I have a hard time thinking of that example as a different causal structure. Rather I think of it as keeping the same causal structure, but abstracting most of it away until we reach the level of the knob; then we make the knob concrete. This creates an affordance.
Of course when I am in my house I am approaching it from the knob-end, so mostly I just assume some layers of hidden detail behind it.
Another way to say this is that I tend to view it as compressing causal structure.
I have a hard time thinking of that example as a different causal structure. Rather I think of it as keeping the same causal structure, but abstracting most of it away until we reach the level of the knob; then we make the knob concrete. This creates an affordance.
Of course when I am in my house I am approaching it from the knob-end, so mostly I just assume some layers of hidden detail behind it.
Another way to say this is that I tend to view it as compressing causal structure.