Topological Localization and Emergent Cosmological Inversion in Warped AdS5

We present exact solutions to the 5D Einstein equations for a stack of 24 codimension-1 branes in AdS5 spacetime under the stability constraint S_ab=0. Under the assumptions of this construction, finite 4D localization selects a restricted admissible class of topologies whose minimal sector corresponds to χ=48, giving N=24 branes. The inter-brane vacuum pressure satisfies Φ_n/Φ_{n-1}=φ, where φ=(1+√5)/2. The model yields a parameter-free dark energy equation of state w(t)=-1-(1/3)κ_g t with κ_g=0.00113 Gyr^{-1}. Comparison with DESI DR2 gives χ²/dof=0.43 with zero free parameters, vs 0.66 for LambdaCDM. Falsifiable predictions: Background temperature T_11=1.69K, polar inversion at w=-1.236. Validated against DESI DR2, PDG 2024, Planck 2018. All derivations from c, G, hbar, φ only. No fitting. No free parameters.