Triple

T1006235
Position Surface form Disambiguated ID Type / Status
Subject Dirac equation E21718 entity
Predicate relatedTo P37 FINISHED
Object Dirac Lagrangian
The Dirac Lagrangian is the relativistic quantum field theory Lagrangian density that describes spin-½ fermions, such as electrons, and leads to the Dirac equation as their equation of motion.
E118073 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: Dirac Lagrangian | Statement: [Dirac equation, relatedTo, Dirac Lagrangian]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Dirac Lagrangian
Context triple: [Dirac equation, relatedTo, Dirac Lagrangian]
  • A. 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.
  • B. Euler–Lagrange equation
    The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
  • C. 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.
  • D. LSZ reduction formula
    The LSZ reduction formula is a key result in quantum field theory that relates time-ordered correlation functions of fields to observable scattering amplitudes in the S-matrix.
  • E. Weyl’s gauge theory
    Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.
  • 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: Dirac Lagrangian
Triple: [Dirac equation, relatedTo, Dirac Lagrangian]
Generated description
The Dirac Lagrangian is the relativistic quantum field theory Lagrangian density that describes spin-½ fermions, such as electrons, and leads to the Dirac equation as their equation of motion.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Dirac Lagrangian
Target entity description: The Dirac Lagrangian is the relativistic quantum field theory Lagrangian density that describes spin-½ fermions, such as electrons, and leads to the Dirac equation as their equation of motion.
  • A. 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.
  • B. Euler–Lagrange equation
    The Euler–Lagrange equation is a fundamental differential equation in the calculus of variations that provides the condition for a function to make a functional stationary, forming the basis of Lagrangian mechanics and many physical theories.
  • C. 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.
  • D. LSZ reduction formula
    The LSZ reduction formula is a key result in quantum field theory that relates time-ordered correlation functions of fields to observable scattering amplitudes in the S-matrix.
  • E. Weyl’s gauge theory
    Weyl’s gauge theory is an early 20th-century theoretical framework that introduced the concept of local gauge invariance, laying foundational ideas for modern gauge theories in particle physics.
  • 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_69a493c53e648190ae8cb76c433fd9a7 completed March 1, 2026, 7:30 p.m.
NER Named-entity recognition batch_69a4b51434f081909b301ad1c151af03 completed March 1, 2026, 9:52 p.m.
NED1 Entity disambiguation (via context triple) batch_69ac2a21034081908ce6eb7d9827aba2 completed March 7, 2026, 1:37 p.m.
NEDg Description generation batch_69ac2a6dedb88190b2943c056d99e02f completed March 7, 2026, 1:38 p.m.
NED2 Entity disambiguation (via description) batch_69ac2ae2a5748190ba518f29d7564822 completed March 7, 2026, 1:40 p.m.
Created at: March 1, 2026, 7:41 p.m.