Reorganization trayectories; An Ontology of Continuatio, Rupture, Openness, and Transformation

This update introduces a substantial reformulation of the conceptual framework previously developed under the title spiral dynamics of time. The revision responds to an ontological and terminological reassessment aimed at strengthening the internal coherence of the theory and removing formal elements that had become incompatible with its later conceptual development. The principal modification consists in abandoning the notion of the spiral as the explanatory figure of temporality. In its initial formulation, the theory employed the spiral image to describe the coexistence of continuity, recurrence, and transformation. However, this representation retained a geometric residue that implicitly encouraged an interpretation of time as a spatial form or figure. Following the revision, this assumption has been explicitly discarded. In its place, the theory is now reformulated in terms of trajectories of reorganization, understood as the irreversible succession of relational configurations that preserve their operational continuity while modifying their internal structure under historically determined conditions. Time is therefore no longer conceived as a form, but rather as the register of irreversible transformations. This conceptual shift involved several structural changes. First, all references to “spiral dynamics,” “spiral return,” and the “shape of time” as central categories have been removed. These have been replaced by notions such as trajectory, flow of reorganization, irreversibility of states, and configurational mutation. Second, inherited categories such as persistence and self-preservation were replaced by the technical concept of continuatio, understood as the operational stability of the proportio relationum across successive reorganizations. Continuity is thus no longer conceived as static endurance, but as the ongoing capacity of a composition to remain itself through structural modification. In addition, the role of memory and hysteresis has been reformulated. They no longer function as principles of return to previous states, but as mechanisms of structural anchoring and historical weight (pondus), responsible for introducing irreversible asymmetries into every future trajectory. The revision also incorporates two new conceptual developments of particular importance: structural criticality, understood as proximity to thresholds of reorganization where minor perturbations may trigger large-scale transformations, and the notion of structurally adjacent possibilities, which delimits the field of reorganizations accessible from a present configuration without invoking absolute indeterminacy. Finally, the theory underwent a process of terminological thinning, reducing self-referential repetition of the system’s name and privileging a formulation centered on operative categories such as compositio, relational configuration, trajectory, and continuatio. The result is an ontologically more rigorous, conceptually more autonomous, and methodologically stronger framework for the analysis of biological, psychic, social, historical, and symbolic processes under conditions of irreversible transformation.