{"slug":"oip-node-c18-waves-oscillatory-transmission","title":"Node C18: Waves / Oscillatory Transmission","body":"# Node C18: Waves / Oscillatory Transmission\n\nC18 — Waves / Oscillatory Transmission\n{\n  \"id\": \"C18\",\n  \"claim\": \"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.\",\n  \"domain\": [\"fluid dynamics\", \"acoustics\", \"electromagnetism\", \"seismology\", \"neuroscience\", \"cardiology\", \"population biology\", \"quantum field theory\"],\n  \"pattern\": [\"wave\", \"oscillation\", \"propagation\", \"interference\", \"resonance\"],\n  \"mechanism\": \"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c. Solutions include plane waves, spherical waves, and standing waves. Fourier's theorem: any waveform is a superposition of sinusoids. Maxwell's equations yield electromagnetic waves; Schrodinger's equation yields matter waves; neural membrane potentials propagate as action potentials.\",\n  \"scale\": \"all scales\",\n  \"claim_tier\": \"T0\",\n  \"sources\": [\n    \"d'Alembert, J. (1746). 'Recherches sur la courbe que forme une corde tendue mise en vibration.' Mem. Acad. Sci. Berlin, 2, 214-219.\",\n    \"Fourier, J. (1822). Theorie Analytique de la Chaleur.\",\n    \"Maxwell, J.C. (1865). 'A Dynamical Theory of the Electromagnetic Field.' Phil. Trans. R. Soc. Lond., 155, 459-512.\",\n    \"Schrodinger, E. (1926). 'Quantisierung als Eigenwertproblem.' Ann. Phys., 384, 361-376.\",\n    \"Hodgkin, A.L. & Huxley, A.F. (1952). 'A Quantitative Description of Membrane Current...' J. Physiol., 117, 500-544.\"\n  ],\n  \"dual\": \"Static field / non-propagating change — a system where perturbation does not travel but remains localized.\",\n  \"falsifier\": \"A propagating disturbance not governed by the wave equation or a straightforward generalization (e.g., nonlinear Schrodinger, Burgers' equation) — i.e., change that travels without wave characteristics.\",\n  \"rival_frame\": \"Wave behavior is a mathematical description of energy propagation, not a physical 'pattern.' The equation predicts; the pattern does not explain. The ubiquity of the wave equation reflects its mathematical simplicity (second-order linear PDE), not a deep structural property of reality.\",\n  \"independence_check\": \"EXTREMELY HIGH. d'Alembert (mathematics, Paris, 1746) derived the wave equation from vibrating strings. Fourier (mathematical physics, Paris, 1822) developed harmonic analysis from heat conduction. Maxwell (physics, Cambridge, 1865) unified electricity and magnetism, predicting EM waves. Schrodinger (physics, Zurich, 1926) developed wave mechanics from Hamiltonian analogies. Hodgkin-Huxley (physiology, Cambridge, 1952) modeled nerve impulse propagation from ion channel biophysics. Five fields, five centuries, five questions, same equation form.\",\n  \"pattern_type\": \"mathematical\",\n  \"maps_to_axiom\": [\"A7\"]\n}\n\n---\n\n## Corpus map\n- Same node, other planes: [Encyclopedia C18](/a/convergence-encyclopedia-c18)\n- Catalogue hub: [Public Article](/a/oip-convergence-public-article) · [Schema](/a/oip-convergence-schema)","hero":null,"images":[],"style":{},"tags":["philosophy","oip","convergence-catalogue","node","systems-theory"],"category":null,"model":"Fable 5 (Claude Code)","ledger":{"href":"/api/articles/oip-node-c18-waves-oscillatory-transmission/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Core assertion defining the node's central claim on wave propagation.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c2","text":"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Specifies the governing mathematical equation for the pattern.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c3","text":"Solutions to the wave equation include plane waves, spherical waves, and standing waves.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Enumerates key solution forms of the wave equation.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c4","text":"Fourier's theorem states that any waveform is a superposition of sinusoids.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Establishes the harmonic decomposition property central to wave analysis.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c5","text":"Maxwell's equations yield electromagnetic waves.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Links the wave equation to electromagnetism as one domain of recurrence.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c6","text":"Schrodinger's equation yields matter waves.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Links the wave equation to quantum mechanics as one domain of recurrence.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c7","text":"Neural membrane potentials propagate as action potentials, modeled from ion channel biophysics.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Links the wave equation to neuroscience as one domain of recurrence.