The Informational Order of the Cosmos: Informational Scalar-Tensor Gravity, Environmental Screening, and the Omega State

This preprint presents a conceptual and analytical introduction to Informational Scalar-Tensor Gravity (ISTG), a gravitational framework in which spacetime geometry is non-minimally coupled to a dynamical scalar field N(x), interpreted at the effective level as a measure of informational or negentropic structure. Starting from a Jordan-frame scalar-tensor action, the work examines several limiting regimes of the theory. An environmental screening mechanism is considered as a possible route toward the recovery of General Relativity in high-density environments. In dilute galactic regions, an effectively two-dimensional long-range approximation leads to a logarithmic scalar profile and to an additional gravitational contribution that may approach an inverse-radius behavior over finite radial intervals, providing a possible framework for approximately flat galactic rotation curves. The baryonic Tully-Fisher relation is formulated as a target of the corresponding boundary-value and matching problem rather than as an already established prediction. On cosmological scales, the homogeneous informational field is investigated as a possible dynamical component of late-time cosmic evolution. An asymptotic configuration, termed the Omega State, is introduced as a prospective stationary regime in which the scalar field may behave effectively as a dark-energy-like component, provided that the corresponding background solution constitutes a stable attractor. The preprint also outlines implications for gravitational lensing, post-Newtonian consistency, cosmological structure formation, compact objects, scalarization, gravitational-wave propagation, and perturbative stability. These aspects are presented as theoretical consequences, consistency conditions, or research directions requiring dedicated quantitative analysis rather than as established empirical results. This work is intended as an introductory presentation of the ISTG framework and forms part of a broader research programme in which the conceptual foundations, mathematical structure, phenomenology, and observational consequences of the theory are developed in a subsequent series of technical papers.