How can the results from this paper be best understood in the context of molecules? Here's a layperson sci-pop article on this as well (which is what I read). From my perspective, having studied some Biochemistry, what is interesting to me is that this result would be interpreted as the molecules "being split" on some dimension (time?) and being re-created at two different places.

I was hoping someone more well-versed in Physics could shed light on how to interpret these results.