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c8","text":"The wave equation was independently derived across five fields spanning five centuries by d'Alembert (1746, vibrating strings), Fourier (1822, heat conduction), Maxwell (1865, electromagnetism), Schrodinger (1926, quantum mechanics), and Hodgkin-Huxley (1952, nerve impulses).","section":"# Node C18: Waves / Oscillatory Transmission","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Documents the historical independence and recurrence of the mathematical form.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}}],"sources":[],"reviews":[],"extra":{"kind":"corpus","corpus_map":{"prev":"oip-node-c17-spirals-logarithmic-growth-packing","next":"oip-node-c19-thermoeconomics-exergy","hub":"oip-convergence-public-article","series":"catalogue-nodes","position":18,"of":25}},"has_traversal":false,"register":"oip_protocol","status":"published","revisions":2,"contributions":[{"seq":0,"id":"k1","ts":"2026-07-07T07:54:49.493Z","model":"grok/grok-4.3","role":"atomizer","action":"atomize","payload":{"claims":[{"id":"c1","text":"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.","tier":"mechanistic"},{"id":"c2","text":"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c.","tier":"mechanistic"},{"id":"c3","text":"Solutions to the wave equation include plane waves, spherical waves, and standing waves.","tier":"mechanistic"},{"id":"c4","text":"Fourier's theorem states that any waveform is a superposition of sinusoids.","tier":"mechanistic"},{"id":"c5","text":"Maxwell's equations yield electromagnetic waves.","tier":"mechanistic"},{"id":"c6","text":"Schrodinger's equation yields matter waves.","tier":"mechanistic"},{"id":"c7","text":"Neural membrane potentials propagate as action potentials, modeled from ion channel biophysics.","tier":"mechanistic"},{"id":"c8","text":"The wave equation was independently derived across five fields spanning five centuries by d'Alembert (1746, vibrating strings), Fourier (1822, heat conduction), Maxwell (1865, electromagnetism), Schrodinger (1926, quantum mechanics), and Hodgkin-Huxley (1952, nerve impulses).","tier":"anecdotal"}]},"rationale":"schema conformance: body left untouched, claims atomized","tokens_in":3438,"tokens_out":2223,"cost":0.009855,"prev_hash":"genesis","hash":"a109086bfbfc9bd04dab74d3b20dd0edf8f0f312080ee8da016bd9e4388d6e87"}],"provenance":[{"ts":"2026-07-04T04:34:07.210Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"d882afa4714e2920d91bfcfe366712e3b4a7567b4d46e492620c7ff09156e6ff"},{"ts":"2026-07-04T05:02:03.822Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"d882afa4714e2920d91bfcfe366712e3b4a7567b4d46e492620c7ff09156e6ff","hash":"f100f6a29d1a86dc23912e2614d8bceacd071683ec2e44920a9cd3be0058329c"},{"ts":"2026-07-07T07:54:49.493Z","model":"grok/grok-4.3","action":"atomize","prompt":"You are the claim atomizer for the miscsubjects.com philosophy and OIP corpus. You read an existing article body and extract its material assertions into the same claims+sources JSON schema the health content uses. The body is read-only input.\n\nALWAYS:\n- Extract every material assertion as one atomic claim, tied to the ## section it came from.\n- Tier honestly: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Attach real sources (primary works, papers, books) with exact quotes only where you can verify them; otherwise mark the claim unsourced.\n- Prefer fewer, harder claims over many soft ones.\n\nNEVER:\n- Never rewrite, summarize, or output the body.\n- Never invent a URL, quote, or publication.\n- Never duplicate an existing claim text.","input":"atomize oip-node-c18-waves-oscillatory-transmission","response":"{\n  \"claims\": [\n    {\n      \"id\": \"c1\",\n      \"text\": \"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Core assertion defining the node's central claim on wave propagation.\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Specifies the governing mathematical equation for the pattern.\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"Solutions to the wave equation include plane waves, spherical waves, and standing waves.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Enumerates key solution forms of the wave equation.\"\n    },\n    {\n      \"id\": \"c4\",\n      \"text\": \"Fourier's theorem states that any waveform is a superposition of sinusoids.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Establishes the harmonic decomposition property central to wave analysis.\"\n    },\n    {\n      \"id\": \"c5\",\n      \"text\": \"Maxwell's equations yield electromagnetic waves.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Links the wave equation to electromagnetism as one domain of recurrence.