Conditional Projected Bridges for Cutoff-Regularized Coulomb BBGKY Hierarchies

This preprint develops a conditional projected-channel bridge framework for cutoff-regularized Coulomb BBGKY hierarchies. The manuscript formulates a diagnostic theorem for residual closure in an observation-dual topology under explicit source, fluctuation, passive-sector, structural-remnant, and projected-channel admissibility assumptions. The work does not claim endpoint Coulomb closure, global-in-time cutoff well-posedness, or unconditional BBGKY convergence.