Well it seems that some people in the 40's aren't so clever

I'll explain this ALL OVER again.

There are two possibilites as I see it.

The first one is that there's not a "first time" per se. The second one is that in fact, as you claim, there's a first time in everything, meaning, a first time they sent you back, a first time you bury a message after ariiving, and so on...

Even when we can consider the second alternative, a loop will happen with a high grade of probability.

Let's asume there is a first time they sent you back. After you arrive, you do as instructed and you bury a message. What's the purpose of that message, according to you? To let the scientists know in some point in 2040 (or maybe some time before) that the experiment was succesful. Whatever it is, after the times passes from now until 2040, they will uncover that message, I mean, that's why you was instructed in first place isn't?

Then, the loop starts. How? Well, it's simple. When 2040 arrives, "you" (I mean, the one who is a baby now) will be choosed to participate in this experiment and will be sent back in time to 2010. Now, after you arrives (again) and if you procede as was instructed, you'll post "here", will bury the message (also again) and everything will happen more or less in the same way. Now, can you see the loop now?

Now think on this: There are two possibilites, one is that it's indeed the "first" time (I don't think "Time" works that way, but just to follow your theory) and the other one is that it's just a random event in the INFINITE loop that comes after the "first" time.

So, why your scientists assumed, since they didn't bother to search your buried message before sending you back, that this was the first time, when ALL the odds indicate that there is an extremely HIGH probability that it's not a "first" time but that this event happened in fact several times "before"? I mean you know what INFINITE means isn't?

Are you getting this, where your story flaw is? Are you going to apologize for this hoax now?