Golden Ratio Search Results: Popular Expositions, Not Physics Research — E8 Intelligence Research

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Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22742450
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Golden Ratio Search Results: Popular Expositions, Not Physics Research — E8 Intelligence Research

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

Golden Ratio Search Results: Popular Expositions, Not Physics Research — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are dominated by popular expositions of the golden ratio (φ) and Fibonacci numbers, with only one substantive physics paper (Feynman-Vernon model) that does **not** mention φ, self-similarity, or renormalization group explicitly. The "golden ratio" hits are educational videos, not research findings. | MATH: φ = (1+√5)/2 ≈ 1.6180339887; φ² = φ+1 = 2.6180339887; 1/φ = φ−1 ≈ 0.6180339887; φ⁻² = 2−φ ≈ 0.3819660113; Fibonacci recurrence Fₙ = Fₙ₋₁ + Fₙ₋₂, with limₙ→∞ Fₙ₊₁/Fₙ = φ. The Feynman-Vernon paper (arXiv:1803.10300v1) deals with influence functional for a Brownian particle in a moving thermal bath — its math involves path integrals, spectral densities, and dissipation kernels, but no golden ratio or self-similar RG structure is reported in the abstract. | CONNECTION: The videos establish φ's geometric self-similarity (golden rectangle, pentagon diagonals) — a fixed point under scaling/partition. This is structurally analogous to renormalization group fixed Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
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Advanced Mathematical Theories and Applications
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