Dear Janko,
I remember you from the last essay contest.
We agree that free will must have something to do with what is called "quantum randomness". This is my way of looking at it: In a (theoretical) fully deterministic universe, all the parameter values that we use to represent a physical outcome can potentially be predicted by us (if the situation is not too complex). But (in the real universe) when representing the physical outcome of free will, at least one of the parameter values cannot be predicted, even in simple situations.
So in order to fully specify the physical outcome of free will, in addition to law-of-nature equations, a new, additional equation is required to represent this unpredictable parameter value. Something new has been created, because a new equation is required to fully specify the actual physical outcome. To my way of thinking, the slippery and difficult-to-define concept of "free will" is more correctly and cleanly envisaged as the creation of something new.
I agree that Tononi's model of consciousness needs correction, but what his model DOES give is the idea of integrated information - which is a valuable idea.
Yes, I am contending that there is no processing going on behind-the-scenes in physical reality. All the processing that WE HUMANS must do (either manually or by computer) in order to represent and predict physical outcomes in reality, is a consequence of the fact that we can only REPRESENT nature with our equations. Doing calculations is a necessary consequence of using symbols to represent reality. I'm saying that reality isn't symbolising itself: reality is directly apprehending/experiencing itself, so reality is not doing calculations.
You say that "ALL physics can be simulated in binary computer" - but doesn't this contradict your idea of free will?
Re Kevin Knuth, "1+1=2", and my essay section 2.4:
Both counting, and the Union and Intersection of set theory, require advanced and sophisticated discrimination and comparison abilities that just CANNOT be present at the level of particles and atoms. I'm disappointed that Kevin Knuth seems to believe in magic. I contend that at the level of fundamental reality, a simpler and more basic regime exists. I.e. the subjective experience of information categories (like mass and charge) and information relationships (which we represent with symbols like + - ÷ x and =). The fundamental reality that we humans represent with numbers is just a special sort of the aforementioned information category relationship, one where the category "cancels out".
I will be interested to read your essay as soon as I can.
Cheers,
Lorraine