If you replace math with (experimental) physics, you get an inductive framework, yet physics doesn't have the same problems psychology has.
If we could clone the participants of a psychology experiment prior to the experiment, with their memories and personalities intact, we could possibly narrow the gap. Or maybe not! But that would be a fascinating finding! ;)
This is a big difference to humanities or even biology.
I'd consider it appropriate to say that physics is indeed immune to replication crisis unless it turns out that a significant proportion (e.g. more than 5%, one order of magnitude less than for psychology) physics papers fail replication.