{"query": "Maxwell's equations — the first unification", "count": 20, "results": [{"id": "card_floor_maxwells_equations", "title": "Maxwell's equations — the first unification", "shelf": "codex", "surface": "secular", "snippet": "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 archet", "authority_tier": "engine_derived", "source": "Narrow Highway — Maxwell's equations", "readable": false, "generated": false}, {"id": "card_theory_differential_equations", "title": "Differential equations (the language every physical law is written in)", "shelf": "theories", "surface": "secular", "snippet": "Differential equations (the language every physical law is written in) — an engine domain that can touch it: mathematics. 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THIS CLOSES THE INFORMATION-THERMODYNAMICS BRID", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_theory_maxwell_s_equations_classical_electromagnetism__newton_s_law_of_universal_gravit", "title": "Bridge: Maxwell's equations / classical electromagnetism  ↔  Newton's law of universal gravitation", "shelf": "bridges", "surface": "secular", "snippet": "Maxwell's equations / classical electromagnetism and Newton's law of universal gravitation are the same form in different domains. Coulomb's law and universal gravitation are the SAME inverse-square f", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_builder_james_clerk_maxwell", "title": "James Clerk Maxwell", "shelf": "builders", "surface": "secular", "snippet": "James Clerk Maxwell (1831–1879 AD) — science. 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Same form, different domain: t", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_floor_standard_model", "title": "The floor of the Standard Model - where two trees meet", "shelf": "codex", "surface": "secular", "snippet": "The Standard Model of particle physics stands on two roots: Maxwell's electromagnetism (the electromagnetic tree) and Fermi's 1933 theory of the weak interaction (the weak tree), both on quantum mecha", "authority_tier": "engine_derived", "source": "Narrow Highway - the Standard-Model chain (operator seed)", "readable": false, "generated": false}, {"id": "card_maxwell_first_unification", "title": "The first unification — electricity, magnetism and light, one field", "shelf": "codex", "surface": "secular", "snippet": "Maxwell showed that electricity and magnetism are one electromagnetic field, and that its waves travel at c = 1/sqrt(mu0 eps0) - the speed of light, so light IS electromagnetism (sealed on stick_maxwe", "authority_tier": "engine_derived", "source": "Narrow Highway — Maxwell's equations", "readable": false, "generated": false}, {"id": "card_maxwell_gauge_charge", "title": "U(1) gauge symmetry → conservation of charge", "shelf": "codex", "surface": "secular", "snippet": "Electromagnetism is the U(1) gauge theory, and by Noether its symmetry gives conservation of electric charge - the continuity equation d(rho)/dt + div J = 0 is built into Maxwell's equations. 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