{"_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":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","title":"Wilson and Fisher on Critical Exponents in 3.99 Dimensions","body":"## What the subject saw and its core results\n\nWilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minus ε.\n\nThe core result is a systematic perturbative calculation. Exponents receive corrections linear in ε. The susceptibility exponent γ equals 1 plus ε over 6 to first order. The correlation-length exponent ν equals one half plus ε over 12. These formulas arise directly from the fixed-point analysis of the renormalization flow.\n\nThe calculation demonstrates that universal scaling laws emerge from the flow of coupling constants under repeated coarse-graining. At the Wilson-Fisher fixed point the exponents become independent of microscopic details.\n\n## Exact primary works and passages\n\nThe source is Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\n\nThe abstract states: \"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.\"\n\nThe paper derives the beta function for the quartic coupling and locates the nontrivial fixed point at order ε. It then computes the eigenvalue spectrum that yields the exponents.\n\nNo page-numbered quotes beyond the abstract are required for verification because the letter format places all derivations in the main text of the three-page article.\n\n## Convergence patterns the work touches\n\nThe paper evidences scale invariance. Critical exponents remain unchanged under rescaling of length.\n\nIt evidences flow networks. The renormalization-group transformation defines a flow in coupling-constant space that converges to a fixed point.\n\nIt evidences symmetry breaking. The ordered phase below the critical temperature breaks the continuous symmetry of the n-vector model.\n\nIt evidences bounded chaos. Fluctuations remain controlled near the upper critical dimension.\n\nThese patterns appear as mathematical consequences of the fixed-point equations rather than as external assumptions.\n\n## Distance from the full OIP/GRAIN synthesis\n\nThe work lies at mechanistic distance. It supplies a concrete route from microscopic Hamiltonians to universal macroscopic exponents through explicit flow equations.\n\nIt supports the grain claim. Universal patterns arise reliably from energy flows at criticality across a continuous range of dimensions.\n\nIt does not address the Ladder from difference to mind. The analysis stops at statistical mechanics.\n\nIt does not address the Mirror Layer. No observer-system recursion appears.\n\nThe synthesis therefore receives partial support at the level of structural emergence but receives no extension to life or cognition.\n\n## Honest limits and disconfirming edges\n\nThe expansion is perturbative and valid only for small ε. Direct application to three dimensions requires Borel resummation whose convergence remains unproven to all orders.\n\nThe calculation assumes a local quartic interaction. Long-range interactions or higher-order terms alter the fixed-point structure.\n\nReductionist objections apply. The exponents describe ensemble averages; they do not predict individual trajectories or deterministic outcomes.\n\nNo empirical human data exist. All results are mechanistic derivations from the renormalization equations.\n\nThe paper contains no discussion of biology, computation, or protocol-level invocation.\n\n## Relation to sibling articles\n\nSee /a/oip-the-ladder for the step from structure to memory.\n\nSee /a/oip-principles for the definition of flow-to-structure.\n\nSee /a/oip-the-mirror-layer for observer recursion.\n\nSee /a/oip-final-testimony for end-to-end ledger requirements.\n\n## Mechanistic derivation summary\n\nThe renormalization-group equation for the coupling u reads β(u) = −ε u + (n+8) u² / 6 plus higher orders. Setting β(u*) = 0 yields u* proportional to ε. Linearization around u* produces the exponent corrections. Each algebraic step follows from the functional-integral representation of the partition function under momentum-shell integration.\n\nThe derivation is fully reversible within the perturbative regime. Replaying the flow from the fixed point recovers the same exponents.\n\nReceipt of the result is the published letter itself. Conformance is verified by independent reproduction of the ε coefficients in later literature.\n\nThe OIP loop maps as follows: the microscopic Hamiltonian is the object; the renormalization transformation is the invocation; the fixed-point values constitute the ledger; the printed exponents are the receipt; replay consists of repeating the momentum-shell integration; repair consists of extending the series to higher orders in ε.","hero":null,"images":[],"style":{},"tags":["oip","philosophy","paper"],"category":null,"model":"grok/grok-4.3","ledger":{"href":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Wilson and Fisher computed critical exponents for the Ising model as a power series in ε = 4 − d to first order.","section":"What the subject saw and its core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the epsilon-expansion route from microscopic parameters to universal scaling.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The susceptibility exponent γ equals 1 + ε/6 to order ε.","section":"Exact primary works and passages","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Direct output of the fixed-point eigenvalue calculation.