{"id": "card_floor_relativity", "kind": "note", "title": "Relativity — many frames, one invariant", "body": "Special relativity: the laws and the speed of light are the same in every inertial frame; observers disagree on time and length but agree on the invariant interval - many frames, one invariant truth. General relativity: gravity is the curvature of spacetime (its tests sealed on the gravity stick). Four pillars rest on the floors already seeded: special relativity (on Maxwell and the capstone), mass-energy (on the Hamiltonian), general relativity (on the Lagrangian, the Einstein-Hilbert action), and Poincare symmetry (on Noether). Relativity ties the whole physics region. The stick (stick_relativity_many_frames_one_invariant) seals the Lorentz factor and E = m c^2 (tools/seed_relativity.py).", "source": {"label": "Narrow Highway — relativity", "url": "", "authority_tier": "engine_derived", "ref": "stick_relativity_many_frames_one_invariant"}, "shelf": "codex", "box": "relativity", "bands": ["floor", "relativity", "spacetime", "invariant", "lorentz", "quantum", "one map"], "subject": "Relativity — many frames, one invariant", "connections": [{"to_card_id": "card_rel_special", "relationship": "has_part", "evidence": "a pillar of relativity (Special relativity)"}, {"to_card_id": "card_rel_mass_energy", "relationship": "has_part", "evidence": "a pillar of relativity (Mass-energy)"}, {"to_card_id": "card_rel_general", "relationship": "has_part", "evidence": "a pillar of relativity (General relativity)"}, {"to_card_id": "card_rel_poincare", "relationship": "has_part", "evidence": "a pillar of relativity (Poincaré symmetry)"}, {"to_card_id": "card_k_floor_of_discovery", "relationship": "part_of", "evidence": "the invariant under many frames on the one map"}, {"to_card_id": "card_qm_entanglement", "relationship": "connects_at", "evidence": "entanglement correlates without signalling: no faster-than-light message, so relativity holds"}, {"to_card_id": "card_chart_tesseract", "relationship": "connects_at", "evidence": "the 4th dimension made rigorous - distinct from spacetime's time axis, the same lesson of dimensions beyond three"}], "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": ["floor", "invariant", "lorentz", "one map", "quantum", "spacetime"]}, "presentation": {"glyph": "•", "kind_label": "relativity", "by": "Narrow Highway — relativity", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_rel_special", "title": "Special relativity — many frames, one invariant", "relationship": "has part", "why": "a pillar of relativity (Special relativity)", "href": "/card/card_rel_special", "resolved": true}, {"id": "card_rel_mass_energy", "title": "Mass-energy — E = m c^2", "relationship": "has part", "why": "a pillar of relativity (Mass-energy)", "href": "/card/card_rel_mass_energy", "resolved": true}, {"id": "card_rel_general", "title": "General relativity — gravity is the curvature of spacetime", "relationship": "has part", "why": "a pillar of relativity (General relativity)", "href": "/card/card_rel_general", "resolved": true}, {"id": "card_rel_poincare", "title": "Poincaré symmetry — the group that feeds Noether", "relationship": "has part", "why": "a pillar of relativity (Poincaré symmetry)", "href": "/card/card_rel_poincare", "resolved": true}, {"id": "card_k_floor_of_discovery", "title": "The Floor of Discovery — one floor, and by its design the fear of God", "relationship": "part of", "why": "the invariant under many frames on the one map", "href": "/card/card_k_floor_of_discovery", "resolved": true}, {"id": "card_qm_entanglement", "title": "Entanglement — the world is not locally real", "relationship": "connects at", "why": "entanglement correlates without signalling: no faster-than-light message, so relativity holds", "href": "/card/card_qm_entanglement", "resolved": true}, {"id": "card_chart_tesseract", "title": "The tesseract — the 4-cube and its shadow", "relationship": "connects at", "why": "the 4th dimension made rigorous - distinct from spacetime's time axis, the same lesson of dimensions beyond three", "href": "/card/card_chart_tesseract", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_floor_relativity", "next_step": {"do": "follow a connection: what this card rests on, and what rests on it", "door": "FIND", "tool": "card_connections", "params": {"id": "card_floor_relativity"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}