{"query": "Four equations, one field — Lorentz-covariant, the root of r", "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_maxwell_covariance_relativity", "title": "Four equations, one field — Lorentz-covariant, the root of relativity", "shelf": "codex", "surface": "secular", "snippet": "The four equations (Gauss, no monopoles, Faraday, Ampere-Maxwell) become a single relativistic equation, and their invariance - the constancy of c in every frame - is exactly what forced special relat", "authority_tier": "engine_derived", "source": "Narrow Highway — Maxwell's equations", "readable": false, "generated": false}, {"id": "card_src_word_covariant", "title": "covariant", "shelf": "dictionary", "surface": "secular", "snippet": "covariant: (adjective) changing so that interrelations with another variable quantity or set of quantities remain unchanged", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "readable": false, "generated": false}, {"id": "card_lag_field_theory", "title": "One scalar for all of physics — the Standard Model is a Lagrangian", "shelf": "codex", "surface": "secular", "snippet": "The Lagrangian is a single scalar, and the whole Standard Model is defined by its Lagrangian. Unlike the Hamiltonian, which singles out time, the Lagrangian treats space and time together (Lorentz-cov", "authority_tier": "engine_derived", "source": "Narrow Highway — the Lagrangian", "readable": false, "generated": false}, {"id": "card_theory_maxwell_s_equations_classical_electromagnetism", "title": "Maxwell's equations / classical electromagnetism", "shelf": "theories", "surface": "secular", "snippet": "Maxwell's equations / classical electromagnetism — an engine domain that can touch it: electrical. Calibration: partial — circuit and field relations verify; the full field theory is map-only. Four eq", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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. Calibration: seals — solutions verify by substitution; specific integrations c", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fundamental_theorem_of_algebra", "title": "Fundamental theorem of algebra", "shelf": "theories", "surface": "secular", "snippet": "Fundamental theorem of algebra — an engine domain that can touch it: mathematics. Calibration: partial — root counts verify; the existence proof is map-only. Every non-constant polynomial with complex", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_electromagnetic_spectrum", "title": "The electromagnetic spectrum & modulation (radio to gamma, one axis)", "shelf": "theories", "surface": "secular", "snippet": "The electromagnetic spectrum & modulation (radio to gamma, one axis) — an engine domain that can touch it: physics. Calibration: seals — c = fλ, photon energy E = hf, and bandwidth relations all recom", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_network_science", "title": "Network science (small-world, scale-free, robustness)", "shelf": "theories", "surface": "secular", "snippet": "Network science (small-world, scale-free, robustness) — an engine domain that can touch it: networking. Calibration: seals — path lengths, clustering and degree distributions compute. Real networks ar", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_special_relativity", "title": "Special relativity", "shelf": "theories", "surface": "secular", "snippet": "Special relativity — an engine domain that can touch it: physics. Calibration: partial — Lorentz and E = mc² relations verify; the postulates are map-only. Two postulates (Einstein, 1905): the laws of", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_hydrologic_cycle_open_channel_flow", "title": "Hydrologic cycle & open-channel flow (Manning, Darcy)", "shelf": "theories", "surface": "secular", "snippet": "Hydrologic cycle & open-channel flow (Manning, Darcy) — an engine domain that can touch it: hydrology. Calibration: seals — Manning velocity, Darcy flow and catchment volumes compute. Water circulates", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_plasma_physics", "title": "Plasma physics (the fourth state, and most of the universe)", "shelf": "theories", "surface": "secular", "snippet": "Plasma physics (the fourth state, and most of the universe) — an engine domain that can touch it: physics. Calibration: map-only — specific relations compute; the regime as a whole is not a sealable c", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_algebraic_geometry", "title": "Algebraic geometry (solution sets as shapes)", "shelf": "theories", "surface": "secular", "snippet": "Algebraic geometry (solution sets as shapes) — an engine domain that can touch it: mathematics. Calibration: map-only — specific curve computations verify; the theory is abstract. The study of the sha", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_quantum_mechanics", "title": "Quantum mechanics (Schrödinger equation)", "shelf": "theories", "surface": "secular", "snippet": "Quantum mechanics (Schrödinger equation) — an engine domain that can touch it: physics. Calibration: partial — energy levels and specific relations verify; interpretation is map-only. A system is desc", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_quantum_gravity_problem", "title": "Spacetime & the quantum-gravity problem (where physics ends)", "shelf": "theories", "surface": "secular", "snippet": "Spacetime & the quantum-gravity problem (where physics ends) — an engine domain that can touch it: physics. Calibration: map-only — the Planck quantities compute, but there is no accepted theory here ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_law_of_conservation_of_mass", "title": "Law of conservation of mass (Lavoisier)", "shelf": "theories", "surface": "secular", "snippet": "Law of conservation of mass (Lavoisier) — an engine domain that can touch it: chemistry. Calibration: seals — balanced equations verify exactly. Mass is neither created nor destroyed in a chemical rea", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_stochastic_processes", "title": "Stochastic processes & Ito calculus", "shelf": "theories", "surface": "secular", "snippet": "Stochastic processes & Ito calculus — an engine domain that can touch it: mathematics. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal them.", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_pauli_exclusion_principle", "title": "Pauli exclusion principle", "shelf": "theories", "surface": "secular", "snippet": "Pauli exclusion principle — an engine domain that can touch it: atomic. Calibration: seals — electron configurations and shell capacities compute. No two identical fermions may occupy the same quantum", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_epidemiology_models", "title": "Compartmental epidemiology (SIR models and R₀)", "shelf": "theories", "surface": "secular", "snippet": "Compartmental epidemiology (SIR models and R₀) — an engine domain that can touch it: medicine. Calibration: seals — R0, herd-immunity thresholds and epidemic curves compute. Divide a population into S", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_shannon_information_theory", "title": "Shannon information theory (entropy, channel capacity)", "shelf": "theories", "surface": "secular", "snippet": "Shannon information theory (entropy, channel capacity) — an engine domain that can touch it: information_theory. Calibration: seals. H = -Σ p log p. Information is measured by how much UNCERTAINTY a m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}], "house": {"door": "FIND", "kind": "cards", "trail": "results", "seal": null, "next_step": {"do": "open the top card", "door": "FIND", "tool": "card_get", "params": {"id": "card_floor_maxwells_equations"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}