DAS×STV Work XIX: Quantum Gravity in DAS Geometry — Spacetime as the Wall of a Four-Dimensional Sphere, Eversion Quantization and Einstein's Equations

Nineteenth work in the DAS×STV (Dynamic Abstract Spheres × Spherical Time Hypothesis) series. Develops a theory of quantum gravity in DAS geometry, building on the founding idea of the series: spacetime is the wall of a four-dimensional sphere S⁴(R,ρ) of finite thickness ρ > 0. An extended Einstein–Hilbert action is introduced with a DAS stabilizing term (G·Λ)/ρ and a quantum correction ρ·R². The eversion path integral is shown to be absolutely convergent. Ultraviolet divergences are absent due to the minimum wall thickness ρ ≥ ℓ_P (Planck length). Classical Einstein equations are recovered as the classical limit ρ → 0. The theory predicts quantization of area (A_min = 4πℓ²_P), existence of a minimum length, and resolution of black hole singularities via the eversion mechanism, providing a natural resolution of Hawking's information paradox. Bilingual publication (Russian and English).