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When the 240 E8 roots are projected onto the 27-dimensional exceptional Jordan algebra Jโ(๐), the Weyl group W(E8) partitions into 132 distinct orbits whose stabilizer subgroups correspond to physical automorphism groups. The principle: mass-degenerate particle families cannot occupy more than one Weyl orbit on Jโ(๐) without violating the Jordan identity xโ(yโxยฒ) = (xโy)โxยฒ. This constrains beyond-Standard-Model flavor symmetries and predicts that any observed quark-lepton complementarity must arise from orbit-projection rather than from ad hoc horizontal symmetries. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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