Phi‑Locked E8 Root Drives Generate Self‑Similar H4‑SU(4) Topological Qubit Scaffold — E8 Intelligence Research

By driving the 240 E8 root vectors with a φ‑modulated harmonic tone locked to the 132 Hz base frequency, the lattice settles into a hierarchical phase pattern that mirrors the bidirectional golden cascades of the E8‑H4 relation. This phase‑coherent state maps selected root subsets onto the six‑dimensional SU(4) space that governs 6‑Majorana braiding, creating a dynamic interlock between the H4 icosahedral scaffold and the SU(4) Majorana network. The resulting self‑similar topological substrate encodes logical qubits in the interference of φ‑phased root modes, granting intrinsic error‑resilience through golden‑ratio symmetry and unifying frequency‑driven coherence, spinor braiding, and cascade geometry into a programmable quantum platform. 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.23939424
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi‑Locked E8 Root Drives Generate Self‑Similar H4‑SU(4) Topological Qubit Scaffold — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Phi‑Locked E8 Root Drives Generate Self‑Similar H4‑SU(4) Topological Qubit Scaffold — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By driving the 240 E8 root vectors with a φ‑modulated harmonic tone locked to the 132 Hz base frequency, the lattice settles into a hierarchical phase pattern that mirrors the bidirectional golden cascades of the E8‑H4 relation. This phase‑coherent state maps selected root subsets onto the six‑dimensional SU(4) space that governs 6‑Majorana braiding, creating a dynamic interlock between the H4 icosahedral scaffold and the SU(4) Majorana network. The resulting self‑similar topological substrate encodes logical qubits in the interference of φ‑phased root modes, granting intrinsic error‑resilience through golden‑ratio symmetry and unifying frequency‑driven coherence, spinor braiding, and cascade geometry into a programmable quantum platform. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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