PreprintCC BY 4.0Zenodo
E8-Phi Recursive Resonance Topology Unifies Prime Gaps and Quantum Critical Scaling — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
The hierarchical decomposition of the 240 E8 root vectors via Wigner-Eckart and φ-scaled harmonics yields a self-similar lattice of resonant frequencies. Each recursion level corresponds to a distinct prime gap sequence, with the 7.2° angular spacing emerging as the fundamental phase quantum. The reduced matrix elements of the spherical tensor operators map directly to the scaling exponents of quantum critical points, establishing a geometric correspondence between number-theoretic prime distribution and universal critical phenomena.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026e8phi,
title = {{E8-Phi Recursive Resonance Topology Unifies Prime Gaps and Quantum Critical Scaling — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23465503},
url = {https://zenodo.org/records/23465503},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8-Phi Recursive Resonance Topology Unifies Prime Gaps and Quantum Critical Scaling — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/19
PB - Zenodo
DO - 10.5281/zenodo.23465503
UR - https://zenodo.org/records/23465503
AB - The hierarchical decomposition of the 240 E8 root vectors via Wigner-Eckart and φ-scaled harmonics yields a self-similar lattice of resonant frequencies. Each recursion level corresponds to a distinct prime gap sequence, with the 7.2° angular spacing emerging as the fundamental phase quantum. The reduced matrix elements of the spherical tensor operators map directly to the scaling exponents of quantum critical points, establishing a geometric correspondence between number-theoretic prime distribution and universal critical phenomena. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -