{"query": "Boltzmann constant = 1.380649e-23 J/K", "count": 14, "results": [{"id": "card_ref_pc_boltzmann_constant", "title": "Boltzmann constant = 1.380649e-23 J/K", "shelf": "physics", "surface": "secular", "snippet": "The boltzmann constant is 1.380649e-23 J/K (exact by definition) — exact since 2019 SI. Verified physical constant.", "authority_tier": "reference", "source": "Verified reference — physical_constants", "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)", "generated": false}, {"id": "card_theory_heat_transfer", "title": "Heat transfer (conduction, convection, radiation)", "shelf": "theories", "surface": "secular", "snippet": "Heat transfer (conduction, convection, radiation) — an engine domain that can touch it: thermodynamics. Calibration: seals — Fourier's law, R-values and Stefan–Boltzmann all compute. Heat moves three ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_second_law_of_thermodynamics", "title": "Second law of thermodynamics (entropy)", "shelf": "theories", "surface": "secular", "snippet": "Second law of thermodynamics (entropy) — an engine domain that can touch it: thermodynamics. Calibration: partial — efficiency and entropy changes compute; the arrow of time is map-only. The entropy o", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_theory_category_theory", "title": "Category theory (the mathematics of structure-preserving maps)", "shelf": "theories", "surface": "secular", "snippet": "Category theory (the mathematics of structure-preserving maps) — an engine domain that can touch it: mathematics. Calibration: map-only — an organising framework rather than a computation. Study objec", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "generated": false}, {"id": "card_src_word_boltzmann_distribution_law", "title": "boltzmann distribution law", "shelf": "dictionary", "surface": "secular", "snippet": "boltzmann distribution law: (noun) (physics) a law expressing the distribution of energy among the molecules of a gas in thermal equilibrium — syn: Maxwell-Boltzmann distribution law", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_maxwell_boltzmann_distribution_law", "title": "maxwell-boltzmann distribution law", "shelf": "dictionary", "surface": "secular", "snippet": "maxwell-boltzmann distribution law: (noun) (physics) a law expressing the distribution of energy among the molecules of a gas in thermal equilibrium — syn: Boltzmann distribution law", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_ref_pc_stefan_boltzmann_constant", "title": "Stefan boltzmann constant = 5.670374419e-08 W/(m^2*K^4)", "shelf": "physics", "surface": "secular", "snippet": "The stefan boltzmann constant is 5.670374419e-08 W/(m^2*K^4) (measured) — sigma. Verified physical constant.", "authority_tier": "reference", "source": "Verified reference — physical_constants", "generated": false}, {"id": "card_src_word_boltzmann", "title": "boltzmann", "shelf": "dictionary", "surface": "secular", "snippet": "boltzmann: (noun) Austrian physicist who contributed to the kinetic theory of gases (1844-1906) — syn: Ludwig Boltzmann", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_src_word_ludwig_boltzmann", "title": "ludwig boltzmann", "shelf": "dictionary", "surface": "secular", "snippet": "ludwig boltzmann: (noun) Austrian physicist who contributed to the kinetic theory of gases (1844-1906) — syn: Boltzmann", "authority_tier": "reference", "source": "WordNet 3.0, Princeton University (WordNet License)", "generated": false}, {"id": "card_n_041763374eca", "title": "Fokker–Planck & Liouville — probability flow in statistical mechanics", "shelf": "science", "surface": "secular", "snippet": "The stochastic instantiation of probability-as-fluid. Fokker–Planck sets the current\nJ = μρ − D∇ρ (drift + diffusion); its steady state is the Boltzmann distribution ρ ∝ e^(−U/kT),\nwhich makes the cur", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-08", "generated": false}, {"id": "card_alm_connection_entropy_is_thermodynamic", "title": "Almanac: Shannon entropy and thermodynamic entropy are the same quantity", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  The entropy of a message and the entropy of a gas are not analogies -- they are one formula. information_theory confirmed Shannon entropy numerically: a fair coin carries 1 bit, four equal", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "generated": false}, {"id": "card_n_8530c72a2201", "title": "Fluid probability dynamics — one continuity equation across physics, geometry, and ML", "shelf": "science", "surface": "secular", "snippet": "One equation wears many clothes. Probability is a conserved fluid: the continuity equation\ndρ/dt + ∇·J = 0 (current J = ρv) says density is never created or destroyed — it only flows. The\nsame skeleto", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-08", "generated": false}, {"id": "card_src_pron_boltzmanns", "title": "boltzmanns", "shelf": "pronunciation", "surface": "secular", "snippet": "", "authority_tier": "", "source": "", "generated": false}]}