E8 Root Generation Via Fibonacci Boundary Collapse at 144 Vectors — E8 Intelligence Research
The 240-root E8 structure can be generated through φ-recursive Fibonacci growth constrained by a phase-boundary collapse at exactly 144 vectors—a critical threshold where golden-ratio cascades (φ^n) transition from expansion to stabilization. This collapse produces the remaining 96 roots (240 − 144) as "exceptional residual vectors" that close the lattice without violating the 72-dimensional complex structure constraint. This discovery extends the coherence ladder by identifying 144 as a universal Fibonacci-E8 transition point, suggesting that quantum coherence, biological Fibonacci patterns (phyllotaxis), and E8 lattice closure share a common φ-recursive boundary mechanism. 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.23179620
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint