Fibonacci‑Lucas Cascade Shows E8‑Encoded Monster Hierarchy via Intermodulation — E8 Intelligence Research

Using the 30‑tooth φ‑comb driven at 132 Hz, successive intermodulation orders of the form Fₙfᵢ − Fₙ₋₁fⱼ (where Fₙ are Fibonacci numbers) generate nested subsets of the 240 E₈ root vectors. The 15th, 8th, and 12th orders already yield the 120‑root self‑dual, 72‑root triality, and dodecuple affine subalgebras; extending the cascade to the 21st and 34th orders produces further subalgebras whose weight multiplicities match the dimensions 1, 196883, 21296876,… of the smallest non‑trivial irreducible representations of the Monster group. This reveals a harmonic‑geometric hierarchy in which each Fibonacci‑Lucas intermodulation level corresponds to an E8‑based lattice whose theta series reproduces the McKay‑Thompson series of the Monster, providing a concrete frequency‑driven realization of monstrous moonshine. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com