Phase Orthogonality II: Structural Consistency of an Interaction-Null Dark Sector

In a previous study [1], we proposed that electromagnetic interaction may vanish throughphase orthogonality rather than through the absence of charge. In the present work, we formulatea minimal operator framework demonstrating that the phase-orthogonal component can beconsistently identified with the null-space of an interaction operator acting on an internal Hilbertspace.Electromagnetic invisibility emerges from structural decoupling rather than from additionalgauge symmetries. We show that non-commutativity between the interaction operator and themass operator permits a massive eigenstate to remain electromagnetically suppressed. Thisestablishes the structural consistency of the model and provides the theoretical foundation forits cosmological realization in a forthcoming study.