Comment Something to consider (Score 1) 113
The only way you can lose heat in space is through radiation. But radiation carries momentum. Not much per photon, but it was enough to cause the Pioneer probes to move in unexpected ways. This means you have to emit equal amounts of heat towards Earth and towards space. If your resultant is zero, then you're fine. You can even direct some of the heat backwards. It won't do a huge amount, but every bit of atmospheric drag you overcome, the less fuel you need to use to stay in orbit.
So you basically need absolutely gigantic radiators behind the space-based data centre, located inside a parabolic dish that will generate drag of its own (not to mention a potential difference betwen the lower and upper sections).
This is an insane level of complexity. You're better off parking it in a stable orbit between the Earth and the moon, so it's absolutely clear of atmospheric effects. You're still going to need radiators, but it's marginally better as you don't have to do quite so much directing of it. The latency would be horrible, maintenance would be next to impossible, and there's all kinds of other issues to consider.
No, I don't think you can make this workable.
However, space might be useful. This very same issue of heat only being radiated means that you can make wafers with much more even loss of temperature, no dust, bacteria, or dirt, and much lower gravity. If you were to make extremely high quality wafers (silicon or gallium arsonide) in space, then you should be able to make WSI processors, which should in turn reduce the demands that datacentres make.
The time it would take to set all this up would be about the same time as it took for IBM to perfect its stacked transistor topology. Intel was talking 90 cores per wafer-scale CPU a few years back - the shrinkage in transistors since then plus the x10 density IBM proposes might push you to 1800 cores per wafer, provided you can get the quality high enough. Which, in space, is quite possible.
You wouldn't need your datacentres in space. Your wafer-scale CPU plus packaging would be about the same size as a CD drive. You could pretty much dispense with datacentres at that point. A typical tower will have two spare bays. "Cartridge datacentres" could simply be plugged in as needed. A regular CPU-based cartridge for heavy general-purpose computing, a GPU-based cartridge for LLMs. Yes, home users would have power usage through the roof, but then it's no longer your problem.