CSP-02: Spatial-Atom Equivalence, Type-I Enstrophy-Core UV Extraction, and Parabolic Packing

Spatial-Atom Equivalence, Type-I Enstrophy-Core UV Extraction, and Parabolic Packing

CSP-01 proves a same-instant synchronization proposition: whenever a mid-strain UV spike has all three of moving-window capture, non-atomized dyadic carrier shell, and wavelength-cell spatial concentration, then Φ_(1/2)(t)⁴≳χ²η²σ²g(t)². The remaining synchronization defect is D_win∨D_shell∨D_space. This round attacks the spatial branch: proves a two-way equivalence between wavelength-cell vorticity atomization and scaled dyadic velocity L^∞ amplitude; proves a Type-I singular-core UV vorticity extraction theorem from Barker–Prange enstrophy concentration and Lorentz–Bernstein bounds; derives a parabolic-packing inequality; reduces Type-I spatial synchronization failure to core–window mismatch, core-shell atomization, or super-parabolic micro-packing. Does not prove these defects are impossible, does not equate the core vorticity carrier with the mid-strain carrier.