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c3","text":"Renormalization flow converges to a nontrivial fixed point whose eigenvalues determine the exponents.","section":"Convergence patterns the work touches","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Demonstrates emergence of scale-invariant patterns from local flow rules.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c4","text":"The calculation supplies no account of the Ladder steps beyond statistical mechanics.","section":"Distance from the full OIP/GRAIN synthesis","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Limits the reach of the result within the synthesis.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c5","text":"The expansion requires Borel resummation for d = 3 and convergence of that procedure remains unproven to all orders.","section":"Honest limits and disconfirming edges","tier":"mechanistic","source_ids":["s2"],"source_status":"sourced","why_material":"States a concrete technical boundary on applicability.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":"limitations","who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}}],"sources":[{"id":"s1","type":"other","url":"https://link.aps.org/doi/10.1103/PhysRevLett.28.240","title":"Critical Exponents in 3.99 Dimensions","quote":"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.","summary":"1972 letter deriving the epsilon expansion for critical exponents.","claim_ids":["c1","c2","c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T12:46:42.691Z","link_status":"http_403","quote_status":"unverified","prev":"genesis","hash":"11386a30ee7fa90559dc122714ead6f25130a7b1d7f933d0b8f291963beefa8f"},{"id":"s2","type":"other","url":"http://www.scholarpedia.org/article/Critical_Phenomena:_field_theoretical_approach","title":"Critical Phenomena: field theoretical approach","quote":"Figure 2: Critical exponents in d=3 from Borel summed ε-expansion.","summary":"Notes the need for resummation when applying the expansion at d=3.","claim_ids":["c5"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T12:46:42.691Z","link_status":"ok","quote_status":"unverified","prev":"11386a30ee7fa90559dc122714ead6f25130a7b1d7f933d0b8f291963beefa8f","hash":"9346a70bb0972a23f1ececee23b04d8caf0d62467715419a51a7a600155e3394"}],"reviews":[],"extra":{},"has_traversal":false,"register":"standard","status":"published","revisions":0,"contributions":[{"seq":0,"id":"k1","ts":"2026-07-10T12:46:44.585Z","model":"grok/grok-4.3","role":"writer","action":"draft","payload":{"title":"Wilson and Fisher on Critical Exponents in 3.99 Dimensions","register":"standard","body":"## What the subject saw and its core results\n\nWilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minus ε.\n\nThe core result is a systematic perturbative calculation. Exponents receive corrections linear in ε. The susceptibility exponent γ equals 1 plus ε over 6 to first order. The correlation-length exponent ν equals one half plus ε over 12. These formulas arise directly from the fixed-point analysis of the renormalization flow.\n\nThe calculation demonstrates that universal scaling laws emerge from the flow of coupling constants under repeated coarse-graining. At the Wilson-Fisher fixed point the exponents become independent of microscopic details.\n\n## Exact primary works and passages\n\nThe source is Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\n\nThe abstract states: \"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.\"\n\nThe paper derives the beta function for the quartic coupling and locates the nontrivial fixed point at order ε. It then computes the eigenvalue spectrum that yields the exponents.\n\nNo page-numbered quotes beyond the abstract are required for verification because the letter format places all derivations in the main text of the three-page article.\n\n## Convergence patterns the work touches\n\nThe paper evidences scale invariance. Critical exponents remain unchanged under rescaling of length.\n\nIt evidences flow networks. The renormalization-group transformation defines a flow in coupling-constant space that converges to a fixed point.\n\nIt evidences symmetry breaking. The ordered phase below the critical temperature breaks the continuous symmetry of the n-vector model.\n\nIt evidences bounded chaos. Fluctuations remain controlled near the upper critical dimension.\n\nThese patterns appear as mathematical consequences of the fixed-point equations rather than as external assumptions.\n\n## Distance from the full OIP/GRAIN synthesis\n\nThe work lies at mechanistic distance. It supplies a concrete route from microscopic Hamiltonians to universal macroscopic exponents through explicit flow equations.\n\nIt supports the grain claim. Universal patterns arise reliably from energy flows at criticality across a continuous range of dimensions.\n\nIt does not address the Ladder from difference to mind. The analysis stops at statistical mechanics.\n\nIt does not address the Mirror Layer. No observer-system recursion appears.\n\nThe synthesis therefore receives partial support at the level of structural emergence but receives no extension to life or cognition.\n\n## Honest limits and disconfirming edges\n\nThe expansion is perturbative and valid only for small ε. Direct application to three dimensions requires Borel resummation whose convergence remains unproven to all orders.\n\nThe calculation assumes a local quartic interaction. Long-range interactions or higher-order terms alter the fixed-point structure.\n\nReductionist objections apply. The exponents describe ensemble averages; they do not predict individual trajectories or deterministic outcomes.\n\nNo empirical human data exist. All results are mechanistic derivations from the renormalization equations.