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.