Cosmic Curvature from de Sitter Equilibrium Cosmology

I show that the de Sitter equilibrium cosmology generically predicts observable levels of curvature in the Universe today. The predicted value of the curvature, Ωₖ, depends only on the ratio of the density of nonrelativistic matter to cosmological constant density ρₘ⁰/ρ_Λ and the value of the curvature from the initial bubble that starts the inflation, ΩₖB. The result is independent of the scale of inflation, the shape of the potential during inflation, and many other details of the cosmology. Future cosmological measurements of ρₘ⁰/ρ_Λ and Ωₖ will open up a window on the very beginning of our Universe and offer an opportunity to support or falsify the de Sitter equilibrium cosmology.