The Diffusive Universe: A Cyclical Model from Big Bounce to Galactic Dynamics Without Dark Components

The \( \Lambda \)CDM model's reliance on unexplained dark matter and dark energy components, constituting 95\% of the universe's energy content, points to a fundamental gap in our understanding of gravity and cosmology. This paper presents a comprehensive alternative model that integrates a quantum gravitational Big Bounce with a unified mechanism for these phenomena, eliminating the need for dark entities. We propose that the gravitational collapse of a previous cosmic phase culminates in the formation of a structured core of exotic matter, avoiding the initial singularity. The rebound of this core releases a finite energy budget. This energy constitutes a \( \textbf{surplus} \) that is injected into and superimposes onto a pre-existing vibrational fabric of space—a fundamental energy lattice. This injection modifies the local metric, and the diffusion of this surplus energy creates a pervasive energy density field, \( \rho_{\text{diff}} \). We demonstrate that its profile \( \rho_{\text{diff}}(r) \propto 1/r \) naturally produces flat galactic rotation curves through the constitutive law \( a(r) \propto |\nabla \rho(r)| / \rho(r) \), providing a physical foundation for Modified Newtonian Dynamics (MOND). Furthermore, the recent acceleration of cosmic expansion is explained by the condensation of low-energy neutrinos in cosmological voids. This model replaces the dual dark matter and dark energy paradigm with a single, cyclical process of energy injection and diffusion into a dynamic spatial medium, offering a physical alternative to \( \Lambda \)CDM that is free of singularities and ad hoc components.