Empirical and Mathematical Support for System-Dependent Gravitation

This paper provides empirical and mathematical support for a system-dependent formulation of gravitation in which gravitational behavior arises from selective stabilization of motion rather than from local forces or spacetime curvature alone. Building on a previously introduced selection-based framework, gravitation is interpreted as a global structural constraint acting on admissible continuations of motion. Different gravitational regimes — including orbital dynamics and galactic rotation — emerge from differences in system organization rather than from modifications of physical law or the introduction of additional matter components. The paper derives a set of falsifiable predictions that follow directly from the selection principle, independent of model-specific parameters. These include sensitivity to global system structure, dependence on boundary conditions, non-smooth regime transitions, anisotropic kinematic constraints without corresponding mass anisotropy, and the fundamental non-local identifiability of gravitational mechanisms. Existing observational results on galactic rotation curves are examined in light of these predictions. In particular, the coexistence of the radial acceleration relation and morphology-dependent rotation-curve shapes is shown to provide strong empirical support for a global, system-dependent interpretation of gravitation. The results suggest that gravitational causality cannot be fully reduced to local mass distributions or local force laws, and instead reflects structural persistence conditions governing which motions can remain dynamically stable within a physical system.