{"_self":{"principle":"Self-explaining payload — no external context required. This _self block describes what you are reading and where to look next.","widget":"article_bundle","feature":"bundle","name":"LLM article bundle","what":"Paste-ready package: body + claims + sources + voxels + provenance + manifest + constitution.","contains":"body, claims, sources, voxels, provenance, question graph, constitution, llm_manifest","slug":"convergence-encyclopedia-c18","urls":{"read":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle?format=markdown"},"how_to_use":"Paste into any LLM. Read §SELF first. Write back via ingest or claim endpoints in llm_manifest.","write":null,"imessage":null,"router_tag":null,"proof_chain":[{"step":1,"claim":"Articles are voxel graphs of tiered claims, not prose blobs.","verify":"https://miscsubjects.com/api/articles/constitution"},{"step":2,"claim":"Claims link to hash-chained sources via source_ids.","verify":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/sources"},{"step":3,"claim":"Ask reads topology; ingest/claim append to ledger.","verify":"https://miscsubjects.com/api/protocol"},{"step":4,"claim":"Models queue growth: populate → collaborate → repair → reflex.","verify":"https://miscsubjects.com/api/protocol/grow"},{"step":5,"claim":"Graph proves its own shape (reflex) and $/claim (yield).","verify":"https://miscsubjects.com/graph.html?layer=reflex"},{"step":6,"claim":"Full feature index + _explain on every API response.","verify":"https://miscsubjects.com/api/articles/system-map"}],"related_features":[{"id":"topology","name":"Article topology","what":"Claims, sources, anecdotes, user reports, related embeds, question graph slice — for ask/ROUTER.","urls":{"read":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/topology"}},{"id":"voxels","name":"Voxel graph","what":"Claims as atoms, sources as edges (supported_by, posted_by). Per-claim provenance.","urls":{"read":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/voxels","write":"https://miscsubjects.com/api/protocol/claim"}},{"id":"ask","name":"Ask protocol","what":"Answer only from topology; creates question_node with gaps and ingest_hint.","urls":{"read":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/prompts","write":"https://miscsubjects.com/api/protocol/ask"}},{"id":"ingest","name":"Ingest protocol","what":"Parse pasted evidence → source ledger + claims + evidence_ingest node.","urls":{"write":"https://miscsubjects.com/api/protocol/ingest"}},{"id":"claim_post","name":"Claim post protocol","what":"Prompt-injection style POST — one claim voxel with who_claims + posted_by.","urls":{"read":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/voxels","write":"https://miscsubjects.com/api/protocol/claim"}},{"id":"llm_manifest","name":"LLM manifest","what":"Machine-readable read/write contract for external LLMs.","urls":{"read":"https://miscsubjects.com/api/articles/llm-manifest"}}],"system_map":"https://miscsubjects.com/api/articles/system-map","system_map_markdown":"https://miscsubjects.com/api/articles/system-map?format=markdown","not_medical_advice":true},"_explain":{"feature":"bundle","name":"LLM article bundle","what":"Paste-ready package: body + claims + sources + voxels + provenance + manifest + constitution.","why":"Every feature is auditable collective intelligence","how":"Paste into any LLM. Read §SELF first. Write back via ingest or claim endpoints in llm_manifest.","model":null,"verifies":null,"urls":{"read":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle?format=markdown"},"imessage":null,"router":null,"related":[{"id":"topology","what":"Claims, sources, anecdotes, user reports, related embeds, question graph slice — for ask/ROUTER."},{"id":"voxels","what":"Claims as atoms, sources as edges (supported_by, posted_by). Per-claim provenance."},{"id":"ask","what":"Answer only from topology; creates question_node with gaps and ingest_hint."},{"id":"ingest","what":"Parse pasted evidence → source ledger + claims + evidence_ingest node."},{"id":"claim_post","what":"Prompt-injection style POST — one claim voxel with who_claims + posted_by."},{"id":"llm_manifest","what":"Machine-readable read/write contract for external LLMs."}],"not_medical_advice":true},"bundle_version":1,"generated_at":"2026-07-04T06:22:17.024Z","slug":"convergence-encyclopedia-c18","title":"Convergence Encyclopedia: C18 — Waves / Oscillatory Transmission","url":"https://miscsubjects.com/a/convergence-encyclopedia-c18","register":"oip_protocol","tags":["OIP","convergence-encyclopedia","node"],"posted_at":"2026-07-04T03:18:41.030Z","updated_at":"2026-07-04T05:01:06.351Z","body":"CRITICAL CORRECTION (v1→encyclopedia): The word “wave” equivocates between two fundamentally different phenomena. C18 is split into two sub-claims. They share the word but not the mathematics.