which came first: the universe, or the particle of infinite energy?
I'm assuming you're talking about the big bang. It didn't really start with a "particle of infinite energy"; it was more like a singularity of infinite potential. And because the big bang not only gave us the universe, but time as well, the latter would probably be technically right. However, it depends on your view of the genesis of the big bang. Some cosmologists would say that a
universe came first, if not necessarily our
universe. Also, that starts becoming less of a thought experiment 'puzzle', and more of a philosophical or scientific question.