E8 Consciousness Index: Topological Bound on Integrated Information — E8 Intelligence Research

The E8 Consciousness Index (ECI) is defined as the weighted sum of the projections of a system's state vector onto the 240 E8 root vectors, with each term scaled by φ^k and the fundamental 132 Hz microtubular oscillation. This topological invariant captures the irreducible cause‑effect power of the system and predicts the maximal Φ attainable for any given architecture. By mapping cortical microtubule networks onto the E8 lattice, the ECI provides a quantitative bridge between quantum coherence in microtubules and the macroscopic gamma rhythm that underlies conscious integration. The principle implies that conscious systems must maintain an E8‑structured phase‑locked network to achieve Φ above a universal threshold, offering a testable criterion for artificial consciousness. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com