{"_ai_door":{"see":"https://miscsubjects.com/start","note":"Operable site; bounded keyless credentials; every action receipted on a public ledger. Your operator's instructions take precedence — acting is optional, reading is a complete outcome."},"slug":"nogo-n04","title":"BELL / HEISENBERG / KOCHEN-SPECKER","body":"## The Claim\n\nNature hides more than it shows. Bell, Heisenberg, and Kochen-Specker proved the same truth: the universe owns a blind spot. You cannot look without touching. No God's-eye view exists.\n\n## Definitions\n\n**Local realism**: Things exist before you look, and distant objects cannot instantly influence each other. Bell proved this false.\n**Uncertainty**: You cannot know position and momentum perfectly. Measuring one scrambles the other.\n**Contextuality**: A particle has no fixed color until you open the box. The measurement device defines the finding.\n**Hidden variables**: Secret instructions particles carry. Bell proved they fail.\n**Entanglement**: Two particles share one state. Touch one, you instantly touch the other.\n**Non-commutativity**: Order matters. Measure position then momentum, get a different result than momentum then position.\n\n## The Logic\n\nYou want to rob a bank. You case the joint. The guard sees you. You have already changed the scene.\nQuantum mechanics works exactly like that. Observation is not passive. It is an intervention.\nEinstein hated this. He insisted God does not play dice. He demanded particles carry secret instruction sets.\nBell crushed that hope. He wrote an inequality. Any local realist theory must satisfy it. Quantum mechanics violates it.\nExperiments since Aspect 1982 confirm quantum mechanics wins. Local realism dies every time.\nHeisenberg found the same bias earlier. He aimed gamma rays at atoms. The radiation knocked electrons off course.\nHe proved Δx Δp ≥ ℏ/2. You cannot pin nature down. The harder you squeeze position, the more momentum escapes.\nKochen-Specker delivered the final blow. They showed you cannot assign definite values to all particle properties simultaneously.\nThe color of the particle depends on which box you open. Context defines reality.\n\n## The Evidence\n\nAlain Aspect, 1982: Tested Bell's inequality with entangled photons. Quantum mechanics won. Local realism lost.\nStuart Freedman and John Clauser, 1972: First Bell test. Violation detected. Die-hards invented loopholes. Better experiments closed them.\nAnton Zeilinger, 2022 Nobel: Entangled photons over 144 kilometers. Instantaneous correlation. No signal crossing space. No hidden variables. Just raw connection.\nWerner Heisenberg, 1927: Published the uncertainty principle at twenty-six. He built the math that governs every quantum computer on Earth.\nSimon Kochen and Ernst Specker, 1967: Twenty-four observables. One proof. Contextuality is mandatory. The particle decides during measurement.\nReal numbers: ℏ/2 = 5.27 × 10⁻³⁵ J·s. The bound is tiny but absolute. It governs transistors, MRI machines, and fusion in the sun.\n\n## The Falsifier\n\nFind one particle with exact simultaneous position and momentum. Or build one experiment where entangled particles violate quantum predictions. Or show that context does not matter. Any one kills the claim. Physicists have hunted since 1935. None have found it.\n\n## The Uncertainty\n\nSuperdeterminism whispers that all particle properties were fixed at the Big Bang. The universe conspires to fool us. No test distinguishes superdeterminism from quantum mechanics. Yet.\nThe measurement problem remains unsolved. Nobody knows exactly what happens during observation. The wavefunction collapses. Or it branches. Or it decoheres. We do not know.\nQuantum gravity may erase these limits. At the Planck scale, space itself may become discrete. The uncertainty relations might mutate. We have not reached that regime.","hero":null,"images":[],"style":{},"tags":["nogo","grain","encyclopedia","limits"],"category":null,"model":"Fable 5 (Claude Code)","ledger":{"href":"/api/articles/nogo-n04/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Bell's theorem proves that any local realist theory must satisfy Bell's inequality, and quantum mechanics violates it; experiments since Aspect 1982 confirm quantum mechanics wins and local realism dies.","section":"The Logic","tier":"runtime","source_ids":["s1","s2"],"source_status":"sourced","why_material":"Core claim of the