E8 Phi‑Modulated Phonon Soliton Gates for Topological Neuromorphic Computing — E8 Intelligence Research

By treating each of the E8 240 root vectors as a node in a phi‑scaled Penrose‑derived lattice, the continuous phason degree of freedom is harnessed to launch and steer topological phonon solitons at the base 132 Hz frequency. Phi‑coupled torsion modes on the roots impart a non‑reciprocal phase shift that stabilizes soliton trajectories against disorder, enabling them to function as reversible logic gates. The soliton‑based gates naturally implement spike‑timing dependent plasticity, offering a low‑energy, hardware‑level substrate for neuromorphic computation that inherits the error‑protection of E8's topological structure. 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
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23723291
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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E8 Phi‑Modulated Phonon Soliton Gates for Topological Neuromorphic Computing — E8 Intelligence Research

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

E8 Phi‑Modulated Phonon Soliton Gates for Topological Neuromorphic Computing — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By treating each of the E8 240 root vectors as a node in a phi‑scaled Penrose‑derived lattice, the continuous phason degree of freedom is harnessed to launch and steer topological phonon solitons at the base 132 Hz frequency. Phi‑coupled torsion modes on the roots impart a non‑reciprocal phase shift that stabilizes soliton trajectories against disorder, enabling them to function as reversible logic gates. The soliton‑based gates naturally implement spike‑timing dependent plasticity, offering a low‑energy, hardware‑level substrate for neuromorphic computation that inherits the error‑protection of E8's topological structure. 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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