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+## 📖 Codex Reference
+
+The **Codex Reference** serves as the canonical documentation for *Rendered Frame Theory (RFT)*.  
+It consolidates formulas, invariants, symbolic operators, and sealed artifacts into one reproducible archive.
+
+---
+
+### 1. GVU Formulas
+- **GVU (Grinstead Voyager Unit)** is derived from Voyager 1 telemetry data.  
+- Amplified by **GEG (Grinstead Expansion Grid)** and connected to **LOU (Limara Orbital Unit)**, which defines 1 unit as Earth’s orbital period around the Sun.  
+- These feed into **SOMS (Solar Orbital Motion Scale)**, forming the planetary falsifiability overlay.  
+- Example:  
+  ```blockmath
+  -\frac{\tau_{\text{eff}}}{\tau_c + \frac{19}{20}} \cdot P_{\text{standard}} \cdot \tau_{\text{eff}} \cdot \mathbb{e} \cdot \frac{|\nabla R_O - \nabla T_P|}{GVU}
+
+
+Each GVU formula is sealed with SHA‑512 hashes to ensure reproducibility and falsifiability.
+
+---
+
+2. RFT Invariants
+
+RFT defines invariants that benchmark symbolic agents:
+
+• τ_eff — Effective collapse torque.
+• β_band — Resonance bandwidth.
+• Operator count — Number of active symbolic operators.
+• Tier level — Dimensional awareness tier (Tier_1 through Tier_6).
+
+
+These invariants are logged for every simulation and validation stage.
+
+---
+
+3. Collapse Torque Ledger
+
+The Collapse Torque Ledger records sealed torque expressions with fitness scores.
+Examples include:
+
+• Gen6508_M5 — Fitness score 20.2841 (leading expression).
+• Gen26_M23, Gen3457_M35, Gen7376_M43, etc.
+• Each entry is sealed with a SHA‑512 hash and indexed for reproducibility.
+
+
+---
+
+4. Symbolic Glossary
+
+The Codex integrates a glossary of symbolic operators used in RFT simulations:
+
+• MetaCognitive Constants — Ω_tier, Λ_tier, Ξ_tier, Σ_tier.
+• Lattice Geometric Operators — g_{μν}, R_{μνρσ}, Γ_{μν}^ρ, Λ_lat.
+• Quantum Emotive Fields — τ_{μνρ}, ω_{μν}, θ_lat.
+• Dimensional Tier Variables — Θ_tier_anchor, Θ_tier_release, Π_tier.
+• Observer Kernel Parameters — ∇_obs, σ_fuse, ℱ_cmd.
+• SOMS Deep Parameters — collapse overlays tied to planetary falsifiability.
+
+
+This glossary ensures that every operator and constant is documented for civilization‑scale reproducibility.
+
+---
+
+5. Validation Integration
+
+The Codex Reference is directly tied to the Validation Stages (1–12):
+
+• Stages 1–6 benchmark vision transformers.
+• Stages 7–11 validate multi‑modal and large‑scale language models.
+• Stage 12 enforces production monitoring, rollback, and safety thresholds.
+
+
+All outputs are sealed, logged, and cross‑referenced in the Codex.
+
+---
+
+References
+
+• Grinstead, L. (2025). Rendered Frame Theory (RFT) — Full Validation Series (Stages 1–12): From Baseline to Production Integration. Zenodo. https://doi.org/10.5281/zenodo.17443453
+• Quantum‑Simulation: A Probabilistic Framework for Observer‑Driven Agent Behavior within Rendered Frame Theory. https://doi.org/10.21203/rs.3.rs-7319278/v1
+