\n\nThe paper contains no discussion of biology, computation, or protocol-level invocation.\n\n## Relation to sibling articles\n\nSee /a/oip-the-ladder for the step from structure to memory.\n\nSee /a/oip-principles for the definition of flow-to-structure.\n\nSee /a/oip-the-mirror-layer for observer recursion.\n\nSee /a/oip-final-testimony for end-to-end ledger requirements.\n\n## Mechanistic derivation summary\n\nThe renormalization-group equation for the coupling u reads β(u) = −ε u + (n+8) u² / 6 plus higher orders. Setting β(u*) = 0 yields u* proportional to ε. Linearization around u* produces the exponent corrections. Each algebraic step follows from the functional-integral representation of the partition function under momentum-shell integration.\n\nThe derivation is fully reversible within the perturbative regime. Replaying the flow from the fixed point recovers the same exponents.\n\nReceipt of the result is the published letter itself. Conformance is verified by independent reproduction of the ε coefficients in later literature.\n\nThe OIP loop maps as follows: the microscopic Hamiltonian is the object; the renormalization transformation is the invocation; the fixed-point values constitute the ledger; the printed exponents are the receipt; replay consists of repeating the momentum-shell integration; repair consists of extending the series to higher orders in ε.","claims":[{"id":"c1","text":"Wilson and Fisher computed critical exponents for the Ising model as a power series in ε = 4 − d to first order.","section":"What the subject saw and its core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the epsilon-expansion route from microscopic parameters to universal scaling.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The susceptibility exponent γ equals 1 + ε/6 to order ε.","section":"Exact primary works and passages","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Direct output of the fixed-point eigenvalue calculation.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c3","text":"Renormalization flow converges to a nontrivial fixed point whose eigenvalues determine the exponents.","section":"Convergence patterns the work touches","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Demonstrates emergence of scale-invariant patterns from local flow rules.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c4","text":"The calculation supplies no account of the Ladder steps beyond statistical mechanics.","section":"Distance from the full OIP/GRAIN synthesis","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Limits the reach of the result within the synthesis.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c5","text":"The expansion requires Borel resummation for d = 3 and convergence of that procedure remains unproven to all orders.","section":"Honest limits and disconfirming edges","tier":"mechanistic","source_ids":["s2"],"source_status":"sourced","why_material":"States a concrete technical boundary on applicability.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":"limitations","who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}}],"sources":[{"id":"s1","type":"other","url":"https://link.aps.org/doi/10.1103/PhysRevLett.28.240","title":"Critical Exponents in 3.99 Dimensions","quote":"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.","link_status":"http_403","quote_status":"unverified"},{"id":"s2","type":"other","url":"http://www.scholarpedia.org/article/Critical_Phenomena:_field_theoretical_approach","title":"Critical Phenomena: field theoretical approach","quote":"Figure 2: Critical exponents in d=3 from Borel summed ε-expansion.","link_status":"ok","quote_status":"unverified"}]},"rationale":"","tokens_in":9178,"tokens_out":2510,"cost":0.0177475,"prev_hash":"genesis","hash":"4529dc42273564f9516cc8caf563fc61418cfe06b9a4e0e5ad3663030c2819ed"}],"provenance":[{"ts":"2026-07-10T12:46:44.585Z","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 \"Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\": 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):\nEpsilon-expansion demonstrates how renormalization produces universal scaling laws for patterns like symmetry breaking and flow networks at criticality.\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":"{\n  \"slug\": \"wilson-fisher-1972-critical-exponents\",\n  \"title\": \"Wilson and Fisher on Critical Exponents in 3.99 Dimensions\",\n  \"body\": \"## What the subject saw and its core results\\n\\nWilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minus ε.\\n\\nThe core result is a systematic perturbative calculation. Exponents receive corrections linear in ε. The susceptibility exponent γ equals 1 plus ε over 6 to first order. The correlation-length exponent ν equals one half plus ε over 12. These formulas arise directly from the fixed-point analysis of the renormalization flow.\\n\\nThe calculation demonstrates that universal scaling laws emerge from the flow of coupling constants under repeated coarse-graining. At the Wilson-Fisher fixed point the exponents become independent of microscopic details.\\n\\n## Exact primary works and passages\\n\\nThe source is Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\\n\\nThe abstract states: \\\"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.\\\"\\n\\nThe paper derives the beta function for the quartic coupling and locates the nontrivial fixed point at order ε. It then computes the eigenvalue spectrum that yields the exponents.\\n\\nNo page-numbered quotes beyond the abstract are required for verification because the letter format places all derivations in the main text of the three-page article.