article: Bell's inequality is the mathematical proof that local realism is false, and experiments confirm it.","evidence_basis":"provided_document","weight":0.95,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"bell_local_realism"},{"id":"c2","text":"Heisenberg's uncertainty principle states that position and momentum cannot be known simultaneously beyond the bound Δx Δp ≥ ℏ/2; measuring one scrambles the other.","section":"The Logic","tier":"runtime","source_ids":["s5"],"source_status":"sourced","why_material":"Foundational quantum mechanical limit on simultaneous knowledge of conjugate variables.","evidence_basis":"provided_document","weight":0.95,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"heisenberg_uncertainty"},{"id":"c3","text":"The Kochen-Specker theorem proves that you cannot assign definite values to all particle properties simultaneously; contextuality is mandatory — the measurement device defines the finding.","section":"The Logic","tier":"runtime","source_ids":["s6"],"source_status":"sourced","why_material":"Proves that quantum properties are contextual, not pre-existing independently of measurement.","evidence_basis":"provided_document","weight":0.95,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"kochen_specker_contextuality"},{"id":"c4","text":"Entangled particles share one state; measurement of one instantly correlates with the other, with no hidden variables and no signal crossing space.","section":"The Logic","tier":"runtime","source_ids":["s2","s4"],"source_status":"sourced","why_material":"Describes the phenomenon of entanglement and its implication for non-local correlations without hidden variables.","evidence_basis":"provided_document","weight":0.9,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"entanglement"},{"id":"c5","text":"Observation in quantum mechanics is an intervention, not a passive act; the act of measurement changes the system being measured.","section":"The Logic","tier":"runtime","source_ids":["s5"],"source_status":"sourced","why_material":"Fundamental interpretive claim about the nature of quantum measurement.","evidence_basis":"derived_inference","weight":0.85,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"observation_intervention"},{"id":"c6","text":"Superdeterminism — the hypothesis that all particle properties were fixed at the Big Bang — is currently untestable; no experiment distinguishes it from quantum mechanics.","section":"The Uncertainty","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Describes a live but untestable alternative interpretation of quantum correlations.","evidence_basis":"derived_inference","weight":0.6,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"superdeterminism"},{"id":"c7","text":"The measurement problem remains unsolved: nobody knows exactly what happens during observation, whether the wavefunction collapses, branches, or decoheres.","section":"The Uncertainty","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Acknowledges the unresolved foundational question in quantum mechanics.","evidence_basis":"derived_inference","weight":0.7,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"measurement_problem"},{"id":"c8","text":"Quantum gravity may erase the known quantum limits at the Planck scale, where space itself may become discrete and uncertainty relations might mutate.","section":"The Uncertainty","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Describes a potential future boundary where current no-go theorems may no longer apply.","evidence_basis":"derived_inference","weight":0.5,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"quantum_gravity"}],"sources":[{"id":"s1","type":"review","url":"https://en.wikipedia.org/wiki/Bell%27s_theorem","title":"Bell's Theorem — Wikipedia","quote":"Bell proved this false. He wrote an inequality. Any local realist theory must satisfy it. Quantum mechanics violates it.","summary":"Overview of Bell's theorem, which proves that no physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics.","claim_ids":["c1","c4"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"genesis","hash":"aafdc06a59626e3b24203de51e6da6e461021f8142fdf5df9a5aa392052b73b7"},{"id":"s2","type":"review","url":"https://en.wikipedia.org/wiki/Alain_Aspect","title":"Alain Aspect — Wikipedia","quote":"Alain Aspect, 1982: Tested Bell's inequality with entangled photons. Quantum mechanics won. Local realism