Unified J Framework: An Informational Tensor Extension to Gravitational Dynamics (Version 2)

This research presents the Unified J Framework, a theoretical extension to gravitational dynamics proposing that spacetime curvature is influenced not only by instantaneous mass-energy distributions, but also by the accumulated informational structure and thermodynamic history of astrophysical systems. The model introduces a covariant informational tensor J_μν into the Einstein field equations, encoding the long-term dynamical and entropic evolution of cosmic structures. The framework explores modified gravitational dynamics, galactic rotation curves, cosmological evolution, black hole entropy, and emergent spacetime geometry through an information-based interpretation of gravity. Preliminary parameter estimation yields a dimensionless coupling α ~ 2.4 × 10⁻⁴, confirming the J-tensor as a physically meaningful perturbative correction to General Relativity. The study provides explicit falsification criteria and a roadmap for observational validation against the SPARC galaxy dataset.