One does not have to invoke extranatural mechanisms to account for the physics inside a black hole. Yet, whatever physics that does occur there is unknowable by virtue of the fact that nothing that enters a black hole can ever return. We can send someone down and the truth they will know, but only they will know and they can never return. The black hole example is designed to demonstrate how one scientific experience can be seen religiously. It can offer for some a channel to mystical insight.
People do have religious experience.
Lots of people do and frequently. Nothing we can do with this analysis can ever tell us what precisely gives rise to these religious experiences, but systematic analyses of experiences might narrow the speculative possibilities. He meant this in spiritual or mystical terms. These revelations are religious only insofar as we see them as such. As far as examining these things scientifically indeed we can.