Earlier quoted context omitted.
I'm on it. I've placed a broken egg on my table. I'll let you know the results.
It's been 6 days - how's your egg doing? :)
At one point a breeze did blow two pieces of shell closer to one another, but beyond that entropy has appeared to increase quite a bit. At this point my highest hopes are that the mold growing on it will evolve into an intelligent species capable of manually reconstructing the egg.