DCRP83/X72R66: Subfilter Trace Re-Rooting and the Parabolic Atom Trichotomy

Continuing from the single new gap Θ_tr,n→∞ singled out by DCRP82, this round tests whether trace blow-up can genuinely force a finer transverse scale and produce a same-type Navier–Stokes descendant. It proves that a quantified subfilter scale δ/ℓ≲Θ_tr^{-1/4} can indeed be extracted, but that direct re-rooting is NO-GO (Theorem D83.3): it causes the filter ratio ℓ/δ to diverge rather than being preserved, and uniform mass diffusion is also too weak to produce a strong descendant because it is short one power of the parabolic scale (a second NO-GO). This establishes the exact trichotomy R_tr⟹R_ratio∨R_atom∨R_mult (aspect-ratio escape, matched-quota line atom, or divergent carrier multiplicity), producing no fifth new mechanism. The strongest surviving branch is the matched atom R_atom, left for DCRP84 to test whether an infinite nested cascade of matched atoms can survive under the native Morrey energy and diffusion cost.