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.