This is a fantastic analysis. I think a lot of sibling comments are missing an important point: Say we build enough solar to produce enough energy for peak demand. That’s going to end up wasting multiple HEU’s of electricity during the day (unless we build an insane number of batteries).

For reference, cities currently cover 3 500 000 km^2 of the earth. Also, solar density is still improving, and other sources of energy exist.