Gravity as a Thermodynamic Effect: A Derivation of the Structure of Spacetime

This paper proposes a new interpretation of gravity not as a fundamental force or an active curvature of spacetime, but as an emergent phenomenon of local energy restitution. The basic principle is that any energy invested in moving a body in a gravitational field is subsequently returned by the system over time, in a coherent and thermodynamically conservative manner. Spacetime thus emerges as a functional structure necessary to guarantee such coherence. The document presents a mathematical formulation of the phenomenon, practical examples, a discussion of the role of shape, medium, and entropy in the restitution, and a proposal for deriving the gravitational constant as a coefficient of energy coherence