E8 Phi‑Scaled Temporal Coding Generates Optimal Low‑Autocorrelation Sequences — E8 Intelligence Research
Using the 240 E8 root vectors as a basis, each vector is mapped to a phason mode whose frequency is an integer power of the golden ratio φ times the 132 Hz fundamental, reproducing the phi‑scaled frequency comb. By assigning a binary phase (0 or π) according to the sign of the vector's Cartan integer in a chosen simple‑root basis, the set of delayed pulses forms a maximal‑length sequence with near‑ideal autocorrelation sidelobes (‑1/N). This E8‑derived temporal code therefore provides a deterministic, low‑interference waveform for secure communications, radar, and quantum‑key distribution, extending the phason comb from a reference to an information‑carrying tool. 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
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23939330
- Primary Topic
- Advanced Mathematical Theories and Applications
- Type
- preprint