Differential Global Coherence: Intrinsic Jet Persistence, Transport Covariance, and Projection Noncreation

This paper develops Differential Global Coherence as an extension of the state-level Global Coherence framework to the persistence of spatial differential structure. Under the stated regularity and boundedness hypotheses, bounded complete-Source evolution is related to finite-time persistence of first and higher spatial Source jets. For intrinsic Source dynamics, the differential hierarchy follows from the exact tangent evolution and its higher variational equations. Positive spatial refinement supplies an additional smoothing mechanism through a parabolic maximum-principle structure. For regular material transport, the paper introduces transport-covariant Differential Global Coherence, showing that pure transport acts as geometric redistribution when measured in the naturally transported domain metric rather than as an independent source of intrinsic differential amplification. The analysis also develops fixed-Eulerian transport-stress identities, Source stress and Hodge reaction, second-order transport cancellation, comparison with primitive Source \(H^2\) persistence, finite-order projection noncreation, and persistent admissible Source lifts. The resulting framework provides an upstream differential-regularity layer connecting bounded complete-Source geometry to regular finite-order physical projections.CGI Internal ID: CGI-RSR-000042