LUFT Gravity I: Static Φ-Monopoles, the Newtonian Limit, and Emergent Geometry Validation

This paper develops the gravitational sector of the Λ-Convergence Unified Field Theory (LUFT) and shows that Newtonian gravity is recovered exactly in the static, nonrelativistic limit without postulating spacetime geometry or fundamental gravitational constants. Gravity arises from the LUFT information–curvature scalar field Φ, whose Poisson-type equation yields static Φ-monopoles as gravitating sources. A single fundamental coupling parameter β determines both the effective gravitational constant and inertial response in a non-circular manner. A complete dimensional analysis is provided, the physical meaning of the Φ-induced effective mass shift is clarified, and the gravitational potential is identified as the zero-frequency projection of the underlying LUFT ν-field. Consistency with current experimental bounds, including Lunar Laser Ranging constraints, is demonstrated. A discrete validation framework derived from the underlying Informational Field Theory introduces falsifiable geometric observables based on geodesic focusing. This work establishes the Newtonian limit of LUFT and provides the foundation for post-Newtonian and dynamical extensions.*This is V2