{"query": "Statistical mechanics — many microstates, one macrostate", "count": 4, "results": [{"id": "card_thermo_statistical_mechanics", "title": "Statistical mechanics — many microstates, one macrostate", "shelf": "codex", "surface": "secular", "snippet": "The bridge from the reversible microscopic law to the irreversible macrostate: 10^23 particles, one temperature and one pressure. Boltzmann S = k_B ln W counts the microstates; the macrostate is what ", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "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_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_thermo_second_law", "title": "The second law — entropy increases, the arrow, the one end", "shelf": "codex", "surface": "secular", "snippet": "Entropy of an isolated system never decreases. The microscopic laws are time-reversible; this is where irreversibility enters - the arrow of time. Of the vast many microstates almost all flow to the o", "authority_tier": "engine_derived", "source": "Narrow Highway — thermodynamics", "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_statistical_mechanics"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}