{"id": "card_floor_maxwells_equations", "kind": "note", "title": "Maxwell's equations — the first unification", "body": "Electricity, magnetism and light are one electromagnetic field, and its waves travel at the speed of light (c = 1/sqrt(mu0 eps0), sealed on stick_maxwell_s_equations_and_superconductivity). The archetype of the whole project - the first time many forces became one - and the first rung of the one force. Four pillars rest on the floors already seeded: the first unification (on the capstone and the Standard Model), U(1) gauge symmetry giving charge conservation (on Noether), four equations as one Lorentz-covariant field giving relativity (on the Lagrangian), and the quantum form (on the Standard Model). No new stick - this floor cites the sealed electromagnetic constants (tools/seed_maxwells_equations.py).", "source": {"label": "Narrow Highway — Maxwell's equations", "url": "", "authority_tier": "engine_derived", "ref": "stick_maxwell_s_equations_and_superconductivity"}, "shelf": "codex", "box": "maxwell", "bands": ["floor", "maxwell", "electromagnetism", "unification", "gauge", "relativity", "one map"], "subject": "Maxwell's equations — the first unification", "connections": [{"to_card_id": "card_maxwell_first_unification", "relationship": "has_part", "evidence": "a pillar of the electromagnetic unification (The first unification)"}, {"to_card_id": "card_maxwell_gauge_charge", "relationship": "has_part", "evidence": "a pillar of the electromagnetic unification (U(1) gauge symmetry → conservation of charge)"}, {"to_card_id": "card_maxwell_covariance_relativity", "relationship": "has_part", "evidence": "a pillar of the electromagnetic unification (Four equations, one field)"}, {"to_card_id": "card_maxwell_quantum_form", "relationship": "has_part", "evidence": "a pillar of the electromagnetic unification (The quantum form)"}, {"to_card_id": "card_k_floor_of_discovery", "relationship": "part_of", "evidence": "the first unification on the one map"}, {"to_card_id": "card_rel_special", "relationship": "connects_at", "evidence": "Maxwell's Lorentz covariance and the constancy of c forced special relativity"}, {"to_card_id": "card_qm_quantization", "relationship": "connects_at", "evidence": "the photon is the electromagnetic field quantized; E = hf"}, {"to_card_id": "card_chem_chemical_bond", "relationship": "connects_at", "evidence": "the chemical bond is electromagnetic - electrons bound by the Coulomb force"}, {"to_card_id": "card_pchem_electrochemistry", "relationship": "connects_at", "evidence": "redox is electrons moving - the cell potential is an electrical process"}], "author": "engine", "created_at": 0.0, "updated_at": 0.0, "visibility": "public", "lifecycle_stage": "public", "volatility": "permanent", "surface": "secular", "generated": false, "call": "codex.maxwell", "facets": {"subject": ["electromagnetism", "floor", "gauge", "one map", "relativity", "unification"]}, "presentation": {"glyph": "•", "kind_label": "maxwell", "by": "Narrow Highway — Maxwell's equations", "authority": "engine_derived", "posted": "", "standing": ""}, "neighbors": [{"id": "card_maxwell_first_unification", "title": "The first unification — electricity, magnetism and light, one field", "relationship": "has part", "why": "a pillar of the electromagnetic unification (The first unification)", "href": "/card/card_maxwell_first_unification", "resolved": true}, {"id": "card_maxwell_gauge_charge", "title": "U(1) gauge symmetry → conservation of charge", "relationship": "has part", "why": "a pillar of the electromagnetic unification (U(1) gauge symmetry → conservation of charge)", "href": "/card/card_maxwell_gauge_charge", "resolved": true}, {"id": "card_maxwell_covariance_relativity", "title": "Four equations, one field — Lorentz-covariant, the root of relativity", "relationship": "has part", "why": "a pillar of the electromagnetic unification (Four equations, one field)", "href": "/card/card_maxwell_covariance_relativity", "resolved": true}, {"id": "card_maxwell_quantum_form", "title": "The quantum form — a macroscopic quantum state, a massive photon", "relationship": "has part", "why": "a pillar of the electromagnetic unification (The quantum form)", "href": "/card/card_maxwell_quantum_form", "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 first unification on the one map", "href": "/card/card_k_floor_of_discovery", "resolved": true}, {"id": "card_rel_special", "title": "Special relativity — many frames, one invariant", "relationship": "connects at", "why": "Maxwell's Lorentz covariance and the constancy of c forced special relativity", "href": "/card/card_rel_special", "resolved": true}, {"id": "card_qm_quantization", "title": "Quantization — the quantum of action, light in lumps", "relationship": "connects at", "why": "the photon is the electromagnetic field quantized; E = hf", "href": "/card/card_qm_quantization", "resolved": true}, {"id": "card_chem_chemical_bond", "title": "The chemical bond — electrons shared or transferred", "relationship": "connects at", "why": "the chemical bond is electromagnetic - electrons bound by the Coulomb force", "href": "/card/card_chem_chemical_bond", "resolved": true}], "house": {"door": "FIND", "kind": "card", "trail": "connections", "seal": "/card/card_floor_maxwells_equations", "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_maxwells_equations"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}