It will be easier to create artificial "habitats" (hollow spheres that orbit the sun and serve as "planets") than transform a planet like Mars. Mars is much smaller than Earth and it has a much weaker gravitation. Furthermore we need technologies we have not discovered yet for both of these solutions. If we build "habitats" that orbit the sun like Earth does we could make them more Earth-like. The material for the habitats will have to come from the Kuiper belt. All stars in our vicinity have such Kuiper belts around them - ours is approximately 2 lightyears away from the Sun - as is Alpha Centauri's. The Asteroid belt is nearer but is too small in terms of what it holds as material. The Kuiper belt has enough material.
Few points...
1. The Kuiper belt is a belt of icy bodies 30AU to 55AU away from the sun. It is not 2 light years away (a light year is ~63,000 AU) You're probably thinking the Oort Cloud which some have speculated is that far out; I should stress how speculative our understanding of the Oort Cloud is and how far it lies out.
2. Why the heck would you want a hollow sphere? Getting uniform gravitation (which you seem concerned about) on the surface would be impossible!
3. Transforming Mars has a huge advantage, notably, you have a planet to extract resources out of, instead of using hugely expensive, and time consuming importation from space (especially if you're going way the hell out to the outer solar system). It's way easier to dig then to send a vehicle out hundreds of millions of miles to rig your material to come back.
4. Everyone should keep in mind that there's lots of possibilities here that aren't being mentioned. Here's a couple:
Colonizing Mars tremendously without atmospheric transformation
Altering ourselves to require different circumstances to live (say reduced gravity environments) or even abandoning our present forms in favor of some other technology (downloading brains into computers)
It's important to remember that we are just speculating here and shouldn't give unwarranted credence to our opinions.
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However these things will only be feasable in the far future (Millennia from now). For the time being the best we can do is to preserve Earth as best as we can. And even when the habitats become feasable and actually do get made we should still preserve Earth as long as it is possible - for it is unique.
In the very long run we have several limits to overcome. Earth becoming too small is just one of those limits. Eventually the Sun will turn into a red giant and will swallow up both Mercury and Venus. By that time Earth will become uninhabitable. Much later the Milkyway and the Andromeda Galaxy will collide. But problems will arise much sooner. As yet we have not been able to create artificial isolated environments that were able to maintain a balance over more than just a few weeks. There have been experiments with isolated cupulas with plants and animals inside and none of these isolated environments managed to keep a balance over more than a few weeks. We've got a lot to learn in that respect. Mars and our Moon may serve for some scientific purposes in the future - maybe even for some limited special industrial fabrications. But they will never hold billions and billions of people. If we need a lot more space we gotta learn how to build these artificial "habitats".
The concept of those habitats is the way to go. In the extreme longrun they would make us independent of the solar system and much later even independent of the galaxy. But there's way to go before we even have the necessary technologies for the very first habitat. And without those technologies we would not be able to terraform Mars either.
A few more things:
1. When the Milky Way and Andromeda Galaxy collide (which is estimated to be around the time of the Sun's death, not much later); they're just going to make one big galaxy. It's not some sudden emergency that will render it all uninhabitable or anything. Certainly there are some dangers associated with the event, but nothing that a successful interstellar race couldn't handle.
2. I can't believe that we'd simply ignore the Moon and Mars, they're giant buffets of cheap resources! I find it goofy that we wouldn't do more with them then a couple of bases if we had advanced technology to make space habitats.
3. We've had isolated ecosystems run for decades. I don't see establishing one to be a particularly difficult problem, especially if we have humans in the mix who can help with the upkeep.
I'll get to the other posts when I get to the other posts.