The Geometric Origin of Inertia and Dynamics

Spacetime is Lagrangian. Inertia is spacetime’s impedance to curvature change. Energy applied to mass—linear or rotational—induces local curvature changes, while the metric adjusts and gravitational waves carry away part of the energy. The Metric–Kinetic Equivalence, using only standard GR formalisms, expresses this fundamental connection between energy expenditure, motion, and spacetime geometry.