No direct evidence of golden ratio scaling in disordered topological phase transitions, indicating a lack of underlying geometric harmony.
FINDING: No direct evidence of golden ratio φ² scaling in disordered topological phase transitions found in provided sources. Sources are tangential: finite-size scaling in spin chains, unsupervised ML for topological phases, and a general video on golden ratio. The arXiv paper on XY ferromagnets with random anisotropy does not mention φ or topological transitions. MATH: No equations, constants, or ratios extracted. The arXiv paper (2208.10109v8) studies magnetization M and susceptibility χ vs temperature in 3D XY model with random anisotropy, but provides no specific scaling exponents or φ-related numbers. CONNECTION: No geometric harmony links (0.382, 0.618, 0.786, 1.618, 2.618, base-60, crystallographic symmetry) found in any source. The "Beyond the Golden Ratio" video is a general educational piece, not connected to topological phase transitions. DEPTH: 1 — The search query yielded no relevant mathematical findings. The sources are either unrelated (golden ratio video), too gene Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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