Consciousness implies recognizing actions as associated with the actor or not?
Not on my concept of consciousness. For me, consciousness is about subjective experience, not about agency. To paraphrase Bentham, "My question is not, Can they reason? nor, Can they act? but, Can they suffer?"
Hm. Trying to come up with a matching definition of "suffer" in this context.
How about "perceiving damage". But that is not conscious. That could be said about any minimal (neurological) circuit.
"Perceiving damage to self". But that recurses to "self". And it we avoid "self" by using "actor" (which is more specific but needs a simpler concept) we are back where I was.
Also "suffer" implies some kind of stress. Some mode that deals with existential danger. Which can be a) act actively to ...
Max Tegmark publishes a preprint of a paper arguing from physical principles that consciousness is “what information processing feels like from the inside,” a position I've previously articulated on lesswrong. It's a very physics-rich paper, but here's the most accessable description I was able to find within it:
The whole paper is very rich, and worth a read.