Future–Mass Projection Gravity: A Divergence-Free Bitensor Kernel, Metric PPN to <em>O</em>(<em>v</em>²), Uniform Tail Bounds, and a Reproducible Cosmology/Galaxy Pipeline

We present a complete revision of the Future–Mass Projection (FMP) framework, in which present–day gravitational fields respond to baryons plus a future–weighted projection of baryonic configurations. Three showstoppers from earlier versions are resolved here. (i) We replace the isotropic “projector×scalar” kernel by an explicit, divergence–free, parallel–propagator bitensor that satisfies the bi–conservation constraint at both points, thereby restoring Noether conservation and energy safety. (ii) We derive the PPN parameters γ, β and the Shapiro delay/light deflection at O(v2) directly from the bilocal action, obtaining γ = 1 and β = 1 + O(ϵ2 SS) with ϵSS≪1 controlled by a small–scale filter, and we give quantitative Solar–System bounds including ˙G /G. (iii) We promote the finite–horizon axiom A1′ to a uniform tail theorem with explicit truncation scale ΔT and discuss its physics (Gyr windows). We further (iv) define a no–double–counting renormalization that cleanly separates the homogeneous R(H) background from perturbative response (μ, Σ) and (v) provide a minimal, working CLASS patch, CSV schemas, and analysis checklists (SPARC subset; a Bullet–cluster test plan with/without slip). This renders FMP falsifiable across CMB/growth/lensing and galaxy dynamics while remaining Solar–System safe.