Triple
T6397129
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Unruh effect |
E143967
|
entity |
| Predicate | usesConcept |
P531
|
FINISHED |
| Object |
Kubo–Martin–Schwinger condition
The Kubo–Martin–Schwinger condition is a fundamental criterion in quantum statistical mechanics and quantum field theory that characterizes thermal equilibrium states through specific analyticity and periodicity properties of correlation functions.
|
E590893
|
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: Kubo–Martin–Schwinger condition | Statement: [Unruh effect, usesConcept, Kubo–Martin–Schwinger condition]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Kubo–Martin–Schwinger condition Context triple: [Unruh effect, usesConcept, Kubo–Martin–Schwinger condition]
-
A.
Tomonaga–Schwinger equation
The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
-
B.
Bogoliubov–Parasyuk theorem
The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
-
C.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
D.
Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
-
E.
Ward–Takahashi identities
The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
- 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: Kubo–Martin–Schwinger condition Triple: [Unruh effect, usesConcept, Kubo–Martin–Schwinger condition]
Generated description
The Kubo–Martin–Schwinger condition is a fundamental criterion in quantum statistical mechanics and quantum field theory that characterizes thermal equilibrium states through specific analyticity and periodicity properties of correlation functions.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Kubo–Martin–Schwinger condition Target entity description: The Kubo–Martin–Schwinger condition is a fundamental criterion in quantum statistical mechanics and quantum field theory that characterizes thermal equilibrium states through specific analyticity and periodicity properties of correlation functions.
-
A.
Tomonaga–Schwinger equation
The Tomonaga–Schwinger equation is a relativistic generalization of the Schrödinger equation that formulates quantum field evolution on arbitrary spacelike hypersurfaces, forming a key part of covariant quantum field theory.
-
B.
Bogoliubov–Parasyuk theorem
The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
-
C.
Gell-Mann–Low theorem
The Gell-Mann–Low theorem is a fundamental result in quantum field theory that rigorously connects interacting quantum fields to free fields via the adiabatic switching-on of interactions, underpinning the use of perturbation theory and the Dyson series.
-
D.
Kramers–Kronig relations
The Kramers–Kronig relations are fundamental mathematical formulas in physics that connect the real and imaginary parts of a complex response function, expressing how causality constrains the frequency-dependent behavior of physical systems.
-
E.
Ward–Takahashi identities
The Ward–Takahashi identities are fundamental relations in quantum field theory that express the consequences of gauge or global symmetries for Green’s functions and ensure the consistency of renormalization with these symmetries.
- 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_69c008db906c819096f3597d55d95432 |
completed | March 22, 2026, 3:20 p.m. |
| NER | Named-entity recognition | batch_69c06896d180819091548a728e903184 |
completed | March 22, 2026, 10:09 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69c6389bd9f48190af9811cf8cee124e |
completed | March 27, 2026, 7:58 a.m. |
| NEDg | Description generation | batch_69c63beaa5408190b4421f49634f3df1 |
completed | March 27, 2026, 8:12 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69c63c5f7d508190bd263822cea1b782 |
completed | March 27, 2026, 8:14 a.m. |
Created at: March 22, 2026, 4:35 p.m.