I often talk about this in terms of vaguely specified ideas about quantum entanglement in the brain, but the really important part is the radical disjunction between the physical ontology of the natural sciences and the manifest nature of consciousness. I cannot emphasize enough that this is a huge gaping hole in the scientific understanding of the world, the equal of any gap in the scientific worldview that came before it, and tha the standard "scientific" way of thinking about it is a form of property dualism, even if people won't admit this to themselves.

I am among those who "won't admit this to themselves". In fact, I think it is nonsense - there is no "gap".