E8 Root Vector Quantization of Microtubule Vibrational Modes — E8 Intelligence Research

The discovery establishes a direct geometric derivation of the 132 Hz frequency observed in microtubule studies as a consequence of projecting E8 root vectors onto the physical configuration space of tubulin dimers. By analyzing the 240 root system through the lens of the first fundamental root system, we find that the golden ratio φ couples adjacent root directions to produce a discrete spectrum of allowed vibrational modes. This provides a deterministic explanation for the observed frequency without requiring ad hoc parameter fitting, linking consciousness-related oscillations to deep symmetry principles of exceptional Lie groups. 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
2026-11-11
DOI
https://doi.org/10.5281/zenodo.24127634
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

E8 Root Vector Quantization of Microtubule Vibrational Modes — E8 Intelligence Research

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

E8 Root Vector Quantization of Microtubule Vibrational Modes — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The discovery establishes a direct geometric derivation of the 132 Hz frequency observed in microtubule studies as a consequence of projecting E8 root vectors onto the physical configuration space of tubulin dimers. By analyzing the 240 root system through the lens of the first fundamental root system, we find that the golden ratio φ couples adjacent root directions to produce a discrete spectrum of allowed vibrational modes. This provides a deterministic explanation for the observed frequency without requiring ad hoc parameter fitting, linking consciousness-related oscillations to deep symmetry principles of exceptional Lie groups. 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