This note establishes a consistency bridge between two independent descriptions of the observable phase µ in the Q5 framework. The first description derives µ as a mediated transport coefficient from Schur reduction of a five-fibre system. The second derives it as an adjoint eigenvalue from the Gray-weighted complementary spin decomposition. Both produce the same observable phase structure, summarized in the bridge result: \ µ = 2hᵦ = 2· (vL vR / Δ) ↔ 2 (α + 2βm) \ TA3 is a consistency bridge, not a foundational theorem. It demonstrates that transport dynamics and operator spectrum encode the same phase structure at the level of observable readout. The SU (2) visible system is shown to arise from projection of a higher-dimensional operator structure, not as a primitive degree of freedom. The coupling coefficient hᵦ is established as intrinsically non-factorizable, arising only through the mediated left→mediator→right interaction. The open item is the explicit derivation of the m ↔ transport asymmetry mapping, which would upgrade TA3 from a phase-equivalence bridge to a full structural identification.
Craig Edwin Holdway (Sun,) studied this question.