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claim:this-no-go-theorem-serves-as-a-source-of-fitness-pressure-for-biological-phenomena-like-stigmergy-and-embodiment

This no-go theorem serves as a source of fitness pressure for biological phenomena like stigmergy and embodiment.

Interpretation that evolutionary solutions evolved to overcome topological constraints

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Topological constraints on self-organisation in locally interacting systems

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

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Causal emergence in biological systems
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Examines how macro-scale causal power exceeds micro-scale in living and learning systems.
Quantum mechanics foundations of genetic stability
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Explores how quantum theory—not classical physics—explains hereditary persistence, discrete mutations, and molecular information encoding in biological systems.

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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.quote0.909
Final concluding statement linking the mathematical result to biological evolution
Topological no-go theorem (Sacco-Sakthivadivel-Levin) will establish that autoregressive LLMs cannot maintain long-range coherence via local interactions alone within 6 months of widespread community prediction0.768
The step-by-step approach works. The all-or-nothing approach does not work. This is the secret of biological evolution.quote0.766
Crisp conclusion from the 30-coin thought experiment, linking adaptation in buildings to evolution.
no-go theorem for long-range orderconcept0.757
Result that certain topological interaction constraints prevent ordered phases; proposed as evolutionary fitness pressure
We hypothesise this explains why stigmergy and other forms of extracellular signalling arise in biological systems, which is known to enhance the ability for a collective system to order itself.hypothesis0.756
Hypothesis connecting fitness pressure from topological constraints to the evolutionary origin of stigmergy
The conditions necessary to evolve a new level of individuality are described by the conditions necessary to learn non-decomposable functions (deep model induction)claim0.754
Core interpretive claim of the paper connecting ETIs to connectionist learning
The results generalise readily to non-equilibrium systems where scaling relationships remain similar (e.g., dynamic or localised scaling).claim0.753
Claim about broader applicability of the scaling argument
Living processes are by nature morphogenetic; they are aimed at creating positive space and making form coherent.claim0.751
Core definition of living process as intentionally form-creating, in contrast to fragmented modern processes.