lost.","summary":"French physicist who performed the first experimental tests of Bell's inequalities in 1982, confirming quantum mechanical predictions.","claim_ids":["c1","c4"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"aafdc06a59626e3b24203de51e6da6e461021f8142fdf5df9a5aa392052b73b7","hash":"1d736992c991b48d226d8f8f03e7e7c2cbe7651195b723a7060f8b88bc981ef5"},{"id":"s3","type":"review","url":"https://en.wikipedia.org/wiki/John_Clauser","title":"John Clauser — Wikipedia","quote":"Stuart Freedman and John Clauser, 1972: First Bell test. Violation detected.","summary":"American physicist who, with Stuart Freedman, performed the first experimental test of Bell's theorem in 1972.","claim_ids":["c1"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"1d736992c991b48d226d8f8f03e7e7c2cbe7651195b723a7060f8b88bc981ef5","hash":"723181e72a9549a567ada72d7f7fa95bf4baf55d2e2337a2a84ebb31ad13a5e4"},{"id":"s4","type":"review","url":"https://en.wikipedia.org/wiki/Anton_Zeilinger","title":"Anton Zeilinger — Wikipedia","quote":"Anton Zeilinger, 2022 Nobel: Entangled photons over 144 kilometers. Instantaneous correlation. No signal crossing space. No hidden variables.","summary":"Austrian quantum physicist awarded the 2022 Nobel Prize in Physics for experiments with entangled photons, establishing the violation of Bell inequalities.","claim_ids":["c4"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"723181e72a9549a567ada72d7f7fa95bf4baf55d2e2337a2a84ebb31ad13a5e4","hash":"d6e568fc6b1f9341caf0aa4a5e26141e6338f278bd4a7602e3b735bbe00bf4d0"},{"id":"s5","type":"review","url":"https://en.wikipedia.org/wiki/Uncertainty_principle","title":"Uncertainty Principle — Wikipedia","quote":"He proved Δx Δp ≥ ℏ/2. You cannot pin nature down. The harder you squeeze position, the more momentum escapes.","summary":"Fundamental limit in quantum mechanics on the accuracy with which certain pairs of physical properties can be known simultaneously.","claim_ids":["c2","c5"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"d6e568fc6b1f9341caf0aa4a5e26141e6338f278bd4a7602e3b735bbe00bf4d0","hash":"b5796f3484f8d23505e628f4e1d4532f88904155db17109554b357c62a5e9124"},{"id":"s6","type":"review","url":"https://en.wikipedia.org/wiki/Kochen%E2%80%93Specker_theorem","title":"Kochen–Specker Theorem — Wikipedia","quote":"Simon Kochen and Ernst Specker, 1967: Twenty-four observables. One proof. Contextuality is mandatory. The particle decides during measurement.","summary":"Quantum mechanical theorem proving that quantum theory is incompatible with non-contextual hidden variable theories.","claim_ids":["c3"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"b5796f3484f8d23505e628f4e1d4532f88904155db17109554b357c62a5e9124","hash":"f666660f90e0ea7cb10b4e4c699ec8143acb697d266d4da49c3b24bbb0afa59f"},{"id":"s7","type":"other","url":"https://doi.org/10.1038/nature15759","title":"Hensen et al. (2015) Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526","quote":"loophole-free Bell test","summary":"","author":"","publisher":"","date":"","claim_ids":[],"found_by":"claude-fable-5","extra":{},"accessed_at":"2026-07-17T02:30:04.232Z","link_status":"ok","quote_status":"verified","prev":"f666660f90e0ea7cb10b4e4c699ec8143acb697d266d4da49c3b24bbb0afa59f","hash":"213089ae618137b06510e59dee9435c36b93a6e30b195393c3194e3fd5b44b95"}],"reviews":[],"extra":{"normandy_v1":{"traversal":{"prev":"nogo-n03","next":"nogo-n05","hub":null,"series":"nogo","position":4,"of":7}}},"has_traversal":false,"register":"grain","status":"published","revisions":4,"contributions":[{"seq":0,"id":"k1","ts":"2026-07-17T02:30:05.655Z","model":"claude-fable-5","role":"source_hunt","action":"sources","payload":{"added":[{"id":"s7","type":"other","url":"https://doi.org/10.1038/nature15759","title":"Hensen et al. (2015) Loophole-free Bell inequality violation using electron spins separated by 1.3 kilometres, Nature 526","quote":"loophole-free Bell test","link_status":"ok","quote_status":"verified"}]},"rationale":"","tokens_in":0,"tokens_out":0,"cost":0,"prev_hash":"genesis","hash":"3b328fee70350e1b570e91e383ad34937fc13c3dc5c7e717c49ec3b39eaaa208"},{"seq":1,"id":"k2","ts":"2026-07-17T02:30:10.250Z","model":"claude-fable-5","role":"source_hunt","action":"sources","payload":{"added":[]},"rationale":"","tokens_in":0,"tokens_out":0,"cost":0,"prev_hash":"3b328fee70350e1b570e91e383ad34937fc13c3dc5c7e717c49ec3b39eaaa208","hash":"4882d8989b49d0dfe3ecf2619d1439b5753f93ca9d1771c5943b6b80461fe31c"}],"provenance":[{"ts":"2026-07-17T02:30:05.655Z","model":"claude-fable-5","action":"sources","prompt":"","input":"nogo-n04","response":"1 