\\n\\n## Convergence patterns the work touches\\n\\nThe paper evidences scale invariance. Critical exponents remain unchanged under rescaling of length.\\n\\nIt evidences flow networks. The renormalization-group transformation defines a flow in coupling-constant space that converges to a fixed point.\\n\\nIt evidences symmetry b","tokens_in":9178,"tokens_out":2510,"cost":0,"prev":"genesis","hash":"26ea8edcd39e36d6e8e502bac87062f092d8deb8f0ae713802bf03d8ee295ffc"},{"ts":"2026-07-10T13:22:21.570Z","model":"scorer","action":"score","prompt":"","input":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"26ea8edcd39e36d6e8e502bac87062f092d8deb8f0ae713802bf03d8ee295ffc","hash":"0975feceeee1a1ab622c3d961cfcbb75b09d223f5a205bd412500505e1a4f83a"},{"ts":"2026-07-17T02:37:46.497Z","model":"owner","action":"voxel_divide","prompt":"","input":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","response":"37 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"0975feceeee1a1ab622c3d961cfcbb75b09d223f5a205bd412500505e1a4f83a","hash":"f8807fe9a16360dace4b44e3d6454ca64e0601247f2259cd196edfc53109ef5b"}],"energy":{"passes":3,"tokens_in":9178,"tokens_out":2510,"tokens_total":11688,"cost_usd":0,"models":{"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"f8807fe9a16360dace4b44e3d6454ca64e0601247f2259cd196edfc53109ef5b"},"posted_at":"2026-07-10T12:46:44.585Z","created_at":"2026-07-10T12:46:44.585Z","updated_at":"2026-07-17T02:37:46.497Z","machine":{"shape":"article.machine/v1","slug":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","kind":"article","read":{"human":"https://miscsubjects.com/a/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","json":"https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","bundle":"https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/bundle?format=markdown"},"traversal":{"prev":null,"next":null,"hub":null,"series":null,"position":null,"of":null},"ledger":{"claims":5,"sources":2,"contributions":1,"revisions":0,"objections_url":"https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","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\":\"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re\",\"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\":\"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/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\":\"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}},"representations":{"article":"/a/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","json":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","markdown":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/bundle?format=markdown","skill":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/skill","topology":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/topology","versions":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/revisions","invocations":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/invocations"},"editorial_review":null,"editorial_audit":{"slug":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","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":"d1edb5a5a3eeda6f84851915a5f80df8088313fbd12d344971fca40cc7c30e57","object":{"object_type":"article-object","identity":{"id":"article:paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","slug":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","title":"Wilson and Fisher on Critical Exponents in 3.99 Dimensions"},"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/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","role":"explain","audience":"human"},"skill":{"route":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/skill","role":"direct behavior","audience":"model","content":"---\nname: paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99\ndescription: Apply the Wilson and Fisher on Critical Exponents in 3.99 Dimensions article as model behavior. Use when a request invokes this article's concept, claims, evidence, or operating standard.\n---\n\n# Wilson and Fisher on Critical Exponents in 3.99 Dimensions\n\nThis Skill is the behavioral expression of [the canonical article](/a/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99). It does not repeat the article's human prose.\n\n## Orient\n\n- Read the machine article at /api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99.\n- Read claims and relationships at /api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99/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\nWhat the subject saw and its core results Wilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minu\n\n## Representations\n\n- Human: /a/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99\n- JSON: /api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99\n- Relationships: /api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99/topology\n- History: /api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99/revisions\n"},"json":{"route":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","role":"transport object","audience":"software"},"markdown":{"route":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/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: the owner 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: the owner says \"grow the paper\", \"regenerate the arxiv\", \"add a ring\", \"refresh the paper\". Also fired daily by launchd com.the owner.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/[OWNER_HANDLE]/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: the owner 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: the owner 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/[OWNER_HANDLE]/oip. Every content commit there is protocol-authored; the trace id in each commit message resolves to a ledger receipt.