Triple
T31797250
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Penrose spinor calculus |
E811630
|
entity |
| Predicate | instanceOf |
P0
|
FINISHED |
| Object | spinor calculus |
C28167
|
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: spinor calculus Context triple: [Penrose spinor calculus, instanceOf, spinor calculus]
-
A.
tensor calculus
chosen
Tensor calculus is a branch of mathematics that generalizes vector calculus to tensors, providing coordinate-independent tools for analyzing multidimensional quantities and their transformations, especially in physics and differential geometry.
-
B.
spin group
A spin group is a double cover of a special orthogonal group, realized as a subgroup of a Clifford algebra, that encodes the symmetries of spinors and provides a framework for describing fermionic rotations in geometry and physics.
-
C.
curvature tensor
A curvature tensor is a multilinear mathematical object in differential geometry that measures how much a space (or manifold) deviates from being flat by quantifying the failure of vectors to return to their original direction after parallel transport around infinitesimal loops.
-
D.
tensor derivation
A tensor derivation is a linear map on a tensor algebra that satisfies the Leibniz rule, generalizing the notion of differentiation to tensor fields.
-
E.
spacetime
Spacetime is the four-dimensional continuum that unifies the three dimensions of space with time into a single geometric framework in which all physical events occur.
- 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_69f348e70d188190b4637c5509f81274 |
completed | April 30, 2026, 12:19 p.m. |
Created at: April 30, 2026, 11:41 p.m.