HγC VIII: Void Dynamics and Structure Formation in Relational Accumulation Cosmology

We investigate structure formation in relational accumulation cosmology by focusing on the dynamics of accumulation fluctuations in underdense environments. Building on the background cosmological evolution of the accumulation field developed in earlier work, we consider a minimal fluctuation equation including baryonic sourcing, damping, and diffusion. This provides a phenomenological framework in which the growth and redistribution of accumulation fluctuations can be studied across different cosmic environments. In underdense regions, baryonic sourcing is reduced relative to the cosmic mean. We show that this leads to a systematic suppression and smoothing of accumulation fluctuations, with characteristic…