Triple

T5426925
Position Surface form Disambiguated ID Type / Status
Subject Wheeler–DeWitt equation E121385 entity
Predicate involves P1256 FINISHED
Object Hamiltonian constraint
The Hamiltonian constraint is a key equation in canonical general relativity that enforces time-reparameterization invariance by requiring the total Hamiltonian of the gravitational field (and matter) to vanish on physical states.
E121385 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: Hamiltonian constraint | Statement: [Wheeler–DeWitt equation, involves, Hamiltonian constraint]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Hamiltonian constraint
Context triple: [Wheeler–DeWitt equation, involves, Hamiltonian constraint]
  • A. Hamiltonian (time translation generator)
    The Hamiltonian (time translation generator) is the operator in relativistic quantum theory that generates time evolution of physical states as part of the Poincaré symmetry algebra.
  • B. Hamiltonian mechanics
    Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
  • C. Wheeler–DeWitt equation
    The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
  • D. Dirac Hamiltonian
    The Dirac Hamiltonian is the relativistic quantum-mechanical energy operator for spin-½ particles, incorporating both special relativity and spin via the Dirac equation.
  • E. Peierls bracket
    The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
  • 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: Hamiltonian constraint
Triple: [Wheeler–DeWitt equation, involves, Hamiltonian constraint]
Generated description
The Hamiltonian constraint is a key equation in canonical general relativity that enforces time-reparameterization invariance by requiring the total Hamiltonian of the gravitational field (and matter) to vanish on physical states.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Hamiltonian constraint
Target entity description: The Hamiltonian constraint is a key equation in canonical general relativity that enforces time-reparameterization invariance by requiring the total Hamiltonian of the gravitational field (and matter) to vanish on physical states.
  • A. Hamiltonian (time translation generator)
    The Hamiltonian (time translation generator) is the operator in relativistic quantum theory that generates time evolution of physical states as part of the Poincaré symmetry algebra.
  • B. Hamiltonian mechanics
    Hamiltonian mechanics is a reformulation of classical mechanics that describes physical systems in terms of generalized coordinates and conjugate momenta using a Hamiltonian function, providing a powerful framework for both classical and quantum physics.
  • C. Wheeler–DeWitt equation chosen
    The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
  • D. Dirac Hamiltonian
    The Dirac Hamiltonian is the relativistic quantum-mechanical energy operator for spin-½ particles, incorporating both special relativity and spin via the Dirac equation.
  • E. Peierls bracket
    The Peierls bracket is a covariant generalization of the Poisson bracket used in quantum field theory and classical field theory to define commutation relations in a way that respects spacetime causality.
  • F. None of above.

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_69bd463c65f0819082ee6483ab4b466a completed March 20, 2026, 1:06 p.m.
NER Named-entity recognition batch_69bd8817a2048190a76805da03cfa09b completed March 20, 2026, 5:47 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf3abfc7e88190b8f0a31b61c33973 completed March 22, 2026, 12:41 a.m.
NEDg Description generation batch_69bf3b592a08819090e2873bcf4e797f completed March 22, 2026, 12:44 a.m.
NED2 Entity disambiguation (via description) batch_69bf3c0b9e5481909101eccbd55f24b2 completed March 22, 2026, 12:47 a.m.
Created at: March 20, 2026, 2:06 p.m.