{
  "vercy": "1.0-draft",
  "publication": {
    "status": "research-draft",
    "adjudicationStatus": "unreviewed",
    "publishableCanonical": false,
    "generatedAt": "2026-09-11T19:39:11Z",
    "providers": [
      "Claude"
    ],
    "breadth": "written by Claude from model knowledge without web access - no source was read, every claim is a lead to verify",
    "pass": 2,
    "wave": 2,
    "engine": "claude",
    "enrichment": {
      "pass": 3,
      "engine": "claude",
      "producedAt": "2026-10-05T19:00:00Z",
      "ingestedAt": "2026-10-05T20:44:48+00:00",
      "fields": [
        "agent_conduct",
        "ethics",
        "owners"
      ]
    },
    "revisions": [
      {
        "at": "2026-10-06T22:46:21+00:00",
        "engine": "codex",
        "fields": [
          "definition"
        ],
        "answering_review": "3471570ec0bcddaf30c057774a5e74e9d430357b4f43a79f1f06f6ebad46573b"
      }
    ],
    "gate": {
      "passed": true,
      "version": "1.0",
      "at": "2026-10-07T10:10:29+00:00",
      "evidence": [
        "completeness 1.00",
        "sense: Wikidata description",
        "2 live sources",
        "review by codex: pass"
      ]
    }
  },
  "metaModel": {
    "id": "THING-Q2672914",
    "registryId": "vr.tr.vector-quantity",
    "name": "vector quantity",
    "version": "0.2.0-wave.2",
    "entryKind": "thing",
    "family": "Thing Registry",
    "domain": [
      "XCT.QLT"
    ],
    "status": "research-draft"
  },
  "canonicalUrl": "https://ver.cy/models/thing/q2672914/",
  "model": {
    "registry_id": "vr.tr.vector-quantity",
    "name": "vector quantity",
    "purpose": "Let an agent explain vector quantities and their mathematics, perform vector calculations, and distinguish vectors from scalars and other quantities in physics and engineering.",
    "definition": "A physical quantity that has both magnitude and direction, such as velocity, force, acceleration, electric field, momentum, magnetisation and mass flux density, represented by arrows or component arrays and combined by vector addition; vector quantities contrast with scalar quantities, which have magnitude only.",
    "what_it_is_for": "Describing directional physical quantities.",
    "affordances": [
      "identify whether a quantity is a vector",
      "add, resolve and multiply vectors",
      "explain vector fields",
      "apply vectors in mechanics and electromagnetism"
    ],
    "distinguishing_features": [
      "Magnitude and direction",
      "Vector addition",
      "Components in a frame",
      "Transform under rotation"
    ],
    "appearance": "Not physical; arrows and component notation.",
    "visual_identification": [
      "Magnitude and direction",
      "Bold or arrow notation",
      "Scalars such as mass and temperature have no direction"
    ],
    "physical_properties": [],
    "families_and_kinds": [
      "kinematic vectors such as velocity and acceleration",
      "dynamic vectors such as force and momentum",
      "field vectors such as electric and magnetic fields",
      "flux and current density vectors",
      "pseudovectors such as angular velocity"
    ],
    "related_models": [
      {
        "relation": "is a kind of",
        "target": "physical quantity",
        "why": "category"
      },
      {
        "relation": "includes",
        "target": "magnetization",
        "why": "example"
      },
      {
        "relation": "is represented by",
        "target": "matrix",
        "why": "component arrays"
      },
      {
        "relation": "is contrasted with",
        "target": "speed",
        "why": "a scalar"
      }
    ],
    "identifiers": [],
    "standards_and_regulation": [
      "ISO 80000-2 notation for vectors",
      "SI units"
    ],
    "failure_modes_and_hazards": [
      "Adding magnitudes instead of vectors",
      "Confusing vectors and pseudovectors",
      "Frame and sign errors"
    ],
    "in_scope": [],
    "out_of_scope": [],
    "characteristics": [],
    "agent_conduct": {
      "may": [
        "Explain vectors and scalars and perform vector calculations with stated frames and units.",
        "Check that results keep direction, sign convention and reference frame consistent."
      ],
      "must_not": [
        "Add magnitudes of vectors as if they were scalars in results others rely on.",
        "Mix reference frames or sign conventions without stating them.",
        "Present a pseudovector, such as angular momentum, as an ordinary vector where the difference matters.",
        "Hide uncertainty in calculated loads or forces used for safety decisions."
      ],
      "requires_human": [
        "Using vector results to sign off a design or safety calculation."
      ]
    },
    "ethics": {
      "considerations": [
        "Errors in force or velocity vectors can make structures, vehicles or flight paths unsafe.",
        "Teaching material should be accurate so learners are not misled."
