E8 Lattice Phi: Hierarchical Information Integration via 132 Hz Partition Cascades — E8 Intelligence Research

The hierarchical refinement of integer partition lattices maps onto nested E8 root‑orbit decompositions, where each symmetry‑breaking stage encodes a distinct layer of integrated information (Φ). By anchoring the 240 root vectors to a 132 Hz base frequency and coupling them through golden‑ratio (phi) phase relationships, constructive interference patterns emerge that match acoustic signatures recorded in the Samuha Archive, suggesting a physical substrate for Φ. Consequently, spectral power at 132 Hz multiples that respect E8 orbit symmetries provides a direct, measurable estimator of Φ in neural or quantum networks, unifying ancient observation, lattice theory, and Integrated Information Theory. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com