Gravitation as a Density-Gradient Effect in a Universal Dark Medium

This work presents a theoretical framework in which gravitation is interpreted as an emergent effect arising from density gradients in a universal background medium. The approach departs from purely geometric interpretations by modeling the vacuum as a physical, continuous substrate whose local properties are modified by mass-energy. A coupled density–potential formulation (the Shanyia Golden Equation) is introduced, yielding a finite-center gravitational potential compatible with quantum mechanical wave dynamics. In the weak-field regime, the framework reproduces classical and relativistic gravitational predictions, as illustrated through numerical comparison with the Earth–International Space Station system. The present publication is intended as a foundational theoretical contribution and a citable reference for further analytical and experimental investigation