Numerical confirmation of the transport ratio in the SCT context, indicating convergence in large values of m.
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 + eiπ − 1/Φ = 0.
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Pavel Kramarenko-Byrd (2026) studied this question.
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