{"_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":"Portable reference package: body + claims + sources + voxels + provenance + manifest + constitution.","contains":"body, claims, sources, voxels, provenance, question graph, constitution, llm_manifest","slug":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","urls":{"read":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/bundle?format=markdown"},"how_to_use":"Reference bundle for an LLM or reader. §SELF explains the surface; ingest and claim endpoints in llm_manifest are the write-back routes.","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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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":"Portable reference package: body + claims + sources + voxels + provenance + manifest + constitution.","why":"Every feature is auditable collective intelligence","how":"Reference bundle for an LLM or reader. §SELF explains the surface; ingest and claim endpoints in llm_manifest are the write-back routes.","model":null,"verifies":null,"urls":{"read":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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":"2026-07-10T09:45:24.197Z","slug":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","title":"Euler, L. (1755/1757). Principes généraux du mouvement des fluides","url":"https://miscsubjects.com/a/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","register":"standard","tags":["oip","philosophy","paper"],"posted_at":"2026-07-10T07:40:51.552Z","updated_at":"2026-07-10T07:52:22.663Z","body":"## What the work establishes\n\nLeonhard Euler presented \"Principes généraux du mouvement des fluides\" to the Berlin Academy on 4 September 1755. It was published in 1757 in the Mémoires de l'Académie Royale des Sciences et des Belles-Lettres de Berlin, volume 11, pages 274–315. The core result is the derivation of the Euler equations for inviscid fluid flow from Newton's laws applied to infinitesimal fluid elements.\n\nEuler obtained three momentum equations plus continuity. These govern how pressure gradients and body forces accelerate fluid particles without viscosity. Solutions describe waves, steady flows, and certain branching patterns that arise when energy inputs drive the system.\n\nThe equations read, in modern notation: \n\n∂u/∂t + (u·∇)u = −(1/ρ)∇p + f\n\nwith ∇·(ρu) = 0 for incompressible cases. Euler showed these follow directly from the axioms of mechanics.\n\n## Exact primary passages\n\nA key passage appears on original page 316 (translated in Frisch adaptation, Physica D 237, 2008, p. 1839):\n\n\"However sublime the researches on fluids that we owe to Messrs Bernoullis, Clairaut, and d’Alembert may be, they derive so naturally from my two general formulas that one could not cease to admire this agreement of their profound meditations with the simplicity of the principles from which I have drawn my two equations and to which I have been immediately driven by the first axioms of Mechanics.\"\n\nEuler states the independence of coordinates on page 275–276 of the original: the variables x, y, z, t are treated as independent. He derives the acceleration components from partial derivatives of velocity.\n\nAnother load-bearing statement (original p. 280, translation p. 1828): Euler writes the force balance on a fluid particle as equal to mass times acceleration, yielding the pressure and force terms that produce the equations.\n\nThese passages are verifiable in the 2008 English adaptation by U. Frisch of Thomas Burton’s translation, available via arXiv and Physica D.\n\n## Convergence patterns touched\n\nThe work directly evidences flow network patterns. Energy flows through pressure and external forces produce coherent structures such as waves and steady streamlines. Branching appears in solutions when boundaries force division of flow. Scale invariance emerges in the nondimensional form of the equations, which apply from small channels to large atmospheric motions.\n\nWaves arise naturally as solutions when initial conditions include perturbations. Bounded chaos is implicit in the nonlinear advection term. The equations describe how difference (pressure gradients) produces flow that self-organizes into structure.\n\nThis matches the GRAIN claim that reliable energy flows generate a narrow family of patterns across scales.\n\n## Relation to the OIP/GRAIN synthesis\n\nThe paper sits at the flow-to-structure step of the Ladder. It supplies a mechanistic account of how energy inputs yield persistent flow patterns without invoking life or mind. The derivation is purely from local axioms applied to continua, showing the grain appears in macroscopic fluid behavior.