... as things stand the calculations point to something outside the natural.
No, they point to something that
isn't true. As he points out:
Experimenters never measure an infinite amount of anything. Dials never spin around to infinity. Meters never reach infinity.
Now he doesn't just say that the combination of QM and GR only yield infinity when applied to things that we can't observe and that you'd like to think are supernatural; he says that "they
almost always yield one answer: infinity". Contrary to what we actually measure.