PreprintCC BY 4.0Zenodo
E8 Phi-Resonance Coupling Principle — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
Each of the 240 E8 root vectors can be paired with a φ‑scaled phase, creating a self‑similar resonance lattice. This pairing forces the E8 theta series to split into a product of φ‑modulated Eisenstein series, exposing a σ₃(n) pattern. As a result, the topological information capacity becomes bounded by φ^240, defining a new φ‑entropy principle.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026phiresonance,
title = {{E8 Phi-Resonance Coupling Principle — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23616388},
url = {https://zenodo.org/records/23616388},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Phi-Resonance Coupling Principle — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23616388
UR - https://zenodo.org/records/23616388
AB - Each of the 240 E8 root vectors can be paired with a φ‑scaled phase, creating a self‑similar resonance lattice. This pairing forces the E8 theta series to split into a product of φ‑modulated Eisenstein series, exposing a σ₃(n) pattern. As a result, the topological information capacity becomes bounded by φ^240, defining a new φ‑entropy principle. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -