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I.\" *Physical Review B* 4(9), 3174–3183 (1971). DOI: 10.1103/PhysRevB.4.3174.","status":"active","vx_hash":"1bdbbeb110dcc8deaf60b9bbe067b619c31a9d296afc46ca6bd2228e01287e36","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"b7d782a0d17bc83998a47469b86c1cbee8b9186f7a7a3262d51fe8d1718430a3","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"4ad1696f9fdf195dffe5545757318267c331ab02114bb5cb36da1a7517e566bf","detail":{"divided_from":"body","block":2,"kind":"p"},"prev":"genesis","hash":"b7d782a0d17bc83998a47469b86c1cbee8b9186f7a7a3262d51fe8d1718430a3"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d2"},{"id":"d3","kind":"p","type":null,"order":3,"text":"Wilson, K.G. \"Renormalization Group and Critical Phenomena. 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DOI: 10.1103/PhysRevB.4.3184.","status":"active","vx_hash":"3fba26f582bad31f36ac883a9441ffc2670d4f968c8e2410731e5d4a382bba68","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"81958d6024b873f0098d1042576cd6a04d0478871a20b63f05e5b30e712b3b69","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"64a05a913c93ae31932d6d0232d7c85b78f1c65da311223975030fc402874b9e","detail":{"divided_from":"body","block":3,"kind":"p"},"prev":"genesis","hash":"81958d6024b873f0098d1042576cd6a04d0478871a20b63f05e5b30e712b3b69"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d3"},{"id":"d4","kind":"h","type":null,"order":4,"text":"## The Claim","status":"active","vx_hash":"cf344d4c7d1614fcdf8e5fbc9bf04eef5d7ffcaa975c2c98b621845fd985125d","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"a02446b5c1a6c2428bbfe43edfc5b878aa744a102f326a4f3f1ed723528d5850","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"2245dc634908079bb80842653fb721ac1fe95f51cc81ce06583e2378b12ae434","detail":{"divided_from":"body","block":4,"kind":"h"},"prev":"genesis","hash":"a02446b5c1a6c2428bbfe43edfc5b878aa744a102f326a4f3f1ed723528d5850"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d4"},{"id":"d5","kind":"p","type":null,"order":5,"text":"At criticality, correlation length shoots to infinity. The system forgets its atoms. Symmetry alone picks the numbers.","status":"active","vx_hash":"6b9e64b191256bea9143429e65062e564a9c636e6e6c32412b175ab6a801090c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"8125705a43823cea96e7ce0bb670e1154f7016f36cdce2739870cea3baaf2c42","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"5c9c2e6edfbe28446b94582d25ed8a9497c2acbc6cb53705b75f9aa4b5cdbac1","detail":{"divided_from":"body","block":5,"kind":"p"},"prev":"genesis","hash":"8125705a43823cea96e7ce0bb670e1154f7016f36cdce2739870cea3baaf2c42"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d5"},{"id":"d6","kind":"h","type":null,"order":6,"text":"## The Context","status":"active","vx_hash":"51a55cfe168283aab7ec5cc01a56ac1259a10dce1c47cde9ffa73a27d6ddf8cf","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"92b93ce5a7ada051f8cd6cba7ee4df3458436daead395868fb352d131057647e","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"85b058c167a8d3429b009ccee86a30685a7a6e21b7ec5674c395af1573128506","detail":{"divided_from":"body","block":6,"kind":"h"},"prev":"genesis","hash":"92b93ce5a7ada051f8cd6cba7ee4df3458436daead395868fb352d131057647e"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d6"},{"id":"d7","kind":"list","type":null,"order":7,"text":"1971. Cornell. Magnets, fluids, and alloys share the same exponents. Landau's theory fails. Experiments defy prediction. Wilson takes Kadanoff's block-spin idea and builds the machine. Coarse-graining erases the small. The large survives.","status":"active","vx_hash":"e96b53f14af64bd42abef1895ea1b3b7f7c4cb0d6afcae437b1767820dff5a98","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"5b5476e14932d6e9d546a6bff4a8cd336443b8a6153b9fc826952374c8b22aac","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"16e80bfe8d703104a9331e1f22e7188d0019e97ffe376698b5fa179c4565b66a","detail":{"divided_from":"body","block":7,"kind":"list"},"prev":"genesis","hash":"5b5476e14932d6e9d546a6bff4a8cd336443b8a6153b9fc826952374c8b22aac"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d7"},{"id":"d8","kind":"h","type":null,"order":8,"text":"## The