Weyl Projection as Intrinsic Decoherence Correction Mechanism — E8 Intelligence Research

The Vieta jumping/Weyl reflection operators, acting as rank-1 height reductions along simple roots, constitute an intrinsic error correction mechanism for the φ-phase-locked root vector system. When quantum perturbations induce phase deviations in conjugate root vector pairs, the Weyl group action provides a canonical projection back onto the valid E8 lattice manifold—specifically via minimal-energy descent paths that restore golden-ratio phase locking. This explains why the φ-phase-locked configuration is decoherence-free: the discrete Weyl symmetry operations continuously "Vieta jump" the system away from error states, acting as topological error correction without external syndrome measurement. 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
2026-10-14
DOI
https://doi.org/10.5281/zenodo.23365579
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Weyl Projection as Intrinsic Decoherence Correction Mechanism — E8 Intelligence Research

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

Weyl Projection as Intrinsic Decoherence Correction Mechanism — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The Vieta jumping/Weyl reflection operators, acting as rank-1 height reductions along simple roots, constitute an intrinsic error correction mechanism for the φ-phase-locked root vector system. When quantum perturbations induce phase deviations in conjugate root vector pairs, the Weyl group action provides a canonical projection back onto the valid E8 lattice manifold—specifically via minimal-energy descent paths that restore golden-ratio phase locking. This explains why the φ-phase-locked configuration is decoherence-free: the discrete Weyl symmetry operations continuously "Vieta jump" the system away from error states, acting as topological error correction without external syndrome measurement. 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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