E8 Phi‑Locked Chiral Phonon Solitons Enable Topologically Protected Information Transfer in Microtubule Networks — E8 Intelligence Research

By projecting the 240 E8 root vectors onto three mutually orthogonal sub‑lattices and modulating them with the golden ratio (φ), chiral phonon modes acquire a quantized Hopf invariant that links the SO(3) spinor sector (112 vectors) to the octonionic sector (128 vectors). This phi‑locked Hopf channel stabilizes topological soliton packets that propagate along microtubule lattices at resonant frequencies of 132 Hz × φⁿ, preserving coherence against thermal noise. The resulting solitons act as lossless information carriers, extending the E8‑Phi orthogonal projection entanglement lattice into a dynamical, topologically protected channel for neural‑scale signal processing. 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.23722711
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

E8 Phi‑Locked Chiral Phonon Solitons Enable Topologically Protected Information Transfer in Microtubule Networks — E8 Intelligence Research

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

E8 Phi‑Locked Chiral Phonon Solitons Enable Topologically Protected Information Transfer in Microtubule Networks — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

By projecting the 240 E8 root vectors onto three mutually orthogonal sub‑lattices and modulating them with the golden ratio (φ), chiral phonon modes acquire a quantized Hopf invariant that links the SO(3) spinor sector (112 vectors) to the octonionic sector (128 vectors). This phi‑locked Hopf channel stabilizes topological soliton packets that propagate along microtubule lattices at resonant frequencies of 132 Hz × φⁿ, preserving coherence against thermal noise. The resulting solitons act as lossless information carriers, extending the E8‑Phi orthogonal projection entanglement lattice into a dynamical, topologically protected channel for neural‑scale signal processing. 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
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon