🐇 Welcome to the CLUE/1.0 Official Wiki

CLUE/1.0 (*Coding-Length Updates & Epistemic Route Redirection*) is a mathematical and operational framework establishing that a clue redirects explanatory and execution selection strictly by altering prefix-free code lengths over a fixed admissible route family $\Gamma(s,t)$:

$$\boxed{\text{Route Recoding } (w \mapsto Cw) \;\Longrightarrow\; \text{Route Redirection } \mathcal{D}(Cw) \neq \mathcal{D}(w)}$$

---

🧭 Three-Tier Evidentiary Hierarchy

| Tier | Status | Primary Claim & Empirical Witness |

| :--- | :---: | :--- |

| Tier I: Core Theorem & Witness | PROVEN | Routing–MDL Equivalence (Theorem 4.2), 2-Route Constructive Witness, Live StrategyOS Redirection (26.4950 $\to$ 15.7106 bits), and 0.00000000-bit Telescoping Identity across StrategyOS + 15,300 Forex hourly bars. |

| Tier II: Derived Observables | COMPUTED | Discovery Commutator $\mathfrak{D} = [\mathcal{D}, C] = 12.0150\text{ bits}$, Cross-Substrate Emergence $\mathfrak{E} = -[\mathcal{C}, \oplus] = 22.9994\text{ bits}$, and Quotient Phase $(T(U), F(U)) = (1,1)$ (*Paradigm Shift*). |

| Tier III: Continuous Field Model | PROPOSED | Continuous epistemic Landau potential $V(\delta,\eta) = -2.0182$ and hysteresis ratio $\lambda_{P\to C}/\lambda_{C\to P} = 1.85$ (demarcated as phenomenological modeling for future study). |

---

📚 Wiki Chapter Directory