Journal of Systems Thinking · Volume 5, Issue 1 · 2025-11-14
A General, Measurable Definition of Emergence (E=ΔO)
Structure → Behavior as the Universal Mechanism Underlying Emergent Phenomena
Derek Cabrera
https://doi.org/10.54120/jost.v25i1.dc6gmde6
Abstract
ABSTRACT: Emergence is central to systems science, yet its definition remains fragmented, domain-specific, and often metaphorical. Existing accounts—including weak and strong emergence, interactionist models from complexity science, and physics-based descriptions of phase transitions—do not provide a general mechanistic operator that links structural change to behavioral change in a measurable way. This paper develops a formal, domain-independent definition of emergence grounded in O-Theory, which models system organization (O) through the structural patterns of Distinctions, Systems, Relationships, and Perspectives (DSRP). We define emergence as the change in system behavior resulting from a change in system organization, formalized as E = ΔO. To evaluate this definition empirically, we analyzed the full Congressional Record from January 2019 and January 2020. Organizational structure was quantified using LLM-based DSRP coding, supported by a dedicated reliability study (median test–retest r = .98). Behavioral divergence was measured using Kullback–Leibler (KL) divergence. The results show clear structural reorganization (ΔO > 0), substantial behavioral divergence (KL = 0.3487), and a stable dependency between organizational load and behavioral variation across models and years. Together, these findings demonstrate that emergence can be operationalized as a structural–behavioral dependency in real-world cognitive–linguistic data, providing a generalizable, mechanistic, and empirically verifiable account of emergent phenomena.
© 2025 Journal of Systems Thinking (JoST) · CC BY-NC-ND 4.0
