History Reselection in the Canonical Preimage Geometry

This paper develops the structure of history reselection within the canonical preimage geometry defined by the ISEED engine. It formalizes how admissible histories are projected, resequenced, and stabilized under the primitive system. The work characterizes the algebra of reselection operators, establishes necessary constraints for distinguishability preservation, and proves that reselection paths remain basin-consistent and curvature-neutral. These results show that canonical preimages are uniquely determined by the primitive invariants and admit no additional degrees of freedom.