Hi, Philip:
I don't see how the Wikipedia article you mention resolves the paradox in a way that permits the universe to be infinite, but it does mention at the get-go that:
"In order to explain Olbers' paradox, it is necessary to account for the relatively low brightness of the night sky in relation to the circle of our sun. The universe is only finitely old, and stars have existed only for part of that time."
"The universe is only finitely old,"...
Did you miss this?
Actually, it looks like only one of the possible alternate explanations does not require a finite universe, but even such notables as Paul Davies has clearly set forth the resolution of Olber's Paradox for the observable universe that must be finite, even though he is also "seeking" other "universes" as well.
If there is but one universe as all sane people understand as the system of all interacting things (Since it is all, one cannot add anything to to it. Since you like math, what is the problem with "all plus one?" You'll need some logic as well.), the resolution of Olber's Paradox demonstrates that the universe is indeed finite.
And so to get around this, people start proposing such things as "degrees of reality." Now, who decides how many degrees are involved at any given time? By the bye, who determined there are only degrees? How did he or she know this? Why,...I'll bet it's just another theory without proof. Friday the 13th indeed.
As for double slit experiments, and let's add some aspects of quantum mechanics as well, I have recently joined, so to speak, the camp of Roger Penrose who recognizes the unwarranted philosophy grafted onto the imprecision of such mathematics and experiments that "appear" to demonstrate certain things that, in any event, never seem to impact the classical world in any appreciable way. Why is that? Just imagination? We can't figure it out yet, but we know it's there, kinda like the claim that one cannot define pornography, but he knows it when he sees it. Of course, we can't even see many things claimed to be there by some physicists, and these people laugh at other people who claim belief in an invisible divine being.
Isn't that interesting? If one cannot prove the existence of a divine being, but still believes in one because of observations of the ways the world works, and perhaps some sophisticated philosophical reasoning etc., that person is said to be supremely ignorant, no matter how rational he may be.
However, if one cannot prove the existence of a mathematical universe or hypothetical particle and on and on, but still believes in such things because they fit into highly speculative formulae, why that person is said to be brilliant. And in greater support of the fellow's brilliance, we must marvel at the claim that such things can never be observed. Where are your clothes, Emperor?
Ah, yes. The residents of many glass houses don't even recognize their own faith which is less rational than the faith in a divine being may be. To be sure, a finite universe points to a divine being, so for the atheist/marginal agnostic, this must be opposed by any means no matter how irrational they may be. In a roundabout way, such wasted would-be science is so silly that it makes the philosopher's God appear much more reasonable. An unintended consequence of being so radically opposed to a Divine Being (not to be confused with a fractal universe), another Tower of Babel is being constructed by various physicists who speak in "mathematical" tongues that fewer and fewer can understand because at bottom it is more gibberish.
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Now, what good is inferring any supposed reality like other universes that cannot be observed or tested? Can you appreciate the honesty of someone like Lee Smolin who laments the fact that more and more mathematical-type theories are being proposed and asked to be accepted even though they can never be scientifically tested? Indeed, no longer science, but mere fantasy and ideology wrapped in some mathematical garb.
The arrow of time? Talk about a non-existent problem. Go back to ancient philosophers for the best understanding of time as the measure of motion. Hone in on this concept: The measure of motion. Stay focused on this and do not attempt to graft anything else onto it. This takes away all problems and fantasies regarding going backwards or sidewise. And if you possess a most sophisticated and rational understanding of relativity, you will realize that it is a most absolutist theory of reality despite the misnomer that allows people to falsely rationalize. But here's the key: the event is real no matter who or what perceives it and when. The event is real and absolute.
Enough for now, and take heart if the above is a bit too much common sense for you to handle. Why,... in an alternate universe, you are quite a rational fellow,...only you'll never be able to interact with him, so you may be doomed to be locked in your foam forever. Ha, Ha!
Good luck!
Mike Archer