{"query": "The ideal gas law solves for temperature", "count": 20, "results": [{"id": "card_works_ideal_gas", "title": "The ideal gas law solves for temperature", "shelf": "the-works", "surface": "secular", "snippet": "PV = nRT. Given a pressure, a volume and an amount, the temperature is fixed — one mole in 22.4 litres at one atmosphere sits near the freezing point of water.  Worked & sealed by the engine — T = PV/", "authority_tier": "verified", "source": "The Works — worked & sealed", "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_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_computational_complexity__p__np__reductions", "title": "Computational complexity (P, NP, reductions)", "shelf": "theories", "surface": "secular", "snippet": "Computational complexity (P, NP, reductions) — an engine domain that can touch it: computer_science. Calibration: map-only — P vs NP is open, and this card says so. Not whether a problem can be solved", "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_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_fourier_analysis___signal_processing", "title": "Fourier analysis & signal processing", "shelf": "theories", "surface": "secular", "snippet": "Fourier analysis & signal processing — an engine domain that can touch it: mathematics. Calibration: seals. Any well-behaved signal is a sum of sinusoids, and the transform moves freely between the ti", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_floor_the_hamiltonian", "title": "The Hamiltonian — the law of the flow", "shelf": "codex", "surface": "secular", "snippet": "The energy operator and the generator of time evolution: it governs how the many potentials develop between the one source and the one end. Four pillars rest on the floors already seeded - the generat", "authority_tier": "engine_derived", "source": "Narrow Highway — the Hamiltonian", "readable": false, "generated": false}, {"id": "card_k_floor_of_discovery", "title": "The Floor of Discovery — one floor, and by its design the fear of God", "shelf": "codex", "surface": "witness", "snippet": "Seeds of knowledge — identified, categorized, and mapped — form a floor of reality. The Bible and physical reality are unified as the floor of all discovery: Special Revelation and General Revelation ", "authority_tier": "matt", "source": "Operator's seed (Matt) — The Floor of Discovery: Biblical Foundations of Concordance", "readable": false, "generated": false}, {"id": "card_survival_rule_of_threes", "title": "The rule of threes — what to solve first", "shelf": "survival", "surface": "secular", "snippet": "A rule of thumb for what kills first, so you spend effort in the right order: roughly 3 minutes without air, 3 hours without shelter in harsh cold or heat, 3 days without water, 3 weeks without food. ", "authority_tier": "reference", "source": "U.S. Army Survival Manual FM 21-76 (public domain)", "readable": false, "generated": false}, {"id": "card_src_mill_hamilton_1982", "title": "R. S. Hamilton 1982 — Three-manifolds with positive Ricci curvature", "shelf": "millennium", "surface": "secular", "snippet": "R. S. Hamilton (1982). Three-manifolds with positive Ricci curvature. J. Differential Geom. 17 (1982) 255–306. DOI 10.4310/jdg/1214436922. Canonical: https://doi.org/10.4310/jdg/1214436922. Free copy:", "authority_tier": "reference", "source": "R. S. Hamilton (1982), J. Differential Geom. 17 (1982) 255–306", "readable": false, "generated": false}, {"id": "card_floor_game_theory", "title": "Game theory — equilibrium, dilemmas, and strategy", "shelf": "codex", "surface": "secular", "snippet": "The mathematics of strategic choice. A Nash equilibrium is a fixed point where no one gains by deviating alone; the prisoner's dilemma shows rational players reaching a worse outcome than cooperation;", "authority_tier": "engine_derived", "source": "Narrow Highway — game theory", "readable": false, "generated": false}, {"id": "card_n_65a5bd511d27", "title": "He Leads, You Move", "shelf": "codex", "surface": "witness", "snippet": "He calleth his own sheep by name, and leadeth them out.\n\nThere is a small, easily missed word in this verse: leadeth. Not pushes, not shouts from behind, not sends a map. Leads. The shepherd moves fir", "authority_tier": "operator", "source": "Narrow Highway devotional — 2026-06-14", "readable": false, "generated": false}, {"id": "card_calc_euler_integration", "title": "Euler's method (ODE stepping)", "shelf": "calculations", "surface": "secular", "snippet": "Euler's method (ODE stepping) — computer_science. Formula: y_{n+1} = y_n + h f(y_n). Canonical FORM: recursion (x_{n+1} = f(x_n)) — solve a differential equation by stepping the rate forward. Same for", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_case_decentralize__nature__the_colony_without_a_center", "title": "The colony without a center (always)", "shelf": "strategy", "surface": "secular", "snippet": "The colony without a center, always — ants and slime molds solve without a controller. Evidence: distributed local rules produce coherent global behavior. An instance of 'Push decisions to the edge' i", "authority_tier": "reference", "source": "The Strategy Concordance — patterns of what endures", "readable": false, "generated": false}, {"id": "card_n_8b8bf6ae4ebb", "title": "What the Quiet Reveals", "shelf": "codex", "surface": "witness", "snippet": "\"Be still, and know that I am God.\"\n\nThere is a difference between silence and stillness. Silence is simply the absence of noise. Stillness, as the psalm commands it, is the active settling of a restl", "authority_tier": "operator", "source": "Narrow Highway devotional — 2026-06-01", "readable": false, "generated": false}, {"id": "card_src_openstax_university_physics_volume_2_2_2_pressure_temperature_and_rms_speed_3ecde2c2", "title": "2.2 Pressure, Temperature, and RMS Speed — University Physics Volume 2", "shelf": "physics", "surface": "secular", "snippet": "2.2\n\nPressure, Temperature, and RMS Speed\n\nLearning Objectives\nBy the end of this section, you will be able to:\n\nExplain the relations between microscopic and macroscopic quantities in a gas\n\nSolve pr", "authority_tier": "reference", "source": "OpenStax: University Physics Volume 2 (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_floor_the_capstone", "title": "The capstone — one source, many potentials, one end", "shelf": "codex", "surface": "secular", "snippet": "The floor the others stand on, and the reply to Copenhagen. We came from one source; we are states of that one; we have many potentials, but the story ends the same way. The narrow way threads between", "authority_tier": "engine_derived", "source": "Narrow Highway — the capstone", "readable": false, "generated": false}, {"id": "card_floor_the_lagrangian", "title": "The Lagrangian — the Hamiltonian's dual, the path chosen", "shelf": "codex", "surface": "secular", "snippet": "L = T - V, and the action S = integral L dt. Its law is the principle of least action: of all paths, nature takes the one where the action is stationary. Four pillars rest on the floors already seeded", "authority_tier": "engine_derived", "source": "Narrow Highway — the Lagrangian", "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_works_ideal_gas"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}