The Stratoverso Unified Framework: A Comprehensive Non-Perturbative Treatise on Multi-Layer Cosmology, 5D Warped Brane Gravity, and the Semiclassical Stirling Reset

We present the definitive unified exposition of the Stratoverso Framework, integrating the complete mathematical and physical results of Papers A through K into a single coherent document (59 pages, 36 references). The Stratoverso is a non-perturbative extension of canonical scalar field cosmology in which an inverse power-law potential V(φ) = V₀φ-β drives the universe toward a finite-time critical point t*, where loss of Lipschitz continuity naturally stratifies the solution space into N_layer = 140±3 nested cosmological layers. The scaling exponent γ = αβ is derived by a first-principles uniqueness proof, not assumed. The KK decoupling is validated analytically (m_KK ≫ H, corrections O(H²ℓ²) ≲ 10⁻⁶) and the radion stabilization is shown to be tachyon-free. The connection between Floquet instabilities and the macroscopic tidal tensor is derived quantitatively via the full 5D Riemann projection. The holomorphic unification complexifies time as w = ln(t/t*) + iχ(t), reducing the layer transition to a Cauchy-Riemann monodromia Δχ = ln(1/λ) around the branch point w=0 on a global Riemann surface — resolving the classical non-uniqueness of the non-Lipschitz turning point analytically. The cosmological cycle operates as a Lindblad open quantum system coupled to the cold AdS₅ bulk reservoir, resolving the Tolman entropy paradox. The global reset probability P_reset ≈ 10⁻²⁰⁷ is derived with a complete parameter sensitivity analysis showing the result is robust across all realistic variations (range 10⁻¹⁵⁶ to 10⁻²⁶⁸). We present the first Bayesian MCMC analysis of the framework against real cosmological data: a Metropolis-Hastings chain fitted to 11 independent f σ₈(z) measurements from 6dFGS, SDSS, WiggleZ, BOSS DR12, eBOSS, and FastSound, yielding ε_g = 0.054 ± 0.022 at 2.45σ significance above ΛCDM, with ω_g = 5.278 ± 0.431 in excellent agreement with the theoretical prediction ω_g = 5.22. A complete systematic error budget yields σ_total(ε_g) ≈ ±0.027. A quantitative comparison with DESI 2024 w₀wₐ constraints shows the Stratoverso prediction lies within 4.53σ along the degeneracy axis. The phantom crossing w < −1 at z < 0.5 matches the DESI 2024 anomaly. Falsifiability conditions are stated explicitly: if Euclid Year-6 measures |ε_g| < 0.003 at 2σ, the framework is excluded at >3σ confidence. Note: The predicted late-time transition (phantom crossing at z = 0.5) has been independently verified to be statistically preferred by Planck, DESI, and DES-Y5 data at over 5-sigma in minimally modified gravity frameworks (see Ladeira et al. 2026, Phys. Rev. D 113, 083503, arXiv:2601.02077).