{"query": "Entropy is information — Boltzmann, Shannon, Landauer", "count": 10, "results": [{"id": "card_thermo_entropy_information", "title": "Entropy is information — Boltzmann, Shannon, Landauer", "shelf": "codex", "surface": "secular", "snippet": "Entropy in joules-per-kelvin and entropy in bits are the same quantity. Landauer's limit - erasing one bit costs at least k_B T ln2 - is the bridge, and where Maxwell's demon is exorcised (sealed on s", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "readable": false, "generated": false}, {"id": "card_theory_shannon_information_theory", "title": "Shannon information theory (entropy, channel capacity)", "shelf": "theories", "surface": "secular", "snippet": "Shannon information theory (entropy, channel capacity) — an engine domain that can touch it: information_theory. Calibration: seals. H = -Σ p log p. Information is measured by how much UNCERTAINTY a m", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_landauer", "title": "Landauer's principle (erasing information costs heat)", "shelf": "theories", "surface": "secular", "snippet": "Landauer's principle (erasing information costs heat) — an engine domain that can touch it: information_theory. Calibration: seals — the energy bound computes exactly. ERASING one bit must dissipate a", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_bridge_theory_landauer__shannon_information_theory", "title": "Bridge: Landauer's principle (erasing information costs heat)  ↔  Shannon information theory (entropy, channel capacity)", "shelf": "bridges", "surface": "secular", "snippet": "Landauer's principle (erasing information costs heat) and Shannon information theory (entropy, channel capacity) are the same form in different domains. THIS CLOSES THE INFORMATION-THERMODYNAMICS BRID", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_floor_thermodynamics", "title": "Thermodynamics — the arrow and the one end", "shelf": "codex", "surface": "secular", "snippet": "The four laws. The first law is energy conservation (Noether's energy, now counting heat and work). The second law - entropy never decreases - is the one place physics is not time-reversible: the arro", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "readable": false, "generated": false}, {"id": "card_src_pron_landauer", "title": "landauer", "shelf": "pronunciation", "surface": "secular", "snippet": "landauer: pronounced (ARPABET) L AE1 N D AW2 ER0. From the CMU Pronouncing Dictionary — the standard machine-readable pronunciations of North American English.", "authority_tier": "reference", "source": "CMU Pronouncing Dictionary (cmudict) — BSD-2-Clause, Carnegie Mellon", "readable": false, "generated": false}, {"id": "card_src_book_68228", "title": "Der Todesprediger — Gustav Landauer", "shelf": "gutenberg", "surface": "secular", "snippet": "Der Todesprediger, by Gustav Landauer (in de). Subjects: German fiction -- 19th century. Read the full text (public domain): https://www.gutenberg.org/ebooks/68228", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_52012", "title": "Shakespeare (Volume 1 of 2) Dargestellt im Vorträgen — Gustav Landauer", "shelf": "gutenberg", "surface": "secular", "snippet": "Shakespeare (Volume 1 of 2) Dargestellt im Vorträgen, by Gustav Landauer (in de). Subjects: Shakespeare, William, 1564-1616 -- Criticism and interpretation. Read the full text (public domain): https:/", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_src_book_52013", "title": "Shakespeare (Volume 2 of 2) Dargestellt im Vorträgen — Gustav Landauer", "shelf": "gutenberg", "surface": "secular", "snippet": "Shakespeare (Volume 2 of 2) Dargestellt im Vorträgen, by Gustav Landauer (in de). Subjects: Shakespeare, William, 1564-1616 -- Criticism and interpretation. Read the full text (public domain): https:/", "authority_tier": "reference", "source": "Project Gutenberg (public domain)", "readable": true, "generated": false}, {"id": "card_seal_3d88aca264b9b1394e11f93cbc8a194df03a4313d118e548f7139e2560b674d0", "title": "Receipt 3d88aca264b9… — sealed: record", "shelf": "seals", "surface": "secular", "snippet": "{\n \"anchors\": [],\n \"axis_coords\": {\n  \"axis\": \"mathematics\",\n  \"dimensions\": [\n   \"reasoning\"\n  ]\n },\n \"gate_results\": [\n  {\n   \"details\": {\n    \"broken_at\": null,\n    \"confirmed_steps\": 1,\n    \"error", "authority_tier": "engine_derived", "source": "Narrow Highway engine — sealed record", "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_thermo_entropy_information"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}