Unified Framework for Cosmology: From the Cosmological Constant to Cosmic Structure

The standard LambdaCDM cosmological model successfully describes the universe's evolution but relies on the ad-hoc introduction of dark matter and dark energy, whose fundamental physical nature remains unexplained. This paper presents a unified theoretical framework, the Matrix Identity Field (MIF) theory, which resolves these foundational issues by deriving all large-scale dynamics from the intrinsic structure of the quantum vacuum. The MIF theory posits a fundamental vacuum rigidity scale, m0 ≈ 70 MeV/c^2, which is derived from established electroweak parameters (me and alpha). From this single scale, we rigorously derive two distinct, emergent mechanisms that modify gravitational dynamics: (1) a static modification of the gravitational force law in the weak-acceleration regime, characterized by a fundamental acceleration scale a0 = m0 c^3 / h-bar ≈ 3.2 x 10^-10 m/s^2, which is identified as the Modified Newtonian Dynamics (MOND) constant; and (2) a dynamic, dissipative force, termed Vacuum Friction (VF), proportional to the time derivative of acceleration (F_VF ∝ -da/dt). We demonstrate that the synergistic action of these two emergent effects provides a coherent and quantitative explanation for a wide range of astrophysical phenomena, including the magnitude of the cosmological constant, the Local Group timing argument, and the mass discrepancy in galaxy clusters. Crucially, we present a unique, testable "smoking gun" prediction for the VF mechanism in dwarf spheroidal galaxies (sigma^2 ∝ e/T_orb^2) and provide a preliminary observational test that is highly consistent with the theory. This work establishes a unified, predictive, and falsifiable paradigm that replaces the phenomenological components of LambdaCDM with a coherent physical theory rooted in the fundamental properties of the vacuum