The ability to launch from the surface is proof of it's finiteness. As a corralary it should be finite as long as you're not inside a blackhole. It should be

The ability to launch from the surface is proof of it's finiteness. As a corralary it should be finite as long as you're not inside a blackhole. It should be asymptotic up to that point. Mathematically infinite at the horizon and then completely unbounded inside it (in the sense that it converges to infinity versus not converging at all ( see a "flat" universe versus hyperbolic)).