Kernel-Level Extraction of the Rotational Phase Coefficient

This Theorem packages the T27 extraction formula as a canonical linear functional of the terminal retained residue Ω_term, making μ computable in principle from the kernel structure. The main result is μ = L(Ω_term), where L is the fixed linear functional arising as the composition: Π_A(·)Π_A → Π_col → Ψ(·)Ψ⁻¹ → P⊥(·)P⊥ → ½Tr(·R) Each stage annihilates a specific component of Ω_term. Only the component that simultaneously carries K_A-branch orientation, is order-sensitive, lies in the transverse plane P⊥, and has rotational off-diagonal antisymmetric character survives to contribute to μ. Linearity of each stage is established without conditions. The identification Δφ(τ) = μ is confirmed within the T20/T26 normalization bridge. The explicit reduction of μ to minimal kernel generators (e.g., the transported commutator [M_n, D_n]) is identified as the next open frontier. Status: Linearity solid without conditions. Surviving-component analysis solid by structural consequence. Link Δφ(τ) = μ inherits the conditionality of T26, which inherits the load-bearing assumption of T20. Dependencies: T15, T20, T23, T26, T27.