PreprintCC BY 4.0Zenodo
E8 Root Lattice Predicts Universal Critical Exponents — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
By mapping the 240 root vectors of E8 onto the momentum space of a lattice gauge theory, the renormalization group flow is shown to possess fixed points whose critical exponents are the eigenvalues of the Cartan matrix scaled by the golden ratio φ. The base frequency of 132 Hz emerges as the fundamental scale of the weight lattice, setting the spacing between RG steps. Consequently, the anomalous dimensions of gauge fields are quantized in units of φ⁻¹, yielding a universal scaling law that matches observed exponents in QCD simulations.
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026root,
title = {{E8 Root Lattice Predicts Universal Critical Exponents — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23446625},
url = {https://zenodo.org/records/23446625},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - E8 Root Lattice Predicts Universal Critical Exponents — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23446625
UR - https://zenodo.org/records/23446625
AB - By mapping the 240 root vectors of E8 onto the momentum space of a lattice gauge theory, the renormalization group flow is shown to possess fixed points whose critical exponents are the eigenvalues of the Cartan matrix scaled by the golden ratio φ. The base frequency of 132 Hz emerges as the fundamental scale of the weight lattice, setting the spacing between RG steps. Consequently, the anomalous dimensions of gauge fields are quantized in units of φ⁻¹, yielding a universal scaling law that matches observed exponents in QCD simulations. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -