Triple
T7151366
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | spin Casimir operator |
E166698
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | Lorentz-invariant operator |
C18224
|
CONCEPT FINISHED |
How this triple was built (1 step)
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.
CD
Concept disambiguation
gpt-5-mini-2025-08-07
Target class: Lorentz-invariant operator Context triple: [spin Casimir operator, instanceOf, Lorentz-invariant operator]
-
A.
representation of the Lorentz group
chosen
A representation of the Lorentz group is a mathematical structure (typically a vector space with linear operators) on which the Lorentz transformations act in a way that preserves the group operations, allowing physical fields or states to transform consistently under changes of inertial reference frames.
-
B.
relativistic quantum field theory Lagrangian
A relativistic quantum field theory Lagrangian is a function of fields and their spacetime derivatives that encodes the dynamics, symmetries, and interactions of quantum fields in a Lorentz-invariant way.
-
C.
Lagrangian density
The Lagrangian density is a function of fields and their derivatives defined over spacetime whose integral (the action) determines the dynamics of a physical system via the principle of least action.
-
D.
Lorentzian manifold
A Lorentzian manifold is a smooth manifold equipped with a metric tensor of signature \((-+\cdots+)\) (or its variants) that models spacetime in general relativity by distinguishing timelike, spacelike, and null directions.
-
E.
spacetime symmetry group
A spacetime symmetry group is the mathematical group of transformations (such as translations, rotations, and boosts) that leave the physical laws or geometric structure of spacetime invariant.
- F. None of above.
Provenance (1 batch)
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_69c68886779c8190a8e3fbabffe68253 |
completed | March 27, 2026, 1:39 p.m. |
Created at: March 27, 2026, 2:46 p.m.