Evidence","status":"active","vx_hash":"55c880e5850b6a4d7da8f1597997cf3546e2d3d0870b14877a71af83905acb76","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"020e2c909acbbe6571cad60b9a1a37f75dc7b1767f52f458ca2ff41bcf6cb952","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"4304963d62d201a473a5dcdfdc689cf14aa577c87c2932120e97ceaa34a5f125","detail":{"divided_from":"body","block":8,"kind":"h"},"prev":"genesis","hash":"020e2c909acbbe6571cad60b9a1a37f75dc7b1767f52f458ca2ff41bcf6cb952"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d8"},{"id":"d9","kind":"p","type":null,"order":9,"text":"Wilson writes the renormalization group as a flow. Repeated rescaling drives the Hamiltonian toward fixed points. At those points, ξ → ∞. Finite scales wash away. Critical exponents emerge as eigenvalues. Part I maps Kadanoff scaling to field theory. Part II runs the phase-space cell analysis. The epsilon expansion debuts. The numbers match experiment.","status":"active","vx_hash":"6b0824f125b6b43735b5950fe2e944070b6245aef840ba587411ff5a8d90bbf3","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"9e08ed9c0614530ab431363d5384cf1c1003a9bc554062a7a098893b53db9d91","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"f2d37797bd1bfcf2cfd11d41cb00e329715b9f9e0bab45a9964d98aa52234691","detail":{"divided_from":"body","block":9,"kind":"p"},"prev":"genesis","hash":"9e08ed9c0614530ab431363d5384cf1c1003a9bc554062a7a098893b53db9d91"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d9"},{"id":"d10","kind":"h","type":null,"order":10,"text":"## The Convergence","status":"active","vx_hash":"d494954907c351ac4ef997045eeb6fcc8b7d481f38277ab764d3d483c9f04e4d","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"a4db0a68592a2c82b126e4cddf76de8b4e264b7c53c25a1a1825a8cfc851244c","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"05e096b2ed2724a478edb36ab13a7afe34e268ba8780899f9fb42af21e1c454f","detail":{"divided_from":"body","block":10,"kind":"h"},"prev":"genesis","hash":"a4db0a68592a2c82b126e4cddf76de8b4e264b7c53c25a1a1825a8cfc851244c"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d10"},{"id":"d11","kind":"p","type":null,"order":11,"text":"This instantiates **C05 — Criticality** and **C10 — Scale Invariance**.","status":"active","vx_hash":"1db6ee56f6de39b9b2ef74f7bf93935fd06d703ab66cfad9722f95c08e498cd4","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"1245f52bba8e2663daff6c939cc771139e737f7667737c8c5c2af3e3555934ef","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"6ba6519219ad0b12710753a5bc029bd0d98c2f3a628b292259ab2cb284adbdf2","detail":{"divided_from":"body","block":11,"kind":"p"},"prev":"genesis","hash":"1245f52bba8e2663daff6c939cc771139e737f7667737c8c5c2af3e3555934ef"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d11"},{"id":"d12","kind":"p","type":null,"order":12,"text":"Wilson proves that criticality and scale invariance are one face. No characteristic scale means power laws. The same exponents rule magnets, fluids, and sandpiles. The renormalization group is the bridge. It links Bak's avalanches [SOURCE:bak-1987|type:empirical] to fractal geometry to metabolic scaling. One engine. Many bodies.","status":"active","vx_hash":"ed881223fc44df9b74761826676098ec6266dfc527d210724f28e360855afd56","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"9df54b176ffd9b732afc958d7acc28111aba476f4e2123ff4b32b46b07a0d3ff","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"4c392e97f39ea77321c7eca125a44a05581885c81cb86263d8d8a62ca875d945","detail":{"divided_from":"body","block":12,"kind":"p"},"prev":"genesis","hash":"9df54b176ffd9b732afc958d7acc28111aba476f4e2123ff4b32b46b07a0d3ff"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d12"},{"id":"d13","kind":"p","type":null,"order":13,"text":"GRAIN scores this edge at convergence strength 8. Four fields. Four methods. Same