{"query": "Gödel — why a calibration tool must point beyond itself", "count": 20, "results": [{"id": "card_n_e7c1d7f721bb", "title": "Gödel — why a calibration tool must point beyond itself", "shelf": "science", "surface": "secular", "snippet": "Kurt Gödel — the deepest logician since Aristotle — proved two things this whole engine rests on,\nand together they are the mathematics of a calibration tool for alignment to source through Jesus Chri", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-10", "readable": false, "generated": false}, {"id": "card_theory_fixed_point_theorems__brouwer__kakutani", "title": "Fixed-point theorems (Brouwer, Kakutani)", "shelf": "theories", "surface": "secular", "snippet": "Fixed-point theorems (Brouwer, Kakutani) — an engine domain that can touch it: mathematics. Calibration: map-only — an existence proof, not a computation. Brouwer: any continuous map of a convex compa", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_atmospheric_thermodynamics", "title": "Atmospheric thermodynamics (dew point, lapse rate)", "shelf": "theories", "surface": "secular", "snippet": "Atmospheric thermodynamics (dew point, lapse rate) — an engine domain that can touch it: meteorology. Calibration: seals — dew point, humidity and lapse rates compute. Rising air expands and cools wit", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_projective_geometry", "title": "Projective geometry (perspective & the cross-ratio)", "shelf": "theories", "surface": "secular", "snippet": "Projective geometry (perspective & the cross-ratio) — an engine domain that can touch it: geometry. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, a", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_g_del_s_incompleteness_theorems", "title": "Gödel's incompleteness theorems", "shelf": "theories", "surface": "secular", "snippet": "Gödel's incompleteness theorems — an engine domain that can touch it: formal_logic. Calibration: map-only — a meta-theorem about systems, not a sealable computation. FIRST (1931): any consistent forma", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_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_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_homeostasis_physiological_regulation", "title": "Homeostasis & physiological regulation", "shelf": "theories", "surface": "secular", "snippet": "Homeostasis & physiological regulation — an engine domain that can touch it: medicine. Calibration: partial — specific indices compute; the framework is empirical. A body holds its internal conditions", "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}, {"id": "card_theory_exercise_physiology", "title": "Exercise physiology (VO₂max, HR zones)", "shelf": "theories", "surface": "secular", "snippet": "Exercise physiology (VO₂max, HR zones) — an engine domain that can touch it: exercise_science. Calibration: seals — max HR estimates, zones and work rates compute. VO₂max is the maximum rate of oxygen", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_zermelo_fraenkel_set_theory_zfc", "title": "Zermelo–Fraenkel set theory (ZFC)", "shelf": "theories", "surface": "secular", "snippet": "Zermelo–Fraenkel set theory (ZFC) — an engine domain that can touch it: formal_logic. Calibration: map-only — an axiomatic foundation, not a computation. Nine or so axioms about sets from which essent", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_biochemistry_enzymes", "title": "Biochemistry & enzymes (catalysis at body temperature)", "shelf": "theories", "surface": "secular", "snippet": "Biochemistry & enzymes (catalysis at body temperature) — an engine domain that can touch it: biology. Calibration: seals — reaction rates, Michaelis–Menten kinetics and energy budgets compute. An enzy", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_non_euclidean_hyperbolic_elliptic_geometry", "title": "Non-Euclidean (hyperbolic / elliptic) geometry", "shelf": "theories", "surface": "secular", "snippet": "Non-Euclidean (hyperbolic / elliptic) geometry — an engine domain that can touch it: geometry. Calibration: partial — curvature relations verify; the choice of axioms is map-only. Deny Euclid's fifth ", "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_toulmin_argument", "title": "The Toulmin model of argumentation", "shelf": "theories", "surface": "secular", "snippet": "The Toulmin model of argumentation — an engine domain that can touch it: rhetoric. Calibration: partial — specific relations verify; the theory as a whole is not a sealable computation. An argument de", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_topology", "title": "Topology (what survives stretching)", "shelf": "theories", "surface": "secular", "snippet": "Topology (what survives stretching) — an engine domain that can touch it: mathematics. Calibration: map-only — specific invariants compute; the classification results are proofs, not computations. Geo", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_prospect_theory", "title": "Prospect theory & bounded rationality (Kahneman, Simon)", "shelf": "theories", "surface": "secular", "snippet": "Prospect theory & bounded rationality (Kahneman, Simon) — an engine domain that can touch it: economics. Calibration: map-only — empirical and interpretive; specific experiments replicate. People do n", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_numerical_analysis", "title": "Numerical analysis (why the computer's answer is not the answer)", "shelf": "theories", "surface": "secular", "snippet": "Numerical analysis (why the computer's answer is not the answer) — an engine domain that can touch it: computer_science. Calibration: map-only — error bounds and condition numbers are computable in pr", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_noncommutative_geometry", "title": "Noncommutative geometry & the spectral triple (Connes)", "shelf": "theories", "surface": "secular", "snippet": "Noncommutative geometry & the spectral triple (Connes) — an engine domain that can touch it: mathematics. Calibration: map-only — out of scope for sealing — foundational, empirical or interpretive (RE", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}]}