Oh sure. I regard the above purely as a mathematical curiosity.
It doesn’t provide exponential growth for very long, because the people at the frontier of this expanding hyperbolic sphere would reach the heat death of the universe alarmingly soon. At least, I think that’s what would happen, assuming the universe will end in a heat death (as opposed to a Big Rip or Big Crunch).
ETA: Actually, that only defeats the ‘exponential growth in a Euclidean space’ scenario. But still, I agree that we can’t blithely assume current physics.
Oh sure. I regard the above purely as a mathematical curiosity.
It doesn’t provide exponential growth for very long, because the people at the frontier of this expanding hyperbolic sphere would reach the heat death of the universe alarmingly soon. At least, I think that’s what would happen, assuming the universe will end in a heat death (as opposed to a Big Rip or Big Crunch).
ETA: Actually, that only defeats the ‘exponential growth in a Euclidean space’ scenario. But still, I agree that we can’t blithely assume current physics.