Triple

T12026890
Position Surface form Disambiguated ID Type / Status
Subject noncommutative geometry E286300 entity
Predicate keyConcept P531 FINISHED
Object NCG spectral action
The NCG spectral action is a principle in noncommutative geometry that encodes the dynamics of physical fields and gravity through the spectrum of a Dirac-type operator, providing a geometric framework that unifies aspects of the Standard Model and general relativity.
E959828 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: NCG spectral action | Statement: [noncommutative geometry, keyConcept, NCG spectral action]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: NCG spectral action
Context triple: [noncommutative geometry, keyConcept, NCG spectral action]
  • A. Connes–Moscovici index theorem
    The Connes–Moscovici index theorem is a fundamental result in noncommutative geometry that generalizes the classical Atiyah–Singer index theorem to the setting of foliations and noncommutative spaces.
  • B. Noncommutative Geometry (1994 book)
    Noncommutative Geometry (1994 book) is Alain Connes’ foundational monograph that systematically develops the theory of noncommutative spaces and its applications to mathematics and theoretical physics.
  • C. Polyakov action
    The Polyakov action is a fundamental formulation of string theory that describes the dynamics of relativistic strings via a two-dimensional worldsheet embedded in spacetime.
  • D. Einstein–Hilbert action
    The Einstein–Hilbert action is the fundamental action in general relativity whose variation yields Einstein’s field equations, expressing gravity as the dynamics of spacetime curvature.
  • E. Noncommutative Geometry, Quantum Fields and Motives
    Noncommutative Geometry, Quantum Fields and Motives is a seminal work by Alain Connes that develops a deep interplay between noncommutative geometry, quantum field theory, and arithmetic geometry through the language of motives.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: NCG spectral action
Triple: [noncommutative geometry, keyConcept, NCG spectral action]
Generated description
The NCG spectral action is a principle in noncommutative geometry that encodes the dynamics of physical fields and gravity through the spectrum of a Dirac-type operator, providing a geometric framework that unifies aspects of the Standard Model and general relativity.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: NCG spectral action
Target entity description: The NCG spectral action is a principle in noncommutative geometry that encodes the dynamics of physical fields and gravity through the spectrum of a Dirac-type operator, providing a geometric framework that unifies aspects of the Standard Model and general relativity.
  • A. Connes–Moscovici index theorem
    The Connes–Moscovici index theorem is a fundamental result in noncommutative geometry that generalizes the classical Atiyah–Singer index theorem to the setting of foliations and noncommutative spaces.
  • B. Noncommutative Geometry (1994 book)
    Noncommutative Geometry (1994 book) is Alain Connes’ foundational monograph that systematically develops the theory of noncommutative spaces and its applications to mathematics and theoretical physics.
  • C. Polyakov action
    The Polyakov action is a fundamental formulation of string theory that describes the dynamics of relativistic strings via a two-dimensional worldsheet embedded in spacetime.
  • D. Einstein–Hilbert action
    The Einstein–Hilbert action is the fundamental action in general relativity whose variation yields Einstein’s field equations, expressing gravity as the dynamics of spacetime curvature.
  • E. Noncommutative Geometry, Quantum Fields and Motives
    Noncommutative Geometry, Quantum Fields and Motives is a seminal work by Alain Connes that develops a deep interplay between noncommutative geometry, quantum field theory, and arithmetic geometry through the language of motives.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d6ab4669e48190b59246358b0383ab completed April 8, 2026, 7:23 p.m.
NER Named-entity recognition batch_69d903f02638819091e0cc0e93fa5ea7 completed April 10, 2026, 2:06 p.m.
NED1 Entity disambiguation (via context triple) batch_69f48b8111b88190a42a8904a2d26862 completed May 1, 2026, 11:16 a.m.
NEDg Description generation batch_69f48fc7a8848190a06b34cc45db4789 completed May 1, 2026, 11:34 a.m.
NED2 Entity disambiguation (via description) batch_69f495f069c48190a6e5856c272420c0 completed May 1, 2026, noon
Created at: April 8, 2026, 9:47 p.m.