      ],
      "affected_parties": [
        "Engineers and students",
        "People who depend on calculated designs"
      ]
    },
    "owners": {
      "steward": "Nobody owns the concept; it is held in common by physics and mathematics.",
      "master_systems": []
    }
  },
  "sources": [
    {
      "id": "wikidata",
      "title": "Wikidata item Q2672914: vector quantity",
      "url": "https://www.wikidata.org/wiki/Q2672914",
      "url_status": "live",
      "what_it_supports": "identity and sense of the item",
      "checked_by": "wikidata-api"
    },
    {
      "id": "wikipedia-en",
      "title": "Wikipedia: Vector quantity",
      "url": "https://en.wikipedia.org/wiki/Vector_quantity",
      "url_status": "live",
      "what_it_supports": "general description of the item",
      "checked_by": "wikidata-api sitelink"
    }
  ],
  "structure": {
    "bundles": [
      {
        "id": "identify",
        "name": "Identify",
        "description": "Vector or scalar.",
        "rationale": "Direction matters.",
        "layers": [
          {
            "id": "test",
            "name": "Test",
            "description": "Is it a vector.",
            "findings": [
              {
                "id": "test-finding",
                "name": "Test",
                "description": "Classification.",
                "questions": [
                  {
                    "text": "Does this quantity have a direction, and does it add as a vector?",
                    "kind": "boundary"
                  },
                  {
                    "text": "Is it a true vector or a pseudovector?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          },
          {
            "id": "examples",
            "name": "Examples",
            "description": "Common vectors.",
            "findings": [
              {
                "id": "examples-finding",
                "name": "Examples",
                "description": "Examples.",
                "questions": [
                  {
                    "text": "Which common quantities are vectors, and what are their scalar counterparts?",
                    "kind": "definition"
                  },
                  {
                    "text": "How is speed related to velocity?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "compute",
        "name": "Compute",
        "description": "Vector algebra.",
        "rationale": "Operations.",
        "layers": [
          {
            "id": "add",
            "name": "Add",
            "description": "Addition and components.",
            "findings": [
              {
                "id": "add-finding",
                "name": "Add",
                "description": "Addition.",
                "questions": [
                  {
                    "text": "What is the resultant of these vectors, and what are its components?",
                    "kind": "measurement"
                  },
                  {
                    "text": "How is a vector resolved along axes?",
                    "kind": "action"
                  }
                ]
              }
            ]
          },
          {
            "id": "products",
            "name": "Products",
            "description": "Dot and cross products.",
            "findings": [
              {
                "id": "products-finding",
                "name": "Products",
                "description": "Products.",
                "questions": [
                  {
                    "text": "What are the dot and cross products of these vectors, and what do they mean physically?",
                    "kind": "measurement"
                  },
                  {
                    "text": "When is each used?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "fields",
        "name": "Fields",
        "description": "Vector fields.",
        "rationale": "Vectors at every point.",
        "layers": [
          {
            "id": "field",
            "name": "Field",
            "description": "Fields.",
            "findings": [
              {
                "id": "field-finding",
                "name": "Field",
                "description": "Fields.",
                "questions": [
                  {
                    "text": "What is a vector field, and how are electric, magnetic and flow fields represented?",
                    "kind": "definition"
                  },
                  {
                    "text": "What do divergence and curl describe?",
                    "kind": "definition"
                  }
                ]
              }
            ]
          },
          {
            "id": "flux",
            "name": "Flux",
            "description": "Flux and current density.",
            "findings": [
              {
                "id": "flux-finding",
                "name": "Flux",
                "description": "Flux.",
                "questions": [
                  {
                    "text": "How are mass flow and current density defined as vectors?",
                    "kind": "definition"
                  },
                  {
                    "text": "How is flux through a surface computed?",
                    "kind": "measurement"
                  }
                ]
              }
            ]
          }
        ]
      },
      {
        "id": "teach",
        "name": "Teach",
        "description": "Learning vectors.",
        "rationale": "Intuition and rigour.",
        "layers": [
          {
            "id": "intuition",
            "name": "Intuition",
            "description": "Building intuition.",
            "findings": [
              {
                "id": "intuition-finding",
                "name": "Intuition",
                "description": "Intuition.",
                "questions": [
                  {
                    "text": "How can vectors be taught with arrows, motion and forces?",
                    "kind": "action"
                  },
                  {
                    "text": "Which misconceptions arise?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          },
          {
            "id": "notation",
            "name": "Notation",
            "description": "Conventions.",
            "findings": [
              {
                "id": "notation-finding",
                "name": "Notation",
                "description": "Notation.",
                "questions": [
                  {
                    "text": "Which notation conventions apply in this field?",
                    "kind": "provenance"
                  },
                  {
                    "text": "How are vectors written in text and code?",
                    "kind": "provenance"
                  }
                ]
              }
            ]
          }
        ]
      }
    ]
  },
  "openQuestions": [
    "Should vector fields be a separate entry?",
    "How should notation conventions be linked?",
    "How should teaching resources be linked?"
  ],
  "statistics": {
    "bundles": 4,
    "layers": 8,
    "findings": 8,
    "questions": 16
  }
}