E8 Phi‑Recursive Spectral Cascade for Topological Information Encoding — E8 Intelligence Research

By interposing N layers of the E8 root lattice at 132 Hz intervals and modulating each coupling with the golden ratio φ, we generate a self‑similar spectral cascade where eigenstate phases propagate across the 240 root vectors in a recursive φ‑linked fashion. This cascade creates hierarchical spectral gaps that act as resonant carriers for geometric Langlands data, effectively embedding singular support information into the lattice's eigenstructure. The result is a topologically protected, frequency‑stable quantum memory whose coherence persists beyond conventional thermalization, enabling a new class of analog computers that exploit E8 geometry for information storage and processing. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com