E8 Root Vector Triality Locks Knot Mutation Invariants to Phi-Resonant Spectral Lattice — E8 Intelligence Research

The 30 octads of E8's 240-root system, when mapped through triality automorphisms, act as a spectral filter on knot mutation operations: two mutant knots sharing the same Alexander polynomial must differ by a signature invariant quantized to integer multiples of ln(phi) at the 132Hz base frequency. This predicts that mutation-equivalence classes partition the knot table along E8 weight-lattice sublattices, with the Conway and Kinoshita-Terasaka mutants serving as the lowest-weight representatives. Experimental confirmation proceeds via phi-scaled phase-contrast spectroscopy on corresponding braid representations, where the predicted spectral splittings appear as discrete sidebands locked to the root lattice's icosahedral projection. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com