{"query": "Gauge symmetry gives charge — the Standard Model's currents", "count": 20, "results": [{"id": "card_noether_gauge_gives_charge", "title": "Gauge symmetry gives charge — the Standard Model's currents", "shelf": "codex", "surface": "secular", "snippet": "The phase (gauge) symmetry of the wavefunction gives conservation of electric charge; the Standard Model's gauge symmetries give its conserved currents. The forces themselves are read off the symmetri", "authority_tier": "engine_derived", "source": "Narrow Highway — Noether's theorem", "readable": false, "generated": false}, {"id": "card_theory_noncommutative_geometry", "title": "Noncommutative geometry & the spectral triple (Connes)", "shelf": "theories", "surface": "secular", "snippet": "Noncommutative geometry & the spectral triple (Connes) — an engine domain that can touch it: mathematics. Calibration: map-only — out of scope for sealing — foundational, empirical or interpretive (RE", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_systems_engineering", "title": "Systems engineering (requirements, interfaces, and emergent failure)", "shelf": "theories", "surface": "secular", "snippet": "Systems engineering (requirements, interfaces, and emergent failure) — an engine domain that can touch it: operations_research. Calibration: map-only — a discipline of practice; reliability and margin", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_ci_gradient_manifold", "title": "The gradient manifold — one form across the planes", "shelf": "science", "surface": "secular", "snippet": "This form is already kept here as doctrine (see 'the reservoir and the manifold', from Matt Harris's Universal Gradient Manifold): the enduring value in an energy system is the RESERVOIR that stores a", "authority_tier": "reference", "source": "Collective intelligence — measured natural systems, mapped to the engine", "readable": false, "generated": false}, {"id": "card_src_pron_model_s", "title": "model's", "shelf": "pronunciation", "surface": "secular", "snippet": "model's: pronounced (ARPABET) M AA1 D AH0 L Z. 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_alm_assessment_hegel_dialectic_real_but_the_absolute_is_not_us", "title": "Almanac: Hegel -- the dialectic is real (contradiction lifts to a higher unity); the Absolute coming to itself through us is the fork", "shelf": "almanac", "surface": "secular", "snippet": "SITUATION\n  Assessed in three verdicts, credit first. THE KERNEL -- real and sealed. Hegel saw that thought and history DEVELOP by working through opposition: a thesis meets its antithesis (the contra", "authority_tier": "reference", "source": "The Almanac — verified-only practical wisdom (sealed)", "readable": false, "generated": false}, {"id": "card_theory_group_theory", "title": "Group theory & symmetry (the mathematics of what stays the same)", "shelf": "theories", "surface": "secular", "snippet": "Group theory & symmetry (the mathematics of what stays the same) — an engine domain that can touch it: mathematics. Calibration: seals — group orders, subgroup structure and symmetry counts compute. A", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_ac_polyphase_power", "title": "AC & the polyphase system (Tesla, and why the grid is alternating)", "shelf": "theories", "surface": "secular", "snippet": "AC & the polyphase system (Tesla, and why the grid is alternating) — an engine domain that can touch it: electrical. Calibration: seals — transmission loss, turns ratio and phase relations compute. Ni", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_ohm_s_law_circuit_theory", "title": "Ohm's law & circuit theory (Kirchhoff)", "shelf": "theories", "surface": "secular", "snippet": "Ohm's law & circuit theory (Kirchhoff) — an engine domain that can touch it: electrical. Calibration: seals — voltages, currents and power all compute directly. V = IR, plus Kirchhoff's two rules: cur", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_molecular_symmetry_point_groups", "title": "Molecular symmetry & point groups", "shelf": "theories", "surface": "secular", "snippet": "Molecular symmetry & point groups — an engine domain that can touch it: molecular_geometry. Calibration: seals — a deterministic verifier can CONFIRM or BREAK checkable claims drawn from it, and seal ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (lone-domain seeding)", "readable": false, "generated": false}, {"id": "card_theory_noether_s_theorem__symmetry_and_conservation", "title": "Noether's