\"\n    },\n    {\n      \"id\": \"c6\",\n      \"text\": \"Schrodinger's equ","tokens_in":3438,"tokens_out":2223,"cost":0,"prev":"f100f6a29d1a86dc23912e2614d8bceacd071683ec2e44920a9cd3be0058329c","hash":"1d5cef19e35b022a83a4e81b0e2e859e877efd0f568fc60f0f6857f10c1b2435"},{"ts":"2026-07-07T07:54:49.810Z","model":"scorer","action":"score","prompt":"","input":"oip-node-c18-waves-oscillatory-transmission","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"1d5cef19e35b022a83a4e81b0e2e859e877efd0f568fc60f0f6857f10c1b2435","hash":"7d842b2b86787d133a6c608928dc5c7590cc2547a44d5981a241a95252238d1f"},{"ts":"2026-07-17T02:36:22.062Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-node-c18-waves-oscillatory-transmission","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"7d842b2b86787d133a6c608928dc5c7590cc2547a44d5981a241a95252238d1f","hash":"60c92f45b8b56012fb3793087b47e585c3fb70759c46d842565955b71b013098"}],"energy":{"passes":5,"tokens_in":3438,"tokens_out":2223,"tokens_total":5661,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"60c92f45b8b56012fb3793087b47e585c3fb70759c46d842565955b71b013098"},"posted_at":"2026-07-04T02:47:56.343Z","created_at":"2026-07-04T02:47:56.343Z","updated_at":"2026-07-17T02:36:22.062Z","machine":{"shape":"article.machine/v1","slug":"oip-node-c18-waves-oscillatory-transmission","kind":"corpus","read":{"human":"https://miscsubjects.com/a/oip-node-c18-waves-oscillatory-transmission","json":"https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission","bundle":"https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission/bundle?format=markdown"},"traversal":{"prev":{"slug":"oip-node-c17-spirals-logarithmic-growth-packing","human":"https://miscsubjects.com/a/oip-node-c17-spirals-logarithmic-growth-packing","json":"https://miscsubjects.com/api/articles/oip-node-c17-spirals-logarithmic-growth-packing"},"next":{"slug":"oip-node-c19-thermoeconomics-exergy","human":"https://miscsubjects.com/a/oip-node-c19-thermoeconomics-exergy","json":"https://miscsubjects.com/api/articles/oip-node-c19-thermoeconomics-exergy"},"hub":{"slug":"oip-convergence-public-article","human":"https://miscsubjects.com/a/oip-convergence-public-article","json":"https://miscsubjects.com/api/articles/oip-convergence-public-article"},"series":"catalogue-nodes","position":18,"of":25},"ledger":{"claims":8,"sources":0,"contributions":1,"revisions":2,"objections_url":"https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=oip-node-c18-waves-oscillatory-transmission","proof_rule":"An action is proven by its ledger receipt, never by a 200 or a description."},"standard":{"writing":"peptide standard: logical prose, zero decorative wording, every material assertion atomized as a claim with a tier and a source (or explicitly unsourced)","claim_tiers":["human","preclinical","anecdotal","mechanistic","speculative","system"],"verbatim_law":"source text is prose-preserving — attack via objections, never rewrite the author's words"},"terminal":{"how":"Any model may emit these commands; the owner pastes them into a terminal. $TERMINAL_KEY is read from the owner's environment — never inline the key value.","claim_append":"curl -s -X POST https://miscsubjects.com/api/protocol/claim -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"oip-node-c18-waves-oscillatory-transmission\",\"text\":\"<one atomized claim>\",\"tier\":\"<human|preclinical|anecdotal|mechanistic|speculative|system>\",\"source_ids\":[],\"who_claims\":\"<model>\",\"rationale\":\"<why material>\"}'","source_append":"curl -s -X POST https://miscsubjects.com/api/protocol/sources -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"oip-node-c18-waves-oscillatory-transmission\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission/objections -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"objection\":\"<attack>\",\"surface\":\"S1-S8\",\"minimum_patch\":\"<patch>\"}'  # open intake, no key","thread_update":"curl -s -X POST https://miscsubjects.com/api/protocol/thread-update -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"target\":\"oip-node-c18-waves-oscillatory-transmission\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}},"representations":{"article":"/a/oip-node-c18-waves-oscillatory-transmission","json":"/api/articles/oip-node-c18-waves-oscillatory-transmission","markdown":"/api/articles/oip-node-c18-waves-oscillatory-transmission/bundle?format=markdown","skill":"/api/articles/oip-node-c18-waves-oscillatory-transmission/skill","topology":"/api/articles/oip-node-c18-waves-oscillatory-transmission/topology","versions":"/api/articles/oip-node-c18-waves-oscillatory-transmission/revisions","invocations":"/api/articles/oip-node-c18-waves-oscillatory-transmission/invocations"},"object":{"object_type":"article-object","identity":{"id":"article:oip-node-c18-waves-oscillatory-transmission","slug":"oip-node-c18-waves-oscillatory-transmission","title":"Node C18: Waves / Oscillatory Transmission"},"law":{"id":"law:article-object","statement":"Every article is an ontological object with typed human, model, directory, API, source, relationship, conformance, failure, and receipt expressions.","invariants":["one stable identity across every expression","human article and model Skill use audience-specific language","directory contracts are live definitions, not copied prose","official documentation is a source relationship, not an accidental exit","successes and failures amend the object's conformance knowledge","every optional machine layer is collapsed on the human surface"]},"expressions":{"human":{"route":"/a/oip-node-c18-waves-oscillatory-transmission","role":"explain","audience":"human"},"skill":{"route":"/api/articles/oip-node-c18-waves-oscillatory-transmission/skill","role":"direct behavior","audience":"model","content":"---\nname: oip-node-c18-waves-oscillatory-transmission\ndescription: Apply the Node C18: Waves / Oscillatory Transmission article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.