Modified Corrections to the Nath Ramanujan Gravitational Framework

This research develops a unified, scale-dependent effective field theory of gravity designed to resolve major anomalies in galaxy dynamics and cosmological expansion without relying on unseen dark matter particles or artificial modifications to inertia. The framework originates from a higher-dimensional warped geometry where a bulk screening field propagates across an extra dimension. Integrating out this extra-dimensional field transforms the gravitational potential through a smooth, non-local interaction kernel derived from discrete spectral summation principles. To ensure physical consistency across all scales, the model incorporates an environmental screening mechanism that suppresses non-local force enhancements in dense, high-acceleration regions such as planetary systems. At galactic and intergalactic scales, the non-local potential boost naturally accounts for flattened galaxy rotation curves and the strong gravitational binding between neighboring galaxies without requiring extended dark matter halos. Cosmologically, vacuum energy residing within the extra dimension contributes an additional expansion energy density, bridging the discrepancy between early-universe microwave background measurements and local distance observations. Near compact objects, short-distance regularizations scale dynamically to preserve event horizons and satisfy gravitational wave ringdown observations from black hole mergers. Systematic computational stress-testing confirms the theory's mathematical stability, derivative monotonicity, and physical reliability across all physical regimes.