\n\nC18a — LINEAR WAVE EQUATION SOLUTIONS\n\n**F1 — Tier.** T0 (mathematical — the wave equation is a linear PDE with provable properties).\n\n**F2 — Sources.** \n- d’Alembert, J. le Rond (1746). “Recherches sur la courbe que forme une corde tendue mise en vibration.” Memoires de l’Academie des Sciences, 3, 214–219.\n- Fourier, J.B.J. (1822). Theorie Analytique de la Chaleur. Didot.\n- Maxwell, J.C. (1865). “A dynamical theory of the electromagnetic field.” Philosophical Transactions of the Royal Society, 155, 459–512.\n- Schroedinger, E. (1926). “Quantisierung als Eigenwertproblem.” Annalen der Physik, 384(4), 361–376.\n\n**F3 — Domains.** Light (electromagnetic waves), sound (acoustic waves), water surface waves, gravitational waves, quantum matter waves.\n\n**F4 — Scale.** Electromagnetic wavelength (~10⁻¹² m, gamma) → (~10³ m, radio); gravitational waves (~10⁶ m, LIGO detection).\n\n**F5 — Falsifier.** n/a (mathematical). The linear wave equation ∂²u/∂t² = c²∇²u is a solved PDE; its properties are proven. The physical claim — that particular phenomena obey this equation — is empirical and domain-specific.\n\n**F6 — Rival.** The linear wave equation is a first-order approximation; all real wave phenomena become nonlinear at sufficient amplitude. The convergence on the linear equation is a feature of small-amplitude regimes, not a deep fact about nature. (Whitham 1974 Linear and Nonlinear Waves; standard position in applied mathematics.)\n\n**F7 — Independence.** Mathematical framework — universal by proof. Physical instantiations (EM, sound, gravity, quantum) were discovered independently.\n\n**F8 — Pattern type.** Mathematical.\n\n**F9 — Maps.** A7 (pattern geometry).\n\nC18b — EXCITABLE MEDIA / LIMIT CYCLES\n\n**F1 — Tier.** T1 (established phenomenology across biology and chemistry; mathematical framework well-developed).\n\n**F2 — Sources.** \n- Hodgkin, A.L. & Huxley, A.F. (1952). “A quantitative description of membrane current and its application to conduction and excitation in nerve.” Journal of Physiology, 117(4), 500–544.\n- FitzHugh, R. (1961). “Impulses and physiological states in theoretical models of nerve membrane.” Biophysical Journal, 1(6), 445–466.\n- Nagumo, J., Arimoto, S. & Yoshizawa, S. (1962). “An active pulse transmission line simulating nerve axon.” Proceedings of the IRE, 50(10), 2061–2070.\n- Lotka, A.J. (1925). Elements of Physical Biology. Williams & Wilkins.\n- Volterra, V. (1926). “Variazioni e fluttuazioni del numero d’individui in specie animali conviventi.” Memorie della Reale Accademia Nazionale dei Lincei, 2(31–113).\n\n**F3 — Domains.** Neural action potentials, cardiac pacemaker cells and arrhythmias, population cycles (predator-prey), Belousov-Zhabotinsky chemical oscillations, calcium waves.\n\n**F4 — Scale.** Neural membrane (~10⁻⁸ m) → population cycles (~10⁶ m, regional ecology).\n\n**F5 — Falsifier.** An excitable medium that propagates pulses without threshold, refractory period, or fixed amplitude — i.e., a nonlinear pulse that behaves like a linear wave (obeys superposition, scales with input).\n\n**F6 — Rival (strongest form).** The term “wave” is misleadingly applied to both linear wave equation solutions (C18a) and excitable media pulses (C18b). These are different phenomena. Excitable media pulses are nonlinear, have fixed amplitude independent of stimulus strength, and annihilate on collision — none of which are properties of linear waves. The convergence is linguistic, not mathematical. (Winfree 1987 When Time Breaks Down; Keener & Sneyd 1998 Mathematical Physiology.)\n\n**F7 — Independence.** HIGH. Hodgkin-Huxley (physiology, Cambridge, 1952), FitzHugh-Nagumo (biophysics/engineering, 1961–1962), Lotka-Volterra (mathematical biology, 1925–1926) — independent discoveries. The mathematical framework (dynamical systems, limit cycles) was unified retrospectively by Poincaré’s successors.\n\n**F8 — Pattern type.** Biological.\n\n**F9 — Maps.** A7 (pattern geometry).