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DanArmak comments on Crazy Global Warming Solution Ideas - Less Wrong Discussion
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Allow me to draw your attention to the first word in the title of the thing we're commenting on.
Yes, I think they would need to conduct well. I don't think they'd need to be superconductors. I have made no attempt to do the calculations that would be needed to figure out what would actually be needed.
But are you thinking about direct radiation at the upper end, or evaporating water into outer space with Earth-escape velocity, or something else? See also my other comment.
I was thinking direct radiation, and assuming that either (1) they go deep as well as high, cooling down the magma or something, or (2) we plug them into some kind of huge mesh of highly-heat-conductive stuff all over the earth, or most likely (3) we just let the wind do its job: if some region is being cooled relative to the surrounding region, you'll get winds blowing that will equalize the temperature somewhat.
But, once again: crazy ideas.