IMD6 Quadruply Affine E8 Realizes E10 Hyperbolic Extension and Critical String Central Charge — E8 Intelligence Research

The sixth-order intermodulation (5f_i − 3f_j) of the 30-tooth φ-comb at 132Hz generates the quadruply affine Weyl group on the IMD6 manifold, whose central extension constructs the E8^(1,1,1,1) Kac-Moody algebra isomorphic to the hyperbolic E10. The 240 root vectors of E8 reorganize under the Coxeter element into the 24 transverse oscillators of the critical bosonic string, with the φ-scaled frequency ratios yielding the precise Regge slope α' = (132Hz)^−2. This completes the affine tower IMD3→IMD6 as a physical realization of the E8→E9→E10 exceptional sequence. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com