claim

active

claim:the-results-generalise-readily-to-non-equilibrium-systems-where-scaling-relationships-remain-similar-e-g-dynamic-or-localised-scaling

The results generalise readily to non-equilibrium systems where scaling relationships remain similar (e.g., dynamic or localised scaling).

Claim about broader applicability of the scaling argument

Source paper

extracted_from

Topological constraints on self-organisation in locally interacting systems

(2025) · Francesco Sacco · Dalton A R Sakthivadivel · Michael Levin

Neighborhood — ranked by edge-count

Findings (1)

finding

At thermal equilibrium, ability to converge to an ordered phase is independent of energy levels and window sizes (Lemma 1)
supports
Scaling argument depends only on perimeter, not details of energy magnitudes or window length

Communities (4)

community

Causal emergence in biological systems
members_of
Examines how macro-scale causal power exceeds micro-scale in living and learning systems.
Hierarchical structure and multiscale coherence in physical systems
members_of
How graph topology and hierarchical interaction patterns enable or prevent phase transitions and ordered states, from statistical mechanics to biological organization.
Hierarchical network ordering & thermodynamics
members_of
Statistical mechanics of clique-structured graphs linking domain walls, free energy, and biological multiscale coherence.
Scaling laws and phase transitions
members_of
Universal convergence to ordered phases independent of system parameters, extending from equilibrium to non-equilibrium dynamics.

Related by similarity (8)

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.

We conclude that certain systems cannot remain ordered over long ranges for all time, and suggest this no-go theorem as a source of fitness pressure for biological phenomena like stigmergy and embodiment.quote0.800
Final concluding statement linking the mathematical result to biological evolution
Echoes of similar proportions and angles appear throughout any natural system due to uniform underlying processes, giving a consistent character to different parts.claim0.798
Free-energy scaling under domain-wall formation in Potts, autoregressive, and hierarchical networks shows that combinatorics of interactions on a graph prevent or allow spontaneous ordering.finding0.794
Core result demonstrating topological constraints on self-organization
The complex nature of functional relationships between component parts begins to look less like the product of selection at the system level, and more like the source of evolutionary individuality.claim0.793
Inverts the causal arrow: relationships produce individuality, not vice versa.
Any system that persists must minimise surprisal, thereby gathering evidence for its own generative model.quote0.790
Opening sentence defining self-evidencing.
Any system that persists must minimise surprisal, thereby gathering evidence for its own generative model, a process known as self-evidencing.claim0.786
Foundational claim of the paper, defining self-evidencing.
Contrast organizes natural systems from elementary particles to day/night cycles, and Spencer Brown's Laws of Form suggest it is fundamental to all structure.claim0.784
Multiscale systems in biology can organize into complex patterns whereas flat autoregressive architectures cannot.hypothesis0.782
Key hypothesis: topological/architectural properties determine capacity for long-range self-organization.

Cross-corpus bridges (7)

same_concept_as · Nomic cosine

External markdown files that talk about the same concept as this entity.

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What are the bidirectional relationships between multiscale intelligence and evolutionary processes?questions/what-are-the-bidirectional-relationships-between-multiscale-intelligence.md0.801
aboutblank_kb
Can stress dynamics and geometric frustration serve as universal principles across diverse physical and biological systems?questions/can-stress-dynamics-and-geometric-frustration-serve-as.md0.799
aboutblank_kb
What principles of coordination apply universally across chemical, biological, and artificial systems?questions/what-principles-of-coordination-apply-universally-across-chemical.md0.795
aboutblank_kb
How do goal-seeking systems at all scales resist entropy and other universal limitations on complexity and order?questions/how-do-goalseeking-systems-at-all-scales-resist.md0.792
aboutblank_kb
Can shallow or reciprocal interaction structures compute non-linearly separable functions?questions/can-shallow-or-reciprocal-interaction-structures-compute-nonlinearly.md0.789
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What is the relationship between non-decomposable collective phenotypes and non-decomposable collective reproduction?questions/what-is-the-relationship-between-nondecomposable-collective-phenotypes.md0.787
alexander
Source: http://nature-of-order.stefan-lesser.com/levels-of-scalearticles/garden/2022-06-27_Stefan-Lesser_nature-of-order.stefan-lesser._levels-of-scale_7e926d.md0.763