That's a bit of a strange perspective: 1. We have some ideas. 2. Those ideas can't possibly be correct, because quantum gravity can't quite fit in. 3. Suppos

That's a bit of a strange perspective: 1. We have some ideas. 2. Those ideas can't possibly be correct, because quantum gravity can't quite fit in. 3. Suppose anyway that the ideas are good enough; look at this cool equation. 4. Yeah, it doesn't... technically...converge, but the first few terms are pretty good. Your comment about not knowing things in the limit yet makes perfect sense, but the motivating argument for that math in the first place is limiting behavior. It makes a ton of sense that none of these ideas converge, but it's peculiar that some of them are basically right for small terms when they're created from a foundation of convergence.