The Anti-Snapshot Theorem: Temporal Corrective Structure in Finite Systems

This paper derives a witness operator for temporal corrective structure and proves that no bounded snapshot can substitute for real history. It identifies three necessary modes of temporal burden—multi-record independence, hierarchical cross-scale nesting, and future-probe answerability—and uses them to distinguish real temporal process from static present-state encoding. The theorem is also applied to the Boltzmann brain problem as a structural distinction between real history and fluctuation-generated snapshots.