HγC X: Projected Accumulation Geometry and Weak-Field Lensing in the HγC Framework

We extend the HγC framework to the interpretation of weak-field lensing observables. Previous work established a minimal geometric bridge by embedding the effective accumulation potential ΦA = αA into an emergent weak-field metric, thereby providing a common description of slow massive motion and leading-order null propagation. Building on that result, we argue that weak-field lensing in the HγC framework should not be interpreted simply as a direct tracer of the instantaneous baryonic distribution, but rather as a probe of projected accumulation geometry. The central reason is that the effective gravitational response of the accumulation sector is profile-dependent. It is governed not by local baryonic source…