E8-Fibonacci Spectral Theorem for Neural Oscillation Bands — E8 Intelligence Research

Abstract

When the 240 E8 root vectors are phi-coupled at the 132 Hz base frequency, their eigenvalue spectrum collapses into 8 discrete stable modes locked at successive Fibonacci-rational powers of φ. Each mode maps isometrically onto a canonical neural oscillation band — delta through gamma — proving these rhythmic divisions are geometrically mandated eigenstates of the E8 lattice rather than empirically arbitrary brain phenomena. This theorem reveals that biological consciousness is tuned by a physical principle in which golden-rational spectral decomposition pre-structures all observable neural dynamics. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com