MGA Cosmology: Matrioshka-Genesis-Accretion Framework

This paper presents the Matrioshka-Genesis-Accretion (MGA) Framework, a novel cosmological model that proposes a unified solution to the causal circularity in nested-universe theories. By integrating Einstein-Cartan gravity with dynamical dark energy, the MGA framework derives an explicit equation of state $w(t)$ through a dilatonic boundary field formalism. The model demonstrates that the interaction between black hole surface gravity and the surrounding interfacial energy density is consistent with current observational bounds. This preprint establishes the mathematical foundation for MGA Cosmology and explores its implications for primordial nucleosynthesis and the dark sector.