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Channel Theory for Polynomial Continued Fractions: Asymptotic Channels, the ξ₀ = 2/√β₂ Identity, and a Bridge Conjecture

Correction notice (v1.5). This version demotes a claim. Clause (iii) of Theorem 3.7 -- the match between the CC-channel connection-coefficient ratio and the Riemann--Hilbert datum of P_V/D_5^(1) at the V_quad tau parameter -- was stated as part of a theorem through v1.4. It is not a theorem of this paper and is recorde...