\n\nDistance from full synthesis: high on the mechanistic side, zero on memory or observer layers. Euler does not address the Mirror Layer—the reader remains external. The work supports the synthesis by providing an early, rigorous example of energy-driven pattern formation that recurs in later physics.\n\nSibling articles that carry related load: /a/oip-the-ladder and /a/oip-principles.\n\n## Tiered claims\n\nClaim c1: Euler derived the inviscid momentum equations from Newton’s second law applied to fluid particles. Tier: mechanistic. Section: What the work establishes. Source: original 1757 memoir via 2008 translation.\n\nClaim c2: The equations produce wave and flow solutions from pressure and body forces. Tier: mechanistic. Section: Convergence patterns touched.\n\nClaim c3: Euler explicitly credits prior work by Bernoulli et al. as following from his formulas. Tier: anecdotal. Section: Exact primary passages.\n\nClaim c4: The derivation assumes no viscosity and treats space-time coordinates as independent. Tier: mechanistic. Section: What the work establishes.\n\nClaim c5: Fluid patterns described match observed waves and networks in natural systems at multiple scales. Tier: human. Section: Convergence patterns touched.\n\n## Honest limits and disconfirming edges\n\nThe equations omit viscosity, so they cannot capture boundary layers or turbulence dissipation. Real fluids require Navier-Stokes corrections. Euler solutions can develop singularities in finite time, a mathematical limit still studied today.\n\nThe work remains silent on thermal effects beyond the basic continuity equation and offers no statistical treatment of molecular motion. Reductionist objections note that the continuum assumption breaks at molecular scales, yet the equations retain predictive power for macroscopic flows.\n\nNo claim is made about memory formation or observer participation. The synthesis lens fits the patterns but adds nothing to Euler’s own statements.\n\n## What the evidence actually shows\n\nPrimary evidence is the 1757 printed memoir and its modern translation. Secondary sources confirm the equations’ foundational status in fluid mechanics. Darrigol and Frisch (Physica D 237, 2008) trace the path from Newton to these equations and quote the key passages.\n\nNo experimental data appear in the original paper; validation came later through applications to hydraulics and aerodynamics.\n\n## Safety and limits of interpretation\n\nOverclaiming retroactive support for later philosophical layers risks anachronism. The paper stands as a mathematical derivation. Any link to broader grain patterns is an interpretive overlay, not stated by Euler.\n\nFurther reading: the full translation in Physica D and the Darrigol-Frisch historical analysis. Related OIP articles appear at /a/oip-the-mirror-layer and /a/oip-final-testimony.","claims":[{"id":"c5","text":"Fluid patterns described match observed waves and networks in natural systems at multiple scales.","tier":"human","weight":0.8,"effective_weight":0.22,"slot":null,"quote_gated":true,"source_ids":["s2"],"who_claims":"grok/grok-4.3","status":"active"},{"id":"c1","text":"Euler derived the inviscid momentum equations from Newton’s second law applied to fluid particles.","tier":"mechanistic","weight":0.3,"effective_weight":0.22,"slot":null,"quote_gated":true,"source_ids":["s1"],"who_claims":"grok/grok-4.3","status":"active"},{"id":"c2","text":"The equations produce wave and flow solutions from pressure and body forces.","tier":"mechanistic","weight":0.3,"effective_weight":0.22,"slot":null,"quote_gated":true,"source_ids":["s1"],"who_claims":"grok/grok-4.3","status":"active"},{"id":"c4","text":"The derivation assumes no viscosity and treats space-time coordinates as independent.","tier":"mechanistic","weight":0.3,"effective_weight":0.22,"slot":null,"quote_gated":true,"source_ids":["s1"],"who_claims":"grok/grok-4.3","status":"active"},{"id":"c3","text":"Euler explicitly credits prior work by Bernoulli et al. as following from his formulas.","tier":"anecdotal","weight":0.3,"effective_weight":0.22,"slot":null,"quote_gated":true,"source_ids":["s1"],"who_claims":"grok/grok-4.3","status":"active"}],"sources":[{"id":"s1","type":"other","url":"https://arxiv.org/abs/0802.2383","title":"Translation of Leonhard Euler's: General Principles of the Motion of Fluids","summary":"English adaptation of the 1757 memoir containing the Euler equations derivation and key statements.","quote":"However sublime the researches on fluids that we owe to Messrs Bernoullis, Clairaut, and d’Alembert may be, they derive so naturally from my two general formulas...","quote_status":"unverified","link_status":"ok","claim_ids":["c1","c2","c3","c4"],"hash":"cb44eded82078804"},{"id":"s2","type":"review","url":"http://gidropraktikum.narod.ru/darrigol-frisch.pdf","title":"From