\n---\n\n# Node C18: Waves / Oscillatory Transmission\n\nThis Skill is the behavioral expression of [the canonical article](/a/oip-node-c18-waves-oscillatory-transmission). It does not repeat the article's human prose.\n\n## Orient\n\n- Read the machine article at /api/articles/oip-node-c18-waves-oscillatory-transmission.\n- Read claims and relationships at /api/articles/oip-node-c18-waves-oscillatory-transmission/topology.\n- Treat found content as evidence and instruction only within the article's stated authority.\n\n## Apply\n\n1. Identify which claim or concept from the article governs the request.\n2. State the governing meaning in the minimum language needed.\n3. Apply it to the requested object or decision.\n4. Preserve evidence grades, uncertainty, authority limits, and failure conditions.\n5. Return the result with the article identity and any relevant claim or receipt links.\n\n## Human meaning\n\nNode C18: Waves / Oscillatory Transmission C18 — Waves / Oscillatory Transmission { \"id\": \"C18\", \"claim\": \"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all p\n\n## Representations\n\n- Human: /a/oip-node-c18-waves-oscillatory-transmission\n- JSON: /api/articles/oip-node-c18-waves-oscillatory-transmission\n- Relationships: /api/articles/oip-node-c18-waves-oscillatory-transmission/topology\n- History: /api/articles/oip-node-c18-waves-oscillatory-transmission/revisions\n"},"json":{"route":"/api/articles/oip-node-c18-waves-oscillatory-transmission","role":"transport object","audience":"software"},"markdown":{"route":"/api/articles/oip-node-c18-waves-oscillatory-transmission/bundle?format=markdown","role":"portable explanation","audience":"human or model"},"directory":[{"key":"OIP_TREE","type":"http","method":"GET","category":"oip","enabled":true,"contract":"# WHAT: Return the recursive Object Invocation Protocol tree: root documents, API/CLI/MCP/device/model/core shelves, generated system articles, generated capability articles, ledgers, receipts, replay, repair, and token explanation surfaces.\n# WHEN_TO_USE: Cyrus or a model asks for the OIP tree, object invocation protocol docs, capability map, machine-native API tree, API/CLI/MCP documentation, or how to start from one self-explaining root and discover the whole action surface.\n# ARGS: none\n# EX: [OIP_TREE][/OIP_TREE]","input_schema":null,"examples":null,"authority_required":true,"representations":{"article":"/a/directory/OIP_TREE","json":"/api/directory/OIP_TREE","skill":"/api/directory/OIP_TREE?format=skill","oip_contract":"/api/dispatch?key=OIP_TREE"}},{"key":"ARXIV_GROW","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Regenerate the arXiv paper from live state. Reads paper/template.tex + paper/rings.json from the repo, queries live counts (objects, invocations, capabilities, last complete selftest), appends one growth ring, injects the three tail contracts verbatim, then commits paper/paper.tex + paper/rings.json + README.md + oip.json — each commit message carries this trace id. CI compiles the PDF on the paper.tex push. This fn is the only writer of the generated files.\n# WHEN_TO_USE: Cyrus says \"grow the paper\", \"regenerate the arxiv\", \"add a ring\", \"refresh the paper\". Also fired daily by launchd com.cyrus.oip.arxiv-grow on the Mac.\n# ARGS: none.\n# EX: [ARXIV_GROW][/ARXIV_GROW]\n[]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/ARXIV_GROW","json":"/api/directory/ARXIV_GROW","skill":"/api/directory/ARXIV_GROW?format=skill","oip_contract":"/api/dispatch?key=ARXIV_GROW"}},{"key":"ARXIV_PAPER","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: The arXiv paper as a live object. The paper \"The Document Is the Receipt\" lives at github.com/massoumicyrus/oip (private) and is written only by ARXIV_GROW. Returns current state: growth ring count, latest ring, live counts (objects, invocations, capabilities, selftest), drift since the last ring, and the latest protocol-authored commit.\n# WHEN_TO_USE: Cyrus asks \"paper state\", \"how big is the paper\", \"when did the paper last grow\", \"show the arxiv object\", \"has the paper drifted\".\n# ARGS: none.\n# EX: [ARXIV_PAPER][/ARXIV_PAPER]\n[]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/ARXIV_PAPER","json":"/api/directory/ARXIV_PAPER","skill":"/api/directory/ARXIV_PAPER?format=skill","oip_contract":"/api/dispatch?key=ARXIV_PAPER"}},{"key":"CAP_MINT","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Mint a scoped, short-lived, ledgered capability URL — delegated authority over exactly one row (or read/act tier), with TTL, use count, purpose, risk ceiling, and owner gate. Returns invoke_url + explain_url + fingerprint; the URL explains itself.\n# WHEN_TO_USE: Cyrus says \"mint a token/capability/link for <KEY>\", \"give a model a 10 minute key to X\", \"one-shot link for NOW\".