Triple
T909779
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Werner Heisenberg |
E19631
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
matrix mechanics
Matrix mechanics is an early formulation of quantum mechanics that represents physical observables as matrices and describes their time evolution through noncommutative algebra.
|
E107437
|
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: matrix mechanics | Statement: [Werner Heisenberg, notableWork, matrix mechanics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: matrix mechanics Context triple: [Werner Heisenberg, notableWork, matrix mechanics]
-
A.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
B.
Feynman path integral
The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
-
C.
Wigner–Eckart theorem
The Wigner–Eckart theorem is a fundamental result in quantum mechanics that factorizes matrix elements of tensor operators into a reduced matrix element and a purely geometric part given by Clebsch–Gordan coefficients, greatly simplifying angular momentum calculations.
-
D.
Newtonian mechanics
Newtonian mechanics is the classical theory of motion and forces that explains how macroscopic objects move under the influence of forces, forming the foundation of classical physics.
-
E.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
- 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: matrix mechanics Triple: [Werner Heisenberg, notableWork, matrix mechanics]
Generated description
Matrix mechanics is an early formulation of quantum mechanics that represents physical observables as matrices and describes their time evolution through noncommutative algebra.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: matrix mechanics Target entity description: Matrix mechanics is an early formulation of quantum mechanics that represents physical observables as matrices and describes their time evolution through noncommutative algebra.
-
A.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
B.
Feynman path integral
The Feynman path integral is a formulation of quantum mechanics in which a particle’s behavior is described as a sum over all possible paths it can take, each weighted by a phase factor derived from the classical action.
-
C.
Wigner–Eckart theorem
The Wigner–Eckart theorem is a fundamental result in quantum mechanics that factorizes matrix elements of tensor operators into a reduced matrix element and a purely geometric part given by Clebsch–Gordan coefficients, greatly simplifying angular momentum calculations.
-
D.
Newtonian mechanics
Newtonian mechanics is the classical theory of motion and forces that explains how macroscopic objects move under the influence of forces, forming the foundation of classical physics.
-
E.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
- 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_69a4939f91a08190ba68c2c81eab90fe |
completed | March 1, 2026, 7:29 p.m. |
| NER | Named-entity recognition | batch_69a4b2dca5208190bc9f17cd9dd6a98f |
completed | March 1, 2026, 9:42 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69a7c73d5bdc8190828cdf9f54e33a46 |
completed | March 4, 2026, 5:46 a.m. |
| NEDg | Description generation | batch_69a7c8c148708190bfdee5a55ab6d149 |
completed | March 4, 2026, 5:53 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69a7ca1e37f4819086cda13a446642e2 |
completed | March 4, 2026, 5:58 a.m. |
Created at: March 1, 2026, 7:39 p.m.