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Damn, Jesus Christ, this quest is high effort. I've been following along somewhat, and while I don't really have my bearings yet, I wanna weigh in and mention
One of, if not the most lucrative form of money that could be earned on the moon would be high efficiency, low power and low maintenance computing.
Using the power beaming satellites and on-ground silicon solar panels, a refinery using redox reactions and thermal gasification could refine the base materials of Aluminium, Silicon, Oxygen, Titanium, Magnesium and Iron.
From there, a mixture of human workers on-site and machine helpers could set up a production facility.
The major advantages of a data centre on the moon are that the low temperature would provide better heat management, as well as allow for high temperature superconductors such as LaNiO3 (Oxonickelates) to transport lossless power throughout the facility. Along with the lower temperature, this makes the processors somewhat more efficient.
Using the processed Aluminium, titanium and magnesium, machinery necessary for later expeditions could be manufactured on site instead of being sent via rocket, as well as the silicon and oxygen able to be turned into glass for potential 5D optical storage media, or just, you know, glass for construction and base silicon for Wafers which low gravity has been studied to improve problems with defects and impurities in.
I don't have any concrete numbers right now, but if I were to guess? You could probably run an equivalent data centre to Earth using 10% of the energy for the same amount of given processing power. That would be my biggest pitch.
