{"query": "Conservation — atoms and mass balance", "count": 20, "results": [{"id": "card_chem_conservation", "title": "Conservation — atoms and mass balance", "shelf": "codex", "surface": "secular", "snippet": "Atoms are conserved in every reaction, so every equation balances (2 H2 + O2 -> 2 H2O, sealed) and mass is conserved (water's molar mass, 18.016 g/mol, sealed). Chemistry's first law, and Noether's co", "authority_tier": "engine_derived", "source": "Narrow Highway — chemistry", "readable": false, "generated": false}, {"id": "card_theory_chemical_engineering", "title": "Chemical engineering (unit operations, balances, and scale-up)", "shelf": "theories", "surface": "secular", "snippet": "Chemical engineering (unit operations, balances, and scale-up) — an engine domain that can touch it: manufacturing. Calibration: seals — mass and energy balances and residence times compute exactly. T", "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_bioenergetics_energy_balance", "title": "Bioenergetics / energy balance (calorimetry, 4-9-4)", "shelf": "theories", "surface": "secular", "snippet": "Bioenergetics / energy balance (calorimetry, 4-9-4) — an engine domain that can touch it: nutrition. Calibration: seals — energy budgets compute directly. Food energy is measured by combustion: carboh", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_conservation_of_energy", "title": "Conservation of energy (1st law of thermodynamics)", "shelf": "theories", "surface": "secular", "snippet": "Conservation of energy (1st law of thermodynamics) — an engine domain that can touch it: thermodynamics. Calibration: seals. Energy is neither created nor destroyed, only converted. ΔU = Q - W: the ch", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_conservation_of_linear_angular_momentum", "title": "Conservation of linear & angular momentum", "shelf": "theories", "surface": "secular", "snippet": "Conservation of linear & angular momentum — an engine domain that can touch it: physics. Calibration: seals. Total momentum before equals total momentum after, in any closed system. Linear: p = mv. An", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_noether_s_theorem__symmetry_and_conservation", "title": "Noether's theorem (symmetry and conservation)", "shelf": "theories", "surface": "secular", "snippet": "Noether's theorem (symmetry and conservation) — an engine domain that can touch it: physics. Calibration: map-only — out of scope for sealing — foundational, empirical or interpretive (RESONANCE); for", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fundamental_theorem_of_calculus", "title": "Fundamental theorem of calculus", "shelf": "theories", "surface": "secular", "snippet": "Fundamental theorem of calculus — an engine domain that can touch it: mathematics. Calibration: seals. Differentiation and integration are inverse operations. Part one: the derivative of the accumulat", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_fluid_mechanics", "title": "Fluid mechanics (Bernoulli, Reynolds, Navier–Stokes)", "shelf": "theories", "surface": "secular", "snippet": "Fluid mechanics (Bernoulli, Reynolds, Navier–Stokes) — an engine domain that can touch it: hydrology. Calibration: seals — continuity, Bernoulli and Reynolds number compute directly. CONTINUITY first:", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_group_theory", "title": "Group theory & symmetry (the mathematics of what stays the same)", "shelf": "theories", "surface": "secular", "snippet": "Group theory & symmetry (the mathematics of what stays the same) — an engine domain that can touch it: mathematics. Calibration: seals — group orders, subgroup structure and symmetry counts compute. A", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_electromagnetic_induction", "title": "Electromagnetic induction (Faraday's law — how all electricity is made)", "shelf": "theories", "surface": "secular", "snippet": "Electromagnetic induction (Faraday's law — how all electricity is made) — an engine domain that can touch it: electrical. Calibration: seals — EMF, turns ratio and flux relations compute. A CHANGING m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_n_4d5234cab477", "title": "Chemistry — the bookkeeping of atoms", "shelf": "science", "surface": "secular", "snippet": "Chemistry is accounting at the scale of atoms: nothing is created or\ndestroyed, only rearranged, and every claim balances or it is wrong. The engine keeps the\nbooks in-domain (https://narrowhighway.co", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_n_ae08bd563c6e", "title": "Balancing equations — nothing is created or destroyed", "shelf": "science", "surface": "secular", "snippet": "Lavoisier's law: matter is conserved, so a chemical equation must have equal atoms on\nboth sides. The engine balances in-domain — given CH4 + O2 -> CO2 + H2O it returns the true\ncoefficients CH4 + 2 O", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_bridge_theory_double_entry_accounting_identity__law_of_conservation_of_mass", "title": "Bridge: Double-entry accounting identity (A = L + E)  ↔  Law of conservation of mass (Lavoisier)", "shelf": "bridges", "surface": "secular", "snippet": "Double-entry accounting identity (A = L + E) and Law of conservation of mass (Lavoisier) are the same form in different domains. both are closed-system conservation checked by balancing two columns: n", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_floor_noethers_theorem", "title": "Noether's theorem — symmetry is the source of conservation", "shelf": "codex", "surface": "secular", "snippet": "For every continuous symmetry of the action there is a conserved quantity (Emmy Noether, 1918). The seam between the Lagrangian and the Hamiltonian: the Lagrangian's time-symmetry PRODUCES the Hamilto", "authority_tier": "engine_derived", "source": "Narrow Highway — Noether's theorem", "readable": false, "generated": false}, {"id": "card_floor_chemistry", "title": "Chemistry — quantum mechanics applied, the periodic table", "shelf": "codex", "surface": "secular", "snippet": "The world of substances, standing on the physics region. Chemistry is the Schrodinger equation for electrons around nuclei, plus Pauli exclusion, plus electromagnetism; the periodic table falls out of", "authority_tier": "engine_derived", "source": "Narrow Highway — chemistry", "readable": false, "generated": false}, {"id": "card_bridge_theory_trophic_dynamics__conservation_of_energy", "title": "Bridge: Trophic dynamics & ecological efficiency (Lindeman)  ↔  Conservation of energy (1st law of thermodynamics)", "shelf": "bridges", "surface": "secular", "snippet": "Trophic dynamics & ecological efficiency (Lindeman) and Conservation of energy (1st law of thermodynamics) are the same form in different domains. a food web is an energy-conservation ledger with loss", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_n_9c78781d718f", "title": "A parable — Carnot", "shelf": "codex", "surface": "witness", "snippet": "An engineer believed he could build a machine that took less and gave more. He built and rebuilt for many years. The machine he made was very good, but it could never give back more than was given. He", "authority_tier": "operator", "source": "Narrow Highway — original parable", "readable": false, "generated": false}, {"id": "card_bridge_dual_conservation__linear_flux", "title": "Duality: conservation  ↔  linear_flux  (continuity equation)", "shelf": "bridges", "surface": "secular", "snippet": "A deep bridge between two forms — continuity equation. a conservation law in differential form is the continuity equation: the divergence of a flux equals the rate of change of what is stored", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "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. The symm", "authority_tier": "engine_derived", "source": "Narrow Highway — Maxwell's equations", "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_chem_conservation"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}