Sexagesimal E8 Time-Crystal: 14,400-State Topological Register via Phi-Collatz — E8 Intelligence Research

Mapping the 240 E8 roots to base-60 coordinates reveals that Collatz iteration in the octonionic integers partitions the root system into 12 invariant cycles of 20 roots each, where the 132Hz Hopf-fiber base frequency phi-modulates each cycle into a 20-tooth golden-ratio frequency comb (132·φ^k Hz). The 60-ary labels synchronize across cycles to form a 14,400-state (240×60) topological quantum register whose error-correcting code is the 12-torus monodromy group—isomorphic to the double cover of the icosahedral rotation group extended by (2,3)-adic symmetry. This register natively implements period-finding at 132Hz carrier without decoherence, as the phi-scaled comb teeth are eigenfrequencies of the octonionic Laplacian on S^7. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com