{
    "model": {
        "rank": 4517,
        "code": "thing-q161635",
        "model_id": "vr.tr.angular-velocity",
        "name": "angular velocity",
        "purpose": "Enable an agent to identify, compare, and use angular velocity while preserving the rotating subject, reference frame, axis conventions, and measurement limits.",
        "family": "Thing Registry",
        "category": "Cross-cutting context",
        "status": "research-draft",
        "kind": "thing",
        "plane": "XCT",
        "domain": "XCT.QLT",
        "industry": "",
        "version": "",
        "url": "/models/thing/q161635/",
        "tier": 2,
        "score": 74,
        "payload": {
            "layer": "wikidata",
            "aliases": [],
            "aliasCount": 0,
            "merged": 0,
            "knownIn": 74,
            "facets": null,
            "markers": [],
            "lexicalClass": "",
            "senseRank": null,
            "alsoRegisteredAs": null,
            "source": {
                "dataset": "wikidata",
                "item": "Q161635",
                "url": "https://www.wikidata.org/wiki/Q161635",
                "license": "CC0 1.0"
            }
        },
        "research": {
            "vercy": "1.0-draft",
            "publication": {
                "status": "research-draft",
                "adjudicationStatus": "unreviewed",
                "publishableCanonical": false,
                "generatedAt": "2026-09-09T20:24:31Z",
                "providers": [
                    "Codex"
                ],
                "breadth": "recalled by Codex without web access - no source was read",
                "missingProviders": [],
                "pass": 2,
                "cost": {
                    "grok": {
                        "seconds": 21.7,
                        "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a087d7-05fa-7960-ad85-b57b4aeb517e\n--------\nuser\nDescribe what is already known about one registered thing. Answer as JSON only, no prose around it.\n\nThing: angular velocity\nSense to describe: (none recorded)\nDomain code: XCT.QLT\nAlso known as: (none)\n\n\nContext for this batch of 1001 things:\n# Batch 005: 100",
                        "usd": 0,
                        "recall": true
                    },
                    "codex": {
                        "seconds": 60.9,
                        "error": "Reading additional input from stdin...\nOpenAI Codex v0.153.4\n--------\nworkdir: R:\\02_PROJECTS\\02_Meta_Models_Platforms\\Ver.cy\\current\\thing-registry-backlog\nmodel: gpt-6-astra\nprovider: openai\napproval: never\nsandbox: read-only\nreasoning effort: none\nreasoning summaries: none\nsession id: 01a087d7-05b5-7ce2-8d12-99fcc773e43d\n--------\nuser\nYou are drafting a Vercy meta-model for one registered thing. Answer as JSON only, no prose around it.\n\nThing: angular velocity\nRegistry id: vr.tr.angular-velocity\nPlane / domain: XCT / XCT.QLT\nRegistry definition: (none recorded)\nNames folded into this entry:"
                    }
                }
            },
            "metaModel": {
                "id": "THING-Q161635",
                "registryId": "vr.tr.angular-velocity",
                "name": "angular velocity",
                "version": "0.1.0-research.1",
                "entryKind": "thing",
                "family": "Thing Registry",
                "domain": [
                    "XCT.QLT"
                ],
                "status": "research-draft"
            },
            "canonicalUrl": "https://ver.cy/models/thing/q161635/",
            "model": {
                "registry_id": "vr.tr.angular-velocity",
                "name": "angular velocity",
                "purpose": "Enable an agent to identify, compare, and use angular velocity while preserving the rotating subject, reference frame, axis conventions, and measurement limits.",
                "definition": "Angular velocity is the instantaneous rate of rotation relative to a specified reference frame, represented in three dimensions by an axial vector whose direction specifies the instantaneous rotation axis by the right-hand rule and whose magnitude gives the angular speed.",
                "scope_statement": "This model owns angular velocity as a classical kinematic quantity describing the instantaneous rate and direction of rotation relative to a specified frame, including signed fixed-axis rates, rigid-body angular-velocity vectors, and explicitly qualified orbital rates.",
                "in_scope": [
                    "Instantaneous angular velocity and interval-based estimates of rotational rate",
                    "Rotating subject, reference frame, axis, and positive-direction conventions",
                    "Signed fixed-axis rates and three-dimensional axial-vector representations",
                    "Measurement, estimation, uncertainty, sampling, and angle unwrapping",
                    "Relations to orientation change, tangential velocity, and angular acceleration"
                ],
                "out_of_scope": [
                    "Orientation and angular displacement as quantities in their own right",
                    "Angular acceleration as an independently modelled quantity",
                    "Torque, moment of inertia, angular momentum, and rotational dynamics",
                    "Gyroscopes, encoders, and other sensing devices as physical things",
                    "Oscillator phase and angular frequency without an established spatial-rotation interpretation"
                ],
                "distinguishing_features": [
                    "Angular velocity describes a rate of rotation; an orientation or angular displacement alone does not establish that rate.",
                    "Signed angular velocity or an angular-velocity vector specifies direction; angular speed is its nonnegative magnitude.",
                    "For a fixed axis, angular velocity is dθ/dt using a declared positive sense; in general three-dimensional motion, Euler-angle derivatives are not directly its vector components.",
                    "For a rigid body, points share an instantaneous angular-velocity vector even though their linear velocities differ with position.",
                    "An angular frequency expressed in rad/s qualifies as spatial angular velocity only when its phase is tied to a specified physical rotation."
