Well, I think that's a problem with calling this situation "The Replication Crisis". The basic laws of physics have been verified to an extraordinary degree of accuracy on the that people deal with them daily and even at the ordinary atomic level - if anything, physics has the opposite crisis where it's theories are not fully self-consistent on every hypothetical condition but where in every condition we can produce, one or another theories works with apparently perfect precision.

"The Replication Crisis" has basically involved rather different fields - psychology and human biology/medicine most often. The crisis could be called "human and animal testing crisis" imo.

https://en.wikipedia.org/wiki/Replication_crisis

Newton would not be taken down by this experiment because Newton's laws have a known precision bound. If we did not include the precision bound in our holistic idea of "Newton's laws," they would already have been falsified by relativity and quantum mechanics. Every physical theory has a precision bound that is determined by the most precise experiment that has ever tested it.

Apologies for the delayed reply -- HN's noprocrast setting is a powerful taskmaster.

What we do is search for deviations from Newton's inverse square law. Depending upon the distance over which an experiment is performed, the ISL can be correct to a precision as high as ~10^-10 [1]. In particular, our group works to test whether the inverse-square law (or indeed gravity at all) happens as predicted at distances shorter than 100 microns [2]. It still amazes me that at distances shorter than half the diameter of a human hair, nobody has any idea whether gravity even happens.

Newton's early observations (and Kepler's) have been replicated many times -- there is no risk of a major replication-crisis upheaval there.

[1] https://arxiv.org/abs/hep-ph/0307284 (Figure 4)

[2] https://arxiv.org/abs/hep-ph/0611184