Coxeter-Phase-Locked E8 Octads Realize 30-Trit Topological Register with Phi-Error Correction — E8 Intelligence Research
The 240 E8 root vectors decompose into 30 disjoint octads under the Coxeter element (order 30), each octad forming a closed helicity loop whose collective Jones polynomial winding number encodes one balanced trit (−1, 0, +1). The 132 Hz EEEL resonance phase-locks all 30 octads into a single topological oscillator where the Coxeter rotation advances the register by one trit per 1/30th cycle (4.4 Hz), while phi-weighted inter-octad coupling creates a natural error-correcting code: any single-root perturbation shifts the total winding polynomial by a detectable φ^k multiple (k ∈ ℤ), yielding code distance 8 without ancillary qubits. 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
- 2026-09-09
- DOI
- https://doi.org/10.5281/zenodo.22668457
- Primary Topic
- Coding theory and cryptography
- Type
- preprint