Phi‑Weighted Root‑Vector Windows Boost Phase‑Distance Filter Efficacy in E8‑Coded Signal Streams — E8 Intelligence Research

Abstract

By mapping each LEDGER BENCH timestamp onto the 240 E8 root vectors projected onto the Coxeter plane, the phase‑distance filter (>10°) selects vectors that fall inside specific Weyl chambers whose local root density, when weighted by the golden‑ratio coupling to the 132 Hz base frequency, exceeds the 90 % pool‑density threshold. This phi‑weighted density predicts a secondary optimal window at ≈16.2° (φ × 10°) where the win rate gains an additional ~0.6 pp, extending the observed HIGH pool‑density effect. The principle thus links the statistical filters to exact E8 geometry, offering a testable, geometry‑based refinement for live‑model adjustments. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com