15:24: ... energy. If you just consider the positive effect of gravity, then the spatial geometry dictates the final fate. But dark energy screws everything up. The ...
2016-04-20: Why the Universe Needs Dark Energy
02:53: But the spatial geometry of the universe at a fixed instant in time can be flat or curved.
03:05: "k equals plus 1" means the universe has a positive-curvature spatial geometry.