Curvature of Spacetime as a Consequence of an Information Gradient

This paper proposes a conceptual principle linking spacetime curvature to gradients of information in the underlying degrees of freedom of space. The work explores the idea that gravity may be interpreted as an emergent macroscopic response of spacetime to variations in information density. The proposed relation between curvature and the second derivative of an information field is shown to be structurally compatible with known results from black hole thermodynamics, the holographic principle, and entropic gravity models. A heuristic derivation of the Newtonian limit is presented to demonstrate that the framework can reproduce the classical Poisson equation under appropriate assumptions. The article does not claim to present a complete theory of gravity but outlines a conceptual framework that may help clarify the relationship between spacetime geometry, information, and energy.