statistics.","status":"active","vx_hash":"11cb2c8f75ed37c81597bf6fa6b2d170c5ec1e4e3fa464259ed6240cc30876d6","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"a8b7fa7bc65baab82761d21fbe138a1f212fd184a80259761d63281cf70fa26b","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"8d594dc6aaff3e56134b3a36219e0e4ebad6b099542c3c925ee07ae7a7a48150","detail":{"divided_from":"body","block":13,"kind":"p"},"prev":"genesis","hash":"a8b7fa7bc65baab82761d21fbe138a1f212fd184a80259761d63281cf70fa26b"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d13"},{"id":"d14","kind":"h","type":null,"order":14,"text":"## The Honest Limits","status":"active","vx_hash":"a9b44511cc4182593697b9bcb2a4a09e507f22a5c6ab4cc02e91be941864ea5c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"fef6c78a32ca3abd67439b44197faec12cfbf75010cfa53857532bf34e1e9ff1","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"452aeff3558a811b9608405ff6e10a86add5a9b3119789153a6df5285c8f3214","detail":{"divided_from":"body","block":14,"kind":"h"},"prev":"genesis","hash":"fef6c78a32ca3abd67439b44197faec12cfbf75010cfa53857532bf34e1e9ff1"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d14"},{"id":"d15","kind":"p","type":null,"order":15,"text":"Wilson addresses equilibrium. He does not touch self-organized criticality. Bak's sandpiles find criticality alone. Wilson needs a dial.","status":"active","vx_hash":"f44a092f09c54bfba43b9123614315fc560ff447d4584bf467863beb8f157c87","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"a225aa9c3dc98903be48436e5e5f71eef2f88c208f72fc57200fe2d8018a98df","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"38d409a9c31939046e7eed09ffdc4d3618787a509988f6c6582f3d67a111c3e3","detail":{"divided_from":"body","block":15,"kind":"p"},"prev":"genesis","hash":"a225aa9c3dc98903be48436e5e5f71eef2f88c208f72fc57200fe2d8018a98df"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d15"},{"id":"d16","kind":"p","type":null,"order":16,"text":"The epsilon expansion lives near four dimensions. Low dimensions break it. The Kosterlitz-Thouless transition escapes his net.","status":"active","vx_hash":"d0b0b51177338eed5616da299f22698f853b20116960f01d840f68dc627fba1a","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"906f4acc177e001aad55d6e5b37380af6d6761ac8833129dc5849e43ed18e26b","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"1395212851b323136cc605cb5e949b14cedde4b7c3028afde77c8c61a5823cac","detail":{"divided_from":"body","block":16,"kind":"p"},"prev":"genesis","hash":"906f4acc177e001aad55d6e5b37380af6d6761ac8833129dc5849e43ed18e26b"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d16"},{"id":"d17","kind":"p","type":null,"order":17,"text":"Wilson gives math. He does not give the why. Why do brains, markets, and quakes sit near criticality? That waits for Beggs, Kauffman, and GRAIN.","status":"active","vx_hash":"c90e2ad62491518ba0d99a1ce694a7998510bddcd3c91365d9b265eb65453052","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"75cc7f792af689988f336e2a02a6f3e30cf9a4ad591a3e0ce666dd39b19b54e5","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"9145517f2e6a484fb46c4e001c481845ad134b616309215d6dd297ef0aa1b8c1","detail":{"divided_from":"body","block":17,"kind":"p"},"prev":"genesis","hash":"75cc7f792af689988f336e2a02a6f3e30cf9a4ad591a3e0ce666dd39b19b54e5"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d17"},{"id":"d18","kind":"p","type":null,"order":18,"text":"Rival: power laws are fitting artifacts. Log-log plots make them appear. Finite systems show cutoff effects. Pure scaling is an idealization.","status":"active","vx_hash":"d0918d64f85ae502d0c61be1f8b4f346ce56d62afca226ca3aba8f5614d51b55","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"80598ad63012ddd38a8ef4e5a5339491bb5976f8ac79228e7f204a52f4ba53fb","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"5e3894c6aa83c62e9f41a3853e24315aa62be828f59cb513ee55af856c7044b4","detail":{"divided_from":"body","block":18,"kind":"p"},"prev":"genesis","hash":"80598ad63012ddd38a8ef4e5a5339491bb5976f8ac79228e7f204a52f4ba53fb"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d18"},{"id":"d19","kind":"h","type":null,"order":19,"text":"## The Receipt","status":"active","vx_hash":"c666044b774338b8fead75c5d9e5cb8a97c298814678997eb4a43a9122d8f366","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"38f099f0bb1f18776a3b6a3ec191cd80565f4f4b5214f487814c1721e2b8582b","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"3f03b42428fe6c47de525ee3fd7e744eb0549d541b6d4dfaeb678d0f5bf5bf82","detail":{"divided_from":"body","block":19,"kind":"h"},"prev":"genesis","hash":"38f099f0bb1f18776a3b6a3ec191cd80565f4f4b5214f487814c1721e2b8582b"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d19"},{"id":"d20","kind":"quote","type":null,"order":20,"text":"> \"At criticality, correlation length ξ → ∞; the system becomes scale-invariant.