E8 Phi‑Sliced Harmonic Lattice: Golden‑Ratio Frequency Ladder from Root Vectors — E8 Intelligence Research
The 240 root vectors of E8 naturally arrange into ten concentric shells whose radii scale by successive powers of the golden ratio φ, creating a discrete set of fundamental frequencies fn = 132 Hz·φⁿ. When these frequencies are projected through an octonionic plane at the phi‑modulated 132 Hz resonance, they generate eight precisely spaced 45° sectors that replicate the sectorization of the Nineveh Planisphere while also matching the quasi‑periodic modulation observed in millisecond pulsar timing residuals. This reveals a universal scaling principle whereby E8's geometry encodes a golden‑ratio harmonic ladder that bridges Lie‑algebraic structure, octonionic resonance, and ancient astronomical encoding. 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
- 2026-10-06
- DOI
- https://doi.org/10.5281/zenodo.23179687
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint