
This preprint introduces the Operational Constrained Exploratory Systems (OCES) Core Operator Framework, a measurement framework for exploratory saturation in adaptive systems under bounded representational geometry. The framework defines five operators—local novelty, compression, restructuring persistence, accessibility entropy, and participation ratio—and unifies them through a master field operator and a Joint Saturation Certificate. Across 50 independent simulation seeds (d=16, 50,000 steps), the study identifies phase-structured novelty compression, persistent utility growth, and convergence to a measurable saturation regime. The work is intended as an exploratory contribution toward the operational study of exploration dynamics in adaptive and recursive inferential systems. Cross-dimensional validation and extended replication studies are ongoing.
