A Tensorial Saturation Constraint in Relativistic Gravitation

Classical solutions of General Relativity admit spacetime singularities characterized by divergent curvature and unbounded tidal response. In earlier work, gravitational saturation was introduced through physically motivated spacetime inflow bounds and a pressure based Mass Energy Density axis. In this paper we present a minimal covariant formulation that enforces saturation directly at the tensorial level. A single invariant saturation condition is imposed on the squared norm of the four acceleration field, regulating gravitational response without modifying the Einstein field equations. We show that this condition simultaneously bounds time dilation, spatial deformation, and tidal forces, eliminates singular behavior, and preserves the equivalence principle and all experimentally tested predictions of General Relativity.