NSk--Gravity Emergent Gravity, Stabilising Drift, and Source Reconstruction in the NSk/ψ program

We develop NSk--Gravity, the gravitational module of the NSk/ψ program, in which gravity is derived as an emergent stabilising drift on a partition lattice rather than introduced as an independently postulated field. The construction is finite and graph-theoretic: mass is transported towards higher values of the existence density P, and the canonical gravitational field is defined by g = -∇G P on the associated neighbourhood graph. The module provides a self-contained deductive core. PRE-PURE introduces the partition lattice and coarse-graining framework; PURE defines the canonical gravitational field and graph-Poisson apparatus; CORE-A establishes the stabilising drift operator and monotonicity; CORE-B develops the self-consistent Poisson variant; CORE-C provides the admissibility gate and multiscale certificate. For the canonical H1 realisation on the helical q3D torus, we derive a Newtonian theorem package, including the Green-function asymptotics 1/ (4πr), the inverse-square law after source normalisation, and the effective Newton constant GNSk. We also formulate a weak-field Einsteinian bridge in the EXT layer, yielding gravitational time dilation, frequency redshift, and the metric coefficient g₀0, with proofs conditional on contracts imported from NSk--Einstein. Full general relativity is not part of the deductive core.