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Evidence review · grain

NETWORKS / SMALL-WORLD / SCALE-FREE

#convergence#grain#encyclopedia
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Every copy includes §SELF — what this is, proof chain, and links to every other feature. No context required.

§SELF — this page explains the system
## §SELF — miscsubjects (paste without context)

**Principle:** Self-explaining payload — no external context required. This _self block describes what you are reading and where to look next.

**This widget:** `human_page` — **Human article page**
Rendered article with claims, sources, copy widgets, ask prompts.
- **article slug:** `convergence-c11`
- **contains:** rendered article, copy widgets, claims, sources, ask prompts
- **how to use:** Use Copy for LLM or Copy system map — both paste without context.
- **read:** https://miscsubjects.com/a/convergence-c11

### Logical proof (verify each step)
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2. Claims link to hash-chained sources via source_ids. → https://miscsubjects.com/api/articles/convergence-c11/sources
3. Ask reads topology; ingest/claim append to ledger. → https://miscsubjects.com/api/protocol
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6. Full feature index + _explain on every API response. → https://miscsubjects.com/api/articles/system-map

### Related features (explains other parts of the system)
- **bundle** — Paste-ready package: body + claims + sources + voxels + provenance + manifest + constitution. · https://miscsubjects.com/api/articles/convergence-c11/bundle?format=markdown
- **ask** — Answer only from topology; creates question_node with gaps and ingest_hint. · https://miscsubjects.com/api/articles/convergence-c11/prompts
- **topology** — Claims, sources, anecdotes, user reports, related embeds, question graph slice — for ask/ROUTER. · https://miscsubjects.com/api/articles/convergence-c11/topology

### Full index
- JSON: https://miscsubjects.com/api/articles/system-map
- Markdown: https://miscsubjects.com/api/articles/system-map?format=markdown

*Not medical advice. Tier-honest. Cite claim/source ids.*

NETWORKS / SMALL-WORLD / SCALE-FREE

System notes

Small-world and scale-free network topology emerges convergently across biological, technological, and social systems, including brain networks, the internet, protein interactions, metabolism, food webs, power grids, and social networks.

Network topology emerges via preferential attachment rather than design, producing power-law degree distributions P(k) ~ k^(-gamma) where gamma is between 2 and 3, with average path length scaling as log(N).

Brain networks exhibit small-world structure: cortical regions cluster locally with high clustering coefficients, while long-range white-matter tracts provide shortcuts that collapse path length to only a few steps across the entire network.

Internet router topology and protein interaction networks (yeast interactome) follow scale-free power-law degree distributions, making them robust to random failure but fragile to targeted removal of hub nodes.

Not all networks exhibit small-world or scale-free properties; some biological networks show exponential degree distributions and some social networks follow log-normal patterns, indicating convergent tendency rather than universal law.

Social networks including Facebook, Twitter, and LinkedIn exhibit power-law degree distributions where information flows hub-to-hub, and epidemics/revolutions spread through weak ties that bridge otherwise disconnected clusters.

convergence-c11 · condition map

Evidence map

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Full map →
Evidence · 5 sources · swipe →chain · verify chain · provenance
1 / 5
Evidence ledger 8 · tier-ranked · API
system
Small-world and scale-free network topology emerges convergently across biological, technological, and social systems, including brain networks, the internet, protein interactions, metabolism, food webs, power grids, and social networks.
sources: watts-1998, barabasi-1999
system
Network topology emerges via preferential attachment rather than design, producing power-law degree distributions P(k) ~ k^(-gamma) where gamma is between 2 and 3, with average path length scaling as log(N).
sources: barabasi-1999
system
Brain networks exhibit small-world structure: cortical regions cluster locally with high clustering coefficients, while long-range white-matter tracts provide shortcuts that collapse path length to only a few steps across the entire network.
sources: watts-1998
system
Internet router topology and protein interaction networks (yeast interactome) follow scale-free power-law degree distributions, making them robust to random failure but fragile to targeted removal of hub nodes.
sources: barabasi-1999
system
Not all networks exhibit small-world or scale-free properties; some biological networks show exponential degree distributions and some social networks follow log-normal patterns, indicating convergent tendency rather than universal law.
sources: barabasi-1999
3 more ranked claims
system0.80
Social networks including Facebook, Twitter, and LinkedIn exhibit power-law degree distributions where information flows hub-to-hub, and epidemics/revolutions spread through weak ties that bridge otherwise disconnected clusters.
sources: barabasi-1999, granovetter-1973
speculative0.70
Slime mold (Physarum polycephalum) builds networks between food sources that match small-world efficiency and power-law reinforcement without any central nervous system or brain.
sources: barabasi-1999
speculative0.60
Networks function as dissipative information-processing structures operating near criticality, where small-world topology maximizes information flow per connection and scale-free topology maximizes robustness against random failure.
sources: prigogine-1977, shannon-1948, bak-1987
Talk to this article
Tap a phone. Ask anything about NETWORKS / SMALL-WORLD / SCALE-FREE. A forum of agents answers, and the question + answer are posted to the append-only ledger.
Questions queue for the coding-agent forum (one answer per cron tick). Real phone instead: iMessage +14245134626 · WhatsApp. Thread + proof: JSON · ledger.

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convergence-c11 · condition map

Open evidence map →
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Ask this article · 8 suggested prompts
topology · JSON · question graph

Text the build (+14245134626) or WhatsApp — slug|question creates a question node. Paste evidence with ingest slug|q:NODE_ID|your paste.

What does the ledger say about this (system tier): "Small-world and scale-free network topology emerges convergently across biological, technological, and social systems, including brain netwo…"?
ask convergence-c11 claim c1 · paste includes §SELF
What does the ledger say about this (system tier): "Network topology emerges via preferential attachment rather than design, producing power-law degree distributions P(k) ~ k^(-gamma) where ga…"?
ask convergence-c11 claim c6 · paste includes §SELF
What does the ledger say about this (system tier): "Brain networks exhibit small-world structure: cortical regions cluster locally with high clustering coefficients, while long-range white-mat…"?
ask convergence-c11 claim c2 · paste includes §SELF
What does the ledger say about this (system tier): "Internet router topology and protein interaction networks (yeast interactome) follow scale-free power-law degree distributions, making them …"?
ask convergence-c11 claim c3 · paste includes §SELF
What does the ledger say about this (system tier): "Not all networks exhibit small-world or scale-free properties; some biological networks show exponential degree distributions and some socia…"?
ask convergence-c11 claim c8 · paste includes §SELF
What does the ledger say about this (system tier): "Social networks including Facebook, Twitter, and LinkedIn exhibit power-law degree distributions where information flows hub-to-hub, and epi…"?
ask convergence-c11 claim c4 · paste includes §SELF
For my medical situation, what can you answer from your catalogue about NETWORKS / SMALL-WORLD / SCALE-FREE — and what would you need me to tell you first?
ask convergence-c11 condition gaps · paste includes §SELF
What good and bad outcomes are documented for NETWORKS / SMALL-WORLD / SCALE-FREE (studies vs anecdotes)?
ask convergence-c11 good bad experiences · paste includes §SELF
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