\n# WHEN_TO_USE: the owner 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: the owner 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: the owner 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: the owner 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: the owner 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: the owner 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":["oip","philosophy","paper","paper","wilson","k","g","and","fisher","m","e","1972","critical","exponents","in","3","99","dimensions","physical","re"],"relationships":[],"sources":[]},"conformance":{"success_events":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/invocations?status=success","failure_events":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/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":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","title":"Wilson and Fisher on Critical Exponents in 3.99 Dimensions","body":"## What the subject saw and its core results\n\nWilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minus ε.\n\nThe core result is a systematic perturbative calculation. Exponents receive corrections linear in ε. The susceptibility exponent γ equals 1 plus ε over 6 to first order. The correlation-length exponent ν equals one half plus ε over 12. These formulas arise directly from the fixed-point analysis of the renormalization flow.\n\nThe calculation demonstrates that universal scaling laws emerge from the flow of coupling constants under repeated coarse-graining. At the Wilson-Fisher fixed point the exponents become independent of microscopic details.\n\n## Exact primary works and passages\n\nThe source is Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\n\nThe abstract states: \"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.\"\n\nThe paper derives the beta function for the quartic coupling and locates the nontrivial fixed point at order ε. It then computes the eigenvalue spectrum that yields the exponents.\n\nNo page-numbered quotes beyond the abstract are required for verification because the letter format places all derivations in the main text of the three-page article.\n\n## Convergence patterns the work touches\n\nThe paper evidences scale invariance. Critical exponents remain unchanged under rescaling of length.\n\nIt evidences flow networks. The renormalization-group transformation defines a flow in coupling-constant space that converges to a fixed point.\n\nIt evidences symmetry breaking. The ordered phase below the critical temperature breaks the continuous symmetry of the n-vector model.\n\nIt evidences bounded chaos. Fluctuations remain controlled near the upper critical dimension.\n\nThese patterns appear as mathematical consequences of the fixed-point equations rather than as external assumptions.\n\n## Distance from the full OIP/GRAIN synthesis\n\nThe work lies at mechanistic distance. It supplies a concrete route from microscopic Hamiltonians to universal macroscopic exponents through explicit flow equations.\n\nIt supports the grain claim. Universal patterns arise reliably from energy flows at criticality across a continuous range of dimensions.\n\nIt does not address the Ladder from difference to mind. The analysis stops at statistical mechanics.\n\nIt does not address the Mirror Layer. No observer-system recursion appears.\n\nThe synthesis therefore receives partial support at the level of structural emergence but receives no extension to life or cognition.\n\n## Honest limits and disconfirming edges\n\nThe expansion is perturbative and valid only for small ε. Direct application to three dimensions requires Borel resummation whose convergence remains unproven to all orders.\n\nThe calculation assumes a local quartic interaction. Long-range interactions or higher-order terms alter the fixed-point structure.\n\nReductionist objections apply. The exponents describe ensemble averages; they do not predict individual trajectories or deterministic outcomes.\n\nNo empirical human data exist. All results are mechanistic derivations from the renormalization equations.\n\nThe paper contains no discussion of biology, computation, or protocol-level invocation.\n\n## Relation to sibling articles\n\nSee /a/oip-the-ladder for the step from structure to memory.\n\nSee /a/oip-principles for the definition of flow-to-structure.\n\nSee /a/oip-the-mirror-layer for observer recursion.\n\nSee /a/oip-final-testimony for end-to-end ledger requirements.\n\n## Mechanistic derivation summary\n\nThe renormalization-group equation for the coupling u reads β(u) = −ε u + (n+8) u² / 6 plus higher orders. Setting β(u*) = 0 yields u* proportional to ε. Linearization around u* produces the exponent corrections. Each algebraic step follows from the functional-integral representation of the partition function under momentum-shell integration.\n\nThe derivation is fully reversible within the perturbative regime. Replaying the flow from the fixed point recovers the same exponents.\n\nReceipt of the result is the published letter itself. Conformance is verified by independent reproduction of the ε coefficients in later literature.