There are several problems. one is that in order to produce liquid nitrogen we need energy, which produces heat. We can’t create cold, we can only move it around, and even doing that creates additional heat. So anything we do will overall create *more* heat.
But aside from that, there’s a problem of scale. Over the last couple of days alone, literally *billions* of tons of ice has melted on Greenland.
You would need *a lot* of liquid nitrogen to do anything about that.
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