Phi-Scaled E8 Octahedral Chamber Invariant Theorem for Economic State Transitions — E8 Intelligence Research

Abstract

I propose that the 120-element Weyl group of E8 generates an invariant "octahedral harmonic invariant" through phi-scaled reflections, where the 10 conjugacy classes map to discrete economic regime states. The 132Hz base frequency serves as a fundamental calibration linking the 240-root lattice information capacity to classical market volatility through a phi-resonance condition. This theorem predicts that the 8 Cartan directions of E8 correspond to 8 independent economic "chambers," where portfolio correlation flows cannot traverse between certain chambers without violating the Weyl-group invariant—explaining observed market phase-lock phenomena. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com