Right here ε is the emissivity of the thing—how efficient it’s as a radiator (0 < ε < 1), σ is the Stefan-Boltzmann fixed, A is the floor space, and T is the temperature (in Kelvin). Since we’ve got temperature to the fourth energy, you possibly can see that hotter issues radiate a lot extra energy than cooler issues.
OK, say you need to play Crimson Lifeless Redemption in area. Your laptop is gonna get scorching—perhaps 200 F (366 Kelvin). To maintain it easy, as an instance it is a cube-shaped PC with a complete floor space of 1 sq. meter, and it is an ideal radiator (ε = 1). The thermal radiation energy would then be round 1,000 watts. In fact your laptop is not an ideal radiator, nevertheless it appears to be like such as you’d be superb. So long as the output is bigger than the enter (300 watts), it’ll settle down.
Now say you need to run some modest AI stuff. That’s a much bigger job, so let’s scale up our cubical laptop with edges twice so long as earlier than. That might make the quantity eight occasions bigger (23), so we may have eight occasions as many processors, which suggests we want eight occasions as a lot energy enter—2,400 watts. Nevertheless, the floor space is simply 4 occasions (22) bigger, so the radiative energy can be about 4,000 watts. You continue to have extra output than enter, however the hole is narrowing.
Measurement Issues
You possibly can see the place this goes. For those who hold scaling it up, the quantity grows sooner than the floor space. So the bigger your area laptop, the more durable it’s to chill. For those who had been picturing an orbiting Walmart-size construction, like the information facilities on Earth, that is simply not going to occur. It might soften.
In fact, you can add on exterior radiation panels. The Worldwide Area Station has these. How massive would they must be? Nicely, say your knowledge middle runs on 1 megawatt. (Present AI knowledge facilities on Earth use 100 to 1,000 megawatts.) Then you definitely’d want a radiating space of no less than 980 sq. meters. That is getting out of hand.
Oh, and these radiators aren’t like photo voltaic panels, linked by wires. They want methods to conduct warmth away from the processors out to the panels. The ISS pumps ammonia via a community of pipes for this. Meaning much more materials, which makes it that rather more costly to hoist into orbit.
So let’s take inventory. Regardless that we set this up with favorable assumptions, it’s not trying superb. We’re not even making an allowance for the truth that photo voltaic radiation will warmth up the pc as nicely, which would require much more cooling. Or that intense photo voltaic radiation will possible injury the electronics over time. And the way do you make repairs?
Nevertheless, one factor is evident: As a result of cooling is inefficient in area, your “knowledge middle” must be a swarm of small satellites with higher area-to-volume ratios, not just a few massive ones. That’s what most proponents, like Google’s Venture Suncatcher, at the moment are suggesting. Elon Musk’s SpaceX has already requested FCC permission to launch 1,000,000 small AI satellites into orbit.
Hmm. Low Earth orbit is already congested with 10,000 energetic satellites and a few 10,000 metric tons of area junk. The chance of collisions, perhaps even catastrophic Kessler cascades, is already actual. And we’re going so as to add 100 occasions as many satellites? All I can say is, Look out under!
So what’s the reply to our query? Theoretically, you most likely may create a computing system off-planet with a lot of small satellites, although the launch and building prices can be astronomical. Whether or not it’s a good suggestion is one other query altogether.

