Professor Walker,
Congratulations on a very interesting and well-written essay that discusses aspects of the theme of the contest.
It seems you believe only living systems exhibit goal-directed behavior and I share that belief with you. From that, I had hoped you would develop an argument for how the capacity for living systems to exhibit the behavior is born out of the conglomeration of mindless mathematical laws. However, you chose to "recast" the theme question, 'how mindless mathematical laws can give rise to goal-directed behavior,' into 'how it is that macroscopic systems can appear to cause transformations under the constraints of deterministic laws.' These are two fundamentally different issues and, in my opinion, you "transformed" the rules by altering the question (which is likely acceptable).
Rather than proposing how physical systems evolved into ones that exhibit the features of life, including goal-directed behavior, you discuss how living entities (which we know are the result of the mindless laws) configured themselves to exploit their capacity to seek goals. You mention that 'a whole can be more than the sum of its parts,' and that 'a system is integrated when, cut into parts, it loses cause-effect power,' but, as far as I can see, you do not discuss what causes the synergy. What is it about the configuration of the living system that causes it make the jump from inert matter to a living entity? You describe how the integration works, but not why it works. What is it about a living entity that sparks the integration? (You may have done this and I just missed it. Some of your essay is beyond my current knowledge of the subjects you discuss.)
This is not to suggest that I believe you have not done good, useful work - I think you have. Compared to the bulk of the essays submitted (including mine), you deserve a relatively high score and I am glad that you currently have one. It is just that, given your apparent knowledge of the subject; your insights into what makes systems transition from deterministic entities, their fates driven by their environments, into living entities whose fates are determined by their wills, are likely invaluable.
Bill Stubbs