\n\n---\n\n## Corpus map\n- Previous: [Convergence Encyclopedia: C17](/a/convergence-encyclopedia-c17)\n- Next: [Convergence Encyclopedia: C19](/a/convergence-encyclopedia-c19)\n- Encyclopedia start: [The Schema](/a/convergence-encyclopedia-schema)\n- Same node, other planes: [Catalogue node C18](/a/oip-node-c18-waves-oscillatory-transmission) · [Catalogue hub](/a/oip-convergence-public-article)\n- Kin corpora: [Total Structure](/a/oip-total-structure) · [Signature of the Grain](/a/oip-sog-preamble-axioms)","claims":[],"sources":[],"voxels":{"slug":"convergence-encyclopedia-c18","counts":{"voxels":0,"sources":0,"edges":0},"note":"slim bundle — full voxels at /api/articles/convergence-encyclopedia-c18/voxels"},"constitution":{"url":"https://miscsubjects.com/api/articles/constitution"},"provenance":[{"action":"fill","model":"claude-fable-5","ts":"2026-07-04T03:39:39.942Z","hash":"a686a1f9b9bfb1af","tokens_in":0,"tokens_out":0},{"action":"edit","model":"claude-fable-5","ts":"2026-07-04T04:38:44.885Z","hash":"f38fb5341c97bac0","tokens_in":0,"tokens_out":0},{"action":"edit","model":"claude-fable-5","ts":"2026-07-04T05:01:06.351Z","hash":"ec2fa84cf8ed01f7","tokens_in":0,"tokens_out":0}],"contributions":[],"topology":null,"slim":true,"ledger_totals":{"claims":0,"sources":0,"exported_claims":0,"exported_sources":0},"question_graph":{"slug":"convergence-encyclopedia-c18","questions":[],"evidence":[],"edges":[],"counts":{"questions":0,"evidence":0,"edges":0}},"verification":{"provenance":{"valid":true,"entries":3,"head":"ec2fa84cf8ed01f7e6918f9fe62d2ba1778a7561cc1ffb50558630b0157fa875"},"sources":{"valid":true,"entries":0,"head":"genesis"}},"counts":{"claims":0,"sources":0,"provenance":3,"contributions":0,"questions":0,"evidence_ingests":0,"voxel_edges":0},"llm_manifest":{"version":"1","site":"https://miscsubjects.com","purpose":"Peptide evidence articles with hash-chained source ledgers, tiered claims, and a question graph. LLMs should READ bundles/URLs and WRITE back via ingest — never invent doses.","read":{"human_page":"https://miscsubjects.com/a/convergence-encyclopedia-c18","bundle_json":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle","bundle_markdown":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle?format=markdown","topology":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/topology","question_graph":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/question-graph","sources":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/sources","provenance":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/provenance","contributions":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/contributions","graph_topology":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/graph-topology?question={question}","voxels":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/voxels","constitution":"https://miscsubjects.com/api/articles/constitution","ontology":"https://miscsubjects.com/api/articles/ontology","system_map":"https://miscsubjects.com/api/articles/system-map","system_map_markdown":"https://miscsubjects.com/api/articles/system-map?format=markdown","health":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/health","repair":"POST https://miscsubjects.com/api/protocol/repair","list_articles":"https://miscsubjects.com/api/articles","graph_canvas":"https://miscsubjects.com/graph.html?slugs=convergence-encyclopedia-c18","graph_yield":"https://miscsubjects.com/api/graph?slugs=convergence-encyclopedia-c18&layer=yield","obsidian_vault":"https://miscsubjects.com/api/articles/obsidian-vault?slugs=convergence-encyclopedia-c18","graph_query":"https://miscsubjects.com/api/v1/query?from=convergence-encyclopedia-c18&kind=claim&where=tier=human"},"ask":{"description":"Answer only from topology; creates a question_node with gaps.","api":"POST https://miscsubjects.com/api/protocol/ask","body":{"slug":"{slug}","question":"string"},"imessage":"convergence-encyclopedia-c18|your question","router_tag":"[ARTICLE_ASK]convergence-encyclopedia-c18|question[/ARTICLE_ASK]","auth":"x-terminal-key header for API; iMessage/WhatsApp via miscsubjects build"},"ingest":{"description":"Parse pasted evidence → source ledger + claims + evidence_ingest node.","api":"POST https://miscsubjects.com/api/protocol/ingest","body":{"slug":"{slug}","evidence":"paste text","question_node_id":"optional qn_..."