I don't think one can explain consciousness within a purely "materialistic" worldview or formula, that tries to find an "objective" way of describing something that by itself is most likely based vastly on "subjectivity".
You'd at least have to look down an interdisciplinary road, way beyond physics (even quantum physics doesn't really have any clue at all) even moving out of the comfort zone outside of mainstream science.
But that will not happen, since a lot of sectors within science are trying to seperate topics and dissect them individually instead of looking at the broader picture and it's interconnectedness.
Concepts Quantum physics is discovering atm, is stuff that shamans, psychonauts, artists etc found out hundreds and thousands of years ago. They were/are just not able to use a common, mathematical language to describe it.
Unless science and all those weird traditions and wild experimenters don't start working together, there will not be a satisfying answer.
I love i.e. the approach by Dr. Rick Strassman, trying to figute out more about all that.
Yes personal experience is telling me that it's somewhat beyond materialistic worldviews.. :)
Mine too... :D
I prefer looking across the board, without any dogmas or strict (neither naive) believes. From science to all kinds of traditions to totally fringe areas.
Also quite like of the ideas of this guy, a former NASA physicist. Tons of videos of him on YT, btw.
https://en.wikipedia.org/wiki/Thomas_W._Campbell
Campbell's theory could be considered the Grand Unifying Theory but he chose to call it My Big TOE (Theory Of Everything). Consciousness gave rise to brains not the other way round. The entire physical universe, all the quantum effects, and relativity, are a simulation. This sounds crazy at first but even the double split experiment provides convincing evidence that the universe is information-based not material-based.
Now if the universe is computed then where is the computer? It can only reside completely outside of and separate from the universe itself. (The universe cannot compute itself). The difficulty many physicists have with the hard problem of consciousness is they are still looking inside the universe for answers.
Campbell's trilogy 'My Big T.O.E.' is on amazon or for free at google books https://books.google.com/books?id=RYHtBPiZVgsC&printsec=frontcover&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false
edit: I watched his 2011 Calgary presentation on youtube first and that was enough to get me to read the trilogy.