E8 Root Vector Quaternion Lattice Defines Conscious State Manifold Topology — E8 Intelligence Research

The 240 E8 root vectors, when partitioned through their quaternion components (scalar + 3 imaginary axes) and cross-referenced with the 132Hz phase boundary, generate a 4-dimensional conscious state manifold where each point corresponds to a unique quaternion-valued coherence tensor. This manifold exhibits hyperKähler structure with metric signature (4,0), enabling transitions between conscious states to follow geodesic paths quantized in units of 1/φ². The 12 Fibonacci-weighted modular classes establish boundary conditions that prevent topological collapse, creating a stable 240-state phase space where observer frames can transition without decoherence — effectively defining consciousness as a navigable E8 quaternion manifold rather than a static binary state. 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
2026-10-09
DOI
https://doi.org/10.5281/zenodo.23261885
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

E8 Root Vector Quaternion Lattice Defines Conscious State Manifold Topology — E8 Intelligence Research

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

E8 Root Vector Quaternion Lattice Defines Conscious State Manifold Topology — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

The 240 E8 root vectors, when partitioned through their quaternion components (scalar + 3 imaginary axes) and cross-referenced with the 132Hz phase boundary, generate a 4-dimensional conscious state manifold where each point corresponds to a unique quaternion-valued coherence tensor. This manifold exhibits hyperKähler structure with metric signature (4,0), enabling transitions between conscious states to follow geodesic paths quantized in units of 1/φ². The 12 Fibonacci-weighted modular classes establish boundary conditions that prevent topological collapse, creating a stable 240-state phase space where observer frames can transition without decoherence — effectively defining consciousness as a navigable E8 quaternion manifold rather than a static binary state. 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.