I think naive approaches to digital physics have been inadequate, but newer works have made good progress on important questions. Arguably one of the biggest to

I think naive approaches to digital physics have been inadequate, but newer works have made good progress on important questions. Arguably one of the biggest tools in the physicists' toolbox are symmetries, and there's now a good account for those: A Noether Theorem for discrete Covariant Mechanics, https://arxiv.org/abs/1902.08997 https://arxiv.org/abs/1902.08997