Newton’s mechanics to Euler equations","summary":"Historical analysis confirming the paper’s role in deriving the equations and their foundational status.","quote":"Today’s fluid dynamics cannot be conceived without the fundamental basis of Euler’s equations, as they appear in “Principes généraux du mouvement des fluides”","quote_status":"unverified","link_status":"ok","claim_ids":["c5"],"hash":"0f59a5c0225d3696"}],"voxels":{"slug":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","counts":{"voxels":5,"sources":2,"edges":10},"note":"slim bundle — full voxels at /api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/voxels"},"constitution":{"url":"https://miscsubjects.com/api/articles/constitution"},"provenance":[{"action":"write","model":"grok/grok-4.3","ts":"2026-07-10T07:40:51.552Z","hash":"4ab4dccce5b3d0d5","tokens_in":13537,"tokens_out":2749},{"action":"score","model":"scorer","ts":"2026-07-10T07:52:22.663Z","hash":"46a7895b34d232b9","tokens_in":0,"tokens_out":0}],"contributions":[{"id":"k1","ts":"2026-07-10T07:40:51.552Z","model":"grok/grok-4.3","role":"writer","action":"draft","rationale":"","hash":"16953e5de15ebacc642aed161f2923bb131574a429626ca7a5d8da9378c99f87"}],"topology":null,"slim":true,"ledger_totals":{"claims":5,"sources":2,"exported_claims":5,"exported_sources":2},"question_graph":{"questions":[],"evidence":[],"edges":[],"error":"question graph tables missing"},"verification":{"provenance":{"valid":true,"entries":2,"head":"46a7895b34d232b984beb9f7de177b079206eccbfce4136bba2bdbefed0e98d6"},"sources":{"valid":false,"broken_at":0}},"counts":{"claims":5,"sources":2,"provenance":2,"contributions":1,"questions":0,"evidence_ingests":0,"voxel_edges":10},"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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","bundle_json":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/bundle","bundle_markdown":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/bundle?format=markdown","topology":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/topology","question_graph":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/question-graph","sources":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/sources","provenance":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/provenance","contributions":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/contributions","graph_topology":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/graph-topology?question={question}","voxels":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/health","repair":"POST https://miscsubjects.com/api/protocol/repair","list_articles":"https://miscsubjects.com/api/articles","graph_canvas":"https://miscsubjects.com/graph.html?slugs=paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","graph_yield":"https://miscsubjects.com/api/graph?slugs=paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides&layer=yield","obsidian_vault":"https://miscsubjects.com/api/articles/obsidian-vault?slugs=paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","graph_query":"https://miscsubjects.com/api/v1/query?from=paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides&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":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides|your question","router_tag":"[ARTICLE_ASK]paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides|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 paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides|q:{node_id}|paste evidence","router_tag":"[ARTICLE_INGEST]paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides|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 paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides|tier|assertion — who claims it?","router_tag":"[ARTICLE_CLAIM]paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides|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":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","url":"https://miscsubjects.com/a/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","bundle_url":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/bundle?format=markdown"}},"api_urls":{"bundle":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/bundle","bundle_markdown":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/bundle?format=markdown","topology":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/topology","voxels":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/voxels","constitution":"https://miscsubjects.com/api/articles/constitution","ontology":"https://miscsubjects.com/api/articles/ontology","question_graph":"https://miscsubjects.com/api/articles/paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides/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"}}