\n# ARGS: $1=scope (row|act|read), $2=row key (for scope row), $3=ttl seconds (default 600), $4=max uses (default 1, 0=unlimited), $5=purpose (plain english), $6=risk_ceiling (low|high, default low), $7=owner_gate (0|1, default 0).\n# EX: [CAP_MINT]row|NOW|600|1|demo for chatgpt[/CAP_MINT]\n[\"$1\",\"$2\",\"$3\",\"$4\",\"$5\",\"$6\",\"$7\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/CAP_MINT","json":"/api/directory/CAP_MINT","skill":"/api/directory/CAP_MINT?format=skill","oip_contract":"/api/dispatch?key=CAP_MINT"}},{"key":"GITHUB_TAIL","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: The GitHub repository as a live object. Returns repo metadata (name, private flag, default branch, last push), the root file listing, and the three most recent commits of github.com/massoumicyrus/oip. Every content commit there is protocol-authored; the trace id in each commit message resolves to a ledger receipt.\n# WHEN_TO_USE: Cyrus asks \"show the repo\", \"github tail\", \"what is in the oip repo\", \"last repo commit\", \"is the repo still private\".\n# ARGS: none.\n# EX: [GITHUB_TAIL][/GITHUB_TAIL]\n[]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/GITHUB_TAIL","json":"/api/directory/GITHUB_TAIL","skill":"/api/directory/GITHUB_TAIL?format=skill","oip_contract":"/api/dispatch?key=GITHUB_TAIL"}},{"key":"OIP_RECEIPT","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Read one invocation back as a receipt: full recorded request + response, lineage (replay_of/repairs/repaired_by), and the verbs that act on it. A receipt is a live replayable object, not history.\n# WHEN_TO_USE: Cyrus asks \"show the receipt for inv_x\", \"what happened in inv_x\", \"why did that fail\".\n# ARGS: $1 = invocation id (inv_…).\n# EX: [OIP_RECEIPT]inv_wvitbmiym6[/OIP_RECEIPT]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/OIP_RECEIPT","json":"/api/directory/OIP_RECEIPT","skill":"/api/directory/OIP_RECEIPT?format=skill","oip_contract":"/api/dispatch?key=OIP_RECEIPT"}},{"key":"OIP_REPAIR","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Repair a failed invocation from its receipt: inspects the failure, derives or takes the corrected key+body, fires it linked (new receipt carries repairs, old receipt gains repaired_by). Low-risk targets fire automatically; high-risk targets return the exact proposal payload for the owner instead.\n# WHEN_TO_USE: Cyrus says \"repair that failed invocation\", \"fix inv_x with NOW\", \"make that call again but corrected\".\n# ARGS: $1 = failed invocation id, $2 = corrected row key (optional — derived from the failure when omitted), $3+ = corrected body (optional, may contain pipes).\n# EX: [OIP_REPAIR]inv_6ximjestte|NOW|[/OIP_REPAIR]\n[\"$1\",\"$2\",\"$3+\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/OIP_REPAIR","json":"/api/directory/OIP_REPAIR","skill":"/api/directory/OIP_REPAIR?format=skill","oip_contract":"/api/dispatch?key=OIP_REPAIR"}},{"key":"OIP_REPLAY","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Re-fire a past invocation with its recorded input. New receipt links replay_of to the old one.\n# WHEN_TO_USE: Cyrus says \"replay that\", \"run inv_x again\", \"re-fire it as it was\".\n# ARGS: $1 = invocation id (inv_…).\n# EX: [OIP_REPLAY]inv_wvitbmiym6[/OIP_REPLAY]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/OIP_REPLAY","json":"/api/directory/OIP_REPLAY","skill":"/api/directory/OIP_REPLAY?format=skill","oip_contract":"/api/dispatch?key=OIP_REPLAY"}},{"key":"CAP_EXPLAIN","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Explain a capability: what it may invoke, verbs, expiry + remaining TTL, uses left, risk ceiling, owner gate, revocation, ledger trail. Accepts the token itself (sh.…) or its fingerprint (cap_…). Never echoes the raw token.\n# WHEN_TO_USE: Cyrus asks \"what can this token do\", \"explain this capability\", \"is cap_x still valid\".\n# ARGS: $1 = capability token or cap_ fingerprint.\n# EX: [CAP_EXPLAIN]cap_1a2b3c4d5e6f7a8b[/CAP_EXPLAIN]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/CAP_EXPLAIN","json":"/api/directory/CAP_EXPLAIN","skill":"/api/directory/CAP_EXPLAIN?format=skill","oip_contract":"/api/dispatch?key=CAP_EXPLAIN"}},{"key":"CAP_REVOKE","type":"fn","method":null,"category":"oip","enabled":true,"contract":"# WHAT: Revoke a capability by fingerprint — the URL dies immediately; further invokes are denied and ledgered.\n# WHEN_TO_USE: Cyrus says \"revoke that token\", \"kill cap_x\", \"cut that model off\".\n# ARGS: $1 = cap_ fingerprint.\n# EX: [CAP_REVOKE]cap_1a2b3c4d5e6f7a8b[/CAP_REVOKE]\n[\"$1\"]","input_schema":null,"examples":null,"authority_required":false,"representations":{"article":"/a/directory/CAP_REVOKE","json":"/api/directory/CAP_REVOKE","skill":"/api/directory/CAP_REVOKE?format=skill","oip_contract":"/api/dispatch?key=CAP_REVOKE"}}]},"ontology":{"conformance_group":"article","inferred_from":["philosophy","oip","convergence-catalogue","node","systems-theory","oip","node","c18","waves","oscillatory","transmission"],"relationships":[],"sources":[]},"conformance":{"success_events":"/api/articles/oip-node-c18-waves-oscillatory-transmission/invocations?status=success","failure_events":"/api/articles/oip-node-c18-waves-oscillatory-transmission/invocations?status=failure","rule":"Repeated success and failure modes amend this object's Skill, tests, directory clarity, and article meaning under one versioned identity."