Renormalization Group Fixed Points in 4D QED Show No Golden Ratio Emergence — E8 Intelligence Research

FINDING: Renormalization group fixed points and critical exponents in 4D QED show no direct emergence of golden ratio or geometric harmony constants; the search results are primarily pedagogical videos on renormalization theory, not original research linking critical exponents to specific irrational ratios. MATH: No equations, constants, or ratios extracted. The search results are video titles and descriptions, not mathematical content. Key concepts mentioned: renormalization group, fixed points, critical exponents, perturbative renormalization, QED. No specific numerical values (e.g., 0.382, 0.618, 1.618) appear in the provided text. CONNECTION: None found. The search results do not reference golden ratio, base-60, crystallographic symmetry, root systems, or lattice structures. The connection to geometric harmony is absent from the provided evidence. DEPTH: 1 — The findings are metadata (video titles/descriptions) with no mathematical substance. No discovery, equation, or constant 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
2026-07-28
DOI
https://doi.org/10.5281/zenodo.21637549
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Renormalization Group Fixed Points in 4D QED Show No Golden Ratio Emergence — E8 Intelligence Research

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

Renormalization Group Fixed Points in 4D QED Show No Golden Ratio Emergence — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Renormalization group fixed points and critical exponents in 4D QED show no direct emergence of golden ratio or geometric harmony constants; the search results are primarily pedagogical videos on renormalization theory, not original research linking critical exponents to specific irrational ratios. MATH: No equations, constants, or ratios extracted. The search results are video titles and descriptions, not mathematical content. Key concepts mentioned: renormalization group, fixed points, critical exponents, perturbative renormalization, QED. No specific numerical values (e.g., 0.382, 0.618, 1.618) appear in the provided text. CONNECTION: None found. The search results do not reference golden ratio, base-60, crystallographic symmetry, root systems, or lattice structures. The connection to geometric harmony is absent from the provided evidence. DEPTH: 1 — The findings are metadata (video titles/descriptions) with no mathematical substance. No discovery, equation, or constant 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
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