Universal Saturation of the Informational Vacuum Nonlinear Response, Screening, and Finite Relaxation in Gravitational Dynamics

This framework unifies the principles of Newtonian gravity and General Relativity by treating the vacuum not as an inert geometric backdrop, but as an informational substrate endowed with a finite processing capacity. Gravitation emerges as the dynamical response of this network, whose operation spans continuously from the Planck scale to cosmological dimensions. At the fundamental level, the theory is anchored to the reduced Planck mass, which sets the coupling scale of the informational network. An Einsteinian spacetime metric is retained as the geometric backbone of gravity, while a single scalar coherence field propagates on this background. Matter does not couple directly to the Einstein metric, but instead follows geodesics of a physical metric related by a conformal factor that depends on the coherence field and is explicitly tied to the Planck scale. The vacuum network itself is characterized by a fundamental capacity scale, identified as the maximal elemental coherence the vacuum can sustain. The recovery of Newtonian gravity and Einsteinian dynamics arises naturally from the excitation-dependent behavior of the network. In regimes of low informational excitation or high baryonic density, such as the Solar System, the response of the network is strictly linear. A density-driven screening mechanism renders the coherence field effectively massive, collapsing its interaction range and reproducing Newtonian gravity and General Relativity with full precision. No corrections, fine tuning, or hidden sectors are required in this regime. When the excitation of the network exceeds a critical threshold, as occurs in low-density and highly dynamical environments, the response saturates nonlinearly. In this saturation regime, gravitational information is no longer transported instantaneously. Instead, a finite relaxation time emerges as an intrinsic physical property of the vacuum itself. This delayed response lies beyond the scope of both Newtonian gravity and General Relativity and leads to measurable spatial offsets between baryonic matter and gravitational potentials. This behavior is captured by the Vallejos relaxation relation, which links the observed spatial offset between baryonic and gravitational mass distributions to the relative velocity of interacting systems through a single relaxation timescale. This relation provides a direct operational measurement of the vacuum relaxation time and constitutes a falsifiable observational signature of the finite-capacity vacuum. Version 13.1 enforces a strict ontological unification. No exotic matter components are introduced, and no additional dimensions or forces are postulated. Galactic anomalies commonly attributed to dark matter arise instead as the elastic response of the informational network under saturation. Physical reality, within this framework, emerges as a process of informational optimization, understood as the redistribution of coherence within a finite-capacity vacuum network. Under this interpretation, even the accelerated expansion of the universe acquires a new physical meaning. Rather than invoking an ad hoc cosmological constant, cosmic acceleration is interpreted as the large-scale elastic response of the informational vacuum, dynamically generating spacetime volume to avoid critical saturation of its informational density. This document constitutes Version 13.1 of the theory and establishes a definitive public record of the framework. Its assumptions are explicit, its structure internally consistent, and its predictions directly falsifiable by astrophysical and cosmological observations. Born in Argentina, Created for the Humanity.