Conditional E7–E6–E3 Bridge Certification for Cutoff-Regularized BBGKY Cascades

This preprint develops a conditional bridge-certification theorem for cutoff-regularized BBGKY cascade residuals. It couples a higher-correlation cascade input, a projected depolarizing attenuation channel, and an observation-dual comparison framework. The result is a static bridge certificate and a conditional dynamic-budget interface. No cutoff-free Coulomb closure, trace-norm propagation of chaos, or derived dynamic-budget theorem is claimed.