HγC XII: Nonequilibrium Evolution of Projected Accumulation Geometry in the HγC Framework

We formulate the next dynamical step in the HγC lensing programme by developing a minimal nonequilibrium description of projected accumulation geometry in disturbed systems. Earlier work established that weak-field lensing should be interpreted not as a direct tracer of the instantaneous baryonic distribution, but as a probe of projected accumulation geometry. The natural next question is therefore how this projected geometry evolves in time when collisional gas, galaxy populations, and lensing-relevant structure do not remain pointwise coincident. In the present paper, we introduce a minimal phenomenological description of time-dependent accumulation-profile evolution and use it to clarify how projected…