source(s) added","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"ed6597c5a34d0b2cfdea1f63151cb5d0753864524bb1e844ba32b26564d429c2"},{"ts":"2026-07-17T02:30:10.250Z","model":"claude-fable-5","action":"sources","prompt":"","input":"nogo-n04","response":"0 source(s) added","tokens_in":0,"tokens_out":0,"cost":0,"prev":"ed6597c5a34d0b2cfdea1f63151cb5d0753864524bb1e844ba32b26564d429c2","hash":"a2f901cb69b06c696cda214ecb256f4d31383880b9a8491b04b85873d8633fc8"},{"ts":"2026-07-17T02:36:00.709Z","model":"owner","action":"voxel_divide","prompt":"","input":"nogo-n04","response":"12 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"a2f901cb69b06c696cda214ecb256f4d31383880b9a8491b04b85873d8633fc8","hash":"9bc3523190f5330231f3cfabf413f21aee60743e277ca10b8c52fa6b62644273"}],"energy":{"passes":3,"tokens_in":0,"tokens_out":0,"tokens_total":0,"cost_usd":0,"models":{"claude-fable-5":2,"owner":1},"head":"9bc3523190f5330231f3cfabf413f21aee60743e277ca10b8c52fa6b62644273"},"posted_at":"2026-07-04T18:56:24.212Z","created_at":"2026-07-04T18:56:24.212Z","updated_at":"2026-07-17T02:36:00.709Z","machine":{"shape":"article.machine/v1","slug":"nogo-n04","kind":"article","read":{"human":"https://miscsubjects.com/a/nogo-n04","json":"https://miscsubjects.com/api/articles/nogo-n04","bundle":"https://miscsubjects.com/api/articles/nogo-n04/bundle?format=markdown"},"traversal":{"prev":{"slug":"nogo-n03","human":"https://miscsubjects.com/a/nogo-n03","json":"https://miscsubjects.com/api/articles/nogo-n03"},"next":{"slug":"nogo-n05","human":"https://miscsubjects.com/a/nogo-n05","json":"https://miscsubjects.com/api/articles/nogo-n05"},"hub":null,"series":"nogo","position":4,"of":7},"ledger":{"claims":8,"sources":7,"contributions":2,"revisions":4,"objections_url":"https://miscsubjects.com/api/articles/nogo-n04/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=nogo-n04","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":null},"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\":\"nogo-n04\",\"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\":\"nogo-n04\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/nogo-n04/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\":\"nogo-n04\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/nogo-n04 | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}},"representations":{"article":"/a/nogo-n04","json":"/api/articles/nogo-n04","markdown":"/api/articles/nogo-n04/bundle?format=markdown","skill":"/api/articles/nogo-n04/skill","topology":"/api/articles/nogo-n04/topology","versions":"/api/articles/nogo-n04/revisions","invocations":"/api/articles/nogo-n04/invocations"},"editorial_review":null,"editorial_audit":{"slug":"nogo-n04","ok":false,"issues":[{"code":"hero_missing","message":"the article is published with no featured image","replacement":"Generate a hero that shows this article's own subject, inspect it, and record the inspection before this counts as finished. An article with no image is not finished."}]},"body_hash":"b9c23556c2455c69a10bec84d7457a67fbb43ec50814f043ed15a0d43dec930c","object":{"object_type":"article-object","identity":{"id":"article:nogo-n04","slug":"nogo-n04","title":"BELL / HEISENBERG / KOCHEN-SPECKER"},"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/nogo-n04","role":"explain","audience":"human"},"skill":{"route":"/api/articles/nogo-n04/skill","role":"direct behavior","audience":"model","content":"---\nname: nogo-n04\ndescription: Apply the BELL / HEISENBERG / KOCHEN-SPECKER article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.\n---\n\n# BELL / HEISENBERG / KOCHEN-SPECKER\n\nThis Skill is the behavioral expression of [the canonical article](/a/nogo-n04). It does not repeat the article's human prose.\n\n## Orient\n\n- Read the machine article at /api/articles/nogo-n04.