are there any tentative explanations for this "can change world" property?
No, we don't know how what we refer to as consciousness affects the world and (congruently) we don't know why think we have consciousness (as in experiencing qualia). There clearly are effects, but we don't know the nature of the mechanism. Frankly, it's not even clear that we're making sense when we talk about consciousness.
I think once we understand what consciousness is, there will be clear answers to questions like:
But for the moment I'm so confused that I have no idea what a satisfying answer to those questions will even look like.
In Zombies! Zombies? Eliezer mentions that one aspect of consciousness is that it can causally affect the real world, e.g. cause you to say "I feel conscious right now", or result in me typing out these words.
Even if a generally accepted mechanism of consciousness has not been found yet are there any tentative explanations for this "can change world" property? Googling around I was unable to find anything (although Zombies are certainly popular).
I had an idea of how this might work, but just wanted to see if it was worth the effort of writing.