Dynatology

This paper introduces Dynatology, the study of structured potentiality. The term derives from the Greek: \textit{dynatos} meaning possible, capable, or possessing the capacity to become. Most scientific frameworks begin with entities, states, or agents. Dynatology begins with possibility itself. More precisely, it begins with the structure governing possibility. The framework proposes that geometry is induced by admissibility over instantiated state space. Possible futures are neither uniformly reachable nor equally admissible. They occupy structured regions connected by continuations, constrained by admissibility, and transformed by constitutional operators. The paper introduces: structured potentiality, possibility geometry, dynatopology, continuation fields, constitutional operators, admissibility inference. A formal dynatological system is defined as the triple: \mathcal D := (S, \Omega, A) where: S is a state space of instantiated configurations, \Omega \subseteq S \times S is a conceivability relation, A \subseteq \Omega is an admissibility relation. The viability kernel V \subseteq S and the family of admissibility-modifying operators C are derived from A rather than postulated as primitives. The viability kernel is computable in O(|S| + |A|) on a finite admissibility graph (Section 28). Dynatology provides a substrate-neutral framework for studying physical, biological, computational, economic, social, and cognitive systems through a common language of structured possibility. An empirical instance is reported in Section 28: in the Constitutional Collective with Optional Overmind (CCOO) framework, refinement of the admissibility relation from a 4-neighbor to an 8-neighbor local-max rule produced monotone expansion of the viability kernel, capturing approximately 101% of capability previously requiring centralized aggregation across 100 seeds. The central claim: The deepest object of inquiry is not what exists, but the structure governing what may become.