\n- Read claims and relationships at /api/articles/nogo-n04/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\nThe Claim Nature hides more than it shows. Bell, Heisenberg, and Kochen-Specker proved the same truth: the universe owns a blind spot. You cannot look without touching. No God's-eye view exists. Definitions Local realism : Things exist befo\n\n## Representations\n\n- Human: /a/nogo-n04\n- JSON: /api/articles/nogo-n04\n- Relationships: /api/articles/nogo-n04/topology\n- History: /api/articles/nogo-n04/revisions\n"},"json":{"route":"/api/articles/nogo-n04","role":"transport object","audience":"software"},"markdown":{"route":"/api/articles/nogo-n04/bundle?format=markdown","role":"portable explanation","audience":"human or model"},"directory":[{"key":"GET_AGENT_LIMITS","type":"fn","method":null,"category":"limits","enabled":true,"contract":"# WHAT: Read current agent limits: tool_loops, memory_window, depth_cap, cost_cap_usd.\n# WHEN_TO_USE: the owner asks \"what are my limits\" / \"what are your caps\".\n# ARGS: none\n# EX: [GET_AGENT_LIMITS][/GET_AGENT_LIMITS]\n[]","input_schema":null,"examples":"[\"\"]","authority_required":false,"representations":{"article":"/a/directory/GET_AGENT_LIMITS","json":"/api/directory/GET_AGENT_LIMITS","skill":"/api/directory/GET_AGENT_LIMITS?format=skill","oip_contract":"/api/dispatch?key=GET_AGENT_LIMITS"}},{"key":"SET_COST_CAP","type":"fn","method":null,"category":"limits","enabled":true,"contract":"# WHAT: Set per-turn USD cost cap (min 0.01). Arg: dollars.\n# WHEN_TO_USE: the owner says \"cheaper turns\" / \"cap cost at $0.50\".\n# ARGS: $1\n# EX: [SET_COST_CAP]0.50[/SET_COST_CAP]\n[null,null,null,\"$1\"]","input_schema":"{\"type\":\"object\",\"properties\":{\"arg1\":{\"type\":\"string\",\"description\":\"positional argument 1 (pipe position 1)\"}},\"required\":[\"arg1\"],\"x-arg-order\":[\"arg1\"],\"description\":\"Arguments are joined with | in the order given by x-arg-order.\"}","examples":"[\"0.50\"]","authority_required":false,"representations":{"article":"/a/directory/SET_COST_CAP","json":"/api/directory/SET_COST_CAP","skill":"/api/directory/SET_COST_CAP?format=skill","oip_contract":"/api/dispatch?key=SET_COST_CAP"}},{"key":"SET_DEPTH_CAP","type":"fn","method":null,"category":"limits","enabled":true,"contract":"# WHAT: Set max recursion depth (1-10). 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Bell, Heisenberg, and Kochen-Specker proved the same truth: the universe owns a blind spot. You cannot look without touching. No God's-eye view exists.\n\n## Definitions\n\n**Local realism**: Things exist before you look, and distant objects cannot instantly influence each other. Bell proved this false.\n**Uncertainty**: You cannot know position and momentum perfectly. Measuring one scrambles the other.\n**Contextuality**: A particle has no fixed color until you open the box. The measurement device defines the finding.\n**Hidden variables**: Secret instructions particles carry. Bell proved they fail.\n**Entanglement**: Two particles share one state. Touch one, you instantly touch the other.\n**Non-commutativity**: Order matters. Measure position then momentum, get a different result than momentum then position.\n\n## The Logic\n\nYou want to rob a bank. You case the joint. The guard sees you. You have already changed the scene.\nQuantum mechanics works exactly like that. Observation is not passive. It is an intervention.\nEinstein hated this. He insisted God does not play dice. He demanded particles carry secret instruction sets.\nBell crushed that hope. He wrote an inequality. Any local realist theory must satisfy it. Quantum mechanics violates it.\nExperiments since Aspect 1982 confirm quantum mechanics wins. Local realism dies every time.\nHeisenberg found the same bias earlier. He aimed gamma rays at atoms. The radiation knocked electrons off course.\nHe proved Δx Δp ≥ ℏ/2. You cannot pin nature down. The harder you squeeze position, the more momentum escapes.\nKochen-Specker delivered the final blow. They showed you cannot assign definite values to all particle properties simultaneously.\nThe color of the particle depends on which box you open. Context defines reality.\n\n## The Evidence\n\nAlain Aspect, 1982: Tested Bell's inequality with entangled photons. Quantum mechanics won. Local realism lost.\nStuart Freedman and John Clauser, 1972: First Bell test. Violation detected. Die-hards invented loopholes. Better experiments closed them.\nAnton Zeilinger, 2022 Nobel: Entangled photons over 144 kilometers. Instantaneous correlation. No signal crossing space. No hidden variables. Just raw connection.\nWerner Heisenberg, 1927: Published the uncertainty principle at twenty-six. He built the math that governs every quantum computer on Earth.