The Gloria Action: A Unified Informational Theory of Gravity, Dark Matter, and Dark Energy (GQI-Φ Framework)

This treatise presents the formal derivation of the Gloria Action (SG), a novel gravitational framework where spacetime geometry emerges from the computational constraints of the vacuum. By postulating that the observable universe is a finite informational manifold bounded by the holographic limit of Nₒₚₛ ≈ 10¹²² bits, we derive a self-consistent Lagrangian that unifies Einstein-Hilbert gravity with a non-linear informational scalar field (Φ). Key Scientific Breakthroughs: Resolution of the Dark Sector: We demonstrate that "Dark Matter" is an emergent effect of the non-linear "stiffness" of information flow (Galileon terms), while "Dark Energy" corresponds to the Landauer Limit of the cosmological horizon (1/RH²). Predictive Power: Using only the 10¹²² informational bound, the theory provides first-principle derivations for the Hubble Constant (H₀ ≈ 67.9 km/s/Mpc), the Cosmic Radius (RH ≈ 14.2 Gpc), and the Total Baryonic Mass (MU ≈ 2.95 × 10⁵³ kg). Empirical Validation: The derived field equations provide a theoretical basis for the Modified Newtonian Dynamics (MOND) scale (a₀ ≈ 1.2 × 10⁻¹⁰ m/s²), showing a perfect fit with the SPARC database of galactic rotation curves. The GQI-Φ framework bridges the gap between Quantum Information Theory and Macroscopic Gravitation, offering a deterministic and non-singular description of the cosmological evolution.