Triple

T744290
Position Surface form Disambiguated ID Type / Status
Subject Alexander Friedmann E15307 entity
Predicate knownFor P22 FINISHED
Object Friedmann equations
The Friedmann equations are fundamental cosmological equations in general relativity that describe how the universe’s scale factor evolves over time, relating its expansion to matter, radiation, curvature, and dark energy content.
E1311 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: Friedmann equations | Statement: [Alexander Friedmann, knownFor, Friedmann equations]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Friedmann equations
Context triple: [Alexander Friedmann, knownFor, Friedmann equations]
  • A. 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.
  • B. Einstein field equations
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • C. 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.
  • D. Big Bang cosmology
    Big Bang cosmology is the prevailing scientific framework that explains the origin, early evolution, and large-scale structure of the universe as emerging from an extremely hot, dense initial state that has been expanding over time.
  • E. 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.
  • 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: Friedmann equations
Triple: [Alexander Friedmann, knownFor, Friedmann equations]
Generated description
The Friedmann equations are fundamental cosmological equations in general relativity that describe how the universe’s scale factor evolves over time, relating its expansion to matter, radiation, curvature, and dark energy content.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Friedmann equations
Target entity description: The Friedmann equations are fundamental cosmological equations in general relativity that describe how the universe’s scale factor evolves over time, relating its expansion to matter, radiation, curvature, and dark energy content.
  • A. FLRW cosmological models chosen
    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.
  • B. Einstein field equations
    The Einstein field equations are the core mathematical framework of general relativity, relating the curvature of spacetime to the distribution of matter and energy.
  • C. 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.
  • D. Big Bang cosmology
    Big Bang cosmology is the prevailing scientific framework that explains the origin, early evolution, and large-scale structure of the universe as emerging from an extremely hot, dense initial state that has been expanding over time.
  • E. 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.
  • 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_69a49358aa308190adbc9b5a0a2adcf9 completed March 1, 2026, 7:28 p.m.
NER Named-entity recognition batch_69a4a610ba9881908b4e5e7dcc6ed0f5 completed March 1, 2026, 8:48 p.m.
NED1 Entity disambiguation (via context triple) batch_69a66671ebd48190a785be0ae0d3588c completed March 3, 2026, 4:41 a.m.
NEDg Description generation batch_69a666ded0288190a43e8a13db4f6914 completed March 3, 2026, 4:43 a.m.
NED2 Entity disambiguation (via description) batch_69a667b8de2c819092f9a4c10abeeb56 completed March 3, 2026, 4:46 a.m.
Created at: March 1, 2026, 7:37 p.m.