Strange Loops

Douglas Hofstadter wrote a book a few years ago entitled, "I Am a Strange Loop." I've been reading and enjoying it. He suggests that consciousness is a strange loop existing a level up from the physical reality of the brain. I'm wondering, however, if strange loops, as a mathematical construct, can explain everything in the universe that we have troubled ourselves over with beginnings and ends and finity. What would it mean to physics if all of our experience was exhaust from an underlying strange loop. Could we use the signature of the exhaust to explore the underlying reality?

I haven't thought long enough to have much more than that. Perhaps I'll write with more forethought and clarity once I finish the book.