perhaps use the fuel slot to put in a little nuclear fuel, which either doesn't get used, or gets used very very very slowly... cuz, after a thousand years, yer probably gonna wanna replace the fuel with fresh material...
would it be possible to have a spent-fuel slot that needs to be unloaded also?
I do like the idea of this engine, but even when dealing with nuclear fuel, there is still at least a little consumption of it.