{"query": "The periodic table — electrons in quantum shells", "count": 20, "results": [{"id": "card_chem_periodic_table", "title": "The periodic table — electrons in quantum shells", "shelf": "codex", "surface": "secular", "snippet": "The elements are ordered by how electrons fill quantum shells (shell n holds 2n^2, sealed) under the Pauli exclusion principle. Helium closes 2, neon closes 8 (the octet), the third shell opens 18 (th", "authority_tier": "engine_derived", "source": "Narrow Highway — chemistry", "readable": false, "generated": false}, {"id": "card_theory_pauli_exclusion_principle", "title": "Pauli exclusion principle", "shelf": "theories", "surface": "secular", "snippet": "Pauli exclusion principle — an engine domain that can touch it: atomic. Calibration: seals — electron configurations and shell capacities compute. No two identical fermions may occupy the same quantum", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_bohr_quantum_model_of_the_atom", "title": "Bohr / quantum model of the atom", "shelf": "theories", "surface": "secular", "snippet": "Bohr / quantum model of the atom — an engine domain that can touch it: atomic. Calibration: seals — energy levels and shell capacities compute. Electrons occupy discrete orbits with QUANTISED energies", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_vsepr_theory", "title": "VSEPR theory (molecular geometry)", "shelf": "theories", "surface": "secular", "snippet": "VSEPR theory (molecular geometry) — an engine domain that can touch it: molecular_geometry. Calibration: seals — shapes and bond angles predict directly. Valence Shell Electron Pair Repulsion: electro", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_emergence", "title": "Emergence & self-organization (more is different)", "shelf": "theories", "surface": "secular", "snippet": "Emergence & self-organization (more is different) — an engine domain that can touch it: physics. Calibration: map-only — a structural claim about levels, not a computation. A system has properties non", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_aufbau_configuration", "title": "Aufbau principle & electron configuration", "shelf": "theories", "surface": "secular", "snippet": "Aufbau principle & electron configuration — an engine domain that can touch it: periodic_table. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and s", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_domchk_atomic_claimed_shell_capacity", "title": "Atomic: shell capacity", "shelf": "atomic", "surface": "secular", "snippet": "A worked check in atomic: shell capacity.\n\nGIVEN\n  l = 2\n  n = 3\n  shell_n = 3\n  subshell_l = 2\n\nCLAIMED\n  claimed_shell_capacity = 18\n\nTHE ENGINE'S VERDICT\n  atomic.quantum_numbers: CONFIRMED — valid", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_n_6e7a5b14e556", "title": "The periodic table — the map of the elements", "shelf": "science", "surface": "secular", "snippet": "118 elements, ordered by proton count, and their properties RECUR in periods — the\nsingle most predictive table in science. Sealed in-domain: carbon is element 6, symbol C\n(https://narrowhighway.com/s", "authority_tier": "engine_derived", "source": "Concordance assay — 2026-07-09", "readable": false, "generated": false}, {"id": "card_domchk_atomic_claimed_configuration", "title": "Atomic: configuration", "shelf": "atomic", "surface": "secular", "snippet": "A worked check in atomic: configuration.\n\nGIVEN\n  atomic_number = 24\n  l = 2\n  n = 3\n  shell_n = 3\n  subshell_l = 2\n\nCLAIMED\n  claimed_configuration = [Ar] 3d5 4s1\n\nTHE ENGINE'S VERDICT\n  atomic.quant", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_domchk_atomic_claimed_subshell_capacity", "title": "Atomic: subshell capacity", "shelf": "atomic", "surface": "secular", "snippet": "A worked check in atomic: subshell capacity.\n\nGIVEN\n  l = 2\n  n = 3\n  subshell_l = 2\n\nCLAIMED\n  claimed_subshell_capacity = 10\n\nTHE ENGINE'S VERDICT\n  atomic.quantum_numbers: CONFIRMED — valid quantum", "authority_tier": "reference", "source": "The verifier's own documented relation, and a run this engine performed against it (deterministic; re-runnable with tools/domain_goldens.py)", "readable": false, "generated": false}, {"id": "card_bridge_theory_maxwell_s_equations_classical_electromagnetism__newton_s_law_of_universal_gravit", "title": "Bridge: Maxwell's equations / classical electromagnetism  ↔  Newton's law of universal gravitation", "shelf": "bridges", "surface": "secular", "snippet": "Maxwell's equations / classical electromagnetism and Newton's law of universal gravitation are the same form in