                ],
                "characteristics": [
                    {
                        "name": "Rotating subject and interpretation",
                        "kind": "category",
                        "unit_or_values": "rigid-body rotation | fixed-axis rotation | orbital direction change | local continuum rotation",
                        "why_it_matters": "Determines what rotates and whether one angular-velocity vector can describe the subject."
                    },
                    {
                        "name": "Reference frame and origin",
                        "kind": "relation",
                        "unit_or_values": "identified observation frame; origin or centre where relevant",
                        "why_it_matters": "Rotation rates depend on the observation frame, and orbital angular rates also depend on the chosen origin."
                    },
                    {
                        "name": "Angular-velocity value",
                        "kind": "measurement",
                        "unit_or_values": "rad/s; signed scalar for a declared axis or axial vector in a declared basis",
                        "why_it_matters": "Provides the rate and direction needed for comparison and kinematic calculations."
                    },
                    {
                        "name": "Reported rate unit",
                        "kind": "category",
                        "unit_or_values": "rad/s | degree/s | revolution/s | revolution/min",
                        "why_it_matters": "Prevents missing factors of 2π, 360, or 60 during conversion."
                    },
                    {
                        "name": "Axis and handedness convention",
                        "kind": "relation",
                        "unit_or_values": "axis direction, coordinate handedness, and positive rotation rule",
                        "why_it_matters": "Makes signs and vector components interpretable; the axis direction is undefined at zero angular speed."
                    },
                    {
                        "name": "Temporal interpretation",
                        "kind": "category",
                        "unit_or_values": "instantaneous value | sampled estimate | interval average, with timestamp or interval",
                        "why_it_matters": "Distinguishes a local rate from an average that may conceal reversals or variation."
                    },
                    {
                        "name": "Estimation uncertainty",
                        "kind": "measurement",
                        "unit_or_values": "scalar uncertainty in rad/s or component covariance in (rad/s)², with stated interpretation",
                        "why_it_matters": "Supports decisions about whether differences and threshold crossings are meaningful."
                    },
                    {
                        "name": "Estimate validity",
                        "kind": "state",
                        "unit_or_values": "usable | ambiguous revolution count | saturated | near coordinate singularity | insufficient temporal resolution",
                        "why_it_matters": "Separates a numeric output from an estimate suitable for a proposed action."
                    }
                ],
                "affordances": [
                    "Normalize rotational-rate units while retaining axis, sign, and frame conventions.",
                    "Estimate angular velocity from time-resolved orientation or calibrated rate measurements.",
                    "Compare rates after reconciling reference frames, component bases, timestamps, and uncertainty.",
                    "Calculate the rotational contribution to point velocity using v = ω × r under stated rigid-body assumptions.",
                    "Propagate orientation over a time interval using a suitable rotation representation and rate history.",
                    "Flag aliasing, sensor saturation, ambiguous direction, or unsupported assumptions before using a rate in control or prediction."
