{"query": "Fluid dynamics as the behavior of the axes", "count": 20, "results": [{"id": "card_n_ff27b07c4577", "title": "Fluid dynamics as the behavior of the axes", "shelf": "concepts", "surface": "secular", "snippet": "Matt: 'Fluid dynamics as behavior of axes? something along that line.' The axes are not static — they FLOW and redistribute as the map grows. Fluid dynamics may describe their behavior: a turbulent fl"}, {"id": "card_c_108666f40f9f", "title": "Fluid probability dynamics resonates with Fluid dynamics of the axes", "shelf": "connections", "surface": null, "snippet": "Same conserved-flow skeleton, read on the map's own axes — RESONANCE, a map-aid not a proof."}, {"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"}, {"id": "card_c_576d28632055", "title": "Madelung hydrodynamics instantiates Fluid probability dynamics", "shelf": "connections", "surface": null, "snippet": "Quantum mechanics rewritten as the fluid dynamics of |ψ|²."}, {"id": "card_n_810d857d886e", "title": "Madelung hydrodynamics — quantum mechanics as a probability fluid", "shelf": "science", "surface": "secular", "snippet": "Write ψ = √ρ·e^(iS/ħ) and the Schrödinger equation becomes fluid dynamics of the probability\ndensity ρ = |ψ|²: a continuity equation with velocity v = ∇S/m, plus an Euler equation carrying a\n'quantum "}, {"id": "card_c_e655b3fcef54", "title": "Optimal transport instantiates Fluid probability dynamics", "shelf": "connections", "surface": null, "snippet": "The geometry of moving probability — Fokker–Planck as a Wasserstein gradient flow."}, {"id": "card_c_41cd8b933961", "title": "Fluid probability dynamics — one continuity  ↔ Madelung hydrodynamics — quantum mechanics a", "shelf": "connections", "surface": null, "snippet": "quantum mechanics (Madelung: v = ∇S/m plus a quantum potential — the Schrödinger equation rewritten as fluid dynamics of |ψ|²)  — a concord the card itself states; mined + verified."}, {"id": "card_c_3cc9f3e8e74f", "title": "Fokker–Planck & Liouville instantiates Fluid probability dynamics", "shelf": "connections", "surface": null, "snippet": "Statistical mechanics is the stochastic instance of the probability-continuity equation."}, {"id": "card_c_3437884ad1bb", "title": "Fluid probability dynamics related to the spectral (Fourier) lens", "shelf": "connections", "surface": null, "snippet": "Fourier eigenmodes of the Laplacian are exactly how the diffusion/continuity operator is solved."}, {"id": "card_c_c1d4f07c75cd", "title": "Fokker–Planck & Liouville — probability flow ↔ Fluid probability dynamics — one continuity ", "shelf": "connections", "surface": null, "snippet": "The stochastic instantiation of probability-as-fluid. ... In Hamiltonian phase space, Liouville's theorem gives dρ/dt = 0 — the probability fluid is incompressible.  — a concord the card itself states"}, {"id": "card_src_word_behaviour", "title": "behaviour", "shelf": "dictionary", "surface": "secular", "snippet": "behaviour: (noun) the action or reaction of something (as a machine or substance) under specified circumstances — syn: behavior · (noun) (behavioral attributes) the way a person behaves toward other p"}, {"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 "}, {"id": "card_n_23ddfa0652b0", "title": "Easton: Acts of the Apostles", "shelf": "dictionary", "surface": "secular", "snippet": "The title now given to the fifth and last of the historical books of the New Testament. The author styles it a “treatise” (1:1). It was early called “The Acts,” “The Gospel of the Holy Ghost,” and “Th"}, {"id": "card_n_329e521d766b", "title": "Aurelius, Meditations §aur_06_xxxiii: Asia, Europe; what are they, but as corners of the whole world; of which the ...", "shelf": "classics", "surface": "secular", "snippet": "Asia, Europe; what are they, but as corners of the whole world; of which the whole sea, is but as one drop; and the great Mount Athos, but as a clod, as all present time is but as one point of eternit"}, {"id": "card_c_1650c345cc7d", "title": "Pheromones — the molecule is the message ↔ Fluid probability dynamics — one continuity ", "shelf": "connections", "surface": null, "snippet": "Pheromones DIFFUSE down a gradient (the continuity/diffusion equation) and DECAY (the exponential clock) — the fluid and the clock of this whole map, carried in a scent.  — a concord the card itself s"}, {"id": "card_n_28bcf3faffe1", "title": "Easton: Assyria", "shelf": "dictionary", "surface": "secular", "snippet": "The name derived from the city Asshur on the Tigris, the original capital of the country, was originally a colony from Babylonia, and was ruled by viceroys from that kingdom. It was a mountainous regi"}, {"id": "card_n_048bd5e3c62d", "title": "Easton: Samuel, Books of", "shelf": "dictionary", "surface": "secular", "snippet": "The LXX. translators regarded the books of Samuel and of Kings as forming one continuous history, which they divided into four books, which they called “Books of the Kingdom.” The Vulgate version foll"}, {"id": "card_n_2ca9d4b75757", "title": "Easton: Ur", "shelf": "dictionary", "surface": "secular", "snippet": "Light, or the moon city, a city “of the Chaldees,” the birthplace of Haran (Gen. 11:28, 31), the largest city of Shinar or northern Chaldea, and the principal commercial centre of the country as well "}, {"id": "card_src_comm_acts_16_25", "title": "Matthew Henry on Acts 16:25", "shelf": "commentary", "surface": "secular", "snippet": "On Acts 16:25 — We have here the designs of the persecutors of Paul and Silas baffled and broken.\nI. The persecutors designed to dishearten and discourage the preachers of the gospel, and to make them"}, {"id": "card_n_058570f8c25e", "title": "Easton: Obadiah, Book of", "shelf": "dictionary", "surface": "secular", "snippet": "Consists of one chapter, “concerning Edom,” its impending doom (1:1-16), and the restoration of Israel (1:17-21). This is the shortest book of the Old Testament. There are on record the account of fou"}]}