A Common-Mode Shield for Live Admission in Delayed Open Priority Networks

Abstract

A standard live admission can pull every incumbent by a distance proportional to a newcomer's initial separation, despite physical continuity at the event. We give a separate admission law that projects the complete residual table onto incumbent-centered and newcomer-tracking components. The newcomer's physical residual cancels exactly from incumbent feedback while its priority row participates in the actual delayed network. Under the parent paper's coherent-history and small-age assumptions, incumbent common translation obeys its pre-admission free-mode equation, the newcomer approaches the prescribed offset geometry, and a later history-gated switch recovers the ordinary full-cohort dynamics. The incumbent displacement and final common-mode seam have bounds independent of the newcomer's initial absolute distance, although capture time and newcomer actuation do not. We retain the parent disturbance-recovery theorem and the existing membership and delayed-priority results as dependencies, rather than reproving them.