Geometry from Information: Paper 19 — The Schwarzschild–de Sitter Interpolation and the Weyl Correction Hierarchy

We establish the Weyl correction hierarchy of the Geometry from Information programme through the Schwarzschild–de Sitter family. The central result is that Lambda does not contribute to the Weyl tensor: Psi_2^SdS = -M/r^3, identical to pure Schwarzschild. Consequently beta_SdS = M^2/(60pi^2r^4), Lambda-independent. The hierarchy M=0 iff C=0 iff K_nonlocal=0 iff beta=0 is established as a five-fold equivalence. A new universality ratio for SdS is derived: beta_H/T_H^2 = (H^2r_+^2-1)^2 / 15(3H^2r_+^2-1)^2, reducing to 1/15 as H→0. The result extends to the full Kerr–Newman–de Sitter family (Corollary 6.3): beta_KNdS = beta_KN, Lambda-independent throughout.