Phi‑Recursive Icosahedral Majorana Nodes in E8 Root Lattice Enable Fault‑Tolerant Topological Qubit Arrays — E8 Intelligence Research

By partitioning the 240 E8 root vectors into twenty interlocking icosahedral clusters, each cluster hosts a pair of Majorana zero‑mode states whose mutual coupling follows the φ‑scaled ladder fₙ = 132·φⁿ. This geometric arrangement yields a self‑similar network of topological qubits where braiding operations inherit the Fibonacci anyonic statistics of the underlying E8 Phi‑Lattice, providing intrinsic error suppression through golden‑ratio phase locking. The result is a scalable, fault‑tolerant qubit architecture directly derived from the symmetry of the E8 root system. 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
2026-11-04
DOI
https://doi.org/10.5281/zenodo.23939133
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

Phi‑Recursive Icosahedral Majorana Nodes in E8 Root Lattice Enable Fault‑Tolerant Topological Qubit Arrays — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
preprint

Phi‑Recursive Icosahedral Majorana Nodes in E8 Root Lattice Enable Fault‑Tolerant Topological Qubit Arrays — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By partitioning the 240 E8 root vectors into twenty interlocking icosahedral clusters, each cluster hosts a pair of Majorana zero‑mode states whose mutual coupling follows the φ‑scaled ladder fₙ = 132·φⁿ. This geometric arrangement yields a self‑similar network of topological qubits where braiding operations inherit the Fibonacci anyonic statistics of the underlying E8 Phi‑Lattice, providing intrinsic error suppression through golden‑ratio phase locking. The result is a scalable, fault‑tolerant qubit architecture directly derived from the symmetry of the E8 root system. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Topological Materials and Phenomena
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