Come on dude. You're acting like this is an impossibility and it's just an engineering problem. It's obviously possible, the question is whether it's economically viable, and we don't know the answer to that yet any more than we knew whether electric cars would catch on back in 2006. Addressing radiator surface area is trivial if you have limitless solar power. You use a heat pump, and the GPU exhaust is the COLD side. Maybe this is staged a couple times so you end up with very hot working fluid, and then that gets pumped through the radiator. Since blackbody radiation goes with the 4th power of temperature, this makes a HUGE difference. Some numbers: suppose you run GPU inlet temp at 30C and output at 60C (these are not aggressive numbers at all; with some system design you could certainly achieve 60/90). You have a heat pump that achieves this drop by heating a secondary loop from 100 to 130. Then there's a tertiary loop that goes from 170 to 200C. This is all just illustrative and we're assuming the same volume of thermal mass in each loop. The Carnot efficiency of the first stage is 10.7%, and the Carnot efficiency of the second stage is 9%. So roughly speaking in an ideal case, you'd be adding about 20% more power for each watt of heat rejected this way. In reality it would be more like 50%, since real heat pumps are nowhere near ideal efficiency; either way, this does not fundamentally change the feasibility. So, ok: we need the radiator for the tertiary loop to provide cooling equivalent to the input solar power for a 200C inlet. A flat-panel titanium/water radiator achieves about 2500 watts per square meter at 200C. High efficiency space solar achieves less than 500 watts per square meter. So with just five minutes of thinking I've already reduced the waste heat / radiator problem to require a fraction of the surface area than the input solar power would require. All of that said: Elon is doing this because it saves him a shitload of money on tax (the combined company doesn't make any profits). The space AI stuff is just an excuse. You don't randomly merge companies before you find out if there's actually any synergy in the business model. PS, fuck Elon.

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You forgot the biggest issue: cooling.  Every watt of electricity consumed by a data center gets turned into heat, so it'd need massive radiators in order to not cook the severs since vacuums are amazing insulators.

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