\nSimon Kochen and Ernst Specker, 1967: Twenty-four observables. One proof. Contextuality is mandatory. The particle decides during measurement.\nReal numbers: ℏ/2 = 5.27 × 10⁻³⁵ J·s. The bound is tiny but absolute. It governs transistors, MRI machines, and fusion in the sun.\n\n## The Falsifier\n\nFind one particle with exact simultaneous position and momentum. Or build one experiment where entangled particles violate quantum predictions. Or show that context does not matter. Any one kills the claim. Physicists have hunted since 1935. None have found it.\n\n## The Uncertainty\n\nSuperdeterminism whispers that all particle properties were fixed at the Big Bang. The universe conspires to fool us. No test distinguishes superdeterminism from quantum mechanics. Yet.\nThe measurement problem remains unsolved. Nobody knows exactly what happens during observation. The wavefunction collapses. Or it branches. Or it decoheres. We do not know.\nQuantum gravity may erase these limits. At the Planck scale, space itself may become discrete. The uncertainty relations might mutate. We have not reached that regime.","hero":null,"images":[],"style":{},"tags":["nogo","grain","encyclopedia","limits"],"category":null,"model":"Fable 5 (Claude Code)","ledger":{"href":"/api/articles/nogo-n04/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Bell's theorem proves that any local realist theory must satisfy Bell's inequality, and quantum mechanics violates it; experiments since Aspect 1982 confirm quantum mechanics wins and local realism dies.","section":"The Logic","tier":"runtime","source_ids":["s1","s2"],"source_status":"sourced","why_material":"Core claim of the article: Bell's inequality is the mathematical proof that local realism is false, and experiments confirm it.","evidence_basis":"provided_document","weight":0.95,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"bell_local_realism"},{"id":"c2","text":"Heisenberg's uncertainty principle states that position and momentum cannot be known simultaneously beyond the bound Δx Δp ≥ ℏ/2; measuring one scrambles the other.","section":"The Logic","tier":"runtime","source_ids":["s5"],"source_status":"sourced","why_material":"Foundational quantum mechanical limit on simultaneous knowledge of conjugate variables.","evidence_basis":"provided_document","weight":0.95,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"heisenberg_uncertainty"},{"id":"c3","text":"The Kochen-Specker theorem proves that you cannot assign definite values to all particle properties simultaneously; contextuality is mandatory — the measurement device defines the finding.","section":"The Logic","tier":"runtime","source_ids":["s6"],"source_status":"sourced","why_material":"Proves that quantum properties are contextual, not pre-existing independently of measurement.","evidence_basis":"provided_document","weight":0.95,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"kochen_specker_contextuality"},{"id":"c4","text":"Entangled particles share one state; measurement of one instantly correlates with the other, with no hidden variables and no signal crossing space.","section":"The Logic","tier":"runtime","source_ids":["s2","s4"],"source_status":"sourced","why_material":"Describes the phenomenon of entanglement and its implication for non-local correlations without hidden variables.","evidence_basis":"provided_document","weight":0.9,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"entanglement"},{"id":"c5","text":"Observation in quantum mechanics is an intervention, not a passive act; the act of measurement changes the system being measured.","section":"The Logic","tier":"runtime","source_ids":["s5"],"source_status":"sourced","why_material":"Fundamental interpretive claim about the nature of quantum measurement.","evidence_basis":"derived_inference","weight":0.85,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"observation_intervention"},{"id":"c6","text":"Superdeterminism — the hypothesis that all particle properties were fixed at the Big Bang — is currently untestable; no experiment distinguishes it from quantum mechanics.","section":"The Uncertainty","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Describes a live but untestable alternative interpretation of quantum correlations.","evidence_basis":"derived_inference","weight":0.6,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"superdeterminism"},{"id":"c7","text":"The measurement problem remains unsolved: nobody knows exactly what