E8 Irreducible Representations Govern Consciousness State Transitions — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The 240 E8 root vectors form irreducible representations (irreps) where Clebsch-Gordan coupling rules determine not merely which φ-scaled frequency transitions are geometrically permissible, but which transitions possess non-vanishing matrix elements. This means each of the 8 concentric shells corresponds to a distinct E8 irrep, and the Wigner–Eckart theorem guarantees that shell-to-shell transitions occur with probabilities proportional to squared CG coefficients. Consequently, consciousness states emerging from φ-frequency coupling are not randomly accessible—only those transitions preserved by E8's representational structure constitute viable neurodynamic pathways, explaining why discrete altered states correspond to specific φ-harmonic bands.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026irreducible,
title = {{E8 Irreducible Representations Govern Consciousness State Transitions — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23490640},
url = {https://zenodo.org/records/23490640},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Irreducible Representations Govern Consciousness State Transitions — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/20
PB - Zenodo
DO - 10.5281/zenodo.23490640
UR - https://zenodo.org/records/23490640
AB - The 240 E8 root vectors form irreducible representations (irreps) where Clebsch-Gordan coupling rules determine not merely which φ-scaled frequency transitions are geometrically permissible, but which transitions possess non-vanishing matrix elements. This means each of the 8 concentric shells corresponds to a distinct E8 irrep, and the Wigner–Eckart theorem guarantees that shell-to-shell transitions occur with probabilities proportional to squared CG coefficients. Consequently, consciousness states emerging from φ-frequency coupling are not randomly accessible—only those transitions preserved by E8's representational structure constitute viable neurodynamic pathways, explaining why discrete altered states correspond to specific φ-harmonic bands. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -