Triple

T17064925
Position Surface form Disambiguated ID Type / Status
Subject Einstein static universe E414059 entity
Predicate satisfies P4233 FINISHED
Object Einstein field equations with cosmological constant 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 with cosmological constant | Statement: [Einstein static universe, satisfies, Einstein field equations with cosmological constant]

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 with cosmological constant
Context triple: [Einstein static universe, satisfies, Einstein field equations with cosmological constant]
  • 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. FLRW cosmological models
    FLRW cosmological models are a family of solutions to Einstein’s field equations that describe a homogeneous and isotropic expanding or contracting universe, forming the standard framework for modern cosmology.
  • C. Newtonian gravitational cosmology
    Newtonian gravitational cosmology is a classical framework that applies Newton’s law of universal gravitation to model the large-scale structure, dynamics, and evolution of the universe before the advent of general relativity.
  • D. Schwarzschild–Milne equations
    The Schwarzschild–Milne equations are fundamental integro-differential equations in radiative transfer theory that describe the propagation and scattering of radiation through a plane-parallel, absorbing and emitting medium.
  • E. Brans–Dicke theory
    Brans–Dicke theory is an alternative theory of gravitation to Einstein’s general relativity that introduces a scalar field to allow for a varying gravitational “constant.”
  • 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_69d886cde3d481908d4d01ba88ba7eb7 elicitation completed
NER batch_69e3db806de48190a9ce68b40fc77a74 ner completed
NED1 batch_6a01234e9a94819094618ba43b7d22b4 ned_source_triple completed
Created at: April 10, 2026, 5:34 a.m.