Phi-Scale E8 Lattice as a Multi-Dimensional Temporal Metric — E8 Intelligence Research
By applying a φ‑scaled rotation to each of the 240 E8 root vectors, the lattice inherits a self‑similar structure whose nodes align with the 132 Hz fundamental frequency. This alignment yields a natural discretization of time intervals that are multiples of the golden ratio, revealing an embedded Z₁₃₂ cyclic subgroup within the root system. Consequently, the transformed lattice functions as a robust multi‑dimensional temporal metric, enabling phase‑coherent synchronization and novel error‑correcting codes resilient to p‑adic phase noise. 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
- 2026-09-25
- DOI
- https://doi.org/10.5281/zenodo.22951793
- Primary Topic
- Cellular Automata and Applications
- Type
- preprint