Research Note 24 in the "Geometry of the Critical Line" programme. Paper 45 proves the leading local quotient formula ρ̂ (m) = |r₁ − r₂|/|c₁^ (r₂) | by Wronskian cancellation and derives the geometric transport limit ρ̂ (m) → 2/k = 16/π. This note provides an independent numerical confirmation of that formula and its large-m behaviour. Numerical data for m = 2 to 50 confirm the formula to within 0. 04% for m ≥ 20. The approach to 16/π is verified with fitted subleading corrections, and the convergence rate is illustrated across the full tested winding-sector range. The leading quotient formula is now proved (Paper 45) ; the role of this note is numerical confirmation and large-m illustration of the convergence. No arithmetic interpretation is claimed. Part of a 46-paper open-access programme on the geometry of the Riemann zeta function's critical line, anchored by the SCT 5-Manifold and the cover equation Φ + e^iπ − 1/Φ = 0.
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Pavel Kramarenko-Byrd
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Pavel Kramarenko-Byrd (Sun,) studied this question.
www.synapsesocial.com/papers/69cb6556e6a8c024954b975b — DOI: https://doi.org/10.5281/zenodo.19319892
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