Here is a PBS interview from a few years ago about the Many Worlds that is
very accessible to the lay reader (the Tegmark paper, not so much). It also talks about the shameful way Hugh Everett, who first mooted Many Worlds, was treated by some of the founders of original Copenhagen QM and their acolytes -- Einstein not among them, because he, alas, had died two years before Everett unveiled his theory which restored everything to 'QM that Einstein protested was lacking in it: determinism, realism, localism and no
spooky action at a distance. Einstein opposed Copenhagen because, of course, Copenhagen is
ridiculous. It's worse than magic or saying "God did it."' It is true that Copenhagen successfully "models" the world, in such a way that useful predictions can be made and we can build televisions (which depend on QM to work. So does your computer)
This only goes to show that science is not (necessarily) about finding out the truth of the world, but only in making sucessful predictions that are instrumentally useful. Einstein, though, because he was a classical natural philosopher and not just a "shut up and calculate" modern scientist, wanted to find out how the world
really was. He died two years before he would have gotten his answer from Everett.
ETA: of course, that is only in
this branch he died before Everett unveiled MW.
In others he lived and remarked upon it. But then again, Mitt Romney was elected last week somewhere on the wave function, and somewhere else Hitler won the war.