The only thing you can do with true waste heat on the scale of earth is to radiate it into space.
You might want to look into eg https://en.wikipedia.org/wiki/Second_law_of_thermodynamics
Do you know how the Carnot cycle works, and more importantly, why no process to generate electricity from heat can be more efficient?
> If you’re generating energy at a rate greater than you have a use for,
Huh? Why would anyone do this? Just turn off the excess capacity.
(Do keep in mind that when we produce electricity, we necessarily have waste heat. That waste heat has energy, but it's not energy we can use.)
Any kind of heat engine essentially works like a water wheel: you take heat from a high temperature source (water from a source at big height), you send it through your apparatus, and out comes heat at a lower temperature (water at a lower height) on one side, and some electricity on the other.
> ... then you want to radiate it back into space, yes. Neutron beams would be a cool, perhaps fanciful yet potentially practical way of doing that in a concentrated manner.
Huh? If you can concentrate the waste energy, it's not waste heat. You'd want to use it instead of just bleeding it into space. Do you understand that?
You'd use that concentrated form to run another engine.
What makes you think so? What growth rates are you assuming? How long is your time horizon?