Patterns of life: how to differentiate between self-assembly and self-organization

Sebastian Sander-Oest

Synthese Volume 208, article number 143 (2026)

Self-assembly and self-organization are central concepts in theories of how patterns form in natural systems. However, literature on the topic has for long been riddled with inconsistent uses of these concepts, which often conflate their meaning or define them idiosyncratically. This is problematic as it struggles to make sense of the ubiquitous interaction between self-assembly and self-organization in chemistry and biology. The thermodynamic account is an attempt to draw up clear definitions of the concepts using thermodynamics as the appropriate framework for distinguishing the two concepts from each other. In this paper, I challenge this account and argue that self-assembly shouldn’t primarily be understood in terms of thermodynamics. I offer a philosophical analysis of core conceptual challenges for self-assembly and self-organization and argue that the thermodynamic approach follows a misguided conceptualization strategy. Drawing on recent philosophical work on scientific definitions, I propose an alternative account that treats the concept as a conceptual tool that directs our attention towards the kinds of features that are explanatorily relevant for the pattern-formation process and towards the features the resulting pattern itself will possess.Self-assembly and self-organization are central concepts in theories of how patterns form in natural systems. However, literature on the topic has for long been riddled with inconsistent uses of these concepts, which often conflate their meaning or define them idiosyncratically. This is problematic as it struggles to make sense of the ubiquitous interaction between self-assembly and self-organization in chemistry and biology. The thermodynamic account is an attempt to draw up clear definitions of the concepts using thermodynamics as the appropriate framework for distinguishing the two concepts from each other. In this paper, I challenge this account and argue that self-assembly shouldn’t primarily be understood in terms of thermodynamics. I offer a philosophical analysis of core conceptual challenges for self-assembly and self-organization and argue that the thermodynamic approach follows a misguided conceptualization strategy. Drawing on recent philosophical work on scientific definitions, I propose an alternative account that treats the concept as a conceptual tool that directs our attention towards the kinds of features that are explanatorily relevant for the pattern-formation process and towards the features the resulting pattern itself will possess.

Read the full article at: link.springer.com

Crowding controls the scaling of bus frequency with demand

S. Patwardhan, Ş. Erkol, F. Radicchi, & M. Barthelemy

Proc. Natl. Acad. Sci. U.S.A. 123 (29) e2535998123,

Public transit agencies face the challenge of allocating limited resources across routes with varying demand. Analyzing bus systems across 19 metropolitan areas, we show that, despite differences in cities, agencies, and planning practices, realized operations exhibit a specific scaling pattern in service allocation. This regularity is not imposed by a universal planning formula, but emerges across institutional and urban contexts. We show that it can be understood through a constrained-optimization principle balancing passenger waiting time, crowding, and limited resources. The result connects urban transit to complex flow systems in physics and biology by highlighting a regime where demand fixes flows, and cities allocate service capacity. This framework explains unequal returns to investment across systems and guides efficient, equitable planning.

Read the full article at: www.pnas.org

The Complexity Paradigm: Using Systems Science to Drive Business Success by Doug Garnett

Business today remains tethered to a paradigm that is long out of date. This mindset assumes that universal answers exist: Businesses can simply apply compartmentalized operations and follow linear paths to success. Experienced managers know business doesn’t work this way. Where should they turn?
In this groundbreaking book, Doug Garnett shows how complexity science reveals a new understanding of how business works that is as useful on the front lines as in the C-suite. This discipline—the study of behaviors in highly interconnected, adapting systems dominated by emergence—is revolutionizing fields from biology and economics to psychology and artificial intelligence. Recognizing a business as a complex adaptive system operating within other complex systems changes our perspective on everything from core concepts of demand, profit, and strategy to the nature of business success. Managers who grasp the order hidden within complexity discover not only a powerful new understanding of their role but also potential for dramatic contributions to success.
The Complexity Paradigm features vivid examples ranging from local coffee shops to major corporations like PepsiCo, Boeing, Mattel, Starbucks, and General Motors as well as tech giants such as Apple and AT&T. Grounding eye-opening theory in the realities of business, this foundational look at complexity offers deep insight and value for practitioners and students alike.

More at: cup.columbia.edu

Reflexivity from Hierarchical Causality

Tim Gebbie

Complex systems are often organised into hierarchies whose internal interactions are stronger or faster than interactions across levels. When markets are treated as genuinely multilevel systems it becomes natural to represent them as systems with hierarchical causality. Here we show that reflexivity can be formulated within such a discrete hierarchical causal system; but one in which a higher-level actor state restricts the lower-level transition kernels that remain admissible. Then event dynamics can be separated from calendar embeddings: a set-valued actor-conditioned correspondence can be used to define the admissible family of event kernels, while joint state and waiting-time laws can be used to determine compatible timing to then natural demonstrate reflexivity. A selected event-state law need not determine a unique calendar embedding. Locally, uniqueness of the joint event or timing specification requires uniqueness of both the admissible event kernel and its compatible timing law. Reflexivity is thus the endogenous closure of a hierarchical constraint loop, while timing and projection can generate calendar-time memory or causal ambiguity even for Markov event dynamics.

Read the full article at: arxiv.org