Rotational Activation of Spacetime: A Lagrangian Framework for Emergent Gravity

This work develops a Lagrangian formulation within the Energetic Spacetime Framework, in which spacetime is treated as a real, continuous energetic medium activated through rotational dynamics. Gravity is interpreted as an emergent phenomenon arising from rotational coupling between matter and energetic spacetime, without modifying established physical constants. The framework preserves classical and relativistic predictions while introducing small, testable rotational corrections. This formulation provides a consistent dynamical foundation for emergent gravity and opens pathways toward modified cosmological and vacuum-based extensions.