Combine this with the simulation hypothesis; a universe can only simulate less computationally expensive universes. (Of course this is handwavy and barely an argument, but it’s possible something stronger could be constructed along these lines. I do think that much more work needs to be done here.)
If all levels of the Turing hierarchy are about as real, it’s extremely unlikely our universe is at level zero. Yet Church-Turing looks pretty solid.
Combine this with the simulation hypothesis; a universe can only simulate less computationally expensive universes. (Of course this is handwavy and barely an argument, but it’s possible something stronger could be constructed along these lines. I do think that much more work needs to be done here.)