Well, prediction is very difficult, especially with respect to the future. But the fundamentals look good.
Current world marketed energy consumption is about 18 terawatts. Current mainstream solar panels are 21% efficient. At this efficiency, the terrestrial solar resource is about 37000 terawatts, 2000 times larger than the entire human economy:
~ $ units
Currency exchange rates from exchangerate-api.com (USD base) on 2024-11-25
Consumer price index data from US BLS, 2024-11-24
7290 units, 125 prefixes, 169 nonlinear units
You have: 21% solarirradiance circlearea(earthradius)
You want: TW
* 36531.475
/ 2.7373655e-05
So, once datacenters are using seven hundred thousand times more power than currently, we might need to seek power sources for them other than terrestrial solar panels running microgrids. Solar panels in space, for example.
You could be forgiven for wondering why this enormous resource has taken so long to tap into and why the power grid is still largely fossil-fuel-powered. The answer is that building fossil fuel plants only costs on the order of US$1–4 per watt (either nameplate or average), and until the last few years, solar panels cost so much more than that that even free "fuel" wasn't enough to make them economically competitive. See https://www.eia.gov/analysis/studies/powerplants/capitalcost... for example.
Today, however, solar panels cost US$0.10 per peak watt, which works out to about US$0.35 to US$1 per average watt, depending largely on latitude. This is 25% lower than the price of even a year ago and a third of the price of two years ago. https://www.solarserver.de/photovoltaik-preis-pv-modul-preis...
