Power and heat radiation are the solved problems at scale in LEO. 50+% of solar energy is attenuated by the atmosphere, so panels can be huge and thin and flimsy in zero-G and get twice as much power as on the ground. Space-Based solar power plants are being actively explored by the US, UK, Chna, and Japan. The real hitch is how to send the power to the ground via microwave without also needing a receiver 20+ km across that lightly crisps birds flying above it.
If the thing that needs the power is in orbit already, all you're doing is sending data, something Starlink already has figured out.
The impractical part is shielding, maintenance, and a modular design that can be remotely maintained from the ground. When you're already running a high-cadence launch schedule, those costs and issues narrow, and you can swap out a component within days.
Again, it makes sense on paper. It might not be more practical than a data center on the ground, but there would be trade-offs.
What’s the practical solution to heat radiation that doesn’t require running your chips at infeasible temperatures?
Even if all the technical issues can be worked out, which I doubt, the incentives are there to pump as many as possible up there. I don’t think we want to live with that raining down on us all.