                ]
            },
            "sources": [],
            "structure": {
                "bundles": [
                    {
                        "id": "rotation-subject-and-boundaries",
                        "name": "Rotation subject and boundaries",
                        "description": "Establishes which rotation the quantity describes and separates it from neighbouring rate concepts.",
                        "rationale": "The same unit can describe body rotation, orbital direction change, or phase evolution without those quantities being interchangeable.",
                        "layers": [
                            {
                                "id": "physical-rotation-subject",
                                "name": "Physical rotation subject",
                                "description": "Identifies the body, axis, or position direction whose rotation is being described.",
                                "findings": [
                                    {
                                        "id": "body-spin-versus-orbital-rate",
                                        "name": "Body spin versus orbital rate",
                                        "description": "A body's change of orientation and the rotation of its position direction about an origin are distinct quantities and can coexist.",
                                        "questions": [
                                            {
                                                "text": "Does the value describe body orientation, rotation about a constrained axis, or the changing direction of a position vector?",
                                                "kind": "definition",
                                                "id": "body-spin-versus-orbital-rate-q01"
                                            },
                                            {
                                                "text": "If it is an orbital rate, which origin and plane or spatial-direction convention define it?",
                                                "kind": "boundary",
                                                "id": "body-spin-versus-orbital-rate-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "neighbouring-quantities",
                                "name": "Neighbouring quantities",
                                "description": "Distinguishes angular velocity from magnitude-only and phase-based quantities.",
                                "findings": [
                                    {
                                        "id": "speed-frequency-and-velocity",
                                        "name": "Speed, frequency, and velocity",
                                        "description": "Angular speed omits direction, while a phase rate needs an explicit mapping to spatial rotation before it can be treated as angular velocity.",
                                        "questions": [
                                            {
                                                "text": "Does the reported value retain rotational direction, or is it only a nonnegative angular speed?",
                                                "kind": "definition",
                                                "id": "speed-frequency-and-velocity-q01"
                                            },
                                            {
                                                "text": "If the value comes from a periodic signal, what establishes the number of signal cycles per physical revolution?",
                                                "kind": "provenance",
                                                "id": "speed-frequency-and-velocity-q02"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "frames-axes-and-representations",
                        "name": "Frames, axes, and representations",
                        "description": "Makes the rate's direction and coordinate expression unambiguous.",
                        "rationale": "An otherwise accurate angular-velocity value can be misused when its observation frame, expression basis, or rotation convention is missing.",
                        "layers": [
                            {
                                "id": "relative-motion-and-components",
                                "name": "Relative motion and components",
                                "description": "Separates the frame relative to which rotation occurs from the basis used to express components.",
                                "findings": [
                                    {
                                        "id": "reference-frame-versus-expression-basis",
                                        "name": "Reference frame versus expression basis",
                                        "description": "Expressing one angular velocity in another basis changes its components; measuring rotation relative to another rotating frame changes the relative angular velocity.",
                                        "questions": [
                                            {
                                                "text": "Relative to which frame is the subject rotating, and in which basis are the reported components expressed?",
                                                "kind": "definition",
                                                "id": "reference-frame-versus-expression-basis-q01"
                                            },
                                            {
                                                "text": "Before comparing two values, is a basis transformation sufficient, or must the relative motion of their reference frames also be included?",
                                                "kind": "action",
                                                "id": "reference-frame-versus-expression-basis-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "scalar-and-vector-conventions",
                                "name": "Scalar and vector conventions",
                                "description": "Records the conventions needed to interpret fixed-axis scalars and spatial axial vectors.",
                                "findings": [
                                    {
                                        "id": "orientation-derivatives-need-conventions",
                                        "name": "Orientation derivatives need conventions",
                                        "description": "A fixed-axis angle derivative defines a signed rate, but Euler-angle and quaternion derivatives require their declared conventions to recover angular velocity.",
                                        "questions": [
                                            {
                                                "text": "Which axis direction, coordinate handedness, and positive rotation rule determine the sign?",
                                                "kind": "definition",
                                                "id": "orientation-derivatives-need-conventions-q01"
                                            },
                                            {
                                                "text": "If angular velocity is derived from Euler angles or quaternions, which rotation sequence, multiplication convention, and component frame are used?",
                                                "kind": "measurement",
                                                "id": "orientation-derivatives-need-conventions-q02"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "time-resolution-and-measurement",
                        "name": "Time resolution and measurement",
                        "description": "Connects reported values to observations, temporal support, and estimation limits.",
                        "rationale": "Sampled rotation can hide complete revolutions, reversals, or rapid variation, making a plausible rate numerically wrong.",
                        "layers": [
                            {
                                "id": "instantaneous-and-averaged-rates",
                                "name": "Instantaneous and averaged rates",
                                "description": "Records whether a value is a local derivative or an interval-dependent estimate.",
                                "findings": [
                                    {
                                        "id": "averages-require-temporal-support",
                                        "name": "Averages require temporal support",
                                        "description": "For a fixed axis, unwrapped angular displacement divided by elapsed time gives average signed angular velocity; it does not generally give average angular speed when direction reverses.",
                                        "questions": [
                                            {
                                                "text": "What timestamp or averaging interval does the rate represent, and how was that temporal support chosen?",
                                                "kind": "measurement",
                                                "id": "averages-require-temporal-support-q01"
                                            },
