Well, given that you're speaking to someone on the other side of the planet via the same machine you can use for research, work, entertainment, recreation, nourishment, and mindless self-indulgence, I'm more than at a loss what you could be talking about.
Science works. This epistemology has shaped every single aspect of our modern world, largely for the better, to the point where to claim otherwise is simply absurd.
And yet:
Huh.
Weird. It's almost as though the fact that we can spot a whole lot of errors and problems in research doesn't invalidate the strength of the research which does hold up, and in fact allows us to self-correct.
Of course, as is the case 9 times out of 10 this study is brought up,
you don't seem to understand it.
Oh, by the way - this failing research? It's substantially increased cancer survival rates and survival durations for almost every cancer in the last 40 years.
But ultimately, I think that explaining the paper is a bit besides the point. I could take your interpretation of it at face value, and it still would be a very weak argument. After all, if this is how badly science is working now, and it still managed to
build essentially every part of the world around us, what would happen if we got our act together? No, I'm sorry, the claim that some theoretical research does not pan out does nothing to diminish the fact that the scientific method works, works better than anything else anyone has proposed, and that as a result, your argument completely fails.
EDIT: misunderstood what you mean by falsification of natural selection. My bad. That said, if you want a criteria of falsification for natural selection: how about species evolving
away from traits that would help them survive in their environment for multiple generations (for example, bacteria becoming less resistant to antibiotics in their immediate environment)? Get this happening to a significant degree, and it would be a fairly clear falsification of natural selection.
...Of course, that doesn't happen, because mutations that negatively affect survival tend to get weeded out of the population very quickly, but the fact that a theory is not false does not mean it is not unfalsifiable.