Gravity from Information: An Equation of State for Spacetime Curvature

Gravity from Information: An Equation of State for Spacetime Curvature This paper develops an informational reformulation of gravity within a causal-symmetric framework in which space, time and causal structure are emergent properties of an underlying informational medium. The local state of this medium is described by informational fields, an informational conductivity between past and future boundary conditions, the quantum state of matter and a reference equilibrium state. On this basis, the paper proposes a single organising principle: spacetime curvature is the equation of state of this informational medium. General relativity then appears as a limiting regime in which the informational state is locally homogeneous, so that the additional informational contribution to curvature can be absorbed into effective constants and the Einstein field equations are recovered exactly. Whenever informational gradients and deviations from equilibrium are significant, the theory predicts a new, covariant contribution to the gravitational field equations that cannot be mimicked by standard matter or a cosmological constant. This contribution is directly tied to relative entropy between the actual state of the universe and the reference equilibrium, so that gravitational energy becomes a Noether charge associated with emergent time and an informational free-energy density. At the cosmological level, the framework is cast into a small set of phenomenological parameters that can be constrained by observations and that naturally allow expansion–recollapse scenarios under symmetric, highly ordered initial and final boundary conditions. In strong-field regimes such as black holes, the same informational structure offers a mechanism for regularising classical singularities via finite informational cores. The result is a unified view in which gravity, thermodynamic irreversibility and informational bounds are encoded in one covariant informational law.