                                            {
                                                "text": "Could reversals or unresolved axis changes make the reported average unsuitable for the intended calculation?",
                                                "kind": "boundary",
                                                "id": "averages-require-temporal-support-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "observability-and-error",
                                "name": "Observability and error",
                                "description": "Captures the evidence and limits behind sensor-based or orientation-derived estimates.",
                                "findings": [
                                    {
                                        "id": "sampling-and-sensor-limits",
                                        "name": "Sampling and sensor limits",
                                        "description": "Modulo-angle observations can admit multiple revolution counts, while rate sensors can introduce bias, noise, scale error, and saturation.",
                                        "questions": [
                                            {
                                                "text": "What observations, calibration, timestamps, and filtering produced the estimate and its uncertainty?",
                                                "kind": "provenance",
                                                "id": "sampling-and-sensor-limits-q01"
                                            },
                                            {
                                                "text": "What sampling-rate and motion bounds support the chosen angle unwrapping or exclude unresolved revolutions?",
                                                "kind": "measurement",
                                                "id": "sampling-and-sensor-limits-q02"
                                            },
                                            {
                                                "text": "Do saturation, bias, or unresolved motion require withholding the estimate from its proposed use?",
                                                "kind": "action",
                                                "id": "sampling-and-sensor-limits-q03"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "kinematic-use-and-validity",
                        "name": "Kinematic use and validity",
                        "description": "Defines which calculations angular velocity supports and the assumptions each calculation needs.",
                        "rationale": "Using a rate to infer point motion or future orientation requires more information than the rate value alone.",
                        "layers": [
                            {
                                "id": "point-motion-and-rigidity",
                                "name": "Point motion and rigidity",
                                "description": "Relates angular velocity to spatial velocities without assuming every moving subject is rigid.",
                                "findings": [
                                    {
                                        "id": "rigid-body-velocity-field",
                                        "name": "Rigid-body velocity field",
                                        "description": "For points fixed in a rigid body, vP = vO + ω × rOP when all quantities use compatible frames; one body's common angular velocity does not imply equal point speeds.",
                                        "questions": [
                                            {
                                                "text": "Is the subject sufficiently rigid over the relevant interval for one angular-velocity vector to describe its motion?",
                                                "kind": "boundary",
                                                "id": "rigid-body-velocity-field-q01"
                                            },
                                            {
                                                "text": "Which reference-point velocity and displacement vector are available to calculate the requested point velocity?",
                                                "kind": "action",
                                                "id": "rigid-body-velocity-field-q02"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "orientation-evolution",
                                "name": "Orientation evolution",
                                "description": "Supports prediction and differentiation while respecting changing axes and frame conventions.",
                                "findings": [
                                    {
                                        "id": "spatial-rotation-integration",
                                        "name": "Spatial rotation integration",
                                        "description": "General orientation propagation requires an initial orientation and a convention-consistent integration of angular velocity; rotations about changing axes cannot generally be accumulated as ordinary angle-vector sums.",
                                        "questions": [
                                            {
                                                "text": "What initial orientation, rate history, expression frame, and numerical method define the predicted orientation?",
                                                "kind": "action",
                                                "id": "spatial-rotation-integration-q01"
                                            },
                                            {
                                                "text": "If angular acceleration is inferred from changing components, how is rotation of the component basis accounted for?",
                                                "kind": "measurement",
                                                "id": "spatial-rotation-integration-q02"
                                            },
                                            {
                                                "text": "Over what prediction interval do rate variation and uncertainty remain acceptable for the intended use?",
                                                "kind": "boundary",
                                                "id": "spatial-rotation-integration-q03"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "evidence-and-external-alignment",
                        "name": "Evidence and external alignment",
                        "description": "What the world already says about this thing, gathered so the model can be checked against it.",
                        "rationale": "A model that cannot be lined up against existing standards, identifiers and practice cannot be adopted by anyone who already uses them.",
                        "layers": [
                            {
                                "id": "reported-evidence",
                                "name": "Reported evidence",
                                "description": "Findings from the breadth pass, kept separate from the structural claims.",
                                "findings": [
                                    {
                                        "id": "evidence-confidence-notes",
                                        "name": "Check these first",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "This describes the classical mechanics quantity; no registry-specific sense was supplied.",
                                            "In three dimensions, finite rotations cannot generally be treated as additive vectors; angular velocity is not simply the derivative of three independent orientation angles.",
                                            "Standards are recalled rather than checked; edition-specific wording and application-specific operating ranges require verification."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-confidence-notes-q01",
                                                "text": "Which of these check these first hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-kinds",
                                        "name": "Kinds and varieties",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "Mean angular velocity for rotation about a fixed axis",
                                            "Instantaneous angular velocity",
                                            "Signed angular velocity in planar rotation",
                                            "Angular velocity vector in three-dimensional rotation"
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-kinds-q01",
                                                "text": "Which of these kinds and varieties hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-identifiers",
                                        "name": "Identifiers and schemes",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            {
                                                "scheme": "Conventional quantity symbol",
                                                "value_or_pattern": "ω",
                                                "note": "Lowercase omega, with vector notation when appropriate; this is a symbol rather than a unique identifier."
