This preprint develops a new framework to analyze Coulomb BBGKY hierarchies, suggesting potential advancements in mathematical modeling.
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.
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Panasenko (2026) studied this question.
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