Right but they get all that energy from atom to energy conversion. The starships get that from antimatter reactors but I’m pretty certain that planet-based installations probably just put a bunch of trees and gravel in as base material, convert that to energy and then convert that back into useful atoms.
If you can do matter conversion, then power generation is almost certainly trivially easy.
The transports don’t use antimatter. And too much or is just used for power generation the transport has just run on that power.