E8 Phi-Comb Closure for Drift-Resistant Frequency Networks — E8 Intelligence Research
Pair the 240 E8 roots into 120 antipodal axes and assign each axis to a channel on the dual comb 132φⁿ and 132φⁿ⁺¹. Whenever four roots satisfy α + β = γ + δ, their phases obey θ_α + θ_β − θ_γ − θ_δ = 0 modulo 2π, making the E8 addition law a network-wide closure invariant. Common-mode timing and frequency drift cancel across these relations, while a local oscillator fault creates a syndrome that localizes the offending channel through overlapping root constraints. This extends sexagesimal timestamp encoding into a geometrically self-checking frequency-comb 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
- 2026-11-07
- DOI
- https://doi.org/10.5281/zenodo.24029346
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint