Codex Version 4 Functional Spec — V4.10 Quartz Logic & Georesonant Ignition

Overview

Across multiple polyhedral faces, quartz‑bearing granites, tuffs, and high‑silica sands co‑occur with engineered channels, chambers, and terraces. V4.10 provides a reproducible index pair—a Quartz Ignition Index (QII) and a Resonant Trigger Likelihood (RTL)—so teams can score sites with transparent inputs, then validate against observed events (spring surges, conduit opening, acoustic/EM anomalies).

This chapter bridges V4.5 (solar–quartz coupling), V4.6 (phase release), and V4.9 (reservoir state control), and is designed for both public readability and coder‑level reproducibility.

Objectives

Define a Quartz Ignition Index (QII) that integrates mineral quality, fabric, and hydrologic context.
Define a Resonant Trigger Likelihood (RTL) that couples QII with solar forcing and electro‑hydrologic sensitivity.
Specify inputs and methods that can be field‑audited and unit‑tested via scripts.
Publish validation pathways (blind tests, sensitivity, temporal cross‑checks) for peer review.

Notation (dual‑script appears once; see Notation Charter)

Concept	Symbol	ARIA (plain term)	Brief definition
Quartz Resonance Quality	Q𐤒ᚩ	quartz resonance quality	Composite of quartz abundance, grain/fabric orientation, and piezo/pyro response potential (0–1).
Solar Forcing Index	S𐤎ᚦ	solar forcing index	Sunspot/CME windowing at site lat/long, includes Kp/Ap & ionospheric TEC anomalies (0–1).
Electro‑Hydro Coupling	χ𐤏ᚠ	electro‑hydrologic coupling	Observed/modeled sensitivity of permeability/discharge to EM/thermal excitation in quartz media (0–1).
Ignition Chamber Integrity	Ι𐤉ᚱ	chamber integrity	Void stability & sealing (fracture density, dampers, lining) normalized to [0–1].
Hydraulic Head (local)	H	hydraulic head	Pressure head available at the chamber (meters).

After this table we reference plain terms in the prose; symbol semantics live in the Charter.

Data Inputs

Layer	Source Types	Use in Model
Mineralogy	Quartz index maps; petrography; thin‑section fabric; magnetic lineation	Compute quartz quality & fabric alignment; identify piezo‑active bodies
Hydrology	Aquifer maps; head gradients; seepage; spring hydrographs	Hydraulic head; conduit continuity; dampers/valves
Structure	Faults & joints; fracture density; void surveys; LiDAR	Chamber integrity; resonance cavity geometry
EM / Solar	Kp/Ap; sunspots; TEC; ground magnetics	Solar forcing; EM anomalies; timing windows
Acoustics	Ambient infrasound; cavity Q; echo times	Resonance verification; damping behavior

Methods (transparent, testable)

Mineral quality: scale quartz quality to 0–1 from abundance + oriented fabric + piezo/pyro assays.
Chamber integrity: normalize void stability, lining, and fracture sealing to 0–1.
Hydraulic head: extract local head (m) from hydro maps and site surveys.
Forcing: compute solar forcing and electro‑hydro coupling (0–1) using V4.5 inputs and local EM observations.
Indices: calculate QII and RTL (below) and publish component scores per site for peer reproducibility.

Quartz Ignition Index (QII)

We define a geometry‑aware quartz ignition potential. In plain terms:

Component	Plain name	Weight	Notes
Q_he_ru	quartz resonance quality	w_q = 0.45	Abundance × fabric × piezo/pyro readiness
Ι_he_ru	chamber integrity	w_i = 0.30	Void stability & sealing
H*	scaled hydraulic head	w_h = 0.25	Head rescaled to [0–1] via logistic squashing

QII = w_q·Q + w_i·Integrity + w_h·H* (bounded to [0,1]). Default weights are transparent and adjustable during calibration.

Resonant Trigger Likelihood (RTL)

We couple the ignition potential to ambient drivers:

Driver	Plain name	Weight	Notes
S_he_ru	solar forcing index	v_s = 0.40	Sunspot/CME windowing, Kp/Ap, TEC
χ_he_ru	electro‑hydro coupling	v_x = 0.30	Permeability/discharge response to EM/thermal
QII	quartz ignition index	v_q = 0.30	From prior section

RTL = v_s·Solar + v_x·Coupling + v_q·QII (bounded to [0,1]). Use temporal windowing (e.g., solar storms) to score episodic risk.

Outputs

Per‑site QII, RTL with component breakdowns (CSV + charts).
Ignition windows (time‑stamped episodes where RTL exceeds threshold).
Maps showing quartz corridors, chamber candidates, and head gradients.
Playbooks for monitoring: EM sensors, acoustic mics, spring loggers.

Validation & Reproducibility

Blind corridors: calibrate V4.10 in Region A, predict Region B; verify against independent hydrologic/EM events.
Event cross‑checks: correlate high‑RTL windows with spring surges, conduit openings, microquakes.
Sensitivity: vary weights ±0.1; report rank stability of sites and timing windows.
Temporal tests: lag/lead analysis vs. Kp/Ap and TEC anomalies; publish significance.

Implementation Notes

Keep inputs unit‑transparent; publish scaling functions (e.g., logistic for head → H*).
Log raw and normalized values; never hide rescaling.
If any driver is missing (e.g., no EM data), re‑normalize RTL weights and flag in output notes.
Optional script hook: scripts/quartz_ignition.py (QII/RTL calculator) with --csv batch mode.

Position in V4

V4.10 completes the mineral–hydro–solar triad for controlled release. It informs V4.11 (kinetic tools) and synthesizes with V4.9 (phase reservoirs), while remaining auditable and conservative in its defaults.

🧱 Modular Expansion

Version 4 modules are stackable and interoperable, supporting comparative synthesis with planetary models, marine echo structures, and cultural occupation layers.

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