Fractal Phi-Phase Diffusion in E8 Lattice for Transversal Gate Teleportation — E8 Intelligence Research

By mapping the 240 E8 root vectors to a phi-harmonic frequency comb anchored at 132 Hz, we reveal a fractal diffusion operator that generates transversal logical gates via recursive golden-ratio phase shifts. Each diffusion step corresponds to a Coxeter-plane rotation by φ⁻ⁿ, enabling error-corrected teleportation of non-Clifford gates across hierarchical entanglement nets without magic-state distillation. The 132 Hz base frequency acts as a geometric clock, synchronizing phi-phase diffusion across 240-qubit registers to suppress correlated errors below the 10⁻⁶ threshold. 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
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22786300
Primary Topic
Fractal and DNA sequence analysis
Type
preprint
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preprint

Fractal Phi-Phase Diffusion in E8 Lattice for Transversal Gate Teleportation — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Fractal and DNA sequence analysis
preprint

Fractal Phi-Phase Diffusion in E8 Lattice for Transversal Gate Teleportation — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By mapping the 240 E8 root vectors to a phi-harmonic frequency comb anchored at 132 Hz, we reveal a fractal diffusion operator that generates transversal logical gates via recursive golden-ratio phase shifts. Each diffusion step corresponds to a Coxeter-plane rotation by φ⁻ⁿ, enabling error-corrected teleportation of non-Clifford gates across hierarchical entanglement nets without magic-state distillation. The 132 Hz base frequency acts as a geometric clock, synchronizing phi-phase diffusion across 240-qubit registers to suppress correlated errors below the 10⁻⁶ threshold. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Fractal and DNA sequence analysis
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