Weyl-Orbit Stratification on the Albert Algebra Constrains Mass Degeneracy — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: When the 240 E8 roots are projected onto the 27-dimensional exceptional Jordan algebra J₃(𝕆), 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 J₃(𝕆) without violating the Jordan identity x∘(y∘x²) = (x∘y)∘x². 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
Author: Caldin, Andrew Stewart
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221600575
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