Triple

T4661785
Position Surface form Disambiguated ID Type / Status
Subject Lemaître–Tolman metric E102548 entity
Predicate satisfies P4233 FINISHED
Object Einstein field equations E1603 NE FINISHED

Named-entity recognition

Before disambiguation, gpt-5-mini classified whether the object phrase is a named entity — the step behind the object's NE type shown above.

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: Einstein field equations | Statement: [Lemaître–Tolman metric, satisfies, Einstein field equations]

Disambiguation candidates (1 decision)

The exact options the model was shown at each disambiguation step, with the option it chose highlighted — the evidence behind this triple's disambiguated ids.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Einstein field equations
Context triple: [Lemaître–Tolman metric, satisfies, Einstein field equations]
  • A. Einstein field equations chosen
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • B. Einstein–Maxwell equations
    The Einstein–Maxwell equations are the coupled set of field equations in general relativity that describe how spacetime curvature and electromagnetic fields interact and influence each other.
  • C. Raychaudhuri equation
    The Raychaudhuri equation is a fundamental relation in general relativity that describes how the expansion of a congruence of nearby geodesics evolves, playing a key role in the formulation of gravitational focusing and singularity theorems.
  • D. Einstein–Hilbert action
    The Einstein–Hilbert action is the fundamental action in general relativity whose variation yields Einstein’s field equations, expressing gravity as the dynamics of spacetime curvature.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 batches)

Stage Batch ID Job type Status
creating batch_69bd43d823288190952279faa0d1d066 elicitation completed
NER batch_69bd632b7fb88190821f213620719d6b ner completed
NED1 batch_69bdfafcd3908190aabf7975017ce337 ned_source_triple completed
Created at: March 20, 2026, 1:15 p.m.