IDRP-02: Source-Impulse Visibility, Filtered Trace Variation, PFET Burst Coupling, Logarithmic Atom Thickening, and Moving-Window Depletion

Source-Impulse Visibility, Filtered Trace Variation, PFET Burst Coupling, Logarithmic Atom Thickening, and Moving-Window Depletion

IDRP-01 proved two starkly different temporal facts: on the strong Type-I critical branch, external concentration theory already gives a full parabolic-thickness state packet; for general energy-class spectral atoms, the universal L_t^(4/3) Ḣ_x^(-1) temporal action gives only a much sub-parabolic persistence lower bound. The missing piece is the "burst visibility problem" (BVP). This paper proves that for a filtered vorticity trace, rapid loss is not invisible at the mechanism-ledger level: it proves a filtered-mechanism burst theorem (if a chosen filtered-enstrophy atom loses a fixed amount over some window, that loss must be paid by diffusion, negative near-field stretching, far-field strain, commutator forcing, or localization); combined with DCRP's logarithmic far-field atom lower bound, it proves a full-parabolic-window-packet-or-burst theorem. It proves an abstract dual-source burst amplification theorem, applied to velocity/vorticity nonlinear forcing. It defines burst-to-defect realization (BDR) as the missing non-tautological bridge.