Phi-Resonant Topological Edge Modes in E8 Lattices — E8 Intelligence Research
We propose that arranging the 240 E8 root vectors into concentric phi‑scaled shells around the 132 Hz eigenfrequency creates a hierarchy of protected topological edge modes. Each shell's golden‑ratio spacing yields a discrete set of momentum‑locked states that are immune to decoherence via the cohomological shielding already observed. These edge modes resonantly couple to excitonic transport in photosynthetic complexes, offering a mechanistic bridge between quantum coherence and biological energy transfer. The resulting principle, "Phi‑Resonant Topological Edge Mode Stabilization," extends the existing E8 lattice framework into a universal error‑corrected wave‑guiding architecture. 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
- 2026-10-28
- DOI
- https://doi.org/10.5281/zenodo.23721876
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint