To be fair, radiators in space doesn't require any new technology. It's a very well understood problem. The best method is infrared radiators. Cooling is just a function of how large the surface area of the radiators, their heat, and the cooling required.
Where I think you're correct is that typical AI data centers require a LOT of cooling, and to achieve this at scale would require enormous radiators. So large that it's hard to square the business case given current launch costs. I've read a lot of research in this space and it looks like the much more realistic use cases (at least at first) will be sub-processing. Meaning processing data already in space. These could be telemetry, Starlink, tracking, telescopes, logistics, military, GPS, weather, deep space missions, first-response, alerts, etc. In particular, applications which require lower latency.
There are also other applications which are less cost sensitive. For example, applications which might be banned on Earth, or at risk of espionage, attack, or intrusion.
If we want to make typical AI data centers in space to be economical, we need launch costs to drop to under $200/kg. Interestingly, [Starship could reduce costs down to $67/kg.] Even lower with >9 launch cycles. (https://arstechnica.com/space/2026/07/rocket-developers-used...) This would make the business case *extremely* attractive.
Great comment and I agree with all of it except you're describing an expanded starlink rather than "datacenters in space". There are definitely workloads that benefit from being in space but that's different from being an economical place to put a rack of H200s doing training or inference.
Dissipating that much heat in the first place would be a first, you also need a butt ton of power so maybe you can shade your giant radiators with giant solar panels, but all of this needs to unfold from something launch-packaged.... AND be cheaper than just plugging them in on earth.