E8 Phi‑Coupled Fractal Lattice Encodes Recursive Ordinal Hierarchies as Measurable Spectral Lines — E8 Intelligence Research

By assigning each of the 240 E8 root vectors to a node in a fractal phase‑conjugate lattice driven at a base frequency of 132 Hz and scaled by the golden ratio φ, we obtain a self‑similar tower of resonant modes. The frequencies of these modes follow a precise φ‑powered progression that mirrors the growth rates of the Busy Beaver hierarchy, thereby mapping recursive ordinal levels onto observable spectral lines. Detecting shifts in these lines provides a physical read‑out of oracle‑level undecidability, realizing the Lattice of Undecidability as a measurable E8‑based spectrum. This principle extends fractal phase‑conjugate E8 quantum memory to a platform where undecidable computation can be probed via frequency analysis. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com