The Homogeneous Propagation Framework: Retardation, Cumulative Field Structure, and Rotating-Source Response

This paper develops the dynamical equation for gravity within the Homogeneous Propagation Framework by treating gravitational effects not as spacetime curvature but as physical displacement of the transport-supporting medium through which light and matter propagate. It begins from the postulate that mass-energy sources a displacement of this medium and that changes in displacement propagate causally at speed c, then builds the theory in two coupled layers — one governing ordinary matter dynamics within the transport structure, and another governing the displacement of the structure itself. The central construction is a retarded displacement map, where the field at any point is determined by the past (retarded-time) configuration of sources rather than their instantaneous positions, with a local wave-equation equivalent derived for computational use. In the static limit this recovers the framework's established equilibrium displacement geometry and cumulative 1/r field, while for moving sources it naturally incorporates finite-speed retardation effects. The paper derives an effective coordinate-level line element from the displacement postulate and shows that its weak-field orbit equation reproduces the standard Mercury perihelion precession, and it extends the framework to rotating sources via a vector displacement sector that addresses frame-dragging phenomena.