theorem (symmetry and conservation)", "shelf": "theories", "surface": "secular", "snippet": "Noether's theorem (symmetry and conservation) — an engine domain that can touch it: physics. Calibration: map-only — out of scope for sealing — foundational, empirical or interpretive (RESONANCE); for", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_quasicrystals", "title": "Quasicrystals (forbidden symmetry in real matter)", "shelf": "theories", "surface": "secular", "snippet": "Matter that is ordered but not periodic. Dan Shechtman recorded an electron diffraction pattern from rapidly cooled Al-Mn on 8 April 1982 showing SHARP Bragg peaks with ten-fold symmetry — sharp peaks", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_circulation_harvey", "title": "Circulation of the blood (Harvey's quantitative argument)", "shelf": "theories", "surface": "secular", "snippet": "Circulation of the blood (Harvey's quantitative argument) — an engine domain that can touch it: medicine. Calibration: seals — cardiac output and flow arithmetic compute. Blood circulates in a closed ", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_theory_digital_analog", "title": "Digital versus analog (why discreteness survives copying)", "shelf": "theories", "surface": "secular", "snippet": "Digital versus analog (why discreteness survives copying) — an engine domain that can touch it: computer_science. Calibration: map-only — sampling rates and bit depth are ordinary arithmetic, and THIS", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_src_word_thank", "title": "thank", "shelf": "dictionary", "surface": "secular", "snippet": "A expression of gratitude; an acknowledgment expressive of a sense of favor or kindness received; obligation, claim, or desert, or gratitude; -- now generally used in the plural. \"This ceremonial than", "authority_tier": "reference", "source": "webster-1913", "readable": false, "generated": false}, {"id": "card_maxwell_gauge_charge", "title": "U(1) gauge symmetry → conservation of charge", "shelf": "codex", "surface": "secular", "snippet": "Electromagnetism is the U(1) gauge theory, and by Noether its symmetry gives conservation of electric charge - the continuity equation d(rho)/dt + div J = 0 is built into Maxwell's equations. The symm", "authority_tier": "engine_derived", "source": "Narrow Highway — Maxwell's equations", "readable": false, "generated": false}, {"id": "card_floor_noethers_theorem", "title": "Noether's theorem — symmetry is the source of conservation", "shelf": "codex", "surface": "secular", "snippet": "For every continuous symmetry of the action there is a conserved quantity (Emmy Noether, 1918). The seam between the Lagrangian and the Hamiltonian: the Lagrangian's time-symmetry PRODUCES the Hamilto", "authority_tier": "engine_derived", "source": "Narrow Highway — Noether's theorem", "readable": false, "generated": false}, {"id": "card_theory_maxwell_s_equations_classical_electromagnetism", "title": "Maxwell's equations / classical electromagnetism", "shelf": "theories", "surface": "secular", "snippet": "Maxwell's equations / classical electromagnetism — an engine domain that can touch it: electrical. Calibration: partial — circuit and field relations verify; the full field theory is map-only. Four eq", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "readable": false, "generated": false}, {"id": "card_survival_signal_rescue", "title": "Signaling for rescue", "shelf": "survival", "surface": "secular", "snippet": "THREE of anything means distress — three fires in a triangle, three whistle blasts, three flashes. By day: signal mirror aimed at aircraft (flash toward the sun's reflection), bright smoke (green boug", "authority_tier": "reference", "source": "U.S. Army Survival Manual FM 21-76 (public domain)", "readable": false, "generated": false}, {"id": "card_theory_network_theory", "title": "Network theory (routing, addressing / CIDR)", "shelf": "theories", "surface": "secular", "snippet": "Network theory (routing, addressing / CIDR) — an engine domain that can touch it: networking. Calibration: seals — subnet masks, address ranges and prefix matches compute exactly. An IP address is spl", "authority_tier": "reference", "source": "The Theory Assay — calibrated, not judged (docs/THEORY_CATALOG.md)", "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_noether_gauge_gives_charge"}}, "ends": "a verdict or a card · the trail · a seal · one next step"}}