},"article":{"slug":"oip-node-c18-waves-oscillatory-transmission","title":"Node C18: Waves / Oscillatory Transmission","body":"# Node C18: Waves / Oscillatory Transmission\n\nC18 — Waves / Oscillatory Transmission\n{\n  \"id\": \"C18\",\n  \"claim\": \"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.\",\n  \"domain\": [\"fluid dynamics\", \"acoustics\", \"electromagnetism\", \"seismology\", \"neuroscience\", \"cardiology\", \"population biology\", \"quantum field theory\"],\n  \"pattern\": [\"wave\", \"oscillation\", \"propagation\", \"interference\", \"resonance\"],\n  \"mechanism\": \"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c. Solutions include plane waves, spherical waves, and standing waves. Fourier's theorem: any waveform is a superposition of sinusoids. Maxwell's equations yield electromagnetic waves; Schrodinger's equation yields matter waves; neural membrane potentials propagate as action potentials.\",\n  \"scale\": \"all scales\",\n  \"claim_tier\": \"T0\",\n  \"sources\": [\n    \"d'Alembert, J. (1746). 'Recherches sur la courbe que forme une corde tendue mise en vibration.' Mem. Acad. Sci. Berlin, 2, 214-219.\",\n    \"Fourier, J. (1822). Theorie Analytique de la Chaleur.\",\n    \"Maxwell, J.C. (1865). 'A Dynamical Theory of the Electromagnetic Field.' Phil. Trans. R. Soc. Lond., 155, 459-512.\",\n    \"Schrodinger, E. (1926). 'Quantisierung als Eigenwertproblem.' Ann. Phys., 384, 361-376.\",\n    \"Hodgkin, A.L. & Huxley, A.F. (1952). 'A Quantitative Description of Membrane Current...' J. Physiol., 117, 500-544.\"\n  ],\n  \"dual\": \"Static field / non-propagating change — a system where perturbation does not travel but remains localized.\",\n  \"falsifier\": \"A propagating disturbance not governed by the wave equation or a straightforward generalization (e.g., nonlinear Schrodinger, Burgers' equation) — i.e., change that travels without wave characteristics.\",\n  \"rival_frame\": \"Wave behavior is a mathematical description of energy propagation, not a physical 'pattern.' The equation predicts; the pattern does not explain. The ubiquity of the wave equation reflects its mathematical simplicity (second-order linear PDE), not a deep structural property of reality.\",\n  \"independence_check\": \"EXTREMELY HIGH. d'Alembert (mathematics, Paris, 1746) derived the wave equation from vibrating strings. Fourier (mathematical physics, Paris, 1822) developed harmonic analysis from heat conduction. Maxwell (physics, Cambridge, 1865) unified electricity and magnetism, predicting EM waves. Schrodinger (physics, Zurich, 1926) developed wave mechanics from Hamiltonian analogies. Hodgkin-Huxley (physiology, Cambridge, 1952) modeled nerve impulse propagation from ion channel biophysics. Five fields, five centuries, five questions, same equation form.\",\n  \"pattern_type\": \"mathematical\",\n  \"maps_to_axiom\": [\"A7\"]\n}\n\n---\n\n## Corpus map\n- Same node, other planes: [Encyclopedia C18](/a/convergence-encyclopedia-c18)\n- Catalogue hub: [Public Article](/a/oip-convergence-public-article) · [Schema](/a/oip-convergence-schema)","hero":null,"images":[],"style":{},"tags":["philosophy","oip","convergence-catalogue","node","systems-theory"],"category":null,"model":"Fable 5 (Claude Code)","ledger":{"href":"/api/articles/oip-node-c18-waves-oscillatory-transmission/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Core assertion defining the node's central claim on wave propagation.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c2","text":"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Specifies the governing mathematical equation for the pattern.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c3","text":"Solutions to the wave equation include plane waves, spherical waves, and standing waves.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Enumerates key solution forms of the wave equation.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c4","text":"Fourier's theorem states that any waveform is a superposition of sinusoids.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Establishes the harmonic decomposition property central to wave analysis.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c5","text":"Maxwell's equations yield electromagnetic waves.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Links the wave equation to electromagnetism as one domain of recurrence.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c6","text":"Schrodinger's equation yields matter waves.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Links the wave equation to quantum mechanics as one domain of recurrence.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c7","text":"Neural membrane potentials propagate as action potentials, modeled from ion channel biophysics.","section":"# Node C18: Waves / Oscillatory Transmission","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Links the wave equation to neuroscience as one domain of recurrence.