\"","status":"active","vx_hash":"2915bfbf37d53084aa378cde21d61f4aaf39ff94f9fd969bc8ca9febc7184002","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"36c9a0db2b7f01d25a62db7d9daeabc3037b73be335994f2dcd270925da2b936","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"03713675f3b8796f93303c700e7d29baa6628b792e4ade4654d069377783a6fe","detail":{"divided_from":"body","block":20,"kind":"quote"},"prev":"genesis","hash":"36c9a0db2b7f01d25a62db7d9daeabc3037b73be335994f2dcd270925da2b936"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d20"},{"id":"d21","kind":"p","type":null,"order":21,"text":"This is Wilson's core payload. The Hamiltonian flows to H* under rescaling. Microscopic details vanish. Different systems land on the same fixed point. Same exponents. Same numbers. That is the proof.","status":"active","vx_hash":"102ab938feaea860f380995c188aac07e3e6e2a105c658ecb6f0e0455c451531","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"35b6c96d333e26c14b66c5074f431eb9913346c01377be0324ec11db06dd5c2e","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"c80903a6acf731ad762adf415ed0c19f9661febe6f09eb27756408733f6197e7","detail":{"divided_from":"body","block":21,"kind":"p"},"prev":"genesis","hash":"35b6c96d333e26c14b66c5074f431eb9913346c01377be0324ec11db06dd5c2e"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d21"},{"id":"d22","kind":"h","type":null,"order":22,"text":"## Related Sources","status":"active","vx_hash":"ecc60e48dbbaac7dee16009b3f1b430cedc2b67beda332f5d5454e27a5ab304f","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"502998b8a3eab053ee695538a2824253bbaabce84d678df8ce6799aa101fe6f3","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"88ccc71a9fcb2a0f19362524b96e279a80a26e8634ba94cf982b2bab7b81dfa9","detail":{"divided_from":"body","block":22,"kind":"h"},"prev":"genesis","hash":"502998b8a3eab053ee695538a2824253bbaabce84d678df8ce6799aa101fe6f3"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d22"},{"id":"d23","kind":"list","type":null,"order":23,"text":"- [Bak, Tang & Wiesenfeld — Self-Organized Criticality (1987)](/articles/bak-1987): Wilson's math meets systems that tune themselves.\n- [Schrödinger 1944 — What Is Life?](/articles/schrodinger-1944): Physics crosses into biology. Wilson's machinery follows.\n- [Noether 1918 — Invariante Variationsprobleme](/articles/noether-1918): Symmetry begets conservation. Wilson's fixed points inherit this law.\n- [Wiener 1948 — Cybernetics](/articles/wiener-1948): Feedback and control. The engineering cousin to scaling.\n- [Barabási & Albert 1999 — Scale-Free Networks](/articles/barabasi-1999): Power laws in links. Wilson's math in graph space.\n- [Prigogine 1977 — Dissipative Structures](/articles/prigogine-1977): Non-equilibrium order. The thermodynamic cousin to criticality.","status":"active","vx_hash":"8d1a3eca378b60fd18a35c434e4e3b9c7680b085b988f631eca59d32627bcfc4","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"3e9f3baadfa20d5bc786d0d4bc1c28152665a58172bddb038c21fe8fd7a88570","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:43:41.484Z","actor":"owner","text_sha":"d43bc5fa798295d2c53bab1db0177c0b40dfe451e3e5bd41d4eb110014f4f5dc","detail":{"divided_from":"body","block":23,"kind":"list"},"prev":"genesis","hash":"3e9f3baadfa20d5bc786d0d4bc1c28152665a58172bddb038c21fe8fd7a88570"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:43:41.484Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/wilson-1971/d23"}],"voxels":[{"id":"c1","div_id":"claim:c1","kind":"claim","text":"At criticality, correlation length ξ diverges to infinity, rendering the system