                                            }
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-identifiers-q01",
                                                "text": "Which of these identifiers and schemes hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-standards-and-regulation",
                                        "name": "Standards and regulation",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "The BIPM SI Brochure specifies radian per second (rad/s) as the coherent SI unit of angular velocity.",
                                            "ISO 80000-3, issued by ISO, covers quantities and units for space and time, including angular velocity."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-standards-and-regulation-q01",
                                                "text": "Which of these standards and regulation hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-real-world-use",
                                        "name": "Real-world use",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "Controlling motor, turbine and spindle rotation.",
                                            "Estimating vehicle and aircraft attitude using gyroscopes.",
                                            "Describing joint and rigid-body motion in robotics and biomechanics.",
                                            "Relating rotation to tangential velocity in rotating machinery.",
                                            "Describing planetary rotation and orbital angular motion."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-real-world-use-q01",
                                                "text": "Which of these real-world use hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-measurements",
                                        "name": "Typical measurements",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            {
                                                "quantity": "Angular velocity",
                                                "typical_range": "No universal typical range; signed fixed-axis values can be positive, zero or negative.",
                                                "unit": "rad/s"
                                            },
                                            {
                                                "quantity": "Shaft rotation rate expressed as revolutions per minute",
                                                "typical_range": "Application-dependent; 60 rpm corresponds to an angular speed of 2π rad/s.",
                                                "unit": "rpm"
                                            }
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-measurements-q01",
                                                "text": "Which of these typical measurements hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-failure-modes-and-hazards",
                                        "name": "Failure modes and hazards",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            "Confusing rad/s, revolutions per second and rpm introduces factors of 2π or 60.",
                                            "Differentiating a wrapped angle without accounting for wraparound creates spurious velocity spikes.",
                                            "Gyroscope bias, noise and saturation can corrupt angular-velocity estimates and produce attitude drift when integrated.",
                                            "Treating Euler-angle derivatives as angular-velocity vector components gives incorrect results in general.",
                                            "Incorrect estimates or control of machinery speed can allow overspeed, causing component failure and injury."
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-failure-modes-and-hazards-q01",
                                                "text": "Which of these failure modes and hazards hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    },
                                    {
                                        "id": "evidence-neighbours",
                                        "name": "Neighbouring kinds and how to tell them apart",
                                        "description": "Recalled without web access and unsourced; every item is a lead to verify.",
                                        "evidence": [
                                            {
                                                "name": "Angular speed",
                                                "difference": "Angular speed is the nonnegative magnitude of angular velocity and does not specify rotation direction."
                                            },
                                            {
                                                "name": "Angular acceleration",
                                                "difference": "Angular acceleration measures the time rate of change of angular velocity."
                                            },
                                            {
                                                "name": "Angular displacement",
                                                "difference": "Angular displacement describes a change in orientation; angular velocity describes its instantaneous rate."
                                            },
                                            {
                                                "name": "Angular frequency",
                                                "difference": "Angular frequency describes the rate of phase progression in periodic motion, which need not involve physical rotation."
                                            },
                                            {
                                                "name": "Tangential velocity",
                                                "difference": "Tangential velocity measures linear motion; for rigid rotation relative to a point on the axis, v = ω × r."
