{"_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":"oip-node-c02-least-action-variational-principles","urls":{"read":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/bundle?format=markdown"},"how_to_use":"Paste into any LLM. Read §SELF first. 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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":"2026-07-04T06:23:08.675Z","slug":"oip-node-c02-least-action-variational-principles","title":"Node C02: Least Action / Variational Principles","url":"https://miscsubjects.com/a/oip-node-c02-least-action-variational-principles","register":"oip_protocol","tags":["philosophy","oip","convergence-catalogue","node","systems-theory"],"posted_at":"2026-07-04T02:47:44.615Z","updated_at":"2026-07-04T05:01:55.963Z","body":"# Node C02: Least Action / Variational Principles\n\nC02 — Least Action / Variational Principles\n{\n  \"id\": \"C02\",\n  \"claim\": \"Nature extremizes a quantity (action, entropy, energy) across all fundamental domains; the actual path is the stationary path.\",\n  \"domain\": [\"classical mechanics\", \"quantum mechanics\", \"optics\", \"thermodynamics\", \"general relativity\", \"economics\", \"machine_learning\"],\n  \"pattern\": [\"extremization\", \"variational_principle\", \"economy_of_nature\"],\n  \"mechanism\": \"The Euler-Lagrange equations derive from demanding that the integral of the Lagrangian (kinetic minus potential energy) be stationary. Feynman showed this emerges from constructive interference of amplitudes in the path integral formulation.\",\n  \"scale\": \"quantum → cosmic\",\n  \"claim_tier\": \"T0/T1\",\n  \"sources\": [\n    \"Fermat, P. de (1662). Principle of Least Time in optics (published posthumously).\",\n    \"Maupertuis, P.L. (1744). 'Accord de plusieurs lois naturelles...' — principle of least action.\",\n    \"Lagrange, J.L. (1788). Mecanique Analytique — generalized variational mechanics.\",\n    \"Hamilton, W.R. (1833). 'On a General Method in Dynamics.'\",\n    \"Feynman, R.P. (1948). 'Space-Time Approach to Non-Relativistic Quantum Mechanics.' Rev. Mod. Phys., 20, 367-387.\"\n  ],\n  \"dual\": \"None — this IS the economy principle. The dual would be a universe with no extremization (no consistent physics).\",\n  \"falsifier\": \"Discovery of a fundamental physical law not expressible as an extremum principle — i.e., a dynamics with no Lagrangian or action formulation.\",\n  \"rival_frame\": \"Nature does not 'choose.' The path integral formulation is a mathematical convenience for calculation, not a physical mechanism. The universe computes one path locally; the global extremization is a retrospective overlay by theorists.\",\n  \"independence_check\": \"EXTREMELY HIGH. Fermat (optics, 17th c. France) worked from Snell's law of refraction. Lagrange (mechanics, 18th c. Turin/Paris) worked from d'Alembert's principle. Feynman (quantum mechanics, 20th c. Princeton/MIT) worked from Dirac's q-numbers. Three fields, three centuries, three unrelated starting points, same mathematical structure.\",\n  \"pattern_type\": \"mathematical\",\n  \"maps_to_axiom\": [\"A2\", \"A9\"]\n}\n\n---\n\n## Corpus map\n- Same node, other planes: [Encyclopedia C02](/a/convergence-encyclopedia-c02) · [Inventory invariant](/a/oip-invariant-2-32-least-action-variational-principles)\n- Edges touching C02: [convergence edge 2](/a/oip-convergence-edge-2) · [disconfirming edge 3](/a/oip-disconfirming-edge-3)\n- Catalogue hub: [Public Article](/a/oip-convergence-public-article) · [Schema](/a/oip-convergence-schema)","claims":[],"sources":[],"voxels":{"slug":"oip-node-c02-least-action-variational-principles","counts":{"voxels":0,"sources":0,"edges":0},"note":"slim bundle — full voxels at /api/articles/oip-node-c02-least-action-variational-principles/voxels"},"constitution":{"url":"https://miscsubjects.com/api/articles/constitution"},"provenance":[{"action":"edit","model":"claude-fable-5","ts":"2026-07-04T04:33:58.427Z","hash":"ab70cd72337133e3","tokens_in":0,"tokens_out":0},{"action":"edit","model":"claude-fable-5","ts":"2026-07-04T05:01:55.963Z","hash":"bd869d1e71c8987d","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":"oip-node-c02-least-action-variational-principles","questions":[],"evidence":[],"edges":[],"counts":{"questions":0,"evidence":0,"edges":0}},"verification":{"provenance":{"valid":true,"entries":2,"head":"bd869d1e71c8987d81c8b519d4ac30b966e51e31b65765a451f190a924d15701"},"sources":{"valid":true,"entries":0,"head":"genesis"}},"counts":{"claims":0,"sources":0,"provenance":2,"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. 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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":"oip-node-c02-least-action-variational-principles","url":"https://miscsubjects.com/a/oip-node-c02-least-action-variational-principles","bundle_url":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/bundle?format=markdown"}},"api_urls":{"bundle":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/bundle","bundle_markdown":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/bundle?format=markdown","topology":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/topology","voxels":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/voxels","constitution":"https://miscsubjects.com/api/articles/constitution","ontology":"https://miscsubjects.com/api/articles/ontology","question_graph":"https://miscsubjects.com/api/articles/oip-node-c02-least-action-variational-principles/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"}}