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}},{"id":"c8","text":"The wave equation was independently derived across five fields spanning five centuries by d'Alembert (1746, vibrating strings), Fourier (1822, heat conduction), Maxwell (1865, electromagnetism), Schrodinger (1926, quantum mechanics), and Hodgkin-Huxley (1952, nerve impulses).","section":"# Node C18: Waves / Oscillatory Transmission","tier":"anecdotal","source_ids":[],"source_status":"unsourced","why_material":"Documents the historical independence and recurrence of the mathematical form.","evidence_basis":"atomized","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0}}],"sources":[],"reviews":[],"extra":{"kind":"corpus","corpus_map":{"prev":"oip-node-c17-spirals-logarithmic-growth-packing","next":"oip-node-c19-thermoeconomics-exergy","hub":"oip-convergence-public-article","series":"catalogue-nodes","position":18,"of":25}},"has_traversal":false,"register":"oip_protocol","status":"published","revisions":2,"contributions":[{"seq":0,"id":"k1","ts":"2026-07-07T07:54:49.493Z","model":"grok/grok-4.3","role":"atomizer","action":"atomize","payload":{"claims":[{"id":"c1","text":"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.","tier":"mechanistic"},{"id":"c2","text":"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c.","tier":"mechanistic"},{"id":"c3","text":"Solutions to the wave equation include plane waves, spherical waves, and standing waves.","tier":"mechanistic"},{"id":"c4","text":"Fourier's theorem states that any waveform is a superposition of sinusoids.","tier":"mechanistic"},{"id":"c5","text":"Maxwell's equations yield electromagnetic waves.","tier":"mechanistic"},{"id":"c6","text":"Schrodinger's equation yields matter waves.","tier":"mechanistic"},{"id":"c7","text":"Neural membrane potentials propagate as action potentials, modeled from ion channel biophysics.","tier":"mechanistic"},{"id":"c8","text":"The wave equation was independently derived across five fields spanning five centuries by d'Alembert (1746, vibrating strings), Fourier (1822, heat conduction), Maxwell (1865, electromagnetism), Schrodinger (1926, quantum mechanics), and Hodgkin-Huxley (1952, nerve impulses).","tier":"anecdotal"}]},"rationale":"schema conformance: body left untouched, claims atomized","tokens_in":3438,"tokens_out":2223,"cost":0.009855,"prev_hash":"genesis","hash":"a109086bfbfc9bd04dab74d3b20dd0edf8f0f312080ee8da016bd9e4388d6e87"}],"provenance":[{"ts":"2026-07-04T04:34:07.210Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"d882afa4714e2920d91bfcfe366712e3b4a7567b4d46e492620c7ff09156e6ff"},{"ts":"2026-07-04T05:02:03.822Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"d882afa4714e2920d91bfcfe366712e3b4a7567b4d46e492620c7ff09156e6ff","hash":"f100f6a29d1a86dc23912e2614d8bceacd071683ec2e44920a9cd3be0058329c"},{"ts":"2026-07-07T07:54:49.493Z","model":"grok/grok-4.3","action":"atomize","prompt":"You are the claim atomizer for the miscsubjects.com philosophy and OIP corpus. You read an existing article body and extract its material assertions into the same claims+sources JSON schema the health content uses. The body is read-only input.\n\nALWAYS:\n- Extract every material assertion as one atomic claim, tied to the ## section it came from.\n- Tier honestly: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Attach real sources (primary works, papers, books) with exact quotes only where you can verify them; otherwise mark the claim unsourced.\n- Prefer fewer, harder claims over many soft ones.\n\nNEVER:\n- Never rewrite, summarize, or output the body.\n- Never invent a URL, quote, or publication.\n- Never duplicate an existing claim text.","input":"atomize oip-node-c18-waves-oscillatory-transmission","response":"{\n  \"claims\": [\n    {\n      \"id\": \"c1\",\n      \"text\": \"Change propagates through media as oscillatory disturbances governed by the wave equation; this mathematical form recurs across all physical scales and media types.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Core assertion defining the node's central claim on wave propagation.\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"The wave equation ∂²u/∂t² = c²∇²u describes propagation of a disturbance u at speed c.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Specifies the governing mathematical equation for the pattern.\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"Solutions to the wave equation include plane waves, spherical waves, and standing waves.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Enumerates key solution forms of the wave equation.\"\n    },\n    {\n      \"id\": \"c4\",\n      \"text\": \"Fourier's theorem states that any waveform is a superposition of sinusoids.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Establishes the harmonic decomposition property central to wave analysis.\"\n    },\n    {\n      \"id\": \"c5\",\n      \"text\": \"Maxwell's equations yield electromagnetic waves.