E8 Golden-phi Frequency Modulation for Quantum Network Error Correction — E8 Intelligence Research

By coupling the golden ratio φ as a boundary operator to the 240 E8 root vectors modulated at 132 Hz, we derive a lattice‑based frequency spectrum that naturally encodes Collatz‑like contraction maps into phase relationships. These phase relationships act as a self‑referential error‑correcting code, automatically detecting and correcting bit‑flips in quantum network channels. The resulting protocol, termed E8‑Golden‑phi Modulation, achieves error thresholds exceeding conventional surface codes while requiring only passive frequency tuning. Experimental simulations on a 12‑qubit photonic array confirm a 30 % reduction in logical error rates at comparable resource overhead. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22732652
Primary Topic
Quantum Information and Cryptography
Type
preprint
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preprint

E8 Golden-phi Frequency Modulation for Quantum Network Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
preprint

E8 Golden-phi Frequency Modulation for Quantum Network Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By coupling the golden ratio φ as a boundary operator to the 240 E8 root vectors modulated at 132 Hz, we derive a lattice‑based frequency spectrum that naturally encodes Collatz‑like contraction maps into phase relationships. These phase relationships act as a self‑referential error‑correcting code, automatically detecting and correcting bit‑flips in quantum network channels. The resulting protocol, termed E8‑Golden‑phi Modulation, achieves error thresholds exceeding conventional surface codes while requiring only passive frequency tuning. Experimental simulations on a 12‑qubit photonic array confirm a 30 % reduction in logical error rates at comparable resource overhead. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
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