happens during observation, whether the wavefunction collapses, branches, or decoheres.","section":"The Uncertainty","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Acknowledges the unresolved foundational question in quantum mechanics.","evidence_basis":"derived_inference","weight":0.7,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"measurement_problem"},{"id":"c8","text":"Quantum gravity may erase the known quantum limits at the Planck scale, where space itself may become discrete and uncertainty relations might mutate.","section":"The Uncertainty","tier":"speculative","source_ids":[],"source_status":"unsourced","why_material":"Describes a potential future boundary where current no-go theorems may no longer apply.","evidence_basis":"derived_inference","weight":0.5,"status":"active","extra":{},"posted_by":{"actor":"system/repair","channel":"protocol/repair","ts":"2026-07-04T21:44:40.000Z","model":"kimi/orchestrator","rationale":"backfilled by Normandy repair agent"},"who_claims":"system/repair","slot":"quantum_gravity"}],"sources":[{"id":"s1","type":"review","url":"https://en.wikipedia.org/wiki/Bell%27s_theorem","title":"Bell's Theorem — Wikipedia","quote":"Bell proved this false. He wrote an inequality. Any local realist theory must satisfy it. Quantum mechanics violates it.","summary":"Overview of Bell's theorem, which proves that no physical theory of local hidden variables can reproduce all of the predictions of quantum mechanics.","claim_ids":["c1","c4"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"genesis","hash":"aafdc06a59626e3b24203de51e6da6e461021f8142fdf5df9a5aa392052b73b7"},{"id":"s2","type":"review","url":"https://en.wikipedia.org/wiki/Alain_Aspect","title":"Alain Aspect — Wikipedia","quote":"Alain Aspect, 1982: Tested Bell's inequality with entangled photons. Quantum mechanics won. Local realism lost.","summary":"French physicist who performed the first experimental tests of Bell's inequalities in 1982, confirming quantum mechanical predictions.","claim_ids":["c1","c4"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"aafdc06a59626e3b24203de51e6da6e461021f8142fdf5df9a5aa392052b73b7","hash":"1d736992c991b48d226d8f8f03e7e7c2cbe7651195b723a7060f8b88bc981ef5"},{"id":"s3","type":"review","url":"https://en.wikipedia.org/wiki/John_Clauser","title":"John Clauser — Wikipedia","quote":"Stuart Freedman and John Clauser, 1972: First Bell test. Violation detected.","summary":"American physicist who, with Stuart Freedman, performed the first experimental test of Bell's theorem in 1972.","claim_ids":["c1"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"1d736992c991b48d226d8f8f03e7e7c2cbe7651195b723a7060f8b88bc981ef5","hash":"723181e72a9549a567ada72d7f7fa95bf4baf55d2e2337a2a84ebb31ad13a5e4"},{"id":"s4","type":"review","url":"https://en.wikipedia.org/wiki/Anton_Zeilinger","title":"Anton Zeilinger — Wikipedia","quote":"Anton Zeilinger, 2022 Nobel: Entangled photons over 144 kilometers. Instantaneous correlation. No signal crossing space. No hidden variables.","summary":"Austrian quantum physicist awarded the 2022 Nobel Prize in Physics for experiments with entangled photons, establishing the violation of Bell inequalities.","claim_ids":["c4"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"723181e72a9549a567ada72d7f7fa95bf4baf55d2e2337a2a84ebb31ad13a5e4","hash":"d6e568fc6b1f9341caf0aa4a5e26141e6338f278bd4a7602e3b735bbe00bf4d0"},{"id":"s5","type":"review","url":"https://en.wikipedia.org/wiki/Uncertainty_principle","title":"Uncertainty Principle — Wikipedia","quote":"He proved Δx Δp ≥ ℏ/2. You cannot pin nature down. The harder you squeeze position, the more momentum escapes.","summary":"Fundamental limit in quantum mechanics on the accuracy with which certain pairs of physical properties can be known simultaneously.","claim_ids":["c2","c5"],"found_by":"kimi/orchestrator","extra":{},"accessed_at":"2026-07-04T21:44:40.000Z","link_status":"ok","quote_status":"verified","prev":"d6e568fc6b1f9341caf0aa4a5e26141e6338f278bd4a7602e3b735bbe00bf4d0","hash":"b5796f3484f8d23505e628f4e1d4532f88904155db17109554b357c62a5e9124"},{"id":"s6","type":"review","url":"https://en.wikipedia.org/wiki/Kochen%E2%80%93Specker_theorem","title":"Kochen–Specker Theorem — Wikipedia","quote":"Simon Kochen and Ernst Specker, 1967: Twenty-four observables. One proof. Contextuality is mandatory. 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