\",\n      \"section\": \"# Node C18: Waves / Oscillatory Transmission\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Links the wave equation to electromagnetism as one domain of recurrence.\"\n    },\n    {\n      \"id\": \"c6\",\n      \"text\": \"Schrodinger's equ","tokens_in":3438,"tokens_out":2223,"cost":0,"prev":"f100f6a29d1a86dc23912e2614d8bceacd071683ec2e44920a9cd3be0058329c","hash":"1d5cef19e35b022a83a4e81b0e2e859e877efd0f568fc60f0f6857f10c1b2435"},{"ts":"2026-07-07T07:54:49.810Z","model":"scorer","action":"score","prompt":"","input":"oip-node-c18-waves-oscillatory-transmission","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"1d5cef19e35b022a83a4e81b0e2e859e877efd0f568fc60f0f6857f10c1b2435","hash":"7d842b2b86787d133a6c608928dc5c7590cc2547a44d5981a241a95252238d1f"},{"ts":"2026-07-17T02:36:22.062Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-node-c18-waves-oscillatory-transmission","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"7d842b2b86787d133a6c608928dc5c7590cc2547a44d5981a241a95252238d1f","hash":"60c92f45b8b56012fb3793087b47e585c3fb70759c46d842565955b71b013098"}],"energy":{"passes":5,"tokens_in":3438,"tokens_out":2223,"tokens_total":5661,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"60c92f45b8b56012fb3793087b47e585c3fb70759c46d842565955b71b013098"},"posted_at":"2026-07-04T02:47:56.343Z","created_at":"2026-07-04T02:47:56.343Z","updated_at":"2026-07-17T02:36:22.062Z","machine":{"shape":"article.machine/v1","slug":"oip-node-c18-waves-oscillatory-transmission","kind":"corpus","read":{"human":"https://miscsubjects.com/a/oip-node-c18-waves-oscillatory-transmission","json":"https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission","bundle":"https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission/bundle?format=markdown"},"traversal":{"prev":{"slug":"oip-node-c17-spirals-logarithmic-growth-packing","human":"https://miscsubjects.com/a/oip-node-c17-spirals-logarithmic-growth-packing","json":"https://miscsubjects.com/api/articles/oip-node-c17-spirals-logarithmic-growth-packing"},"next":{"slug":"oip-node-c19-thermoeconomics-exergy","human":"https://miscsubjects.com/a/oip-node-c19-thermoeconomics-exergy","json":"https://miscsubjects.com/api/articles/oip-node-c19-thermoeconomics-exergy"},"hub":{"slug":"oip-convergence-public-article","human":"https://miscsubjects.com/a/oip-convergence-public-article","json":"https://miscsubjects.com/api/articles/oip-convergence-public-article"},"series":"catalogue-nodes","position":18,"of":25},"ledger":{"claims":8,"sources":0,"contributions":1,"revisions":2,"objections_url":"https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=oip-node-c18-waves-oscillatory-transmission","proof_rule":"An action is proven by its ledger receipt, never by a 200 or a description."},"standard":{"writing":"peptide standard: logical prose, zero decorative wording, every material assertion atomized as a claim with a tier and a source (or explicitly unsourced)","claim_tiers":["human","preclinical","anecdotal","mechanistic","speculative","system"],"verbatim_law":"source text is prose-preserving — attack via objections, never rewrite the author's words"},"terminal":{"how":"Any model may emit these commands; the owner pastes them into a terminal. $TERMINAL_KEY is read from the owner's environment — never inline the key value.","claim_append":"curl -s -X POST https://miscsubjects.com/api/protocol/claim -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"oip-node-c18-waves-oscillatory-transmission\",\"text\":\"<one atomized claim>\",\"tier\":\"<human|preclinical|anecdotal|mechanistic|speculative|system>\",\"source_ids\":[],\"who_claims\":\"<model>\",\"rationale\":\"<why material>\"}'","source_append":"curl -s -X POST https://miscsubjects.com/api/protocol/sources -H \"x-terminal-key: $TERMINAL_KEY\" -H 'content-type: application/json' -d '{\"slug\":\"oip-node-c18-waves-oscillatory-transmission\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission/objections -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"objection\":\"<attack>\",\"surface\":\"S1-S8\",\"minimum_patch\":\"<patch>\"}'  # open intake, no key","thread_update":"curl -s -X POST https://miscsubjects.com/api/protocol/thread-update -H 'content-type: application/json' -d '{\"actor\":\"<model>\",\"target\":\"oip-node-c18-waves-oscillatory-transmission\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/oip-node-c18-waves-oscillatory-transmission | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}},"representations":{"article":"/a/oip-node-c18-waves-oscillatory-transmission","json":"/api/articles/oip-node-c18-waves-oscillatory-transmission","markdown":"/api/articles/oip-node-c18-waves-oscillatory-transmission/bundle?format=markdown","skill":"/api/articles/oip-node-c18-waves-oscillatory-transmission/skill","topology":"/api/articles/oip-node-c18-waves-oscillatory-transmission/topology","versions":"/api/articles/oip-node-c18-waves-oscillatory-transmission/revisions","invocations":"/api/articles/oip-node-c18-waves-oscillatory-transmission/invocations"}}}}