different domains. Coulomb's law and universal gravitation are the SAME inverse-square f", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_bridge_theory_spectroscopy__periodic_law", "title": "Bridge: Spectroscopy (how we know what a distant thing is made of)  ↔  Periodic law (Mendeleev)", "shelf": "bridges", "surface": "secular", "snippet": "Spectroscopy (how we know what a distant thing is made of) and Periodic law (Mendeleev) are the same form in different domains. two independent fingerprints of the same underlying fact. Mendeleev sort", "authority_tier": "reference", "source": "The Bridges — cross-domain isomorphisms", "readable": false, "generated": false}, {"id": "card_src_openstax_anatomy_and_physiology_2e_review_questions_95f64ff2", "title": "Review Questions — Anatomy and Physiology 2e", "shelf": "medicine", "surface": "secular", "snippet": "Review Questions\n\n4.\n\nTogether, just four elements make up more than 95 percent of the body’s mass. These include ________.\n\ncalcium, magnesium, iron, and carbon\n\noxygen, calcium, iron, and nitrogen\n\n", "authority_tier": "reference", "source": "OpenStax: Anatomy and Physiology 2e (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_src_openstax_anatomy_and_physiology_review_questions_b373a7e0", "title": "Review Questions — Anatomy and Physiology", "shelf": "medicine", "surface": "secular", "snippet": "Review Questions\n\n4.\n\nTogether, just four elements make up more than 95 percent of the body’s mass. These include ________.\n\ncalcium, magnesium, iron, and carbon\n\noxygen, calcium, iron, and nitrogen\n\n", "authority_tier": "reference", "source": "OpenStax: Anatomy and Physiology (CC-BY 4.0)", "readable": false, "generated": false}, {"id": "card_span_edcf26c30591", "title": "A  NOTABLE  UTTERANCE", "shelf": "practical", "surface": "secular", "snippet": "213 \n\n\nhave  conquered  you.  We  are  sorry,  last  year,  that  you  raised \nthe  tomahawk  against  us ;  but  we  believe  you  did  not  know \nus  then  as  you  do  now. \nWe  think  that  in  ti", "authority_tier": "primary_pd", "source": "Outdoor life and Indian stories : making open air life attractive to young Americans by telling them all about woodcraft", "readable": true, "generated": false}, {"id": "card_floor_chemistry", "title": "Chemistry — quantum mechanics applied, the periodic table", "shelf": "codex", "surface": "secular", "snippet": "The world of substances, standing on the physics region. Chemistry is the Schrodinger equation for electrons around nuclei, plus Pauli exclusion, plus electromagnetism; the periodic table falls out of", "authority_tier": "engine_derived", "source": "Narrow Highway — chemistry", "readable": false, "generated": false}, {"id": "card_works_radiometric", "title": "One half-life of a radioactive clock", "shelf": "the-works", "surface": "secular", "snippet": "After one half-life — 5,730 years for carbon-14 — exactly half the original atoms remain. This is how charcoal, bone and shell are dated.  Worked & sealed by the engine — N = 100·½¹ = 50 after one hal", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_calc_v_atomic_shell_capacity", "title": "Shell capacity", "shelf": "calculations", "surface": "secular", "snippet": "Shell capacity — atomic. Formula: capacity = 2 n^2. Canonical FORM: combinatorial (C(n,k) = n! / (k!(n-k)!)) — engine verifier atomic.shell_capacity — the deterministic check the concordance runs. Sam", "authority_tier": "reference", "source": "The Calculation Map — every calculation, mapped by form", "readable": false, "generated": false}, {"id": "card_works_atom", "title": "The electrons of sodium, shell by shell", "shelf": "the-works", "surface": "secular", "snippet": "Sodium's eleven electrons fill the shells in a fixed order — 1s² 2s² 2p⁶ 3s¹ — and that one lonely outer electron is the whole reason sodium is so reactive.  Worked & sealed by the engine — Z=11 groun", "authority_tier": "verified", "source": "The Works — worked & sealed", "readable": false, "generated": false}, {"id": "card_src_openstax_biology_ap_courses_review_questions_82e1eb46", "title": "Review Questions — Biology for AP® Courses", "shelf": "biology", "surface": "secular", "snippet": "Review Questions\n\n1\n.\n\nWhat is the term for atoms of the same element that vary in the number of neutrons in their nuclei?\n\nions\n\nisotopes\n\nisobars\n\nneutral atoms\n\n2\n.\n\nPotassium has an atomic number ", "authority_tier": "reference", "source": "OpenStax: Biology for AP® Courses (CC-BY 4.0)", "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_chem_periodic_table"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}