{"id": "card_rel_poincare", "kind": "reference", "title": "Poincaré symmetry — the group that feeds Noether", "body": "The symmetry group of relativity - boosts, rotations and translations - is a continuous symmetry, so by Noether it gives the conserved energy, momentum, angular momentum and the stress-energy tensor. The symmetry of spacetime is the source of the conservation laws.", "source": {"label": "Narrow Highway — relativity", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "relativity", "bands": ["relativity", "pillar", "poincare", "one map"], "subject": "Poincaré symmetry — the group that feeds Noether", "connections": [{"to_card_id": "card_floor_relativity", "relationship": "part_of", "evidence": "a pillar of relativity (Poincaré symmetry)"}, {"to_card_id": "card_floor_noethers_theorem", "relationship": "connects_at", "evidence": "the Poincare symmetry group -> conserved energy, momentum, angular momentum, via Noether"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.relativity", "facets": {"subject": ["one map", "pillar", "poincare"]}, "presentation": {"glyph": "•", "kind_label": "relativity", "by": "Narrow Highway — relativity", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_floor_relativity", "title": "Relativity — many frames, one invariant", "relationship": "part of", "why": "a pillar of relativity (Poincaré symmetry)", "href": "/card/card_floor_relativity", "resolved": true}, {"id": "card_floor_noethers_theorem", "title": "Noether's theorem — symmetry is the source of conservation", "relationship": "connects at", "why": "the Poincare symmetry group -> conserved energy, momentum, angular momentum, via Noether", "href": "/card/card_floor_noethers_theorem", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_rel_poincare", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_rel_poincare"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}