HγC VII: Cosmology of the Relational Accumulation Field: Saturation Dynamics and Cosmic Acceleration

We present a minimal cosmological extension of relational accumulation gravity in which the large-scale expansion of the Universe is described in terms of a coarse-grained relational accumulation field. In this framework, gravitational phenomena are treated as emergent consequences of accumulated relational informational traces associated with baryonic interactions, rather than as direct evidence for an independent dark sector. We decompose the accumulation field into a cosmic mean component and spatial fluctuations, A(x, t) = Ā(t) + δA(x, t), and consider a minimal background model in which the mean accumulation fraction grows and gradually approaches saturation. As the accumulation sector nears saturation,…