Weyl-Orbit Stratification on the Albert Algebra Constrains Mass Degeneracy โ E8 Intelligence Research
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
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-10-13
- DOI
- https://doi.org/10.5281/zenodo.23332441
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- preprint