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Again, just to remind you, I didn’t claim space datacenters are economically rational.
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My original claim, in its entirety, was that on earth "You'll also get much better cooling for free via convection."
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You sure will. My contribution is that you don’t need much better cooling.
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The average temperature of a rock, car, or the ISS in low earth orbit is about -18C.
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It's this huge misconception that space is super cold. A better mind model is that space doesn't have much of a temperature at all just cause there's nothing there. Vacuum doesn't have a temperature.

You won't immediately freeze if you enter space without a suit. You'll die almost immediately, but it will be because your blood will begin to boil because of the lack of pressure kinda like an extreme form of divers sickness - it's just not the cold that'll get you first.

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That’s all true. But stuff in space has a temperature, and once I’d been dead a while in LEO, mine would be -18C.
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