{"query": "Materials science", "count": 20, "results": [{"id": "card_instr_materials_science", "title": "Materials science", "shelf": "codex", "surface": "secular", "snippet": "The Materials science verifier (src/concordance/verifiers/materials_science.py). Builds on: The thermal scale (k_B). Found from the code's own imports, never invented; the module keeps the logic, this", "authority_tier": "engine_derived", "source": "verifier: materials_science", "readable": false, "generated": false}, {"id": "card_theory_condensed_matter", "title": "Condensed matter & semiconductors (band theory and the transistor)", "shelf": "theories", "surface": "secular", "snippet": "Condensed matter & semiconductors (band theory and the transistor) — an engine domain that can touch it: materials_science. Calibration: map-only — band gaps and carrier concentrations compute; the fi", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_quasicrystals", "title": "Quasicrystals (forbidden symmetry in real matter)", "shelf": "theories", "surface": "secular", "snippet": "Matter that is ordered but not periodic. Dan Shechtman recorded an electron diffraction pattern from rapidly cooled Al-Mn on 8 April 1982 showing SHARP Bragg peaks with ten-fold symmetry — sharp peaks", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_dalton_s_atomic_theory", "title": "Dalton's atomic theory", "shelf": "theories", "surface": "secular", "snippet": "Dalton's atomic theory — an engine domain that can touch it: chemistry. Calibration: partial — mass ratios verify. Matter is made of indivisible atoms; all atoms of an element share a mass; compounds ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_chemical_kinetics_equilibrium", "title": "Chemical kinetics & equilibrium (Arrhenius, Le Chatelier)", "shelf": "theories", "surface": "secular", "snippet": "Chemical kinetics & equilibrium (Arrhenius, Le Chatelier) — an engine domain that can touch it: chemistry. Calibration: partial — rate constants and equilibrium shifts compute. KINETICS asks how fast,", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_chemical_bonding", "title": "Chemical bonding (valence-bond / molecular-orbital)", "shelf": "theories", "surface": "secular", "snippet": "Chemical bonding (valence-bond / molecular-orbital) — an engine domain that can touch it: chemistry. Calibration: partial — some relations verify; the full theory is map-only. Atoms bond to lower thei", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_vsepr_theory", "title": "VSEPR theory (molecular geometry)", "shelf": "theories", "surface": "secular", "snippet": "VSEPR theory (molecular geometry) — an engine domain that can touch it: molecular_geometry. Calibration: seals — shapes and bond angles predict directly. Valence Shell Electron Pair Repulsion: electro", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_stoichiometry_the_mole_concept", "title": "Stoichiometry & the mole concept", "shelf": "theories", "surface": "secular", "snippet": "Stoichiometry & the mole concept — an engine domain that can touch it: chemistry. Calibration: seals — molar masses, yields and limiting reagents compute exactly. A mole is 6.022×10²³ particles, chose", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_phase_theory", "title": "Phase theory (phase diagrams, Clausius–Clapeyron)", "shelf": "theories", "surface": "secular", "snippet": "Phase theory (phase diagrams, Clausius–Clapeyron) — an engine domain that can touch it: thermodynamics. Calibration: seals — phase boundaries and pressure-temperature relations compute. A phase diagra", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_electrochemistry", "title": "Electrochemistry & the battery (Volta, Faraday, and stored charge)", "shelf": "theories", "surface": "secular", "snippet": "Electrochemistry & the battery (Volta, Faraday, and stored charge) — an engine domain that can touch it: chemistry. Calibration: seals — cell voltages, Faraday's laws of electrolysis and Nernst shifts", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_percolation", "title": "Percolation & critical thresholds", "shelf": "theories", "surface": "secular", "snippet": "Percolation & critical thresholds — an engine domain that can touch it: physics. Calibration: seals — thresholds and cluster statistics compute. Fill a lattice at random with probability p. Below a cr", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_hess_s_law_thermochemistry", "title": "Hess's law / thermochemistry", "shelf": "theories", "surface": "secular", "snippet": "Hess's law / thermochemistry — an engine domain that can touch it: chemistry. Calibration: seals — enthalpy sums compute exactly. The total enthalpy change of a reaction is the same whatever route it ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_br_nsted_lowry_acid_base_theory_ph", "title": "Brønsted–Lowry acid–base theory & pH", "shelf": "theories", "surface": "secular", "snippet": "Brønsted–Lowry acid–base theory & pH — an engine domain that can touch it: chemistry. Calibration: seals — pH, pKa and buffer calculations compute exactly. An acid DONATES a proton, a base ACCEPTS one", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fracture_mechanics", "title": "Fracture mechanics (Griffith, and why things really break)", "shelf": "theories", "surface": "secular", "snippet": "Fracture mechanics (Griffith, and why things really break) — an engine domain that can touch it: materials_science. Calibration: seals — stress intensity, critical crack length and fatigue life comput", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_elasticity", "title": "Elasticity (Hooke's law, stress–strain)", "shelf": "theories", "surface": "secular", "snippet": "Elasticity (Hooke's law, stress–strain) — an engine domain that can touch it: materials_science. Calibration: seals — stress, strain, deflection and safety factors compute. Within a limit, deformation", "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_aufbau_configuration", "title": "Aufbau principle & electron configuration", "shelf": "theories", "surface": "secular", "snippet": "Aufbau principle & electron configuration — an engine domain that can touch it: periodic_table. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and s", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_molecular_symmetry_point_groups", "title": "Molecular symmetry & point groups", "shelf": "theories", "surface": "secular", "snippet": "Molecular symmetry & point groups — an engine domain that can touch it: molecular_geometry. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_ohm_s_law_circuit_theory", "title": "Ohm's law & circuit theory (Kirchhoff)", "shelf": "theories", "surface": "secular", "snippet": "Ohm's law & circuit theory (Kirchhoff) — an engine domain that can touch it: electrical. Calibration: seals — voltages, currents and power all compute directly. V = IR, plus Kirchhoff's two rules: cur", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_theory_percolation__epidemiology_models", "title": "Bridge: Percolation & critical thresholds  ↔  Compartmental epidemiology (SIR models and R₀)", "shelf": "bridges", "surface": "secular", "snippet": "Percolation & critical thresholds and Compartmental epidemiology (SIR models and R₀) are the same form in different domains. herd immunity IS a percolation threshold: vaccination removes nodes until n", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "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_instr_materials_science"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}