That effect can be simulated to an extent if there were an infinite number of universes, which is currently a speculation that's out there. If each universe is finite, but they are infinite in number, then infinite amounts of life are still possible.
Thats a different idea, and I think its way cooler than quantum mechanics dominated discrete multi-dimensional space too. But its not as cool as infinite regress, because of the vastly greater amount of life that could exist if that were true.