                                            },
                                            {
                                                "name": "Angular momentum",
                                                "difference": "Angular momentum depends on mass distribution and motion; angular velocity describes rotation kinematically."
                                            }
                                        ],
                                        "questions": [
                                            {
                                                "id": "evidence-neighbours-q01",
                                                "text": "Which of these neighbouring kinds and how to tell them apart hold for the sense of angular velocity this model covers, and on what evidence?",
                                                "kind": "provenance"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    }
                ]
            },
            "openQuestions": [
                "Should local continuum angular velocity be included here through the classical half-vorticity convention, and how should independent microrotation theories be distinguished?",
                "Which authoritative sources and notation conventions should ground the published definition and its frame-transformation rules?",
                "Should three-dimensional orbital angular velocity adopt the minimal perpendicular vector r × v / |r|² explicitly, given that the position-direction evolution alone does not determine a component parallel to r?",
                "Which application-specific uncertainty, sampling, and latency limits should govern whether an angular-velocity estimate is usable for control or prediction?"
            ],
            "statistics": {
                "bundles": 5,
                "layers": 9,
                "findings": 16,
                "questions": 26
            }
        },
        "draft": {
            "generator": "vr.draft.v3",
            "status": "draft-generated",
            "researched": false,
            "archetype": "abstract concept",
            "method": "Written from the archetype playbook - what this kind of thing needs beyond identity and provenance - and from the structure that recurred across 6,333 models already researched by two engines. Applied to this entry by rule. No source was read for this thing and no claim here is researched. This entry carries no facets of its own, so they were inferred from its domain - a guess about a whole domain applied to one thing.",
            "facetsInferred": true,
            "nextPass": "A researcher replaces this draft with a sourced specification. Treat every sentence below as a proposal to argue with.",
            "purpose": "Give an agent a durable, checkable way to recognise a angular velocity, record what state it is in, and decide what may be done with it.",
            "whatItIs": "Enable an agent to identify, compare, and use angular velocity while preserving the rotating subject, reference frame, axis conventions, and measurement limits.",
            "characteristics": {
                "substance": "abstract",
                "origin": "conceptual",
                "agency": "inert"
            },
            "whatYouCanDoWithIt": [
                "observed and measured"
            ],
            "distinguishingFeatures": [
                "Described in 74 Wikipedia languages, which is a measure of how widely the thing is known, not of how important it is."
            ],
            "openQuestionsForResearch": [
                "Which of the bundles below does a real task actually need, and which are ceremony?",
                "What does this thing have that the facets do not capture at all?",
                "Which neighbouring kind is most often confused with a angular velocity, and on what evidence are they told apart?"
            ],
            "whatItIsMadeOf": "an abstraction with no physical instance",
            "physicalCharacter": [
                "Does nothing on its own; everything it does, something else did to it.",
                "These come from the domain this entry sits in rather than from the entry itself, so treat them as a first guess about the whole domain applied to one thing."
            ],
            "whatCanBeDoneWithIt": [
                "observe it, measure it, record its state"
            ],
            "howItIsRecognised": [
                "Nothing to see. What is recognised is an instance of it, and which instances count is exactly what is argued about."
            ],
            "relatedModels": [],
            "standing": "Described in 74 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is.",
            "structure": {
                "bundles": [
                    {
                        "id": "identity-and-classification",
                        "name": "Identity, naming and classification",
                        "description": "How an agent tells one angular velocity from another, and a angular velocity from things that resemble it.",
                        "rationale": "Recognition comes before every other claim. Without stable identity nothing else in the model can be trusted to be about the same thing twice.",
                        "layers": [
                            {
                                "id": "naming-and-identifiers",
                                "name": "Names and identifiers",
                                "description": "The names this thing goes by and the identifiers that survive translation and time.",
                                "findings": [
                                    {
                                        "id": "preferred-name-and-aliases",
                                        "name": "Preferred name, aliases and local names",
                                        "description": "Which name to use, which names mean the same thing, and which merely sound similar.",
                                        "questions": [
                                            {
                                                "id": "preferred-name-and-aliases-q01",
                                                "text": "What identifies and describes the name of a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "preferred-name-and-aliases-q02",
                                                "text": "Who or what asserted this about the name of a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "preferred-name-and-aliases-q03",
                                                "text": "What may an agent decide or do once the name of a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    },
                                    {
                                        "id": "stable-identifiers",
                                        "name": "Stable identifiers and external keys",
                                        "description": "Identifiers that keep pointing at this kind of thing across systems and languages.",
                                        "questions": [
                                            {
                                                "id": "stable-identifiers-q01",
                                                "text": "What identifies and describes an identifier for a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "stable-identifiers-q02",
                                                "text": "Who or what asserted this about an identifier for a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "stable-identifiers-q03",
                                                "text": "What may an agent decide or do once an identifier for a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "classification-and-granularity",
                                "name": "Classification and granularity",
                                "description": "Where a angular velocity sits among kinds, and how finely a task needs to cut it.",
                                "findings": [
                                    {
                                        "id": "kind-and-parents",
                                        "name": "Kind, parents and neighbouring kinds",
