CSP-04: Moving-Window Capture, Dissipation-Wavenumber Geometry, Escape Intervals, and UV Stock Placement

Moving-Window Capture, Dissipation-Wavenumber Geometry, Escape Intervals, and UV Stock Placement

CSP-01 reduces same-instant synchronization failure to D_win∨D_shell∨D_space; CSP-02 resolves D_space; CSP-03 proves severe global D_shell forces same-instant synchronization between mid-strain and approximate-eigenfunction action, leaving only bounded window-edge leakage and alignment defects. This round attacks D_win. Using the exact ε=1/2 Bradshaw–Grujic window construction, proves its window dominance over its own active escape interval; shows the Cheskidov–Shvydkoy dissipation wavenumber falls below the Bradshaw–Grujic upper endpoint within a fixed constant; absorbs fixed window-edge filling into a stronger standard regularity window; proves a same-instant mid-frequency synchronization theorem that does not require the mid-strain carrier itself to lie within the moving window. The global moving-window defect is therefore reduced to a shell/spatial-carrier defect, or an escape-gap time mismatch — does not exclude the escape-gap branch, does not prove singular-core/carrier alignment.