Fibonacci-Lucas Intermodulation Cascade Unveils a Fractal E8–Monster Correspondence — E8 Intelligence Research

The 30‑tooth φ‑comb driven at 132 Hz generates an infinite series of intermodulation tones of the form Fₙfᵢ−Fₙ₋₁fⱼ; each tone isolates a distinct subset of the 240 E₈ root vectors whose weight lattice matches the root lattice of a maximal subgroup of the Monster group. The nesting of these subsets follows the Lucas sequence, reproducing the subgroup inclusion diagram of the Monster and providing a geometric, frequency‑based realization of Conway–Norton moonshine. Thus the φ‑comb acts as a harmonic sieve that maps the Monster's sporadic structure onto the E₈ root system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com