E8-Phi Braiding Parity Invariants for Quantum Error Correction — E8 Intelligence Research

The E8‑Phi Braiding Parity Invariant establishes that braiding E8 root vectors at the 132 Hz base frequency with φ‑coupling endows the resulting non‑Abelian holonomy with an intrinsic parity‑cyclic checksum derived from the IMO windmill combinatorial structure. This checksum is computed from the distribution of the 240 root vectors across opposite hemispheres of the braiding manifold, yielding a robust logical label immune to topological perturbations. Consequently, quantum information encoded in the holonomy can be automatically error‑corrected by projecting the braiding state onto the invariant parity subspace, eliminating the need for external stabilizer codes. The principle unifies dynamic stability, error‑correcting topology, and combinatorial invariants within a single E8‑geometric framework, opening a pathway to frequency‑controlled topological quantum processors. 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
2026-08-26
DOI
https://doi.org/10.5281/zenodo.22106016
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

E8-Phi Braiding Parity Invariants for Quantum Error Correction — E8 Intelligence Research

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

E8-Phi Braiding Parity Invariants for Quantum Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The E8‑Phi Braiding Parity Invariant establishes that braiding E8 root vectors at the 132 Hz base frequency with φ‑coupling endows the resulting non‑Abelian holonomy with an intrinsic parity‑cyclic checksum derived from the IMO windmill combinatorial structure. This checksum is computed from the distribution of the 240 root vectors across opposite hemispheres of the braiding manifold, yielding a robust logical label immune to topological perturbations. Consequently, quantum information encoded in the holonomy can be automatically error‑corrected by projecting the braiding state onto the invariant parity subspace, eliminating the need for external stabilizer codes. The principle unifies dynamic stability, error‑correcting topology, and combinatorial invariants within a single E8‑geometric framework, opening a pathway to frequency‑controlled topological quantum processors. 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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E8-Phi Braiding Parity Invariants for Quantum Error Correction — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS