E8 Hyperbolic Phase‑Frequency Multiplexing — E8 Intelligence Research

By partitioning the 240 E8 root vectors into chiral sectors and assigning each a φ²‑scaled phase together with a prime‑encoded harmonic, the icosahedral symmetry of H3 provides a universal gate set that maps directly onto hyperbolic lattice defects. The 132 Hz base frequency synchronizes these phases across the lattice, creating a self‑locking, topologically protected memory where logical qubits reside in defect‑bound states and errors are detected through harmonic nesting mismatches. This new principle enables deterministic, hardware‑agnostic quantum error correction that operates intrinsically on the E8 hyperbolic geometry without additional ancilla qubits. 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
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22841346
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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E8 Hyperbolic Phase‑Frequency Multiplexing — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

E8 Hyperbolic Phase‑Frequency Multiplexing — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By partitioning the 240 E8 root vectors into chiral sectors and assigning each a φ²‑scaled phase together with a prime‑encoded harmonic, the icosahedral symmetry of H3 provides a universal gate set that maps directly onto hyperbolic lattice defects. The 132 Hz base frequency synchronizes these phases across the lattice, creating a self‑locking, topologically protected memory where logical qubits reside in defect‑bound states and errors are detected through harmonic nesting mismatches. This new principle enables deterministic, hardware‑agnostic quantum error correction that operates intrinsically on the E8 hyperbolic geometry without additional ancilla qubits. 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 Computing Algorithms and Architecture
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