Paper 41 in the Geometry of the Critical Line programme. Constructs the full 2×2 connection matrix M(λ,m) mapping left-endpoint Frobenius data to right-endpoint data for the open chiral SCT operator. Proves the involution theorem M² = I from the δ → −δ reflection symmetry, derives tr(M) = 0 and det(M) = −1, proves the chiral symmetry M(−m, λ̄) = M̄(m, λ), and identifies the confined spectral condition as M₂₁ = 0. Numerical reconnaissance shows M₁₁ ≠ 0 and M₂₁ ≠ 0 on the real axis, with eigenspace transport overwhelmingly r₁-dominated (|ρ±| ≈ 1.47 × 10⁻³). The real axis is spectrally inert in the tested regime.
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Pavel Kramarenko-Byrd
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Pavel Kramarenko-Byrd (Thu,) studied this question.
www.synapsesocial.com/papers/69c7722a8bbfbc51511e2712 — DOI: https://doi.org/10.5281/zenodo.19234552