The thing is, fully autonomous AIs will most likely be tested on a simulated world (maybe at a smaller scale) before they have any kind of real world influence.

The thing is, fully autonomous AIs will most likely be tested on a simulated world (maybe at a smaller scale) before they have any kind of real world influence. Real world resources are finite, and real world processes with real world materials take a certain finite amount of time. The singularity therefore ignores the realities of physics. It would even be possible to add artificial constraints on the total resource use and rate of resource use.