HγC II: Coarse-Graining as an Order Parameter for Gravitational Regimes

We introduce a coarse-graining framework in which gravitational phenomenology is organized by an effective, system-dependent parameter γ, characterizing how accumulated relational histories are integrated across scales. Rather than modifying gravitational dynamics, different observational regimes are interpreted as effective descriptions associated with distinct ranges of coarse-graining. We argue that galactic systems preferentially self-organize toward a near-critical coarse-graining regime, where accumulated histories exert a maximal but non-saturating influence on effective dynamics. In this regime, the Radial Acceleration Relation arises naturally as a robust empirical scaling behavior, while deviations…