Concept Dynamics A Structural-Dynamic Framework for Concept Formation, Abstraction, and Generalization

Building upon Domain Mathematics, this chapter investigates how prolonged overlap and synchronization among domains produce shared core structures within the Sedimentation-Field. It proposes that concepts, commonality, abstraction, and generalization are not pre-given products of linguistic definition or logical classification, but historical stabilization structures emerging through long-term stable compression among domains. By introducing structural-dynamic quantities such as OverlapDensity, CoreDepth, CoreGravity, GeneralizationFlow, and SemanticSync, the chapter develops a framework of concept dynamics in which concept formation arises from synchronization, compression, and stabilization processes across domains. The framework further proposes that abstraction is fundamentally a form of stable compression rather than separation from concrete structures, while semantic synchronization emerges from long-term generalized flow overlap between cores. The chapter thereby offers unified structural accounts of concept formation, semantic organization, and generalization.