A continuous simulation of a finite collection of objects is absolutely possible (even computably so). In general, I don't find this breed of arguments convinci

A continuous simulation of a finite collection of objects is absolutely possible (even computably so). In general, I don't find this breed of arguments convincing: even if you found a feature X of the universe which simulation isn't computably possible, you could imagine a Turing machine augmented with an oracle that makes use of X to simulate the effects of X itself. It's really unclear how you can turn "we live in a simulation" into a testable prediction.