HγC IV: Emergent Gravity from Relational Accumulation: Coarse-Graining, Near-Criticality, and the Radial Acceleration Relation

We propose a minimal effective framework for emergent gravity in which gravitational acceleration is generated by spatial gradients of a coarse-grained accumulation field A(x) sourced by baryonic matter. The field A(x) represents the cumulative organization of relational structure at an effective level and provides a macroscopic description of how baryonic distributions constrain gravitational response. This effective formulation builds on the broader history-based relational framework and on the regime-level role of coarse-graining developed in earlier work. Within this framework, the radial acceleration relation observed in galaxies can be interpreted as the manifestation of a near-critical response regime…