IDRP-01: Impulse Persistence, Trace Thickening, Temporal Action Packing, Moving-Window Visibility, and Recurrent Defect Normal Forms

Impulse Persistence, Trace Thickening, Temporal Action Packing, Moving-Window Visibility, and Recurrent Defect Normal Forms

DCRP Cycle VIII closed with the surviving normal form 𝒦_IDR (diffuse impulse recurrence), with branches including asymptotically propagating high-shell impulses, super-tall fresh source bursts, logarithmic weak far-field atoms, recurrent commutator defect work/microstructure, and combined invisible WORK/RES recurrence. The core new question is temporal: can every positive carrier exist only at isolated moments, keeping every spacetime budget summable? This paper first separates PERSISTENCE from BURST DEBT. Importing Barker–Prange's Type-I concentration theorem, it derives a parabolically thick critical L³ spacetime packet on every late-horizon window slice of the strong L³ Type-I branch; it proves an abstract trace-persistence-or-variation theorem, applied to a localized filtered-enstrophy balance: a filtered atom at a chosen moment either persists or pays a fixed total-variation/mechanism debt. It proves a universal energy-class temporal regularity u_t ∈ L_t^(4/3) H_x^(-1); for dyadic velocity-shell atoms, it proves a spectral-impulse-action lower bound.