Shadow Gravity in Basic Ontodynamics Screening of the Global 4-Flow, Stasis Depth, and the Einstein Limit

This paper concludes a sequence of works that together construct the physical sector of Basic Ontodynamics. Earlier papers established the ontological primitives of metamonism, introduced regime fields and the global actualization flow, defined the Coherent Activation (CoAct) mechanism for stable objects, and derived quantum and gauge structures from coherence geometry. The present work closes the program by providing the gravitational sector. We propose a transport-based origin of gravitation in which attraction arises as a deficit of a conserved global actualization flow Jμ 4 . Localized 567-regimes sustaining coherent structures partially screen this flow. Screening is described by an optical depth τ producing exponential attenuation Jeff 4 = J4e−τ . A key structural result is that the inverse-square law follows directly from the asymptotic behavior τ ∼ 1/r, since ∇τ ∼ 1/r2. We derive a divergence-form transport equation for τ from flow conservation and a local sink condition, and show that in the static isotropic limit it reduces to a Poisson equation. The resulting solution τ (r) ∝ Q/r produces Newtonian attraction. Inertial mass appears independently as the stasis-depth functional m = ∫ D(Ψ) d3x. When the screening susceptibility χ(Ψ) and the stasis density share the same weak-coherence expansion, the screening charge becomes proportional to inertial mass, providing a structural origin of the equivalence principle. A minimal constrained variational principle for the flow sector is introduced, and we show how the static weak-field Einstein equation G00 = 8πGT00 emerges as an effective macroscopic encoding of the Poisson sector. The full covariant Einstein completion is identified as a structured open problem. Together with the preceding works, this result completes the ontodynamic construction in which matter, quantum fields, gauge interactions, and gravitation emerge from a single source: the dynamics of regime configurations and their coherence.