I'll take an out-of-the-box view of this question to hopefully provide an interesting perspective to the question. There is actually a great example of this in modern life here on Earth in the theory of a multiverse (as opposed to a single universe).
The question, "How did the universe begin?" has been one justification of a divine being for all of recorded history. It didn't start itself, and everything has a beginning, so there must be someone outside of the universe (God) who started it in motion. Modern physics cannot disprove this theory. Even the Big Bang has the question "what caused it?" "God did it" is an untestable explanation that is enough to confirm belief for many people.
However, this is a problem for people who do not believe in a divine being. People have thought up a wide range of ideas to this solution, but few hold up under investigation. Enter the multiverse. The multiverse is a relatively recent astrophysics theory that states that there are an infinite number of universes in every possible state (only some are capable of sustaining life and each can have different laws of physics). Each spontaneously pops into existence by creating equal amounts of matter and anti-matter and energy and anti-energy. Each universe is totally separate from the others, so no one in one can observe the others.
The multiverse theory (and the existence of universes that cannot support life and are not observed - only believed in) allows some people to see meaning in existence by providing an alternate hypothesis to the existence of a divine being. So in this case, a universe as described above does have "meaning."