{ "model": { "rank": 4177, "code": "thing-q161254", "model_id": "vr.tr.angular-momentum", "name": "angular momentum", "purpose": "Let an agent explain angular momentum in classical and quantum mechanics, relay definitions, conservation and examples from physics references, describe its role in astronomy and atoms, and distinguish orbital, spin and total angular momentum.", "family": "Thing Registry", "category": "Cross-cutting context", "status": "research-draft", "kind": "thing", "plane": "XCT", "domain": "XCT.QLT", "industry": "", "version": "", "url": "/models/thing/q161254/", "tier": 2, "score": 77, "payload": { "layer": "wikidata", "aliases": [ "total angular momentum", "orbital angular momentum", "Specific relative angular momentum" ], "aliasCount": 3, "merged": 3, "knownIn": 77, "facets": null, "markers": [], "lexicalClass": "", "senseRank": null, "alsoRegisteredAs": null, "source": { "dataset": "wikidata", "item": "Q161254", "url": "https://www.wikidata.org/wiki/Q161254", "license": "CC0 1.0" } }, "research": { "vercy": "1.0-draft", "publication": { "status": "research-draft", "adjudicationStatus": "unreviewed", "publishableCanonical": false, "generatedAt": "2026-09-13T02:44:35Z", "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": 3, "engine": "claude" }, "metaModel": { "id": "THING-Q161254", "registryId": "vr.tr.angular-momentum", "name": "angular momentum", "version": "0.2.0-wave.3", "entryKind": "thing", "family": "Thing Registry", "domain": [ "XCT.QLT" ], "status": "research-draft" }, "canonicalUrl": "https://ver.cy/models/thing/q161254/", "model": { "registry_id": "vr.tr.angular-momentum", "name": "angular momentum", "purpose": "Let an agent explain angular momentum in classical and quantum mechanics, relay definitions, conservation and examples from physics references, describe its role in astronomy and atoms, and distinguish orbital, spin and total angular momentum.", "definition": "The rotational analogue of linear momentum, a vector quantity equal to the cross product of position and momentum for a particle, or the product of moment of inertia and angular velocity for a rigid body, conserved in the absence of external torque, comprising orbital and spin contributions that combine as total angular momentum in classical and quantum mechanics, and used in orbital mechanics as specific relative angular momentum; angular momentum explains gyroscopes, planetary orbits, atomic structure and spinning skaters.", "what_it_is_for": "Not applicable; a physical quantity.", "affordances": [ "explain the concept", "relay conservation and examples", "describe astronomical and quantum roles", "distinguish kinds" ], "distinguishing_features": [ "Vector quantity", "Conservation law", "Quantisation", "Orbital and spin parts" ], "appearance": "Not a visible object; a vector along the rotation axis.", "visual_identification": [ "Rotational momentum", "Orbital, spin and total angular momentum; specific relative angular momentum", "Torque is its rate of change; moment of inertia is the mass analogue; angular velocity is the rate of rotation" ], "physical_properties": [ { "quantity": "SI unit", "typical_range": "kg m^2/s", "unit": "unit", "note": "" }, { "quantity": "reduced Planck constant", "typical_range": "1.054571817e-34", "unit": "J s", "note": "quantum unit of angular momentum" }, { "quantity": "classical formula", "typical_range": "L = r x p", "unit": "formula", "note": "" } ], "families_and_kinds": [ "orbital angular momentum of particles and bodies", "spin angular momentum", "total angular momentum", "angular momentum of rigid bodies", "specific relative angular momentum in orbital mechanics", "quantum angular momentum and its operators" ], "related_models": [ { "relation": "is a kind of", "target": "physical quantity", "why": "in registry terms" }, { "relation": "is a kind of", "target": "vector quantity", "why": "in registry terms" }, { "relation": "is a kind of", "target": "moment", "why": "in registry terms" }, { "relation": "is changed by", "target": "torque", "why": "as its time derivative" } ], "identifiers": [ { "scheme": "ISO 80000-4", "value_or_pattern": "angular momentum", "note": "mechanics quantities" } ], "standards_and_regulation": [ "ISO 80000 quantities and units", "No regulation" ], "failure_modes_and_hazards": [ "Confusing angular momentum with angular velocity or torque", "Ignoring frame and reference point dependence", "Misapplying classical intuition to quantum spin" ], "in_scope": [], "out_of_scope": [], "characteristics": [] }, "sources": [], "structure": { "bundles": [ { "id": "understand", "name": "Understand", "description": "What angular momentum is.", "rationale": "Science.", "layers": [ { "id": "definition", "name": "Definition", "description": "Definition.", "findings": [ { "id": "definition-finding", "name": "Definition", "description": "Definition.", "questions": [ { "text": "What is angular momentum, and how is it defined for particles and rigid bodies?", "kind": "definition" }, { "text": "Is the question about angular momentum, torque, angular velocity or moment of inertia?", "kind": "boundary" } ] } ] }, { "id": "conservation", "name": "Conservation", "description": "Conservation.", "findings": [ { "id": "conservation-finding", "name": "Conservation", "description": "Conservation.", "questions": [ { "text": "Why is angular momentum conserved, and how does that explain skaters, gyroscopes and orbits?", "kind": "definition" }, { "text": "Which entry fits the specific example?", "kind": "action" } ] } ] } ] }, { "id": "quantum", "name": "Quantum", "description": "Quantum angular momentum.", "rationale": "Science.", "layers": [ { "id": "quantisation", "name": "Quantisation", "description": "Quantisation.", "findings": [ { "id": "quantisation-finding", "name": "Quantisation", "description": "Quantisation.", "questions": [ { "text": "How is angular momentum quantised, and how do orbital, spin and total angular momentum combine?", "kind": "provenance" }, { "text": "Which references are standard?", "kind": "provenance" } ] } ] }, { "id": "atoms", "name": "Atoms", "description": "Atoms and particles.", "findings": [ { "id": "atoms-finding", "name": "Atoms", "description": "Atoms.", "questions": [ { "text": "How does angular momentum shape atomic structure, spectra and particle physics?", "kind": "provenance" }, { "text": "Which entry fits spin?", "kind": "action" } ] } ] } ] }, { "id": "apply", "name": "Apply", "description": "Applications.", "rationale": "Application.", "layers": [ { "id": "astronomy", "name": "Astronomy", "description": "Astronomy