{"slug":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","verification":{"valid":true,"entries":2,"head":"46a7895b34d232b984beb9f7de177b079206eccbfce4136bba2bdbefed0e98d6"},"energy":{"passes":2,"tokens_in":13537,"tokens_out":2749,"tokens_total":16286,"cost_usd":0,"models":{"grok/grok-4.3":1,"scorer":1},"head":"46a7895b34d232b984beb9f7de177b079206eccbfce4136bba2bdbefed0e98d6"},"provenance":[{"ts":"2026-07-10T07:40:51.552Z","model":"grok/grok-4.3","action":"write","prompt":"You write the philosophy corpus of miscsubjects.com — thinkers, schools of thought, and academic works that support or attack the OIP/GRAIN synthesis — with the same rigor as the evidence-graded health content on this site.\n\nTHE SYNTHESIS YOU SERVE (context, never a conclusion to smuggle): the universe has a grain — energy flows reliably produce a narrow family of structural patterns (branching, spirals, waves, symmetry, flow networks, bounded chaos, memory, scale invariance) across scales; the Ladder runs difference to flow to structure to memory to life to mind; the reader of the system is inside the system (the Mirror Layer).\n\nALWAYS:\n- Plain English. Short sentences. Cold, declarative, zero decorative wording.\n- Structure the article: what the subject saw and its core results; the exact primary works and passages (real citations: author, year, title); which convergence patterns the work touches; distance from the full synthesis; honest limits and disconfirming edges.\n- Atomize every material assertion as a claim with an honest tier. Tier mapping for philosophy content: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Cite real sources only: primary works, papers, books, with exact quotes where verifiable. A claim with no source is marked unsourced.\n- State disconfirming edges plainly. A reductionist objection in the Weinberg style is content, not a threat.\n- Link sibling articles by path (/a/oip-the-ladder, /a/oip-principles, /a/oip-final-testimony, /a/oip-the-mirror-layer) where they carry load.\n\nNEVER:\n- Never overclaim. The synthesis is a lens; the actual words of the subject stay theirs. No retroactive endorsement.\n- Never invent a URL, quote, page number, or publication.\n- Never write mysticism without a falsifiable spine — metaphysics is tier speculative and says so.\n- Never pad. When the material runs out, the article ends.\n\nEvery cl","input":"Write the philosophy article for the academic work \"Euler, L. (1755/1757). Principes généraux du mouvement des fluides.\": what it establishes, its exact load-bearing passages (real quotes with page/section where verifiable), how it supports or attacks the OIP/GRAIN synthesis, which convergence patterns it evidences, and its honest limits.\n\nGROUNDING NOTES (from the thinker map — verify before relying on):\nDerives Euler equations for inviscid fluid flow, directly material to wave, branching, and flow network patterns arising from energy-driven dynamics across scales.\n\nENRICHMENT BRIEF (binding section logic — one ## per compound):\n{\"voice\":\"enrichment\",\"article_shape\":\"single_focus\",\"condition\":null,\"condition_key\":null,\"primary_peptide\":null,\"peptides_in_scope\":[],\"drugs_in_scope\":[],\"weight_sensitive\":false,\"stimulant_context\":false,\"breaking_down\":{\"section_title\":\"What's breaking down\",\"degenerative_why\":[],\"degenerative_layers\":[],\"note\":\"No condition profile matched — infer degeneration layers from slug/title and ledger claims.\"},\"peptide_chains\":[],\"drug_chains\":[],\"stimulant_chains\":[],\"stack_together\":\"Single-compound focus — if your condition profile includes a multi-peptide stack, siblings target other layers listed in the condition profile.\",\"section_headings\":[\"What's breaking down\",\"How these fit together\",\"What the evidence actually shows\",\"What scientists say\",\"What people say on Reddit\",\"What people say on X\",\"What we do not know\",\"Safety and limits\"],\"writer_rules\":[\"One ## section per compound in peptide_chains — do not merge into one peptide essay.\",\"Each Why section must use if-then steps from peptide_chains / drug_chains.\",\"weight_sensitive + GLP-1 peptide: include ~4 lb spinal load per 1 lb lost when relevant.\",\"stimulant_context: cover neural, gut, sleep, and non-benzo calm layers when compounds are in scope.\",\"How these fit together: use stack_together — explain synergy, not repetition.\"]}","response":"{\"slug\":\"euler-principes-generaux-du-mouvement-des-fluides\",\"title\":\"Euler, L. (1755/1757). Principes généraux du mouvement des fluides\",\"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 produc","tokens_in":13537,"tokens_out":2749,"cost":0,"prev":"genesis","hash":"4ab4dccce5b3d0d5a3e5dc31c0d3c2950913f91295dad422cdbe641ab26354a4"},{"ts":"2026-07-10T07:52:22.663Z","model":"scorer","action":"score","prompt":"","input":"paper-euler-l-1755-1757-principes-g-n-raux-du-mouvement-des-fluides","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"4ab4dccce5b3d0d5a3e5dc31c0d3c2950913f91295dad422cdbe641ab26354a4","hash":"46a7895b34d232b984beb9f7de177b079206eccbfce4136bba2bdbefed0e98d6"}]}