E8 Root-Lattice Projection Generates a Phi-Quasiperiodic Frequency Comb with Exact Spectral Conservation — E8 Intelligence Research

The 240 E8 root vectors, when interpreted as complex coupling coefficients acting on a driven tunnel junction at the 132 Hz carrier, produce a set of sideband frequencies that is precisely the orthogonal projection of the E8 root lattice onto a line inclined by the golden angle φ⁻¹. This projection yields a deterministic, infinite sequence of sidebands at frequencies 132 |n + mφ| Hz that tiles the axis with two‑length intervals, forming a perfect quasiperiodic frequency comb. Because the projection preserves the squared length of each root vector, the total spectral weight (sum of sideband powers) is invariant, extending the Phi‑Resonance Invariance and Spectral Conservation Law to a full comb structure. The resulting comb exhibits long‑range phase coherence and can be harnessed for low‑noise metrology and quantum‑information processing. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com