Discrete-to-Continuous Phase Transport Theorem

T80 establishes the discrete-to-continuous phase transport bridge for the reduced defect-sector transport operator. Starting from the near-identity transport form₏₇₀ₒ₄=I+ A+O (²), ²=-I, theorem proves that iterated discrete transport converges to continuous exponential phase evolution: ₏₇₀ₒ₄ᵏ^tA=I t + A t, =k. \ The theorem is structurally important because it provides the canonical analytic mechanism connecting discrete barrier iteration to continuous sinusoidal phase flow within the Q5 reduced transport sector. T80 strengthens the T64-T65 emergent-generator arc by showing that repeated discrete transport naturally generates a continuous unitary phase evolution governed by the same rotational generator responsible for the coarse \ (Z₈\) barrier cycle. The decomposition^tA=I t + A t diagonal retention structure from rotational pass-through structure and links directly to the extraction and admissibility framework developed in T26-T29. Status: solid for the convergence₏₇₀ₒ₄ᵏ^tA the stated assumptions and for the closed-form identity^tA=I t + A t; for the identification of the full raw barrier transport operator with the isolated phase transport sector prior to the canonical projection result deferred to T81.