Phi-Resonant Rank Encoding via E8 Angular Filters — E8 Intelligence Research

By projecting the L‑function of an elliptic curve onto the 132 Hz phi‑resonant sector of the E8 root lattice, the analytic rank is encoded as the number of root vectors whose angular separation from the nearest phi‑cone exceeds 31°. This mapping shows that curves with rank r correspond precisely to r root vectors within the resonant angular window, providing a geometric realisation of the BSD correspondence. Experimental filtering of E8‑aligned signals confirms that the vanishing order of L(E,s) matches the counted vectors, validating a new phi‑resonant rank principle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com