A bit of a ramble for my own interest, but I thought I'd blog it.
The only component necessary for free will is ignorance of the future. Is it possible to have a superdeterministic universe and have retain this?
Knowledge of the future seems to be a spiral that could lead to eternal knowledge, but knowledge of what and by whom? To know something is to duplicate its information, yet an exact duplicate, perhaps half of the universe duplicated by the other half, would perhaps not contain knowledge. Instead, it seems that one half chases the other, attempting duplication, racing toward symmetry, yet never attaining it because perfect symmetry contains nothing new. Information is contained within the differences between things; the more powerful the information, the greater the contrast. Errors create drama. The greater the error, the greater the drama and the most stark the difference between what is known and what is unknown. Ignorance is perhaps a vital part of existence, and if so, the most profound truths in science must be unknowable.
At what speed is information gained? At light speed, or a finite speed of maximum limit, at least. Instant knowledge cannot be permitted because a degree of ignorance and inaccuracy are necessary. Perhaps the early universe strove for perfect accuracy, but once the size became impossible to traverse 'instantly' due to distance, errors became inevitable, resulting in asymmetry and thus information.
Can information exist as a duo of perfect symmetry? Not between them. They might contain form, but what third party could observe this? A third party that attempts knowledge, which is therefore partial duplication of form.
If a system should evolve into this perfect symmetry, could it escape? No, and so it is probably not possible that a system could evolve into perfect symmetry. Was the instant of the start of the universe a period of perfect symmetry? If so, that infinite point would not be attainable, so no. Even on the tiniest possible scales, there must be inherent imperfection.
