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2) Who says Earth's population will continue to grow steadily until 2200? There might be all kinds of events decreasing it. In real life or in the game's fictional history. Those 8 pop might be 8 billion people. Or 8 million. Who knows.
3) Those "Earth can support 10 billion people" estimates are pretty outdated. Earth can support a lot more people... or a lot less. Current lifestyle on Earth isn't even sustainable long-term with the people we have right now. But if humanity theoretically managed to go in the right direction a lot more than 10 billion are feasible.
You laugh, but those 1.375 billion human-sized hamster-wheels can produce a lot of power.
They represent an abstract. The UN could've controlled its population by then, who knows.
It's a game, it doesn't have to have a conversion rate to real life.
1 pop=100000
10 pop=1 billion
20 pop=10 billions
25 pop between 10-100 billions
1 energy=one ton of antimatter ;^)
more seriously one ringworld cost 110000 minerals and you consume a whole solar system to build it
so is mean it is at least 1430556211858396.5 km cubed=jupiter volume
so is mean 110000 minerals > 1430556211858396.5 km cubed
if you use dyson sphere scale it is 260000 minerals
Same for a Colony, the number needed to start a colony is far far less when you think about it from those on the initial ship as that group and even the secondary groups are meant really only to start base infrastructure and allow for a startpoint for actual Settlement.
You are aware that is a made up lie that the Earth can only support 11 billion people... The amount of food we produce now is enough food to feed the Earths population twice over, just that we waste it, more food than we eat gets dumped and rots. The entire Earth's population can also fit into Texas with everyone having a sizable house each. Like you said after, this can be explained by future space traveling humans managing food much better than we do today.
So yeah, at the moment with the way we waste foods and resources (like buying a new iphone every year for minal improvments) we can only support a max of 11 billion, but if we didn't waste then the max moves up to 20 billion or more.