Topological constraints on self-organization

Core framework: necessary conditions on graph topology for ordered phases to exist in locally-interacting systems.

Neighborhood — ranked by edge-count

concept

Self-Organization
about
Spontaneous emergence of long-range order in networks; modeled as neural and basal cognition.
Domain-wall formation
associated_with
Critical phenomenon in determining whether systems can maintain ordered target states; analyzed via free-energy scaling.

claim

framework

Topological constraints on self-organisation framework
related_to
Main framework: uses scaling of free energy under domain wall formation to determine whether local interactions can sustain ordered phases based on graph topology alone
Systems on vertices of planar graphs with pairwise edge interactions
extends
General model framework for locally-interacting systems; topological properties determine phase behavior.

event

World models in natural and artificial intelligence
associated_with
Theme issue context; positions the paper within broader inquiry on internal models across substrates

venue

Philosophical Transactions of the Royal Society A
introduces
Publication venue for the paper; theme issue on world models in natural and artificial intelligence.

cosine ≥ 0.65 · no typed edge

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

Topological Constraints on Self-Organisationconcept0.935
Constraints enable emergence of complexity through self-organization in far-from-equilibrium systems.claim0.785
Biological Self-Organizationconcept0.770
Central phenomenon: emergence of life-like organization (boundaries, inference, homeostasis) from coupled random dynamics.
Self-organisationconcept0.767
Phenomenon of spontaneous long-range order emerging from local interactions; central phenomenon explained by topological constraints
Self-Organizing Systemconcept0.766
Systems whose structure emerges from internal communication patterns rather than external design; the paper proposes consciousness as arising in such systems
Hierarchy and subordination through spatial organizationclaim0.760
Drucker argues that indentation, size, placement, and relative position create hierarchies not as moral values but as relational effects within a system.
Self-organisation can be viewed as a form of autopoietic cognition navigating problem spaces toward target morphologies.claim0.751
Linking self-organisation to cognition and navigation of configuration space
Self-organized criticalityconcept0.750
Bak's framework describing complex systems that spontaneously organize toward critical states; applicable to living organization.