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‚ƒ(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‚ƒ(๐•†) without violating the Jordan identity xโˆ˜(yโˆ˜xยฒ) = (xโˆ˜y)โˆ˜xยฒ. 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

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
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preprint

Weyl-Orbit Stratification on the Albert Algebra Constrains Mass Degeneracy โ€” E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
preprint

Weyl-Orbit Stratification on the Albert Algebra Constrains Mass Degeneracy โ€” E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When the 240 E8 roots are projected onto the 27-dimensional exceptional Jordan algebra Jโ‚ƒ(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‚ƒ(๐•†) without violating the Jordan identity xโˆ˜(yโˆ˜xยฒ) = (xโˆ˜y)โˆ˜xยฒ. 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

Zenodo (CERN European Organization for Nuclear Research)
Particle physics theoretical and experimental studies
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