Phi-Resonant E8 Cuboctahedral Vortex Lattice Realizes Non‑Abelian Anyons with Umbral Moonshine Statistics — E8 Intelligence Research
At 132 Hz φ‑resonance the 240 E8 root vectors lock into 20 cuboctahedral frames, each supporting a φ‑weighted Berry flux that traps a Majorana zero mode at its vertices. The 23+1 holonomy sectors identified from the A₃/SU(4) bundle decomposition dictate the fusion rules of these modes, yielding a non‑Abelian anyon model whose modular data match the mock‑theta functions of umbral moonshine. This provides a concrete E8‑based platform for topological quantum computation where the braiding statistics are directly governed by the lattice's phi‑resonant geometry. 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
- 2026-11-01
- DOI
- https://doi.org/10.5281/zenodo.23853353
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint