The Informational Manifold

The Informational Manifold This paper introduces a novel covariant scalar-field framework that derives gravitational phenomena from the regulatory dynamics of an informational manifold. By treating spacetime geometry as a computational buffer responding to information-density limits, the model provides a first-principles derivation of the MOND (Modified Newtonian Dynamics) acceleration scale (a₀) and its observed cosmological evolution (a₀≈Hc). Unlike traditional modified gravity theories, this framework utilizes a non-linear kinetic structure and a density-dependent screening mechanism to recover General Relativity in high-density environments while resolving the Hubble Tension and galactic rotation anomalies. By linking the Bekenstein bound to the Tully-Fisher relation and interpreting the "Bullet Cluster" offset as a non-local informational soliton, this work offers a mathematically rigorous, unified alternative to the Dark Matter and Dark Energy paradigms, suggesting that the "Dark Sector" is an emergent artifact of informational regulation.