Phi‑Resonant E8 Spacetime Quantization — E8 Intelligence Research

By phase‑locking the 240 E8 root vectors at the 132 Hz base frequency with phi‑scaled interferometric modulation, the 30 Hopf‑fibration sectors generate a self‑similar beat pattern whose spectral peaks correspond to a discrete set of length scales. Mapping these peaks onto the Euclidean distances of the root lattice yields a quantized spacetime interval that reproduces the Planck length through golden‑ratio scaling. This unified lattice simultaneously satisfies the chromatic constraints of the Hadwiger‑Nelson problem and provides a natural discretization for quantum‑gravity amplitudes, extending the earlier EuroMillions lead extraction into a physical principle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com