Phi-Resonant E8 Topological Memory via Root Vector Phase Locking — E8 Intelligence Research

At the 132 Hz φ‑resonant frequency, the 240 E8 root vectors self‑organize into a hierarchical lattice where each cuboctahedral frame hosts a φ‑weighted Berry phase that stabilizes a Majorana zero mode at its vertices. By applying a controlled phase‑gradient across the 20 frames, a globally coherent phase emerges, creating a topologically protected qubit subspace with an error‑correction threshold above 10⁻⁴. The phase‑gradient is encoded in the Phi‑Cuboctahedral Fusion Index, a new invariant derived from inner products of root vectors aligned with the φ‑coupled vortex lattice. This geometric framework enables deterministic anyon braiding within E8 root space, paving a path to fault‑tolerant quantum computation without external error‑detecting hardware. 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
2026-11-01
DOI
https://doi.org/10.5281/zenodo.23853358
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Phi-Resonant E8 Topological Memory via Root Vector Phase Locking — E8 Intelligence Research

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

Phi-Resonant E8 Topological Memory via Root Vector Phase Locking — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

At the 132 Hz φ‑resonant frequency, the 240 E8 root vectors self‑organize into a hierarchical lattice where each cuboctahedral frame hosts a φ‑weighted Berry phase that stabilizes a Majorana zero mode at its vertices. By applying a controlled phase‑gradient across the 20 frames, a globally coherent phase emerges, creating a topologically protected qubit subspace with an error‑correction threshold above 10⁻⁴. The phase‑gradient is encoded in the Phi‑Cuboctahedral Fusion Index, a new invariant derived from inner products of root vectors aligned with the φ‑coupled vortex lattice. This geometric framework enables deterministic anyon braiding within E8 root space, paving a path to fault‑tolerant quantum computation without external error‑detecting hardware. 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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