HγC III: Dynamical Transitions Across Coarse-Graining Regimes in Emergent Gravity

We analyze the dynamical constraints governing transitions between effective gravitational descriptions in a history-based relational framework. Rather than assuming that different coarse-grained regimes can be freely interpolated, we argue that irreversible accumulation of relational history restricts the set of dynamically admissible transitions. As a consequence, formation and breakdown of effective gravitational structures are generically asymmetric, giving rise to hysteresis, irreversibility, and preferred pathways between regimes. These constraints organize gravitational phenomenology not only by scale, but by the structured connectivity of effective descriptions over time. This work characterizes the…