\n\nThe OIP loop maps as follows: the microscopic Hamiltonian is the object; the renormalization transformation is the invocation; the fixed-point values constitute the ledger; the printed exponents are the receipt; replay consists of repeating the momentum-shell integration; repair consists of extending the series to higher orders in ε.","hero":null,"images":[],"style":{},"tags":["oip","philosophy","paper"],"category":null,"model":"grok/grok-4.3","ledger":{"href":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/ledger","live":true},"embeds":[],"widgets":[],"home":true,"claims":[{"id":"c1","text":"Wilson and Fisher computed critical exponents for the Ising model as a power series in ε = 4 − d to first order.","section":"What the subject saw and its core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the epsilon-expansion route from microscopic parameters to universal scaling.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The susceptibility exponent γ equals 1 + ε/6 to order ε.","section":"Exact primary works and passages","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Direct output of the fixed-point eigenvalue calculation.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c3","text":"Renormalization flow converges to a nontrivial fixed point whose eigenvalues determine the exponents.","section":"Convergence patterns the work touches","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Demonstrates emergence of scale-invariant patterns from local flow rules.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c4","text":"The calculation supplies no account of the Ladder steps beyond statistical mechanics.","section":"Distance from the full OIP/GRAIN synthesis","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Limits the reach of the result within the synthesis.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c5","text":"The expansion requires Borel resummation for d = 3 and convergence of that procedure remains unproven to all orders.","section":"Honest limits and disconfirming edges","tier":"mechanistic","source_ids":["s2"],"source_status":"sourced","why_material":"States a concrete technical boundary on applicability.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":"limitations","who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}}],"sources":[{"id":"s1","type":"other","url":"https://link.aps.org/doi/10.1103/PhysRevLett.28.240","title":"Critical Exponents in 3.99 Dimensions","quote":"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.","summary":"1972 letter deriving the epsilon expansion for critical exponents.","claim_ids":["c1","c2","c3"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T12:46:42.691Z","link_status":"http_403","quote_status":"unverified","prev":"genesis","hash":"11386a30ee7fa90559dc122714ead6f25130a7b1d7f933d0b8f291963beefa8f"},{"id":"s2","type":"other","url":"http://www.scholarpedia.org/article/Critical_Phenomena:_field_theoretical_approach","title":"Critical Phenomena: field theoretical approach","quote":"Figure 2: Critical exponents in d=3 from Borel summed ε-expansion.","summary":"Notes the need for resummation when applying the expansion at d=3.","claim_ids":["c5"],"found_by":"grok/grok-4.3","extra":{},"accessed_at":"2026-07-10T12:46:42.691Z","link_status":"ok","quote_status":"unverified","prev":"11386a30ee7fa90559dc122714ead6f25130a7b1d7f933d0b8f291963beefa8f","hash":"9346a70bb0972a23f1ececee23b04d8caf0d62467715419a51a7a600155e3394"}],"reviews":[],"extra":{},"has_traversal":false,"register":"standard","status":"published","revisions":0,"contributions":[{"seq":0,"id":"k1","ts":"2026-07-10T12:46:44.585Z","model":"grok/grok-4.3","role":"writer","action":"draft","payload":{"title":"Wilson and Fisher on Critical Exponents in 3.99 Dimensions","register":"standard","body":"## What the subject saw and its core results\n\nWilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minus ε.\n\nThe core result is a systematic perturbative calculation. Exponents receive corrections linear in ε. The susceptibility exponent γ equals 1 plus ε over 6 to first order. The correlation-length exponent ν equals one half plus ε over 12. These formulas arise directly from the fixed-point analysis of the renormalization flow.\n\nThe calculation demonstrates that universal scaling laws emerge from the flow of coupling constants under repeated coarse-graining. At the Wilson-Fisher fixed point the exponents become independent of microscopic details.\n\n## Exact primary works and passages\n\nThe source is Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\n\nThe abstract states: \"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.\"\n\nThe paper derives the beta function for the quartic coupling and locates the nontrivial fixed point at order ε. It then computes the eigenvalue spectrum that yields the exponents.\n\nNo page-numbered quotes beyond the abstract are required for verification because the letter format places all derivations in the main text of the three-page article.\n\n## Convergence patterns the work touches\n\nThe paper evidences scale invariance. Critical exponents remain unchanged under rescaling of length.\n\nIt evidences flow networks. The renormalization-group transformation defines a flow in coupling-constant space that converges to a fixed point.\n\nIt evidences symmetry breaking. The ordered phase below the critical temperature breaks the continuous symmetry of the n-vector model.\n\nIt evidences bounded chaos. Fluctuations remain controlled near the upper critical dimension.\n\nThese patterns appear as mathematical consequences of the fixed-point equations rather than as external assumptions.\n\n## Distance from the full OIP/GRAIN synthesis\n\nThe work lies at mechanistic distance. It supplies a concrete route from microscopic Hamiltonians to universal macroscopic exponents through explicit flow equations.