{"id": "card_rel_special", "kind": "reference", "title": "Special relativity — many frames, one invariant", "body": "The laws and the speed of light are the same in every inertial frame; observers disagree on time and length but agree on c and on the invariant interval s^2 = (ct)^2 - x^2. A clock at 0.6c runs slow by gamma = 1.25 (sealed). Many frames, one invariant truth - the Lorentz transformation is a rotation in spacetime that preserves the interval.", "source": {"label": "Narrow Highway — relativity", "url": "", "authority_tier": "engine_derived"}, "shelf": "codex", "box": "relativity", "bands": ["relativity", "pillar", "special", "one map"], "subject": "Special relativity — many frames, one invariant", "connections": [{"to_card_id": "card_floor_relativity", "relationship": "part_of", "evidence": "a pillar of relativity (Special relativity)"}, {"to_card_id": "card_floor_maxwells_equations", "relationship": "connects_at", "evidence": "Maxwell's Lorentz covariance and the constancy of c forced special relativity"}, {"to_card_id": "card_floor_the_capstone", "relationship": "connects_at", "evidence": "many frames, one invariant truth - the same shape as many potentials, one end"}], "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", "special"]}, "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 (Special relativity)", "href": "/card/card_floor_relativity", "resolved": true}, {"id": "card_floor_maxwells_equations", "title": "Maxwell's equations — the first unification", "relationship": "connects at", "why": "Maxwell's Lorentz covariance and the constancy of c forced special relativity", "href": "/card/card_floor_maxwells_equations", "resolved": true}, {"id": "card_floor_the_capstone", "title": "The capstone — one source, many potentials, one end", "relationship": "connects at", "why": "many frames, one invariant truth - the same shape as many potentials, one end", "href": "/card/card_floor_the_capstone", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_rel_special", "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_special"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}