Emergent Einstein Gravity from Local Consistency and Continuum

I present a derivation of classical Einstein gravity from minimal structural assumptions that do not presuppose a background spacetime manifold or fundamental gravitational degrees of freedom. Physical geometry arises only as an effective continuum description of accumulated local constraints on admissible evolution. In this framework, inertial motion, free fall, and the equivalence principle follow from local consistency requirements, while the Einstein field equations emerge as the unique covariant constraint equations relating realized energy–momentum to geometric structure. The Einstein–Hilbert action is shown to arise as a global consistency functional rather than a fundamental dynamical postulate. Higher-curvature modifications are excluded by locality and consistency rather than phenomenological fine-tuning. General relativity is thus reinterpreted as a universal continuum description of constrained evolution.