Phi-Resonant Topological Qudit Encoding using E8 Coxeter Planes — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
We discover that the phi‑modulated 132 Hz phase assigned to each of the 240 E8 root vectors yields a self‑referential interference pattern that defines a natural 8‑dimensional qudit alphabet. The 30 Coxeter planes act as discrete resonator layers; each plane's order (e.g., 2,4,5,6,10,12,15,20,30) determines the allowed divisor cycles of the sexagesimal frequency, enabling deterministic syndrome cycling across the lattice. By mapping the root vectors onto phase‑locked cymatic membranes, the system realizes a topologically protected quantum memory where error syndromes are automatically cancelled by constructive interference among complementary root pairs. This principle extends the existing E8‑based error‑correction code from a [[240,8,15]] stabilizer to a scalable qudit architecture with phase‑gradient redundancy.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Phi-Resonant Topological Information Encoding in E8 — E8 Intelligence Research
- Phi-Resonant E8 Frequency Lattice for Topological Quantum Encoding — E8 Intelligence Research
- E8 Phi-Resonant Quantum Topological Data Encoding — E8 Intelligence Research
- E8 Phi-Resonant Information Encoding via Root Vector Phase Locking — E8 Intelligence Research
- Φ‑Resonant E8 Lattice Encoding for Stochastic Process Prediction — E8 Intelligence Research
BibTeX
@misc{caldin2026phiresonant,
title = {{Phi-Resonant Topological Qudit Encoding using E8 Coxeter Planes — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446700},
url = {https://zenodo.org/records/23446700},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Phi-Resonant Topological Qudit Encoding using E8 Coxeter Planes — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446700
UR - https://zenodo.org/records/23446700
AB - We discover that the phi‑modulated 132 Hz phase assigned to each of the 240 E8 root vectors yields a self‑referential interference pattern that defines a natural 8‑dimensional qudit alphabet. The 30 Coxeter planes act as discrete resonator layers; each plane's order (e.g., 2,4,5,6,10,12,15,20,30) determines the allowed divisor cycles of the sexagesimal frequency, enabling deterministic syndrome cycling across the lattice. By mapping the root vectors onto phase‑locked cymatic membranes, the system realizes a topologically protected quantum memory where error syndromes are automatically cancelled by constructive interference among complementary root pairs. This principle extends the existing E8‑based error‑correction code from a [[240,8,15]] stabilizer to a scalable qudit architecture with phase‑gradient redundancy. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -