I can directly observe my own consciousness and I can tell that without a doubt it can not be explained by current physics and "complexity". It is completely different in kind.
If you believe that consciousness could arise just from complexity and information processing, then you are frankly mistaken. Whether you lack a consciousness or just the introspective ability to perceive it... or I suppose a knowledge of physics.
Now beyond saying "there is something going on", things quickly become much more difficult. Pan-psychism is a worthwhile avenue to pursue. If there is some phenomenon going on at a macrolevel, then we do expect it to be made up things going on at a microlevel. Some kind of consciousness or proto-consciousness. But am somewhat pessimistic. We don't really know what we are even looking for, so how can we expect to find it?
The attempts to connect wave-function collapse with consciousness are unconvincing to me. It seems basically like tying together two things we don't understand with each other based on... not a lot.