Entropic Geometry: Resolving Cosmological Anomalies Through Finite Functional Bandwidth

We propose a novel framework, Entropic Geometry (EG), which reinterprets gravitational phenomena as the processing resistance of a finite-capacity functional manifold. By defining a universal bandwidth limit Ω and a residual trace density ρS , we demonstrate that the MOND acceleration scale a0 is a hardware-driven transition rather than an empirical fit. This framework provides a unified solution to the 1.7 s lag in GW170817, the 5σ Hubble tension, the primordial Lithium problem, and CMB hemispherical asymmetry. Numerical validation confirms that these disparate anomalies arise from the same informational processing constraint.