and orbits.", "findings": [ { "id": "astronomy-finding", "name": "Astronomy", "description": "Astronomy.", "questions": [ { "text": "How is specific relative angular momentum used in orbital mechanics, and how does angular momentum shape galaxies and planets?", "kind": "provenance" }, { "text": "Which sources are cited?", "kind": "provenance" } ] } ] }, { "id": "engineering", "name": "Engineering", "description": "Engineering.", "findings": [ { "id": "engineering-finding", "name": "Engineering", "description": "Engineering.", "questions": [ { "text": "How do gyroscopes, reaction wheels and turbines use angular momentum?", "kind": "provenance" }, { "text": "Which entry fits gyroscope?", "kind": "action" } ] } ] } ] }, { "id": "context", "name": "Context", "description": "History and teaching.", "rationale": "Context.", "layers": [ { "id": "history", "name": "History", "description": "History.", "findings": [ { "id": "history-finding", "name": "History", "description": "History.", "questions": [ { "text": "How did the concept develop from Kepler and Newton to Noether and quantum mechanics?", "kind": "provenance" }, { "text": "Which entry fits the history of mechanics?", "kind": "action" } ] } ] }, { "id": "teaching", "name": "Teaching", "description": "Teaching.", "findings": [ { "id": "teaching-finding", "name": "Teaching", "description": "Teaching.", "questions": [ { "text": "How is angular momentum taught, and what misconceptions arise?", "kind": "provenance" }, { "text": "Which entry fits physics education?", "kind": "action" } ] } ] } ] } ] }, "openQuestions": [ "Should spin and orbital angular momentum be separate entries?", "How should physics references be linked?", "How should orbital mechanics usage be recorded?" ], "statistics": { "bundles": 4, "layers": 8, "findings": 8, "questions": 16 } }, "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 momentum, record what state it is in, and decide what may be done with it.", "whatItIs": "Let an agent explain angular momentum in classical and quantum mechanics, relay definitions, conservation and examples from physics references, describe its role in astronomy and atoms, and distinguish orbital, spin and total angular momentum.", "characteristics": { "substance": "abstract", "origin": "conceptual", "agency": "inert" }, "whatYouCanDoWithIt": [ "observed and measured" ], "distinguishingFeatures": [ "Names folded into this entry, which a task may need to split apart again: total angular momentum, orbital angular momentum, Specific relative angular momentum.", "3 finer distinctions are held as aliases rather than separate entries, because telling them apart needs a task that asks for it.", "Described in 77 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 momentum, 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": [ { "relation": "covers", "note": "Finer kinds folded into this entry because telling them apart needs a task that asks for it. Each is a model waiting to be split out when one does.", "targets": [ "total angular momentum", "orbital angular momentum", "Specific relative angular momentum" ] } ], "standing": "Described in 77 Wikipedia languages, which measures how widely it is written about rather than how important or how common it is. 3 finer distinctions are held inside this entry as names rather than as separate models.", "structure": { "bundles": [ { "id": "identity-and-classification", "name": "Identity, naming and classification", "description": "How an agent tells one angular momentum from another, and a angular momentum 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 momentum, 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 momentum, 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 momentum 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 momentum, 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 momentum, 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 momentum 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 momentum 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 momentum, 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 momentum, 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 momentum 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 momentum from the things most often confused with it.", "questions": [ { "id": "distinguishing-features-q01", "text": "What identifies and describes what distinguishes a angular momentum, 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 momentum, 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 momentum 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 momentum 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 momentum between them.", "questions": [ { "id": "stages-and-transitions-q01", "text": "What identifies and describes the lifecycle of a angular momentum, 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 momentum, 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 momentum 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 momentum, how often and by whom.", "findings": [ { "id": "observation-record", "name": "Observation record", "description": "How an observation of a angular momentum 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 momentum, 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 momentum, 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 momentum 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 momentum 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 momentum 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 momentum 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 momentum 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 momentum?", "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 momentum?", "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 momentum 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 momentum and how confident it is.", "questions": [ { "id": "claim-provenance-q01", "text": "What identifies and describes a claim about a angular momentum, 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 momentum, 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 momentum 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 momentum is retired without being erased.", "questions": [ { "id": "validity-and-supersession-q01", "text": "What identifies and describes the validity of a claim about a angular momentum, 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 momentum, 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 momentum 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 } } } }