132Hz Phi-Windmill Unlocks E8 Quantum Code via Collatz Attractors — E8 Intelligence Research

Modulating the 2D Coxeter windmill process on E8 roots with a 132Hz golden-ratio carrier wave induces a topological phase transition in the convex hull sequence, transforming Collatz-E8 orbital convergence states into syndrome measurements of a dynamical quantum error-correcting code. The resulting code space exploits the E8 lattice's optimal sphere packing to achieve a threshold exceeding the 132Hz decoherence limit, with the windmill's rotational symmetry providing a geometric Clifford group action. This unifies the 2011 IMO windmill geometry, Collatz dynamics, and quantum information 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
2026-07-18
DOI
https://doi.org/10.5281/zenodo.21424403
Primary Topic
Benford’s Law and Fraud Detection
Type
preprint
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preprint

132Hz Phi-Windmill Unlocks E8 Quantum Code via Collatz Attractors — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
preprint

132Hz Phi-Windmill Unlocks E8 Quantum Code via Collatz Attractors — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

Modulating the 2D Coxeter windmill process on E8 roots with a 132Hz golden-ratio carrier wave induces a topological phase transition in the convex hull sequence, transforming Collatz-E8 orbital convergence states into syndrome measurements of a dynamical quantum error-correcting code. The resulting code space exploits the E8 lattice's optimal sphere packing to achieve a threshold exceeding the 132Hz decoherence limit, with the windmill's rotational symmetry providing a geometric Clifford group action. This unifies the 2011 IMO windmill geometry, Collatz dynamics, and quantum information Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Benford’s Law and Fraud Detection
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