How could we create a pressure bubble on Mars without walls?
Thinking of terraforming a localized region, how (if possible) can we create an artificial high pressure zone, whether practical or not,
Initially I thought, perhaps we can arrange heatsinks to induce a pressure trap heated with laser arrays closer to the Sun. Perhaps a tunable cyclonic system or harmonic heat waves along the equator creating an interference pattern focused toward one region. I am unsure about the merits and feasibility of different methods.
This is for a video game, so does not need to be scientifically plausible given our technology and resources, though of course it is encouraged.
Certainly there will be gas lost. In the game Mars has a ring system with any desired ices/minerals designed by tractoring astroids into collisions. And the handy space elevator is available so you don't need to worry about supplies unless you want to.
Part of the larger idea is that if you can sustainably terraform a small open area, leaked gas will passively pressurize the planet in the long run.
UPDATE
I find all the answers gave me good feedback and could have a place in the game setting. I've choosen Loren Pechtel's answer because
- most detail, effort and thought out specs
- not as plausible as subterranean areas but gives an open-air solution thats scientifically feasible-esque
- massively deforming mars's shape gives me some global-scale plot devices to work with
I am considering combining Loren's answer with the small neutron star and gravity tech from axsvl77's answer to reduce the size requirements and retain yet another plot device.
Finally I thought, early martian colonies will likely be subterranean due to practicality. Considering Fayth85's answer, we can have a small established underground culture have conflict with the newly formed surface culture. Perhaps different cultural movements between the time early and later technologies formed cause still greater differences.
Thanks for all the feedback!
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