Diffeomorphism-Invariant Bilocal Gravity for Future–Mass Projection (FMP): Noether Conservation, PPN/Poisson Limits, and Observational Touchstones

We formulate a covariant, bilocal action for the Future– Mass Projection (FMP) framework, in which the baryonic energy–momentum tensor couples to its own future worldline neighborhood via a causal bitensor kernel. From diffeomorphism invariance of the nonlocal action we obtain the Noether identity ∇μTμν eff = 0 with Tμν eff = Tμν b +Tμν FMP. In the Minkowski limit we derive the conserved Noether charges (energy, linear and angular momentum), establish energy positivity under a positivetype kernel, and connect to the Newton/Poisson regime where the effective density ρeff = ρb + ρF sources the potential. We outline Parameterized Post-Newtonian (PPN) consistency conditions, provide a practical diagnostics checklist for simulations, and situate FMP among nonlocal gravity approaches developed for late-time cosmology and galaxy dynamics. An accompanying literature review summarizes Noether theory in GR, nonlocal Lagrangian symmetries, bitensor technology, precision tests (Cassini, LLR) and data anchors (Planck CMB, DESI BAO, Euclid, SPARC).