Unfortunately computers generate heat, so while Elon can build a business running on hot air on earth, he will not be able to do so in space.
Under rated comment. May be legendary some day.
This is very far from an obstacle, space-functional radiators and thermal management systems do exist.
Radiative heat transfer exists in space. In fact, it works quite well for cooling as long as you’re in the shade.
Are we to assume that nobody at the company who had launched more satellites than the rest of the planet combined is aware of this problem?