                                        "description": "The classes this thing belongs to and the ones it is next to.",
                                        "questions": [
                                            {
                                                "id": "kind-and-parents-q01",
                                                "text": "What identifies and describes the kind of a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "kind-and-parents-q02",
                                                "text": "Who or what asserted this about the kind of a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "kind-and-parents-q03",
                                                "text": "What may an agent decide or do once the kind of a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    },
                                    {
                                        "id": "distinguishing-features",
                                        "name": "Distinguishing features",
                                        "description": "What separates a angular velocity from the things most often confused with it.",
                                        "questions": [
                                            {
                                                "id": "distinguishing-features-q01",
                                                "text": "What identifies and describes what distinguishes a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "distinguishing-features-q02",
                                                "text": "Who or what asserted this about what distinguishes a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "distinguishing-features-q03",
                                                "text": "What may an agent decide or do once what distinguishes a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "state-and-lifecycle",
                        "name": "State and lifecycle",
                        "description": "The states a angular velocity passes through and the events that move it between them.",
                        "rationale": "Most decisions about a thing depend on what state it is in now, which is a claim with a time on it, not a property.",
                        "layers": [
                            {
                                "id": "lifecycle-stages",
                                "name": "Lifecycle stages",
                                "description": "From coming into existence to ceasing to be one of these.",
                                "findings": [
                                    {
                                        "id": "stages-and-transitions",
                                        "name": "Stages and transitions",
                                        "description": "The stages worth naming and what moves a angular velocity between them.",
                                        "questions": [
                                            {
                                                "id": "stages-and-transitions-q01",
                                                "text": "What identifies and describes the lifecycle of a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "stages-and-transitions-q02",
                                                "text": "Who or what asserted this about the lifecycle of a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "stages-and-transitions-q03",
                                                "text": "What may an agent decide or do once the lifecycle of a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "observations-and-status",
                                "name": "Observations and current status",
                                "description": "What is observed about a angular velocity, how often and by whom.",
                                "findings": [
                                    {
                                        "id": "observation-record",
                                        "name": "Observation record",
                                        "description": "How an observation of a angular velocity is recorded so that it can be superseded rather than overwritten.",
                                        "questions": [
                                            {
                                                "id": "observation-record-q01",
                                                "text": "What identifies and describes an observation of a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "observation-record-q02",
                                                "text": "Who or what asserted this about an observation of a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "observation-record-q03",
                                                "text": "What may an agent decide or do once an observation of a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "definitions-in-contest",
                        "name": "Definitions and who holds them",
                        "description": "What angular velocity is taken to mean, and by whom.",
                        "rationale": "When a field disagrees about a concept, the disagreement is the content. A model that picks one definition silently destroys the information.",
                        "layers": [
                            {
                                "id": "competing-definitions",
                                "name": "Competing definitions",
                                "description": "The main readings and the traditions behind them.",
                                "findings": [
                                    {
                                        "id": "definition-map",
                                        "name": "Definitions and their holders",
                                        "description": "Each definition with the school or body that holds it.",
                                        "questions": [
                                            {
                                                "id": "definition-map-q01",
                                                "text": "Which definitions of angular velocity are in use, and which tradition or body holds each?",
                                                "kind": "definition"
                                            },
                                            {
                                                "id": "definition-map-q02",
                                                "text": "What turns on the difference between them in practice?",
                                                "kind": "boundary"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "operationalisation",
                                "name": "Operationalisation",
                                "description": "How it is measured or applied when it has to be.",
                                "findings": [
                                    {
                                        "id": "operational-record",
                                        "name": "Measures and proxies",
                                        "description": "Instruments and indicators used to stand in for it.",
                                        "questions": [
                                            {
                                                "id": "operational-record-q01",
                                                "text": "How is angular velocity operationalised or measured in practice, and by what instrument?",
                                                "kind": "measurement"
                                            },
                                            {
                                                "id": "operational-record-q02",
                                                "text": "What does that operationalisation leave out, and when does that matter?",
                                                "kind": "boundary"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "instances-and-use",
                        "name": "Instances, use and consequence",
                        "description": "What counts as an instance of angular velocity and what follows from calling something that.",
