{"query": "The fine-structure scale (α)", "count": 20, "results": [{"id": "card_instr_alpha_scale", "title": "The fine-structure scale (α)", "shelf": "codex", "surface": "secular", "snippet": "The The fine-structure scale (α) verifier (src/concordance/verifiers/alpha_scale.py). Builds on: The physical constants — one source, The scale base — the shared mechanism. Found from the code's own i", "authority_tier": "engine_derived", "source": "verifier: alpha_scale", "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_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_fractals", "title": "Fractals & self-similarity (Mandelbrot)", "shelf": "theories", "surface": "secular", "snippet": "Fractals & self-similarity (Mandelbrot) — an engine domain that can touch it: mathematics. Calibration: seals — fractal dimensions and iteration counts compute. A shape whose parts resemble the whole ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_newton_s_three_laws_of_motion", "title": "Newton's three laws of motion", "shelf": "theories", "surface": "secular", "snippet": "Newton's three laws of motion — an engine domain that can touch it: physics. Calibration: seals. (1) A body keeps its velocity unless a force acts — which contradicts everyday experience only because ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_haber_bosch", "title": "Haber–Bosch nitrogen fixation (bread from air)", "shelf": "theories", "surface": "secular", "snippet": "Haber–Bosch nitrogen fixation (bread from air) — an engine domain that can touch it: chemistry. Calibration: seals — stoichiometry, yield and equilibrium shifts compute. N₂ + 3H₂ ⇌ 2NH₃, run at roughl", "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_statistical_mechanics", "title": "Statistical mechanics (Boltzmann — why the second law is a counting argument)", "shelf": "theories", "surface": "secular", "snippet": "Statistical mechanics (Boltzmann — why the second law is a counting argument) — an engine domain that can touch it: thermodynamics. Calibration: seals — Boltzmann distributions, partition functions an", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_third_law_of_thermodynamics", "title": "Third law of thermodynamics", "shelf": "theories", "surface": "secular", "snippet": "Third law of thermodynamics — an engine domain that can touch it: thermodynamics. Calibration: map-only — a limiting statement, not a computation. As temperature approaches absolute zero, the entropy ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_scaling_laws", "title": "Scaling laws & allometry (Kleiber's law, the square-cube)", "shelf": "theories", "surface": "secular", "snippet": "Scaling laws & allometry (Kleiber's law, the square-cube) — an engine domain that can touch it: biology. Calibration: seals — scaling exponents and ratios compute exactly. Size is not neutral: when a ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_heisenberg_uncertainty_principle", "title": "Heisenberg uncertainty principle", "shelf": "theories", "surface": "secular", "snippet": "Heisenberg uncertainty principle — an engine domain that can touch it: physics. Calibration: partial — the bound computes; the ontology is map-only. Δx·Δp ≥ ħ/2. Position and momentum cannot both be s", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_power_laws", "title": "Power laws & heavy tails (Zipf, Pareto)", "shelf": "theories", "surface": "secular", "snippet": "Power laws & heavy tails (Zipf, Pareto) — an engine domain that can touch it: statistics. Calibration: seals — exponents, rank-frequency fits and tail probabilities compute. A distribution where P(x) ", "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_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_geostrophic_balance", "title": "Geostrophic balance & Coriolis dynamics", "shelf": "theories", "surface": "secular", "snippet": "Geostrophic balance & Coriolis dynamics — an engine domain that can touch it: meteorology. Calibration: partial — specific relations verify; the theory as a whole is not a sealable computation. In lar", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_seismology_earthquake_magnitude", "title": "Seismology & earthquake magnitude (Richter / moment)", "shelf": "theories", "surface": "secular", "snippet": "Seismology & earthquake magnitude (Richter / moment) — an engine domain that can touch it: geology. Calibration: seals — magnitude and energy relations compute. Earthquakes radiate P waves (fast, comp", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_comparative_advantage", "title": "Comparative advantage", "shelf": "theories", "surface": "secular", "snippet": "Comparative advantage — an engine domain that can touch it: economics. Calibration: seals — opportunity-cost ratios compute. Ricardo, 1817, and the least intuitive true statement in economics: two par", "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_combinatorial_enumeration", "title": "Combinatorial enumeration (permutations, combinations, binomial)", "shelf": "theories", "surface": "secular", "snippet": "Combinatorial enumeration (permutations, combinations, binomial) — an engine domain that can touch it: combinatorics. Calibration: seals. Counting arrangements without listing them. Permutations when ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_renormalization_group", "title": "The renormalization group (physics across scales)", "shelf": "theories", "surface": "secular", "snippet": "The renormalization group (physics across scales) — an engine domain that can touch it: physics. Calibration: partial — specific relations verify; the theory as a whole is not a sealable computation. ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "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_alpha_scale"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}