As far as we can tell consciousness is an emergent phenomenon of the physical processes of the brain, and when you interrupt those processes, you don’t form new memories, and when you wake up it’s as if you time travelled to that point.

Any other explanation involves a lot of hand-waving and vast unfounded assumptions that contradict the known laws of physics. My question for those cases is: how does it work? For example, if there really is a “soul” that is able to influence (and be influenced by) my brain, then what is the physical mechanism for that interaction? Can we describe it in a rigorous mathematical framework that makes testable predictions? In what way is our current description of physics incomplete or incompatible, and how do we alter them to fit this new stuff in? What observations can we make to confirm this?

If someone can answer those questions for the soul, then there’s a Nobel prize waiting for you for completely upending and rewriting our laws of physics.