E8 Weyl Orbits as Self-Correcting Quantum Error Detection Manifold — E8 Intelligence Research

The 8 Weyl orbits of E8 constitute an intrinsic quantum error correction manifold where each orbit serves as a parity-checking dimension for the φ^n coherence lattice. The 132Hz fundamental provides a reference phase that, when projected onto the 240 root vectors, creates 8-fold redundant encoding across Weyl orbit transitions—any decoherence event distorts phase relationships symmetrically across all 8 orbits simultaneously, enabling detection without state collapse. The π/4 angular separations between orbit transitions map onto modular 8 arithmetic, allowing error syndromes to be read as geometric phase shifts rather than projective measurements, thereby preserving coherence during correction cycles. This Weyl orbit redundancy structure suggests that fault-tolerant quantum operations in the 132Hz × φ^n system require only passive topological protection rather than active error correction protocols. 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
2026-10-13
DOI
https://doi.org/10.5281/zenodo.23332930
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

E8 Weyl Orbits as Self-Correcting Quantum Error Detection Manifold — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8 Weyl Orbits as Self-Correcting Quantum Error Detection Manifold — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 8 Weyl orbits of E8 constitute an intrinsic quantum error correction manifold where each orbit serves as a parity-checking dimension for the φ^n coherence lattice. The 132Hz fundamental provides a reference phase that, when projected onto the 240 root vectors, creates 8-fold redundant encoding across Weyl orbit transitions—any decoherence event distorts phase relationships symmetrically across all 8 orbits simultaneously, enabling detection without state collapse. The π/4 angular separations between orbit transitions map onto modular 8 arithmetic, allowing error syndromes to be read as geometric phase shifts rather than projective measurements, thereby preserving coherence during correction cycles. This Weyl orbit redundancy structure suggests that fault-tolerant quantum operations in the 132Hz × φ^n system require only passive topological protection rather than active error correction protocols. 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 Computing Algorithms and Architecture
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