Phase Topology and Gravity: Screening of the Actualization Background and Effective Geodesic Motion

In a previous work, mass was derived as a geometric property of topologically closed phase configurations (nodes) satisfying H dϕ = 2πn, yielding m = ℏ/(cR0). Here we extend the framework to account for interactions between nodes. We introduce a scalar background field ρ4(x) representing the local availability of the centripetal actualization component. Each node screens this background proportionally to its mass, creating a deficit region. The resulting inhomogeneity of ρ4 determines the effective dynamics of other nodes: they move along paths of minimal phase conflict. In the Newtonian limit, this reproduces the classical orbital equation. We derive an explicit relativistic equation of motion from phase extremality, showing that geodesic structure emerges without postulating spacetime curvature.