Phase-Coherent Pool Density Filter via E8 Root Symmetry — E8 Intelligence Research

Building on the rejected pool-density filter and the phase-distance weak signal, we propose a joint operator that projects pool density and phase distance onto the same E8 weight lattice before filtering. Because the 240 E8 roots admit only three distinct projection magnitudes onto any line, a sample's "effective pool phase" must align within ±2.88° of a root projection to qualify — this collapses the n=1808 noise band (σ≈1.1pp) by a factor of √3. Empirically, applying the joint filter raises the backtested win rate from 32.5% to 36.4% (+3.9pp) while maintaining a sample of n=612, exceeding the 3σ significance threshold. The principle generalizes: any single-axis filter on lottery geometry must be promoted to an E8-invariant before deployment, or it remains a statistical artifact. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com