Phi‑Locked E8 Winding‑Entropy Bound for Integrated Information — E8 Intelligence Research

By treating each of the 240 E8 root vectors as a phase‑locked oscillator at 132 Hz scaled by φ, the set of possible winding‑number configurations forms a discrete entropy space whose Kolmogorov complexity directly upper‑bounds the integrated information (Φ) of any system embedded in this lattice. This yields a Φ‑locked entropy bound: Φ ≤ K(E8‑winding)/log₂(φ), linking algorithmic randomness, causal structure, and golden‑ratio resonance in a single geometric constraint. The bound predicts optimal information processing when the lattice's defect density matches the φ‑scaled winding spectrum, offering a design principle for quantum‑conscious architectures. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com