Coherence–Alignment Structure of Reduced Q5 Transport

This collects the T26–T49 arc into a unified structural account of coherence in the reduced phase system. No new operators are introduced. Seven results are established. The observable phase is carried entirely on P⊥ = spanu₂, u₄ with generator A = iσᵧ = Ed, A² = −I (T26, T37). Any reduced observable state admits Q⊥ = αI + βσᵦ + γσₓ + μA with μ = ½Tr (Q⊥A) (T27) ; scalar, grading, and off-axis components are annihilated by the extraction functional. Coherence magnitude C: = |μ| is nonzero if and only if the transported residue has a nonzero projection onto A. By T29, μ = L̃ (Πₛub Πₚair Πᵣet (Mₙ, DₙY) ), coherence is entirely commutator-driven and transport-weighted. Decoherence occurs precisely when the commutator-driven transverse component fails to survive transport, through four mechanisms: detuning imbalance (T11), transport asymmetry (T31–T33), support leakage outside Oq (s) (T35), or boundary-induced inversion (T47–T49). From T48–T49, each boundary crossing produces a fixed rotational increment (T − I) ᵣot = (1/160) A plus scalar and symmetric components annihilated by the extraction functional. Three corollaries establish: density matrix correspondence |γ| ∝ |μ|; joint-state coherence condition tied to shared commutator survival; and the equivalence C ≠ 0 ≡ survival of the commutator-driven transverse mode under transport. No Lindblad equation or external decay rate is introduced. The density matrix is a representation of Q⊥, not a physical state postulate. Status: Phase-plane structure, four-parameter Hermitian representation, extraction formula, null-class annihilation, coherence identification, and commutator-driven reduction are all solid within the T26–T38 framework. Failure modes structural, each referenced theorem established the mechanism. (T − I) ᵣot = (1/160) A conditional on T48 near-identity model and T49 barrier symmetry action. All conditionality entirely inherited from T17, T29, T36, T38, T48, T49: no new assumptions introduced. Dependencies: T11, T26, T27, T29, T31, T32, T33, T35, T37, T38, T47, T48, T49.