Primitive-Quotient Gap Packing in Native-Radix Collision Geometry: Variable-Gap Energy, Residual Blockers, and Capped Hyperbolic Kernels

We develop an arithmetic and combinatorial sequel to the structural native-radix collision theory established previously. Starting from the published primitive-quotient decomposition of genuine augmented cross edges, we prove a mesoscopic gap-or-small-packet dichotomy, radial shell localization, a second-level blocker, quadratic variable-gap energy, and prime-sensitive gap occupancy. A rigorously defined normalized double-blocker carrier is controlled by Ford's divisor-union functional at scale 1/log Y. We prove an exact quantitative pure-block/Ford domination theorem with rational Sturm certificates and an exact translation-window adjacency theorem; the concentration-weighted parent-reserve step is retained only as an explicit conditional reduction, with its missing stable coefficient/reuse hypothesis stated. For capped binary and ternary reflected kernels we remove the midpoint ambiguity of the first draft, derive exact one-dimensional q-integrals, prove infinitesimal concentration adversity, and certify Jₘ(k) > 0 for every k ≥ 40 and 0 < m ≤ 1/10 by rational inequalities and a Sturm certificate. The paper does not claim full negative-sector dominance, global U₂ asymptotic closure, Translation-Sweep Parent-Reserve Packing, the dense-prefix S₂ closure, positive-sector dominance, signed recombination, or general state-complexity extremality; instead it isolates these terminal gates while recording the exact primitive-gap, variable-gap, parent-reserve, and capped-kernel structure that precedes them.