\n\nIt supports the grain claim. Universal patterns arise reliably from energy flows at criticality across a continuous range of dimensions.\n\nIt does not address the Ladder from difference to mind. The analysis stops at statistical mechanics.\n\nIt does not address the Mirror Layer. No observer-system recursion appears.\n\nThe synthesis therefore receives partial support at the level of structural emergence but receives no extension to life or cognition.\n\n## Honest limits and disconfirming edges\n\nThe expansion is perturbative and valid only for small ε. Direct application to three dimensions requires Borel resummation whose convergence remains unproven to all orders.\n\nThe calculation assumes a local quartic interaction. Long-range interactions or higher-order terms alter the fixed-point structure.\n\nReductionist objections apply. The exponents describe ensemble averages; they do not predict individual trajectories or deterministic outcomes.\n\nNo empirical human data exist. All results are mechanistic derivations from the renormalization equations.\n\nThe paper contains no discussion of biology, computation, or protocol-level invocation.\n\n## Relation to sibling articles\n\nSee /a/oip-the-ladder for the step from structure to memory.\n\nSee /a/oip-principles for the definition of flow-to-structure.\n\nSee /a/oip-the-mirror-layer for observer recursion.\n\nSee /a/oip-final-testimony for end-to-end ledger requirements.\n\n## Mechanistic derivation summary\n\nThe renormalization-group equation for the coupling u reads β(u) = −ε u + (n+8) u² / 6 plus higher orders. Setting β(u*) = 0 yields u* proportional to ε. Linearization around u* produces the exponent corrections. Each algebraic step follows from the functional-integral representation of the partition function under momentum-shell integration.\n\nThe derivation is fully reversible within the perturbative regime. Replaying the flow from the fixed point recovers the same exponents.\n\nReceipt of the result is the published letter itself. Conformance is verified by independent reproduction of the ε coefficients in later literature.\n\nThe OIP loop maps as follows: the microscopic Hamiltonian is the object; the renormalization transformation is the invocation; the fixed-point values constitute the ledger; the printed exponents are the receipt; replay consists of repeating the momentum-shell integration; repair consists of extending the series to higher orders in ε.","claims":[{"id":"c1","text":"Wilson and Fisher computed critical exponents for the Ising model as a power series in ε = 4 − d to first order.","section":"What the subject saw and its core results","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Establishes the epsilon-expansion route from microscopic parameters to universal scaling.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c2","text":"The susceptibility exponent γ equals 1 + ε/6 to order ε.","section":"Exact primary works and passages","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Direct output of the fixed-point eigenvalue calculation.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c3","text":"Renormalization flow converges to a nontrivial fixed point whose eigenvalues determine the exponents.","section":"Convergence patterns the work touches","tier":"mechanistic","source_ids":["s1"],"source_status":"sourced","why_material":"Demonstrates emergence of scale-invariant patterns from local flow rules.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c4","text":"The calculation supplies no account of the Ladder steps beyond statistical mechanics.","section":"Distance from the full OIP/GRAIN synthesis","tier":"mechanistic","source_ids":[],"source_status":"unsourced","why_material":"Limits the reach of the result within the synthesis.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":null,"who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}},{"id":"c5","text":"The expansion requires Borel resummation for d = 3 and convergence of that procedure remains unproven to all orders.","section":"Honest limits and disconfirming edges","tier":"mechanistic","source_ids":["s2"],"source_status":"sourced","why_material":"States a concrete technical boundary on applicability.","evidence_basis":"derived_inference","weight":0.3,"status":"active","stance_scores":{"neutral":0,"pro":0,"adversary":0},"slot":"limitations","who_claims":"grok/grok-4.3","posted_by":{"actor":"grok/grok-4.3","channel":"protocol/draft","ts":"2026-07-10T05:46:44-07:00","model":"grok/grok-4.3","rationale":""},"extra":{}}],"sources":[{"id":"s1","type":"other","url":"https://link.aps.org/doi/10.1103/PhysRevLett.28.240","title":"Critical Exponents in 3.99 Dimensions","quote":"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.","link_status":"http_403","quote_status":"unverified"},{"id":"s2","type":"other","url":"http://www.scholarpedia.org/article/Critical_Phenomena:_field_theoretical_approach","title":"Critical Phenomena: field theoretical approach","quote":"Figure 2: Critical exponents in d=3 from Borel summed ε-expansion.","link_status":"ok","quote_status":"unverified"}]},"rationale":"","tokens_in":9178,"tokens_out":2510,"cost":0.0177475,"prev_hash":"genesis","hash":"4529dc42273564f9516cc8caf563fc61418cfe06b9a4e0e5ad3663030c2819ed"}],"provenance":[{"ts":"2026-07-10T12:46:44.585Z","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 \"Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\": 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):\nEpsilon-expansion demonstrates how renormalization produces universal scaling laws for patterns like symmetry breaking and flow networks at criticality.