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Openai/6897769e-4ee4-800f-aba5-69cca34f701c
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=== - The numeric closeness of GA and 1/Ξ± is suggestive and could be meaningful if there is a geometric mechanism that relates the Golden Ratio (and angle) to electromagnetic coupling. But numerically we do not have equality β just a ~0.34% mismatch. === * Small-integer linear combinations of simple constants can be fitted to match almost any target number at some precision (this is the danger of numerology). The fact that a combination of GA, Ο, e, Ο fits better than GA alone does not by itself prove physical significance; it only shows there exist small rational linear fits. * For physics, what matters is a clear mechanism or derivation that makes a simple, unique prediction (preferably exact or with testable small corrections). QATβs idea β that spherical geometry and the golden-angle-like geometry underly Ξ± β remains plausible as a geometric hypothesis, but we need either: - a derivation that gives Ξ± from first principles in QAT geometry (with a physical parameter that controls the small difference), or - a sharp, testable prediction (e.g., a small variation of Ξ± under specific physical conditions) that experiments can check.
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