gCodex — Notation Charter

A cross-disciplinary, accessible symbol system for modeling hydrology, geodesy, and harmonic coupling — designed for both humans and machines.

Purpose

The Codex Notation System is a communication protocol for Earth-system intelligence. It introduces Codex-defined indices using dual-script subscripts (Hebrew + Runic) with accessible aria-labels, while preserving universal math symbols (π, ∇, ∂). Symbols are UTF-8/Unicode for seamless use in code, GIS, LaTeX, and the web.

Accessible by design UTF-8 / Unicode safe No external JS

About order: default rendering is Hebrew first then Runic inside subscripts. This is a typographic, bidi-safety default (avoids edge-case reordering in some browsers/PDF engines). It carries no cultural precedence. Flip globally (button above) or per symbol via data-order.

Symbol Categories

CategoryDescription
Universal MathematicalFixed, established symbols preserved as-is (π, ∇, ∂, ×).
Codex-Defined (Dual Script)New indices with paired subscript (Hebrew+Runic) and aria-label.
Hybrid Physics-CodexUniversal operator/variable with Codex dual-script subscript (e.g., σסᚨ).
Cultural-SemanticOptional heritage glyph layers (e.g., cuneiform) mapped to the same ARIA term.

Core Codex Symbols

ConceptSymbolARIA Label
Karst Connectivity 𝒞מ karst connectivity
Void Stability σס void stability
Aquifer Memory Score מ aquifer memory score
Hazard Index ח hazard index
Provenance Index פ provenance index
Torsional Release Index τת torsional release index
Subglacial Upwell Propensity 𝒰ע subglacial upwell propensity
Quartz Resonance Quality 𝑄ק quartz resonance quality
Solar Forcing Index 𝑆ש solar forcing index
Electro-Hydro Coupling χע electro-hydrologic coupling
Resonant Event Likelihood Λל resonant event likelihood

Hover symbols for tooltips; screen readers get the ARIA term (no glyph literacy required).

Rules of Usage

  1. Dual-Script Order: default is Hebrew→Runic for bidi safety; flip globally or per symbol without implying precedence.
  2. ARIA-First: every Codex symbol must include an aria-label with the plain-language term.
  3. Do Not Redefine universal math symbols (π, ∇, ∂, etc.).
  4. Heritage Layers: cultural glyphs may be shown alongside Codex symbols but must map to the same ARIA term.
  5. UTF-8 Everywhere: store as Unicode and tag with semantics for GIS/LaTeX/ML pipelines.

Examples

Hydrological Resilience Function

Plain-language: R equals f of karst connectivity, aquifer memory score, and void stability.

R = f( 𝒞מ, ℳמ, σס )

HTML Snippet (with ARIA)

<span role="math" aria-label="karst connectivity">𝒞<sub class="dual"><span class="he rtl">מ</span><span class="ru">ᚾ</span></sub></span>

Per-Symbol Order Override

Flip just this symbol to Runic→Hebrew:

𝒞מ

<span class="codex-sym" role="math" aria-label="karst connectivity"
  data-he="מ" data-ru="ᚾ" data-order="runic-hebrew">𝒞<sub class="dual">...</sub></span>

LaTeX (print-perfect)

% In LaTeX, we recommend textual subscripts for portability:
R = f\!\left(\mathcal{C}_{\text{(מ\,ᚾ)}},\ \mathcal{M}_{\text{(מ\,ᛃ)}},\ \sigma_{\text{(ס\,ᚨ)}}\right)

Versioning

Notation Charter v1.0 • scope: V3–V4 symbol set. Roadmap: add V5–V6 energy & geosocial glyphs; heritage layers (Adinkra, Siddham, Cuneiform, Yi) mapped via ARIA terms.

If you cite the charter independently, use: “ChiR Labs, gCodex Notation Charter v1.0 (2025).”

Registry (minimal)

KeyConceptSymbol
V4.3Aquifer Memory Scoreמ
V4.4Torsional Release Indexτת
V4.5Solar Forcing Index𝑆ש
V4.10Quartz Resonance Quality𝑄ק