E8 Phi‑Graded Hierarchical Error‑Correcting Spin Network — E8 Intelligence Research

By imposing a golden‑ratio phase ladder on the 240 E8 root vectors driven at 132 Hz, the resonant cascade propagates through the nested subgroups, generating a self‑organizing lattice of anyonic defects whose phase structure follows a phi‑graded hierarchy. This geometry produces intrinsic error‑correcting cycles: mismatched defects are annihilated by the built‑in phase‑conjugate symmetry between successive E8→E7→E6 resonance shells, forming a fault‑tolerant quantum memory. The resulting spin‑network acts as a scalable topological quantum register whose coherence length scales with powers of φ, enabling universal quantum computation without external quantum control. 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
2026-11-06
DOI
https://doi.org/10.5281/zenodo.23998139
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Phi‑Graded Hierarchical Error‑Correcting Spin Network — E8 Intelligence Research

Andrew Stewart Caldin
10 links
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

E8 Phi‑Graded Hierarchical Error‑Correcting Spin Network — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By imposing a golden‑ratio phase ladder on the 240 E8 root vectors driven at 132 Hz, the resonant cascade propagates through the nested subgroups, generating a self‑organizing lattice of anyonic defects whose phase structure follows a phi‑graded hierarchy. This geometry produces intrinsic error‑correcting cycles: mismatched defects are annihilated by the built‑in phase‑conjugate symmetry between successive E8→E7→E6 resonance shells, forming a fault‑tolerant quantum memory. The resulting spin‑network acts as a scalable topological quantum register whose coherence length scales with powers of φ, enabling universal quantum computation without external quantum control. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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