The Elusive Golden Ratio: A Search for the Englert-Greenberger-Yasin Duality Relation — E8 Intelligence Research

FINDING: The search results are largely pedagogical (YouTube lectures, MIT OCW, Perimeter Institute) and do not contain a specific research paper on the Englert-Greenberger-Yasin duality relation or its golden-ratio connection. The only substantive academic item is an arXiv preprint (2601.15314v1) on cognitive complementarity, which is philosophical, not mathematical. MATH: No new equations, constants, or ratios are presented in the raw findings. The E-G-Y duality relation itself (which is *not* extracted here) is: \( V^2 + D^2 ≤ 1 \) where \( V \) is fringe visibility and \( D \) is which-path distinguishability. This is the standard complementarity bound. No golden-ratio or base-60 constants appear in the provided text. CONNECTION: The only geometric link is *graph duality* (Euler's formula \( V - E + F = 2 \)) in the planar graph video — but this is unrelated to quantum complementarity. No 0.382, 0.618, 0.786, 1.618, 2.618, crystallog Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com