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Dan,
A very readable and clear exposition on many of the basic assumptions and prejudices manifesting in the discipline of physics. Unfortunately it expresses the effective reasons it won't win the contest, as belief systems naturally promote advocates and demote skeptics. While it has certainly been brave of FQXi to ask such a contest question as this one, the judging of previous contests has been fairly conservative. That said, there are a number of similar efforts to seriously upend the apple cart and not just patch the more apparent holes. It will be interesting to see whether a serious paradigm shift is considered, or if the results conform to current models.
The point I raise in my essaythat our sense of time as a progression from past to future events, which physics re-enforces by treating it as a measurement, is actually a subjective perception of the changing configuration of what is, turning future potential into past circumstance, leads to a number of observations that relate to various of your points. Such as information being the configuration of energy. Thus while energy goes from prior to succeeding configurations, the resulting information is necessarily being created and destroyed, since the amount of energy is conserved. There being no blocktime conservation of information.
Entropy only applies to a closed system and if time is an effect of action, rather than the geometric cause, than space has no dynamic properties, thus cannot be bounded, bent, etc. and therefore is an infinite equilibrium state. So there is no ultimate closed system and energy is simply traded around. What is radiated away and ejected by collapsing systems, is absorbed by expanding ones.
As for determinism, all the processes effecting a system may well be deterministic, but if the input into that system cannot be defined, it is non-deterministic. With time as emergent effect, it is the collapse of future probabilities, which yields current actualities. The cat is not both dead and alive, because we are not traveling some vector from a determined past into a probabilistic future. It is the actual, physical course of events which determines the fate of the cat. To wit, the earth doesn't travel the fourth dimension from yesterday to tomorrow, tomorrow becomes yesterday because the earth rotates. We cannot know all input into any situation prior to its occurrence, since that would require signaling faster than the input is traveling. It is a non-linear reality out there.
Good luck in the contest and hopefully some non-belief based science can come of all this.