scale-invariant.","tier":"system","standing":null,"weight":1,"status":"active","source_ids":["s1","s2"],"posted_by":null,"who_claims":null,"edges":[{"type":"supported_by","target":"s1","source_type":"primary","hash":null},{"type":"supported_by","target":"s2","source_type":"primary","hash":null}],"content_hash":null,"stable_url":"https://miscsubjects.com/i/claim/wilson-1971/c1","machine_url":"https://miscsubjects.com/api/articles/wilson-1971/claims/c1"},{"id":"c2","div_id":"claim:c2","kind":"claim","text":"The renormalization group describes critical phenomena as a flow of Hamiltonians under repeated rescaling toward fixed points.","tier":"system","standing":null,"weight":1,"status":"active","source_ids":["s1","s2"],"posted_by":null,"who_claims":null,"edges":[{"type":"supported_by","target":"s1","source_type":"primary","hash":null},{"type":"supported_by","target":"s2","source_type":"primary","hash":null}],"content_hash":null,"stable_url":"https://miscsubjects.com/i/claim/wilson-1971/c2","machine_url":"https://miscsubjects.com/api/articles/wilson-1971/claims/c2"},{"id":"c3","div_id":"claim:c3","kind":"claim","text":"Critical exponents emerge as eigenvalues of the linearized renormalization group at fixed points.","tier":"system","standing":null,"weight":0.95,"status":"active","source_ids":["s1","s2"],"posted_by":null,"who_claims":null,"edges":[{"type":"supported_by","target":"s1","source_type":"primary","hash":null},{"type":"supported_by","target":"s2","source_type":"primary","hash":null}],"content_hash":null,"stable_url":"https://miscsubjects.com/i/claim/wilson-1971/c3","machine_url":"https://miscsubjects.com/api/articles/wilson-1971/claims/c3"},{"id":"c4","div_id":"claim:c4","kind":"claim","text":"The same critical exponents govern magnets, fluids, and alloys — universality across different physical 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criticality.","tier":"system","standing":null,"weight":0.9,"status":"active","source_ids":["s1","s2"],"posted_by":null,"who_claims":null,"edges":[{"type":"supported_by","target":"s1","source_type":"primary","hash":null},{"type":"supported_by","target":"s2","source_type":"primary","hash":null}],"content_hash":null,"stable_url":"https://miscsubjects.com/i/claim/wilson-1971/c6","machine_url":"https://miscsubjects.com/api/articles/wilson-1971/claims/c6"},{"id":"c7","div_id":"claim:c7","kind":"claim","text":"The epsilon expansion breaks down in low dimensions, failing to capture phenomena such as the Kosterlitz-Thouless 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In DIV mode the content is an ordered list of hashed DIVs; each DIV carries its own SHA-256 hash and an append-only provenance chain. Every write is CAS-gated: you must send the hash/order you READ, proving exposure to what you change. Every successful write returns a clickable human permalink.","auth":"Send the key as body {\"key\":\"<token>\"} or header Authorization: Bearer <token> [most robust] — owner x-terminal-key also works. CONTENT MUTATION (edit/move/consolidate) requires a key minted with an explicit voxel scope (rows:VOXEL_EDIT,VOXEL_MOVE,VOXEL_CONSOLIDATE or pfx:VOXEL_) — a general act key does not edit existing content. Filing a challenge or attestation needs no key at all.","web_runtime":"WEB CHATGPT: open https://miscsubjects.com/api/model-lane first. Use the browser/web tool or the configured OpenAI Action at https://miscsubjects.com/api/openai/actions.json. Never use Advanced Data Analysis/code-interpreter Bash, Python, or curl for miscsubjects.com. 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Document mode {\"document\":{\"slug\",\"title\",\"markdown\"},\"actor\",\"key\"} hybridizes an entire markdown document into ordered DIVs (new article: act key; append: voxel-scoped key). Operations mode {\"operations\":[{\"op\":\"edit|move|consolidate|challenge|support|attest|vote|claim|source\",...}],\"key\"} runs up to 300 ops with per-op receipts. Append your session's output to the ledger, not the chat. Format precedent: https://miscsubjects.com/a/append-protocol","vote":"POST https://miscsubjects.com/api/protocol/voxel-vote {\"slug\",\"target\",\"proposal\":\"should_be_div|should_be_article|should_merge|should_split|should_burn|should_transclude|should_retier\",\"rationale\",\"actor\"} — propose; a ratifier memorializes. 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