Our interpretations and models of them were, but the laws remain the same, even as our mathematical approximations of them improve.

Exactly, which means how can you say whether the static laws of nature were or weren't violated when we don't know exactly what those laws are. Secondly, how could a law be violated? If it happens, then it is obviously within the laws of nature. If an unseen entity such as God makes it happen, then it is also within the laws of our environment. Under the laws of nature that we know of (or our understanding of them), almost anything is possible.