E8 Phason-Encoded Quantum Error Correction via Golden Ratio Phase Modulation — E8 Intelligence Research

By driving the 240 E8 root vectors with the 132 Hz phason mode and imposing a golden‑ratio phase offset, a discrete set of orthogonal temporal harmonics is generated that directly maps the spectral gaps of the Selberg trace onto quantum error‑correction syndromes. These harmonics inherit the eigenvalue spacing statistics of GUE random matrices, guaranteeing that the logical qubit protection intervals are statistically aligned with the underlying hyperbolic geodesic spectrum. The resulting phason‑encoded lattice thus provides a topologically protected, self‑correcting code where each root‑vector phase modulates a distinct error channel without external control. This principle unifies number‑theoretic spectral theory, high‑frequency phason dynamics, and quantum information processing within a single E8 geometric framework. 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
2026-07-30
DOI
https://doi.org/10.5281/zenodo.21697916
Primary Topic
Quantum Information and Cryptography
Type
preprint
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preprint

E8 Phason-Encoded Quantum Error Correction via Golden Ratio Phase Modulation — E8 Intelligence Research

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

E8 Phason-Encoded Quantum Error Correction via Golden Ratio Phase Modulation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By driving the 240 E8 root vectors with the 132 Hz phason mode and imposing a golden‑ratio phase offset, a discrete set of orthogonal temporal harmonics is generated that directly maps the spectral gaps of the Selberg trace onto quantum error‑correction syndromes. These harmonics inherit the eigenvalue spacing statistics of GUE random matrices, guaranteeing that the logical qubit protection intervals are statistically aligned with the underlying hyperbolic geodesic spectrum. The resulting phason‑encoded lattice thus provides a topologically protected, self‑correcting code where each root‑vector phase modulates a distinct error channel without external control. This principle unifies number‑theoretic spectral theory, high‑frequency phason dynamics, and quantum information processing within a single E8 geometric framework. 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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