Determined and Unforeseeable: Free Will as Exact Forward Determination and Forced Self-Opacity

The fold is fully determined forward and exactly non-invertible backward. One state has one successor, while the distinct preimages 1/4 and 3/4 both fold to 1/2. The engine proves forward uniqueness, backward collapse and the unrecoverable preimage distinction. A self is inside the same relation it tries to inspect. The observer chain 1/8 to 1/4 to 1/2 to 1 joins measurement, self-observation, binding and unison. The act is fixed by the forward law while its completion is unavailable to the self-model before execution. From one machine-checked self-proven theorem, zero axioms and zero fitted parameters, the paper rules out libertarian indeterminism and identifies the lived openness of deliberation as the accurate internal view of a determined but self-opaque process. Scientific author and publication authority: Maria Smith, Ernos Labs. Open source: Smithian Fold Theory of Everything.