The answer is simple. Just pump sea water from the warm coastal rim to the cold interior of Antarctica. I'd go nuclear plant for the pumps, but there is a lot of wind energy from the cold winds blowing down to lower elevation.
Now the bad news: you only need about 362 km^3 of water pumped for each mm of sea level rise.
http://www.antarcticglaciers.org/glacie ... evel-rise/
Sarcastic? Not really. Impractical, most likely. But Elon might make it work, if you tell him Bezos is ahead of him in trying it.
(Fixed link, and added gripe about cm's. Inches, feet, or proper MKS SI units please)
So... that's around 21 million cubic kilometers of liquid water for the entire Antarctic ice sheet, or
1000 times the entire volume of the Great Lakes. Nearly 60 meters of sea level rise would, of course, cause almost incalculably expensive and deadly levels of destruction and migration. I'm going to go ahead and posit that we won't figure out how to do the first before the second one wipes out civilization.
We're in stupidly dangerous territory here - we've basically locked in enough global temperature rise that there are only two paths: total and immediate stoppage of all human industry (lol, no), or flooring it with the hope that we figure out how to produce enough sustainable energy that we can rapidly decarbonize the atmosphere by the time the millennial generation hits retirement age.
I don't know where to start on the math, but I suspect that the energy requirements for moving that volume of water in a useful timeframe is probably going to be a significant multiple of total current global energy production. I mean, we could perhaps design nuclear weapons of sufficient power to vaporize a whole lot of water, but I don't think we need continent-sized typhoons and hurricanes swirling about. Although that
is a super fascinating world to envision...
I suppose this is another reason to get serious about building a human settlement on Mars. Not just for species redundancy, but because our efforts to transform the radically different environment might just end up being the key to figuring out how to reverse some of the more severe damage we're inflicting here.
