> The sum of this infinite series is finite, but it is still large.
Out of curiosity, if g was much greater, could it be infinite? What order of magnitude would g need to be for that to happen?
Out of curiosity, if g was much greater, could it be infinite? What order of magnitude would g need to be for that to happen?
So there's definitely a quite low maximum gravity allowing practical space access.
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)).