A Saturated Spacetime Framework: A Conceptual Extension of General Relativity

A Saturated Spacetime Framework: A Conceptual Extension of General Relativity This work presents a conservative, axiomatized extension of General Relativity in which spacetime possesses an invariant finite capacity for curvature. The framework preserves all tested predictions of GR in weak and moderate curvature regimes while modifying the deep interior behaviour of gravitational collapse. Singularities are replaced by finite saturated states without introducing exotic matter, discrete spacetime structure, or violations of covariance or local conservation laws. The framework is formulated purely in terms of curvature invariants and is intended as a geometric constraint principle rather than a complete dynamical theory. It establishes a minimal set of axioms defining admissible spacetime states, within which a wide class of effective dynamical implementations may exist. This paper serves as a foundational reference for subsequent investigations of black holes, cosmology, perturbations, compact objects, and irreversibility in bounded-curvature spacetime.