                        "rationale": "Applying a concept is an act with consequences, so a model must say what the label licenses and what it does not.",
                        "layers": [
                            {
                                "id": "instances",
                                "name": "What counts as an instance",
                                "description": "Clear cases, borderline cases and non-cases.",
                                "findings": [
                                    {
                                        "id": "instance-tests",
                                        "name": "Tests for an instance",
                                        "description": "What would settle whether something falls under it.",
                                        "questions": [
                                            {
                                                "id": "instance-tests-q01",
                                                "text": "What would settle whether something is an instance of angular velocity?",
                                                "kind": "boundary"
                                            },
                                            {
                                                "id": "instance-tests-q02",
                                                "text": "Which borderline cases are argued about, and on what grounds?",
                                                "kind": "definition"
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "consequence",
                                "name": "Consequence of application",
                                "description": "Rights, duties or decisions that follow from the label.",
                                "findings": [
                                    {
                                        "id": "consequence-record",
                                        "name": "What the label licenses",
                                        "description": "What an agent may do once something is classified this way.",
                                        "questions": [
                                            {
                                                "id": "consequence-record-q01",
                                                "text": "What follows practically once something is treated as angular velocity?",
                                                "kind": "action"
                                            },
                                            {
                                                "id": "consequence-record-q02",
                                                "text": "What must an agent not infer from the label alone?",
                                                "kind": "action"
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    },
                    {
                        "id": "provenance-and-evidence",
                        "name": "Provenance, evidence and time",
                        "description": "Where every claim about a angular velocity came from and when it held.",
                        "rationale": "A claim without a source and a time cannot be superseded, only overwritten, and an agent that overwrites loses the ability to explain itself.",
                        "layers": [
                            {
                                "id": "source-and-authority",
                                "name": "Source and authority",
                                "description": "Who said it, on what evidence, and how strongly.",
                                "findings": [
                                    {
                                        "id": "claim-provenance",
                                        "name": "Claim provenance and confidence",
                                        "description": "The authority behind each claim about a angular velocity and how confident it is.",
                                        "questions": [
                                            {
                                                "id": "claim-provenance-q01",
                                                "text": "What identifies and describes a claim about a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "claim-provenance-q02",
                                                "text": "Who or what asserted this about a claim about a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "claim-provenance-q03",
                                                "text": "What may an agent decide or do once a claim about a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            },
                            {
                                "id": "time-and-versions",
                                "name": "Time, versions and supersession",
                                "description": "When a claim was true, when it was learnt, and what replaced it.",
                                "findings": [
                                    {
                                        "id": "validity-and-supersession",
                                        "name": "Validity period and supersession",
                                        "description": "How an old claim about a angular velocity is retired without being erased.",
                                        "questions": [
                                            {
                                                "id": "validity-and-supersession-q01",
                                                "text": "What identifies and describes the validity of a claim about a angular velocity, and in what units or vocabulary?",
                                                "kind": "definition",
                                                "answer_data": [
                                                    "identifiers",
                                                    "types and classes",
                                                    "values with units",
                                                    "explicit unknowns"
                                                ]
                                            },
                                            {
                                                "id": "validity-and-supersession-q02",
                                                "text": "Who or what asserted this about the validity of a claim about a angular velocity, by which method, and when was it true?",
                                                "kind": "provenance",
                                                "answer_data": [
                                                    "authority",
                                                    "method",
                                                    "evidence",
                                                    "event time",
                                                    "knowledge time"
                                                ]
                                            },
                                            {
                                                "id": "validity-and-supersession-q03",
                                                "text": "What may an agent decide or do once the validity of a claim about a angular velocity is known, and what must it refuse?",
                                                "kind": "action",
                                                "answer_data": [
                                                    "permitted actions",
                                                    "preconditions",
                                                    "refusals",
                                                    "escalation"
                                                ]
                                            }
                                        ]
                                    }
                                ]
                            }
                        ]
                    }
                ]
            },
            "statistics": {
                "bundles": 5,
                "layers": 10,
                "findings": 12,
                "questions": 32
            }
        }
    }
}