Cosmic Acceleration and Super-Eddington Accretion as Diffusive Transport Phenomena: An Entropic Solution to Dark Energy

The standard cosmological model (ΛCDM) faces two fundamental anomalies that challenge classical hydrodynamics: the accelerated expansion of the universe (attributed to an unknown ”DarkEnergy”) and the existence of compact objects violating the Eddington limit, such as the recentdiscovery of the black hole LID-568 (accreting at 40 times its theoretical limit). In this work,we propose that both phenomena are scale-dependent manifestations of a single underlying principle: the diffusive transport of information within a 12-dimensional subspace (DQ Framework).We postulate that subspace geometry induces a variable diffusivity (∇D), generating entropicforces that modify classical pressure and gravity limits. Supported by computational simulations(PINNs) demonstrating a 58% anomalous thrust in asymmetric cavities, we extrapolate this resultto the cosmos. We demonstrate that universal acceleration does not require a cosmological constant Λ, but is the dynamic response to a temporal information capacity gradient. Furthermore,the super-accretion in LID-568 is reinterpreted not as a physical violation, but as a node of highgeometric diffusivity allowing for efficient entropy evacuation, thereby bypassing radiation pressureconstraints.