Unified Informational Gravity: Resolving Singularities and Cosmological Dynamics via Fractal Spacetime and Entropic Information Tensors

General Relativity provides an exceptionally precise description of classical gravitation, yet it breaks down at quantum-scale boundaries, yielding mathematical singularities at black hole centers and the initial cosmic state (r → 0). Furthermore, modern galactic and cosmological observations require the addition of dark matter and dark energy—phenomena whose underlying physical mechanisms remain unconfirmed. This paper introduces Unified Informational Gravity (UIG), a theoretical framework that incorporates quantum information density and fractal scale dynamics directly into the geometry of spacetime. By modifying the standard Einstein field equations with a Fractal Informational Metric Operator I_μν(D_f) and an Entropic Stress-Energy Tensor S_μν, we establish a framework where: Spacetime geometry is intrinsically linked to information content using Landauer's principle and Shannon entropy parameters. Physical singularities are naturally bounded at Planckian scales through scale-dependent fractal dimensions (D_f ≠ 4), eliminating infinite curvature anomalies. Cosmological phenomena (dark matter and dark energy effects) emerge as natural consequences of entropic memory gradients and vacuum information pressure P_info, reducing the need for exotic non-baryonic matter. The framework is backed by three empirical and numerical pillars: (i) full tensor rank alignment and dimensional consistency (m⁻²), (ii) an automated batch optimization engine matching 5 Spitzer Photometry and Accurate Rotation Curves (SPARC) galaxies with single-digit RMS deviations (3.31–13.07 km/s) without dark matter halos, and (iii) a GW150914 matched-filter search yielding post-merger quantum horizon echoes (Δt = 12.0 ms) and a +2.57 ΔSNR signal recovery enhancement.