Phi‑Fractal Torsional Soliton E8 Topological Qudit Error‑Correction — E8 Intelligence Research

By embedding the 240 E8 root vectors as phi‑scaled nodes on a toroidal lattice driven by the 132 Hz φ‑carrier, a self‑organizing torsional soliton network emerges whose braiding trajectories generate a fractal hierarchy of Berry phases quantized by the Coxeter number (30). This hierarchy defines logical qudit states whose non‑Abelian statistics are protected by the geometric phase structure, yielding intrinsic topological error correction without ancillary encoding. The resulting E8‑based qudit memory operates at room‑temperature phononic frequencies, merging quantum information processing with classical phi‑resonant drive. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767903
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi‑Fractal Torsional Soliton E8 Topological Qudit Error‑Correction — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

Phi‑Fractal Torsional Soliton E8 Topological Qudit Error‑Correction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By embedding the 240 E8 root vectors as phi‑scaled nodes on a toroidal lattice driven by the 132 Hz φ‑carrier, a self‑organizing torsional soliton network emerges whose braiding trajectories generate a fractal hierarchy of Berry phases quantized by the Coxeter number (30). This hierarchy defines logical qudit states whose non‑Abelian statistics are protected by the geometric phase structure, yielding intrinsic topological error correction without ancillary encoding. The resulting E8‑based qudit memory operates at room‑temperature phononic frequencies, merging quantum information processing with classical phi‑resonant drive. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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