{"id": "card_joint_renormalization_group", "kind": "note", "title": "The renormalization group, and the continuum limit as the question", "body": "Wilson's lattice (1974) and Forster, Nelson and Stephen's randomly stirred fluid (1977) run the same renormalization group: a coupling that changes with scale, a finite system whose continuum limit is the whole question. Asymptotic freedom on one side, the Kolmogorov cascade on the other; the Yang-Mills stick sealed the running coupling and the Navier-Stokes stick sealed the Kolmogorov scale.", "source": {"label": "Narrow Highway - the Millennium floor, a joint found in the literature (operator seed)", "url": "", "domain": "mathematics", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "joint", "bands": ["joint", "two trees", "millennium", "floor", "renormalization group", "scaling", "continuum limit"], "subject": "The renormalization group, and the continuum limit as the question", "connections": [{"to_card_id": "card_floor_millennium", "relationship": "part_of", "evidence": "a joint that is proven or observed - a part of the floor"}, {"to_card_id": "card_question_yang_mills", "relationship": "connects_at", "evidence": "The renormalization group, and the continuum limit as the question. wilson 1974; forster nelson stephen 1977. Sealed: the running coupling (Yang-Mills stick) and the Kolmogorov scale (Navier-Stokes stick)"}, {"to_card_id": "card_question_navier_stokes", "relationship": "connects_at", "evidence": "The renormalization group, and the continuum limit as the question. wilson 1974; forster nelson stephen 1977. Sealed: the running coupling (Yang-Mills stick) and the Kolmogorov scale (Navier-Stokes stick)"}, {"to_card_id": "card_src_mill_wilson_1974", "relationship": "cites", "evidence": "the record the joint stands on"}, {"to_card_id": "card_src_mill_forster_nelson_stephen_1977", "relationship": "cites", "evidence": "the record the joint stands on"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.joint", "facets": {"subject": ["continuum limit", "floor", "millennium", "renormalization group", "scaling", "two trees"]}, "presentation": {"glyph": "•", "kind_label": "joint", "by": "Narrow Highway - the Millennium floor, a joint found in the literature (operator seed)", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_millennium", "title": "The Millennium floor - seven open questions, and where they connect", "relationship": "part of", "why": "a joint that is proven or observed - a part of the floor", "href": "/card/card_floor_millennium", "resolved": true}, {"id": "card_question_yang_mills", "title": "Yang-Mills existence and the mass gap", "relationship": "connects at", "why": "The renormalization group, and the continuum limit as the question. wilson 1974; forster nelson stephen 1977. Sealed: the running coupling (Yang-Mills stick) and the Kolmogorov scale (Navier-Stokes st", "href": "/card/card_question_yang_mills", "resolved": true}, {"id": "card_question_navier_stokes", "title": "Navier-Stokes existence and smoothness", "relationship": "connects at", "why": "The renormalization group, and the continuum limit as the question. wilson 1974; forster nelson stephen 1977. Sealed: the running coupling (Yang-Mills stick) and the Kolmogorov scale (Navier-Stokes st", "href": "/card/card_question_navier_stokes", "resolved": true}, {"id": "card_src_mill_wilson_1974", "title": "K. G. Wilson 1974 — Confinement of quarks", "relationship": "cites", "why": "the record the joint stands on", "href": "/card/card_src_mill_wilson_1974", "resolved": true}, {"id": "card_src_mill_forster_nelson_stephen_1977", "title": "D. Forster 1977 — Large-distance and long-time properties of a randomly stirred fluid", "relationship": "cites", "why": "the record the joint stands on", "href": "/card/card_src_mill_forster_nelson_stephen_1977", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_joint_renormalization_group", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_joint_renormalization_group"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}