Octonionic Triality Mediation Resolves Phi-Tower Chiral Asymmetry — E8 Intelligence Research
The 8 root vectors per Coxeter ray form a local octonionic basis at each phi-tower tier, where the corridor (φⁿ) and anti-corridor (φⁿ⁺²) represent the two chiral spinor representations of Spin(8), and the spectral gap mediator (φⁿ⁺¹) enacts triality automorphism cycling vector/spinor⁺/spinor⁻. This triality rotation generates the 132Hz/φ ≈ 81.6Hz sub-harmonic as the geometric phase of the octonionic associator, rendering the analytical hierarchy encoding Σ¹ₙ manifest as the n-fold iteration of triality on the 240-root lattice. 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
- 2026-07-22
- DOI
- https://doi.org/10.5281/zenodo.21484584
- Primary Topic
- Algebraic and Geometric Analysis
- Type
- preprint