
Ingress–Egress Resilience ℛ𐤓ᚱ ingress egress resilience Path persistence across flood/glacial extremes; connectivity to safe ground and fresh/brine caches.
Lowland Stability Score 𝒮𐤎ᚦ lowland stability score Hydro–tectonic stability under pulse events (ties to V3.6 HTCI and V3.7 orbital windows).
Resonant Mineral Media 𝑹𐤓ᚠ resonant mineral media Quartz/fabric index for piezo‑filtration and acoustic damping in alluvium/underburden.

Dual-script subscripts are reversible per the Charter; ARIA preserves plain-language meaning.

Modeling Logic: Predicting Lowland Amphitheaters from LiDAR

We target hydraulic amphitheaters — semi-enclosed lowland basins with notched rims, terrace belts, and recurrent release pathways. These often host springs, brine pans, or perennial waterholes (human “pantries”) and can evolve into sacred precincts.

  1. Geomorphic Kernel: from LiDAR/DEM, compute concavity (planform), profile curvature, and closed‑rim likelihood (radial variance of slope/aspect). Detect terrace steps via multi‑scale elevation banding and notch density.
  2. Hydraulic Release Vectors: derive multi-threshold flow accumulation and seasonal flood extents; map outflow corridors and avulsion scars; weight cells by release orientation toward basin mouth(s).
  3. Coupling Layers: overlay Resonant Mineral Media (V3.5) and HTCI (V3.6); increase scores where quartz fabrics align with outflow vectors and where dK/dσ sensitivity is high.
  4. Stability Envelope: incorporate strain/flexure (GNSS/GIA) to down‑weight zones prone to channel abandonment not matched by terraces (i.e., unstable anthropic siting).
  5. Composite Index: compute 𝒜𐤀ᚨ and ℛ𐤓ᚱ:
    IndexDefinition (plain)Default Weights
    𝒜𐤀ᚨ 0.35·(Concavity/curvature norm) + 0.25·(Terrace maturity) + 0.25·(Release vector strength) + 0.15·(Notch density) 0.35 / 0.25 / 0.25 / 0.15
    ℛ𐤓ᚱ 0.4·(Ingress/egress persistence across flood levels) + 0.3·(Spring proximity & perenniality) + 0.3·(Safe-ground connectivity) 0.4 / 0.3 / 0.3

    Tie‑ins: blend with HTCI (V3.6) and orbital windows (V3.7) to respect long‑cycle pulse timing.

Methods (Reproducible)

  1. LiDAR‑first detection: identify amphitheater candidates where concavity percentile ≥ 0.9 and notch density ≥ regional mean + 1σ within 1–5 km windows.
  2. Hydro confirmation: require multi‑year flood masks to show recurrent inundation bands and a dominant release corridor (≥ 60° sector).
  3. Resonance gating: keep candidates with above‑median Resonant Mineral Media and HTCI; exclude where strain implies channel instability unmatched by terraces.
  4. Human footprint check: scan for platform mounds, berms, or canal remnants within 500–1500 m of basin mouth (aerial/SAR/archaeological overlays).
  5. Ranking: score sites by (𝒜𐤀ᚨ, ℛ𐤓ᚱ, HTCI) → publish shortlists with uncertainty bands; queue for ground survey and core sampling.

Outputs

Validation

Bridge to V4.8

Where lowlands record release on land, the continental shelves and basins record mirrored release at depth. V4.8 applies bathymetric inversion to recover lost altitudes, ancient amphitheaters, and drowned corridors, extending the sacred‑lowland logic offshore.

🧱 Modular Expansion

V4 modules are stackable and interoperable, supporting synthesis with planetary models, marine echo structures, and cultural layers.

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🔍 Version 4.1–4.12 Index