},"imessage":"ingest convergence-encyclopedia-c18|q:{node_id}|paste evidence","router_tag":"[ARTICLE_INGEST]convergence-encyclopedia-c18|evidence[/ARTICLE_INGEST]","tiers":["human","preclinical","anecdotal","mechanistic","speculative"]},"claim":{"description":"Prompt-injection style POST — one claim voxel with who_claims + posted_by provenance.","api":"POST https://miscsubjects.com/api/protocol/claim","body":{"slug":"{slug}","text":"one assertion","tier":"human|preclinical|anecdotal|mechanistic|speculative","who_claims":"study author, platform, or model id","source_ids":"optional [s1]"},"imessage":"claim convergence-encyclopedia-c18|tier|assertion — who claims it?","router_tag":"[ARTICLE_CLAIM]convergence-encyclopedia-c18|tier|assertion[/ARTICLE_CLAIM]","slots":["what_it_is","who_claims_what","what_is_known","what_is_unknown","mechanism","limitations","disclaimer"]},"tiers":{"human":0.8,"preclinical":0.5,"anecdotal":0.3,"mechanistic":0.3,"speculative":0.1},"invariants":["Self-explaining — every API JSON has _self; every paste widget has §SELF; root index at /api/articles/system-map","Append-only — revisions preserved at ?rev=n","Source chain verifies integrity, not truth","Answers must cite claim ids and source ids from topology","Not medical advice"],"constitution":{"version":1,"principle":"Articles are voxel graphs of claims — not prose blobs. Every assertion is a claim atom with tier, weight, source_ids, and posted_by provenance.","slots":[{"id":"what_it_is","required":true,"answers":"What is this peptide/stack/condition?"},{"id":"who_claims_what","required":true,"answers":"Who claims what — study authors, platforms, n=?"},{"id":"what_is_known","required":true,"answers":"What is known with tier labels (human/preclinical/anecdotal)"},{"id":"what_is_unknown","required":true,"answers":"What is NOT known — explicit gaps"},{"id":"mechanism","required":false,"answers":"Proposed mechanism (mechanistic tier only)"},{"id":"limitations","required":true,"answers":"Limits of evidence — no dose advice"},{"id":"disclaimer","required":true,"answers":"Not medical advice"}],"claim_rules":["One claim = one falsifiable assertion. No compound claims.","Every claim must declare tier: human|preclinical|anecdotal|mechanistic|speculative|system.","system tier = architecture/design axioms (not biological mechanism). Use for protocol self-definition.","Sourced claims must cite source_ids from the hash-chained ledger.","Unsourced claims must set source_status: unsourced and why_material.","posted_by is mandatory on every new claim (model id, human, or channel).","No medical advice, no doses, no 'you should take'.","Bad information is retracted (status:retracted), never deleted — retraction event stays on ledger.","Adversary challenges link via challenges[] / challenged_by[] — target may be downweighted.","Leaked secrets are scrubbed to [REDACTED:secret-leak] with scrub_events tombstone — honest audit trail."],"source_rules":["Every source is a voxel edge: type, url, exact quote, summary, found_by, accessed_at.","Sources hash-chain — prev/hash on append.","Anecdotal sources must name platform (reddit|x|youtube|imessage|user_entry)."],"ontology_rules":["Peptide articles (bpc-157, tb-500) are tree roots.","Condition articles (bpc-157-glp1-gut-damage) branch from peptides.","Stack articles (wolverine-stack-glp1) compose peptides — never duplicate peptide mechanism prose.","If an article has no parent embeds and is not a root peptide → sprawl candidate.","Misstep = duplicate scope with another slug; merge or reparent via embeds."],"post_protocol":{"claim":"POST /api/protocol/claim","source":"POST /api/protocol/sources","ingest":"POST /api/protocol/ingest","webhook":"POST /api/articles/<slug>/webhook {kind:claim|source}","imessage_claim":"claim {slug}|{tier}|your assertion — who claims it, source?","imessage_ingest":"ingest {slug}|evidence paste"}},"this_article":{"slug":"convergence-encyclopedia-c18","url":"https://miscsubjects.com/a/convergence-encyclopedia-c18","bundle_url":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle?format=markdown"}},"api_urls":{"bundle":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle","bundle_markdown":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/bundle?format=markdown","topology":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/topology","voxels":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/voxels","constitution":"https://miscsubjects.com/api/articles/constitution","ontology":"https://miscsubjects.com/api/articles/ontology","question_graph":"https://miscsubjects.com/api/articles/convergence-encyclopedia-c18/question-graph","ask":"https://miscsubjects.com/api/protocol/ask","ingest":"https://miscsubjects.com/api/protocol/ingest","claim":"https://miscsubjects.com/api/protocol/claim","system_map":"https://miscsubjects.com/api/articles/system-map","system_map_markdown":"https://miscsubjects.com/api/articles/system-map?format=markdown"}}