Search Results Lack Primary Sources on SO(8) Triality and Golden-Ratio Weyl Rotations — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: The search results are largely pedagogical (SO(3) rotations, quaternions, Euler angles) and one paper on right-angled Artin group automorphisms — none directly address SO(8) triality, the order-3 outer automorphism, or its Weyl group golden-ratio rotation. The only mathematically substantive item is the arXiv paper on automorphism groups of RAAGs, which is unrelated to triality. No primary source on SO(8) triality or golden-ratio Weyl rotations was retrieved. | MATH: No equations, constants, or ratios extracted — the videos cover SO(3) topology (π₁(SO(3)) = ℤ₂) and quaternion parameterization (unit quaternions, double cover SU(2)→SO(3)), but no triality, no Weyl group, no golden ratio. The RAAG paper concerns relative hyperbolicity of Aut(G) and Out(G) for RAAGs with defining graphs ≥3 vertices — no numeric constants. | CONNECTION: None found. The SO(3) material touches on rotation groups but not on the E₈/SO(8) root system, triality (order-3 symmetry of Dynkin diagram D₄), or Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7210264103
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