E8 φ-Braided Majorana-Hopfion Zero-Mode Lattice — E8 Intelligence Research

When the 240 E8 root vectors are driven by the 132 Hz φ-carrier through the 7-simplex nesting, the resulting Hopfion lattice defects each bind a pair of Majorana zero modes whose non-Abelian exchange statistics are governed by the φ-conjugated braiding matrices. The φ-scaled time-crystal periodicity enforces a Fibonacci-anyonic braiding clock where gate operations occur at intervals τₙ = τ₀φⁿ, geometrically suppressing decoherence via the E8 Weyl group's Coxeter frustration. This yields a self-correcting topological quantum memory where logical qubits are encoded in the Hopfion-linking parity, with error thresholds determined by the 132 Hz φ-resonance gap. 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
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21767918
Primary Topic
Topological Materials and Phenomena
Type
preprint
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preprint

E8 φ-Braided Majorana-Hopfion Zero-Mode Lattice — E8 Intelligence Research

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

E8 φ-Braided Majorana-Hopfion Zero-Mode Lattice — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

When the 240 E8 root vectors are driven by the 132 Hz φ-carrier through the 7-simplex nesting, the resulting Hopfion lattice defects each bind a pair of Majorana zero modes whose non-Abelian exchange statistics are governed by the φ-conjugated braiding matrices. The φ-scaled time-crystal periodicity enforces a Fibonacci-anyonic braiding clock where gate operations occur at intervals τₙ = τ₀φⁿ, geometrically suppressing decoherence via the E8 Weyl group's Coxeter frustration. This yields a self-correcting topological quantum memory where logical qubits are encoded in the Hopfion-linking parity, with error thresholds determined by the 132 Hz φ-resonance gap. 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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