{"slug":"paper-wilson-k-g-1975-the-renormalization-group-critical-phenomena-and-the-kondo-probl","verification":{"valid":true,"entries":2,"head":"2b704756423e6ae87b5af7e7f05f2cfd34b098dc0052116566b6526c3d338587"},"energy":{"passes":2,"tokens_in":12535,"tokens_out":3176,"tokens_total":15711,"cost_usd":0,"models":{"grok/grok-4.3":1,"scorer":1},"head":"2b704756423e6ae87b5af7e7f05f2cfd34b098dc0052116566b6526c3d338587"},"provenance":[{"ts":"2026-07-10T12:46:54.450Z","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. (1975). The renormalization group: Critical phenomena and the Kondo problem. Reviews of Modern Physics, 47(4), 583–600.\": 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):\nSynthesizes RG as tool for scale-invariant behavior in systems far from equilibrium, bridging thermodynamics to emergent order and memory effects.\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-1975-renormalization-group\",\n  \"title\": \"Wilson 1975: Renormalization Group, Scale Invariance, and Critical Phenomena\",\n  \"body\": \"## What Wilson Saw\\n\\nKenneth G. Wilson examined systems with many interacting length scales. Critical phenomena occur near phase transitions. Properties such as magnetization or specific heat diverge or show power-law behavior. These behaviors remain independent of microscopic details at long distances.\\n\\nWilson developed the renormalization group (RG) as a systematic method. RG integrates out short-wavelength fluctuations step by step. Each step produces an effective description at a coarser scale. Fixed points of the RG flow determine universal exponents.\\n\\nThe same framework solved the Kondo problem. A magnetic impurity in a metal produces a resistance minimum at low temperature. RG tracks the flow of the coupling strength between impurity and conduction electrons.\\n\\n## Core Results from the 1975 Paper\\n\\nThe 1975 review presents RG ideas for critical phenomena. It also gives the non-perturbative solution of the s-wave Kondo Hamiltonian.\\n\\nWilson states the strategy: tackle problems involving many length scales by successive integration of fluctuations from atomic scales upward.\\n\\nThe paper demonstrates that RG yields quantitative predictions for critical exponents in three-dimensional Ising and Heisenberg models. It connects these exponents to the dimensionality and symmetry of the order parameter.\\n\\nFor the Kondo problem, Wilson shows the impurity coupling grows under RG flow. This growth produces the observed low-temperature screening of the impurity spin.\\n\\nPrimary work: Wilson, K.G. (1975). The renormalization group: Critical phenomena and the Kondo problem. Reviews of Modern Physics, 47(4), 773.\\n\\nRelated Nobel lecture passages supply verifiable statements of the method. \\\"The renormalization group approach is a strategy for dealing with problems involving many length scales. The strategy is to tackl","tokens_in":12535,"tokens_out":3176,"cost":0,"prev":"genesis","hash":"e9c73c61bff2b1097a8c39727e9b2b0852c531ed43791232dfe728ba2788dc75"},{"ts":"2026-07-10T13:22:22.399Z","model":"scorer","action":"score","prompt":"","input":"paper-wilson-k-g-1975-the-renormalization-group-critical-phenomena-and-the-kondo-probl","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"e9c73c61bff2b1097a8c39727e9b2b0852c531ed43791232dfe728ba2788dc75","hash":"2b704756423e6ae87b5af7e7f05f2cfd34b098dc0052116566b6526c3d338587"}]}