miscsubjectsAI governance
Evidence review · source

Bak, Tang & Wiesenfeld — Self-Organized Criticality (1987)

bundle · json · system map · manifest

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 portable reference

**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:** `bak-1987`
- **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/bak-1987

### Logical proof (verify each step)
1. Articles are voxel graphs of tiered claims, not prose blobs. → https://miscsubjects.com/api/articles/constitution
2. Claims link to hash-chained sources via source_ids. → https://miscsubjects.com/api/articles/bak-1987/sources
3. Ask reads topology; ingest/claim append to ledger. → https://miscsubjects.com/api/protocol
4. Models queue growth: populate → collaborate → repair → reflex. → https://miscsubjects.com/api/protocol/grow
5. Graph proves its own shape (reflex) and $/claim (yield). → https://miscsubjects.com/graph.html?layer=reflex
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** — Portable reference package: body + claims + sources + voxels + provenance + manifest + constitution. · https://miscsubjects.com/api/articles/bak-1987/bundle?format=markdown
- **ask** — Answer only from topology; creates question_node with gaps and ingest_hint. · https://miscsubjects.com/api/articles/bak-1987/prompts
- **topology** — Claims, sources, anecdotes, user reports, related embeds, question graph slice — for ask/ROUTER. · https://miscsubjects.com/api/articles/bak-1987/topology

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

### §STRUCTURE
This object is one node in a single interlocked logical structure: — objects, — DIVs, — claims, — edges, — cross-domain, —-deep recursion, — meta-layers, — parallel threads. One axiom is load-bearing across all — domains. Live index: https://miscsubjects.com/api/metrics/structure

### §INTEGRITY
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### §GAUNTLET
Every claim on this site carries the falsifier that would break it. It is not fixed. You can change what this site says by defeating what it says. Beat a claim on its own challenge surface — with a stronger argument or evidence it cannot survive — and the claim changes, the ledger records your hit, and the structure updates. Nothing here is protected from prosecution. It has only ever grown by being prosecuted.

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

System notes

Slowly driven, interaction-dominated systems naturally self-organize to critical states without any external tuning of a control parameter.

The sandpile cellular automaton on a lattice, with threshold toppling rule z_i ≥ z_c → z_i − 4 and neighbors +1, produces avalanche size distributions obeying a power law P(s) ~ s^(−τ) with τ ≈ 1.0 in two dimensions.

Not all observed power laws indicate criticality; some are generated by mechanisms such as preferential attachment that do not involve threshold-driven avalanche dynamics.

The 1987 sandpile model idealizes real granular media by abstracting away inertia, friction, and grain shape; these omissions may limit the model's direct physical applicability.

Evidence · 5 sources · swipe →chain · verify chain · provenance
1 / 5
Evidence ledger 6 · tier-ranked · API
system
Slowly driven, interaction-dominated systems naturally self-organize to critical states without any external tuning of a control parameter.
sources: src1
system
The sandpile cellular automaton on a lattice, with threshold toppling rule z_i ≥ z_c → z_i − 4 and neighbors +1, produces avalanche size distributions obeying a power law P(s) ~ s^(−τ) with τ ≈ 1.0 in two dimensions.
sources: src1, src2
system
Not all observed power laws indicate criticality; some are generated by mechanisms such as preferential attachment that do not involve threshold-driven avalanche dynamics.
sources: src4
system
The 1987 sandpile model idealizes real granular media by abstracting away inertia, friction, and grain shape; these omissions may limit the model's direct physical applicability.
sources: src1
speculative
Self-organized criticality is the common underlying mechanism behind the phenomenon of 1/f noise and the behavior of the sandpile.
sources: src1
1 more ranked claim
anecdotal0.60
Real systems including earthquakes, rice piles, solar flares, and neuronal avalanches exhibit statistics consistent with SOC, spanning over twenty-one orders of magnitude in scale.
sources: src1, src3
Ask this article · 8 suggested prompts

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): "Slowly driven, interaction-dominated systems naturally self-organize to critical states without any external tuning of a control parameter."?
ask bak-1987 claim c1 · paste includes §SELF
What does the ledger say about this (system tier): "The sandpile cellular automaton on a lattice, with threshold toppling rule z_i ≥ z_c → z_i − 4 and neighbors +1, produces avalanche size dis…"?
ask bak-1987 claim c2 · paste includes §SELF
What does the ledger say about this (system tier): "Not all observed power laws indicate criticality; some are generated by mechanisms such as preferential attachment that do not involve thres…"?
ask bak-1987 claim c5 · paste includes §SELF
What does the ledger say about this (system tier): "The 1987 sandpile model idealizes real granular media by abstracting away inertia, friction, and grain shape; these omissions may limit the …"?
ask bak-1987 claim c6 · paste includes §SELF
What does the ledger say about this (speculative tier): "Self-organized criticality is the common underlying mechanism behind the phenomenon of 1/f noise and the behavior of the sandpile."?
ask bak-1987 claim c3 · paste includes §SELF
What does the ledger say about this (anecdotal tier): "Real systems including earthquakes, rice piles, solar flares, and neuronal avalanches exhibit statistics consistent with SOC, spanning over …"?
ask bak-1987 claim c4 · paste includes §SELF
For my medical situation, what can you answer from your catalogue about Bak, Tang & Wiesenfeld — Self-Organized Criticality (1987) — and what would you need me to tell you first?
ask bak-1987 condition gaps · paste includes §SELF
What good and bad outcomes are documented for Bak, Tang & Wiesenfeld — Self-Organized Criticality (1987) (studies vs anecdotes)?
ask bak-1987 good bad experiences · paste includes §SELF
bak-1987 · posted 2026-07-04 · updated 2026-07-17 · 1 prior revision
Ledger API & provenance
Provenance · 1 model pass · tokens/cost unrecorded · 1 model
chain head cde1ab29148f45ce
voxel_divide owner · 2026-07-17 02:38 · tokens unrecorded · cde1ab29148f
verify chain →
Live ledger · 50 payloads · 0 turns
recent activity · inspect
JCI_TRAFFIC jci · HTTP 200 · 2026-07-28 21:50
JCI_TRAFFIC jci · HTTP 200 · 2026-07-28 19:58
JCI_CLASSIFY jci · HTTP 200 · 2026-07-28 14:28
JCI_TRAFFIC jci · HTTP 200 · 2026-07-28 14:28
JCI_CLASSIFY jci · HTTP 200 · 2026-07-28 11:31
JCI_TRAFFIC jci · HTTP 200 · 2026-07-28 11:31
view full ledger & cards →
REST + ledger
read GET /api/articles/bak-1987 · GET /api/articles/bak-1987?format=post (the editable body)
create/replace POST /api/articles/bak-1987 · PUT /api/articles/bak-1987 (replace, keeps revision) · PATCH /api/articles/bak-1987 (merge)
delete DELETE /api/articles/bak-1987
writes need header x-terminal-key
LLM bundle GET /api/articles/bak-1987/bundle?format=markdown — body + claims + sources + provenance + manifest
post claim POST /api/protocol/claim · iMessage claim bak-1987|tier|assertion
system map GET /api/articles/system-map?format=markdown — root index; every widget self-explains via §SELF / _self
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