That might be untrue. We know that even if white holes do not exist, big bang "possibly (!= probably)" happened. Its perhaps a better idea to not view the universe in elements but a system as a whole. One part might take matter, the other might eject it. We need to find the other part. That part might be unitary elements or might not be so. Think of it like this, animals drink water from the mouth, it can leave either via urine or in a manner difficult to trace like perspiration. That perspiration can happen perhaps even close to the event horizon.No two way communication through an event horizon. Only one way - from outside to inside.
You can tie infinity to the territory (fractal-zooms structure) but not to an "inadequate" map. "Inadequate" as words may be, words are far more adequate a description, as is art and art in geometry ("infinity of the mind"), than run of the mill math when it comes to infinity. "Calculus", from what I understand, was and is based on "infinity."There are two suggested meanings of infinity, as found in dictionaries.
The first is mathematical, amounting to division by zero. This is purely imaginary or hypothetical, since, by definition, there is not enough time to recognise / count/ observe all parts. The concept of infinity cannot be proven to relate to reality.
The second is just vernacular, meaning very, very big or uncountable. A current example of this (where I live) is an advertisement which mentions infinite hair. Unlimited hair, surely, would be rather inconvenient - and how could one person have infinite hair, if one head of infinite hair (by definition one) were "all there is?
As I have stated many times "The map is not the territory" (Korzybski). At best, words can only be an inadequate representation of reality.
Cat