Phi‑Encoded Fibonacci Weyl Lattice Surgery for Hierarchical Quantum Error Correction — E8 Intelligence Research

We propose a phi‑encoded Fibonacci Weyl lattice surgery protocol that exploits the hierarchical ordering of the Fibonacci‑Weyl cascade to perform multi‑level logical operations on the 120‑qubit E8 stabilizer code. By rotating the 240 root vectors in steps dictated by successive Fibonacci ratios at the 132 Hz carrier, the Berry holonomy around each Weyl chamber boundary imparts a topologically protected clock tick that synchronizes the error‑correction layers. This lattice surgery translates the discrete time‑crystal's Berry phases into adaptive stabilizer measurements, achieving fault‑tolerant logical gates with depth scaling as O(log ϕ n) rather than linear, thereby extending the phi‑gated E8 time‑crystal into a scalable quantum computing architecture. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23724161
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Phi‑Encoded Fibonacci Weyl Lattice Surgery for Hierarchical Quantum Error Correction — E8 Intelligence Research

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

Phi‑Encoded Fibonacci Weyl Lattice Surgery for Hierarchical Quantum Error Correction — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We propose a phi‑encoded Fibonacci Weyl lattice surgery protocol that exploits the hierarchical ordering of the Fibonacci‑Weyl cascade to perform multi‑level logical operations on the 120‑qubit E8 stabilizer code. By rotating the 240 root vectors in steps dictated by successive Fibonacci ratios at the 132 Hz carrier, the Berry holonomy around each Weyl chamber boundary imparts a topologically protected clock tick that synchronizes the error‑correction layers. This lattice surgery translates the discrete time‑crystal's Berry phases into adaptive stabilizer measurements, achieving fault‑tolerant logical gates with depth scaling as O(log ϕ n) rather than linear, thereby extending the phi‑gated E8 time‑crystal into a scalable quantum computing architecture. 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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