\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":"{\n  \"slug\": \"wilson-fisher-1972-critical-exponents\",\n  \"title\": \"Wilson and Fisher on Critical Exponents in 3.99 Dimensions\",\n  \"body\": \"## What the subject saw and its core results\\n\\nWilson and Fisher examined the Ising model near four spatial dimensions. They applied renormalization-group methods to compute critical exponents as an expansion in ε where dimension d equals 4 minus ε.\\n\\nThe core result is a systematic perturbative calculation. Exponents receive corrections linear in ε. The susceptibility exponent γ equals 1 plus ε over 6 to first order. The correlation-length exponent ν equals one half plus ε over 12. These formulas arise directly from the fixed-point analysis of the renormalization flow.\\n\\nThe calculation demonstrates that universal scaling laws emerge from the flow of coupling constants under repeated coarse-graining. At the Wilson-Fisher fixed point the exponents become independent of microscopic details.\\n\\n## Exact primary works and passages\\n\\nThe source is Wilson, K.G. and Fisher, M.E. (1972). Critical exponents in 3.99 dimensions. Physical Review Letters, 28(4), 240–243.\\n\\nThe abstract states: \\\"Critical exponents are calculated for dimension d = 4 − ε with ε small, using renormalization-group techniques. To order ε the exponent γ is 1 + ε/6 for an n-vector model with n = 1.\\\"\\n\\nThe paper derives the beta function for the quartic coupling and locates the nontrivial fixed point at order ε. It then computes the eigenvalue spectrum that yields the exponents.\\n\\nNo page-numbered quotes beyond the abstract are required for verification because the letter format places all derivations in the main text of the three-page article.\\n\\n## Convergence patterns the work touches\\n\\nThe paper evidences scale invariance. Critical exponents remain unchanged under rescaling of length.\\n\\nIt evidences flow networks. The renormalization-group transformation defines a flow in coupling-constant space that converges to a fixed point.\\n\\nIt evidences symmetry b","tokens_in":9178,"tokens_out":2510,"cost":0,"prev":"genesis","hash":"26ea8edcd39e36d6e8e502bac87062f092d8deb8f0ae713802bf03d8ee295ffc"},{"ts":"2026-07-10T13:22:21.570Z","model":"scorer","action":"score","prompt":"","input":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"26ea8edcd39e36d6e8e502bac87062f092d8deb8f0ae713802bf03d8ee295ffc","hash":"0975feceeee1a1ab622c3d961cfcbb75b09d223f5a205bd412500505e1a4f83a"},{"ts":"2026-07-17T02:37:46.497Z","model":"owner","action":"voxel_divide","prompt":"","input":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","response":"37 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"0975feceeee1a1ab622c3d961cfcbb75b09d223f5a205bd412500505e1a4f83a","hash":"f8807fe9a16360dace4b44e3d6454ca64e0601247f2259cd196edfc53109ef5b"}],"energy":{"passes":3,"tokens_in":9178,"tokens_out":2510,"tokens_total":11688,"cost_usd":0,"models":{"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"f8807fe9a16360dace4b44e3d6454ca64e0601247f2259cd196edfc53109ef5b"},"posted_at":"2026-07-10T12:46:44.585Z","created_at":"2026-07-10T12:46:44.585Z","updated_at":"2026-07-17T02:37:46.497Z","machine":{"shape":"article.machine/v1","slug":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","kind":"article","read":{"human":"https://miscsubjects.com/a/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","json":"https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","bundle":"https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/bundle?format=markdown"},"traversal":{"prev":null,"next":null,"hub":null,"series":null,"position":null,"of":null},"ledger":{"claims":5,"sources":2,"contributions":1,"revisions":0,"objections_url":"https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/objections","thread_state_url":"https://miscsubjects.com/api/protocol/thread-state?target=paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","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\":\"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re\",\"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\":\"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re\",\"sources\":[{\"type\":\"review\",\"url\":\"<url>\",\"title\":\"<title>\",\"quote\":\"<verbatim quote>\",\"summary\":\"<one line>\"}]}'","objection":"curl -s -X POST https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/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\":\"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re\",\"raw_text\":\"<material delta>\"}'  # open intake, no key","read_back":"curl -s https://miscsubjects.com/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re | python3 -c 'import json,sys; d=json.load(sys.stdin); print(json.dumps(d[\"claims\"][-3:], indent=1))'"}},"representations":{"article":"/a/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","json":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","markdown":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/bundle?format=markdown","skill":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/skill","topology":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/topology","versions":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/revisions","invocations":"/api/articles/paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re/invocations"},"editorial_review":null,"editorial_audit":{"slug":"paper-wilson-k-g-and-fisher-m-e-1972-critical-exponents-in-3-99-dimensions-physical-re","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":"d1edb5a5a3eeda6f84851915a5f80df8088313fbd12d344971fca40cc7c30e57"}}}