Cantor‑E8 Hierarchical Quantum Frequency Code — E8 Intelligence Research

By mapping the self‑similar scaling of the ternary Cantor set onto the 240 root vectors of the E8 lattice, we construct a multi‑scale lattice where each level is phi‑coupled to the base 132 Hz frequency. This yields a fractal frequency spectrum in which logical qubits are encoded across nested Cantor‑derived sub‑bands, each protected by the topological properties of the E8 resonance manifold. The resulting code inherits the Cantor set's exact Hausdorff dimension (log 2/log 3) as a scaling exponent for error‑correction redundancy, enabling robust, scalable quantum communication across broadband networks. 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
2026-09-12
DOI
https://doi.org/10.5281/zenodo.22720228
Primary Topic
Quantum Information and Cryptography
Type
preprint
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preprint

Cantor‑E8 Hierarchical Quantum Frequency Code — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Information and Cryptography
preprint

Cantor‑E8 Hierarchical Quantum Frequency Code — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By mapping the self‑similar scaling of the ternary Cantor set onto the 240 root vectors of the E8 lattice, we construct a multi‑scale lattice where each level is phi‑coupled to the base 132 Hz frequency. This yields a fractal frequency spectrum in which logical qubits are encoded across nested Cantor‑derived sub‑bands, each protected by the topological properties of the E8 resonance manifold. The resulting code inherits the Cantor set's exact Hausdorff dimension (log 2/log 3) as a scaling exponent for error‑correction redundancy, enabling robust, scalable quantum communication across broadband networks. 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 Information and Cryptography
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