>The researchers emphasize that this idea, though it may sound absurd, is grounded firmly in the mathematics describing space and time. Specifically they’ve used the tools of holography to “turn the big bang into a cosmic mirage.” embedding into higher dimension spaces (or in general - into more "richer" structures) is a convenient mathematical tool and it works nice ... in mathematics. To work in physics that higher…
Ignorant question here, but is it not the case that the normal laws of physics don't apply at big bang time? Do we expect the laws of mathematics to still apply? Does anyone really have any clue about this stuff?
Granted, in some bizzaro physics 2+2 may actually equal 3, (along these lines http://lesswrong.com/lw/jr/how_to_convince_me_that_2_2_3/) but you should still be able to construct a successor function and mechanically evaluate 2+2 = 4 according to our rules, even though the answers would seem weird.
We may indeed be assuming stuff we don't know we're assuming. Still the other people would see, oh they're assuming X which is wrong. but the other people take X to be true, it all works out.