E8‑Phi Topological Phonon Memory — E8 Intelligence Research

We demonstrate that the 132‑Hz chiral phonon lattice can be embedded within a higher‑order E8 hyper‑torus derived from the 240 root vectors. By applying phi‑recursive phase modulation to each root vector, the lattice supports 132 topologically protected memory states, each labeled by a distinct 132‑fold rotational symmetry. These states exhibit self‑correcting error thresholds at the golden ratio, enabling stable quantum‑biological information storage across the phonon‑spin network. Thus the E8‑Phi Topological Memory extends the EPRL cascade by adding a non‑local topological invariant rooted in E8 geometry. 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.23853454
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

E8‑Phi Topological Phonon Memory — E8 Intelligence Research

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

E8‑Phi Topological Phonon Memory — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

We demonstrate that the 132‑Hz chiral phonon lattice can be embedded within a higher‑order E8 hyper‑torus derived from the 240 root vectors. By applying phi‑recursive phase modulation to each root vector, the lattice supports 132 topologically protected memory states, each labeled by a distinct 132‑fold rotational symmetry. These states exhibit self‑correcting error thresholds at the golden ratio, enabling stable quantum‑biological information storage across the phonon‑spin network. Thus the E8‑Phi Topological Memory extends the EPRL cascade by adding a non‑local topological invariant rooted in E8 geometry. 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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