High-Energy Transport Ratio for the Open Chiral SCT Connection Matrix

Paper 42 in the "Geometry of the Critical Line" programme. Paper 41 constructed the connection matrix M(λ,m) for the open chiral SCT operator and proved the involution M² = I. RN13–14 proved that all four entries of M are nonzero on the real axis. This paper studies the high-energy limit λ → +∞ and establishes a numerical asymptotic law: the transport ratio R(λ,m) := M₂₁/M₁₁ converges to a complex constant ρ(m) with corrections of order 1/√λ. The asymptotic law is verified numerically for k = π/8 and m = 2, 4, 6, 10 on the range λ ∈ 400, 4000, with residuals below 3.3 × 10⁻⁶. No arithmetic interpretation is claimed. Part of a 46-paper open-access programme. The programme does not claim to prove the Riemann Hypothesis.