We should also mention Nicolas Gisin.

One of his mantras is Time is real; Real numbers are not. He conceives of real numbers resulting from processes (approximations, relaxations, computable calculations) that unfold over time. So there is a Heisenbergish uncertainty principle of observable precision and elapsed time.

Selected papers:

Indeterminism in Physics, Classical Chaos and Bohmian Mechanics. Are Real Numbers Really Real?

https://arxiv.org/pdf/1803.06824

Real Numbers are the Hidden Variables of Classical Mechanics

https://philarchive.org/rec/GISRNA

Time Really Passes, Science Can’t Deny That

https://arxiv.org/pdf/1602.01497v1

Popular articles:

Real numbers don’t cut it in the real world, this physicist argues

https://www.sciencenews.org/article/real-numbers-physics-fre...