Finite Continuance: Toward a Topological Ontology of Reconfiguration, Erosion, and the Preservation of Meta-Capacity

This article develops the concept of finite continuance as a framework for understanding how finite entities, subjects, and organized forms persist under conditions of structural instability, erosion, and incomplete reconfiguration. Rather than treating continuity as the persistence of an unchanged identity or as movement toward a determinate telos, the article proposes that continuance depends upon the preservation of a higher-order capacity to reorganize the relations through which a form remains viable. This capacity is termed meta-capacity: the capacity of a finite structure to preserve its ability to modify, redistribute, or reopen its own determinate organization without thereby losing structural continuity. Building on this distinction, the article develops a preliminary topological ontology in which continuity is analyzed not primarily through substantial identity, but through the preservation, deformation, rupture, and reconfiguration of relational organization. Erosion is consequently understood not simply as the loss of components or resources, but as the progressive contraction of a structure's capacity for further reconfiguration. Reconfiguration, conversely, is not equated with unrestricted change; it becomes possible only insofar as sufficient meta-capacity remains available within the finite structure. The central problem is therefore not whether a structure changes, but whether change preserves the conditions under which further change remains possible. The article argues that this framework permits a distinction between transformation and terminal erosion, between adaptation and the exhaustion of adaptive capacity, and between continuity of identity and continuity of organizational possibility. On this basis, finite continuance is proposed as a normative and ontological principle for analyzing subjects and structures whose persistence depends upon maintaining sufficient capacity for future reconfiguration. The article concludes by outlining a research program toward a topological ontology in which the preservation of meta-capacity constitutes a fundamental criterion for distinguishing viable continuance from mere persistence and irreversible structural exhaustion. Keywords: Finite Continuance; Topological Ontology; Reconfiguration; Erosion; Meta-Capacity; Structural Continuity; Relational Organization; Finite Structures; Adaptive Capacity; Ontological Persistence; Structural Exhaustion; Transformation