Non-Equilibrium Holographic Brane Cosmology in AdS5: Effective Quantum-Gravitational Unification, Singularity Resolution, and Dynamical Vacuum Selection

An analytical framework of effective quantum gravity and brane cosmology is formulated that resolves the initial singularity, the non-supersymmetric vacuum energy divergence, and the loss of unitarity across cosmological horizons. The four-dimensional universe is modeled as a quasi-de Sitter 3-brane nucleated during stellar collapse in an asymptotically AdS5 bulk. By means of reduction to Type II_1 von Neumann factors, Langevin stochastic dynamics, and the exact counter-phase elastic response of the electric Weyl tensor, the finite entropy bound S_max ~ 10^122 k_B, the cosmological constant Lambda_4 ~ 10^-122 M_Pl^2, and Yang-Mills confinement with a mass gap are self-consistently derived.