Let’s say you need 50m^2 solar panels to run it, then just a ton of surface area to dissipate. I’d love to be proven wrong but space data centers just seem like large 2d impact targets.
So now we have arrived to a revised solution: a puny 8RU server at 130 kg, requires 100sqm and 1000 kg of solar panels, then 50-75 sqm of the heat radiators at 1000-1500 kg, then 100-200 kg of batteries and then the housing for all that stuff plus station keeping engines and propellant, motors to rotate all panels, pumps, etc. I guess at least 500kg is needed, maybe a bit less.
So now we have a 3 ton satellite, which costs to launch around 10 million dollars at an optimistic 3000/kg on F9. And that's not counting cost to manufacture the satellite and the server own cost.
I think the proposal is quite absurd with modern tech and costs.
I bet you a million dollars cash that you would not be able to reach them.
Unless you have a plan to change the laws of physics, space will always be a good insulator compared to what we have here on Earth.
No need to rewrite anything. Radiators are 30% heavier per watt than solar panels. This is far from impossible.