Just flagging that space doesn’t solve anything—it just pushes back resource constraints a bit. Given speed-of-light constraints, we can only increase resources via space travel ~quadratically with time, which won’t keep up with either exponential or hyperbolic growth.
Thanks, this is useful to flag. As It happens I think the “hard cap” will probably be an issue first, but it’s definitely noteworthy that even if we avoid this there’s still a softer cap which has the same effect on efficiency in the long run.
Just flagging that space doesn’t solve anything—it just pushes back resource constraints a bit. Given speed-of-light constraints, we can only increase resources via space travel ~quadratically with time, which won’t keep up with either exponential or hyperbolic growth.
Why not cubically? Because the Milky Way is flat-ish?
Volume of a sphere with radius increasing at constant rate has a quadratic rate of change.
Ah yeah. Damn, I could have sworn I did the math before on this (for this exact question) but somehow forgot the result.😅
This is why you should have done physics ;)
Thanks, this is useful to flag. As It happens I think the “hard cap” will probably be an issue first, but it’s definitely noteworthy that even if we avoid this there’s still a softer cap which has the same effect on efficiency in the long run.