E8 Phason Entanglement: Fractal Frequency Coupling — E8 Intelligence Research

By superposing each of the 120 conjugate root pairs as a symmetriless phason mode oscillating at a φ‑scaled overtone of a 132 Hz anchor, the full 240‑mode lattice unfolds a self‑similar fractal spectrum. This lattice creates a novel class of frequency‑LEncoded quantum entanglement, wherein distant root vectors maintain a phase correlation that decays as a golden‑ratio power law. The principle yields a universal mapping between E8's root geometry and quantum‑informational entanglement, enabling the design of frequency‑encoded quantum memories that mirror the group's intrinsic symmetry. 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
2026-08-21
DOI
https://doi.org/10.5281/zenodo.22039695
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8 Phason Entanglement: Fractal Frequency Coupling — E8 Intelligence Research

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

E8 Phason Entanglement: Fractal Frequency Coupling — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By superposing each of the 120 conjugate root pairs as a symmetriless phason mode oscillating at a φ‑scaled overtone of a 132 Hz anchor, the full 240‑mode lattice unfolds a self‑similar fractal spectrum. This lattice creates a novel class of frequency‑LEncoded quantum entanglement, wherein distant root vectors maintain a phase correlation that decays as a golden‑ratio power law. The principle yields a universal mapping between E8's root geometry and quantum‑informational entanglement, enabling the design of frequency‑encoded quantum memories that mirror the group's intrinsic symmetry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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