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self-similarity. Fluctuations produce branching-like structures in correlation functions and wave-like propagation of order. Thermodynamic gradients drive the system toward critical points where these patterns emerge. Effective theories act as memory of integrated scales.","status":"active","vx_hash":"4053f2f313499e225f3a01ec20bbd793a027b420a2c0974abd70d0af3180c33c","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"8af9d18dbd836adb881932fd1237bfe58fbfb430db3776188982d565ca75af93","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:45.959Z","actor":"owner","text_sha":"97914942e672d8f9b264669b4fad73f78cb524b55e6d456d42d5c74d5fd5b5f7","detail":{"divided_from":"body","block":10,"kind":"p"},"prev":"genesis","hash":"8af9d18dbd836adb881932fd1237bfe58fbfb430db3776188982d565ca75af93"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:45.959Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-wilson-k-g-1979-problems-in-physics-with-many-scales-of-length-scientific-americ/d10"},{"id":"d11","kind":"h","type":null,"order":11,"text":"## Relation to OIP/GRAIN Synthesis","status":"active","vx_hash":"d749227c984d9555224624de33c591aa8f051ddaef2d30fa6e4a7f34cbc18477","semantic_hash":null,"version_hash":null,"version":1,"sources":[],"falsifiers":[],"tier":null,"backed":null,"transcludes":null,"chain_head":"c011268f7333501c33ca49394048530386c8c8a3850ba30c6a597a019216f383","chain_length":1,"chain":[{"n":1,"op":"genesis","ts":"2026-07-17T02:37:45.959Z","actor":"owner","text_sha":"6ef9cc3e82c5e5a4105c580d5296eb02271553479b99959384bb413d911e2593","detail":{"divided_from":"body","block":11,"kind":"h"},"prev":"genesis","hash":"c011268f7333501c33ca49394048530386c8c8a3850ba30c6a597a019216f383"}],"claim_ids":[],"last_op":{"op":"genesis","actor":"owner","ts":"2026-07-17T02:37:45.959Z"},"consolidated_into":null,"stable_url":"https://miscsubjects.com/i/div/paper-wilson-k-g-1979-problems-in-physics-with-many-scales-of-length-scientific-americ/d11"},{"id":"d12","kind":"p","type":null,"order":12,"text":"The renormalization group provides a mechanistic account of how energy flows and gradients generate narrow families of structural patterns across scales. RG flow maps difference at fine scales to structure at coarse scales. 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