Triple

T4537354
Position Surface form Disambiguated ID Type / Status
Subject uncertainty principle E107438 entity
Predicate hasGeneralFormulation P3660 FINISHED
Object Robertson–Schrödinger uncertainty relation
The Robertson–Schrödinger uncertainty relation is a generalized quantum mechanical inequality that extends Heisenberg’s uncertainty principle to arbitrary pairs of observables, incorporating both their commutator and statistical correlations.
E450152 NE FINISHED

How this triple was built (5 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: Robertson–Schrödinger uncertainty relation | Statement: [uncertainty principle, hasGeneralFormulation, Robertson–Schrödinger uncertainty relation]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Robertson–Schrödinger uncertainty relation
Context triple: [uncertainty principle, hasGeneralFormulation, Robertson–Schrödinger uncertainty relation]
  • A. uncertainty principle
    The uncertainty principle is a fundamental concept in quantum mechanics stating that certain pairs of physical properties, such as position and momentum, cannot both be known to arbitrary precision simultaneously.
  • B. Mathematical Foundations of Quantum Mechanics
    Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
  • C. Heisenberg operator formulation of quantum mechanics
    The Heisenberg operator formulation of quantum mechanics is a foundational approach in which observables evolve in time as operators while states remain fixed, providing a mathematically equivalent description to other formulations such as Schrödinger’s and the path integral.
  • D. Einstein’s photon box
    Einstein’s photon box is a famous thought experiment proposed by Albert Einstein to challenge the foundations of quantum mechanics by questioning the limits of energy-time uncertainty.
  • E. Frauchiger–Renner paradox
    The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
  • 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: Robertson–Schrödinger uncertainty relation
Triple: [uncertainty principle, hasGeneralFormulation, Robertson–Schrödinger uncertainty relation]
Generated description
The Robertson–Schrödinger uncertainty relation is a generalized quantum mechanical inequality that extends Heisenberg’s uncertainty principle to arbitrary pairs of observables, incorporating both their commutator and statistical correlations.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Robertson–Schrödinger uncertainty relation
Target entity description: The Robertson–Schrödinger uncertainty relation is a generalized quantum mechanical inequality that extends Heisenberg’s uncertainty principle to arbitrary pairs of observables, incorporating both their commutator and statistical correlations.
  • A. uncertainty principle
    The uncertainty principle is a fundamental concept in quantum mechanics stating that certain pairs of physical properties, such as position and momentum, cannot both be known to arbitrary precision simultaneously.
  • B. Mathematical Foundations of Quantum Mechanics
    Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
  • C. Heisenberg operator formulation of quantum mechanics
    The Heisenberg operator formulation of quantum mechanics is a foundational approach in which observables evolve in time as operators while states remain fixed, providing a mathematically equivalent description to other formulations such as Schrödinger’s and the path integral.
  • D. Einstein’s photon box
    Einstein’s photon box is a famous thought experiment proposed by Albert Einstein to challenge the foundations of quantum mechanics by questioning the limits of energy-time uncertainty.
  • E. Frauchiger–Renner paradox
    The Frauchiger–Renner paradox is a thought experiment in quantum foundations that extends Wigner’s friend scenario to argue that standard quantum theory cannot consistently describe its own use by multiple observers.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: hasGeneralFormulation
Context triple: [uncertainty principle, hasGeneralFormulation, Robertson–Schrödinger uncertainty relation]
  • A. hasFormulation chosen
    Indicates that one entity is expressed, prepared, or configured in a particular form or composition defined by another entity.
  • B. hasFormulationType
    Indicates the specific way something is physically prepared or presented, such as its dosage form, composition, or delivery format.
  • C. hasModernFormulationIn
    Indicates that something has a contemporary or updated version expressed or formulated within a specified context, framework, or medium.
  • D. hasFormulationPeriod
    Indicates the time span during which something is planned, designed, or developed before it is finalized or implemented.
  • E. mathematicallyFormulatedIn
    Indicates that something is expressed, defined, or represented using mathematical formulas, equations, or formal mathematical structures within a given context.
  • F. None of above.

Provenance (6 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_69bd43f922788190b7edfa294e39b178 completed March 20, 2026, 12:56 p.m.
NER Named-entity recognition batch_69bd57b78b8481909d79131723d4be22 completed March 20, 2026, 2:20 p.m.
NED1 Entity disambiguation (via context triple) batch_69bdacfb2ba48190b7f1b23785e9d030 completed March 20, 2026, 8:24 p.m.
NEDg Description generation batch_69bdaf867740819090367e5ebd37b4d4 completed March 20, 2026, 8:35 p.m.
NED2 Entity disambiguation (via description) batch_69bdafeb5e0881909d4ee62b066dee91 completed March 20, 2026, 8:36 p.m.
PD Predicate disambiguation batch_69bd521edd00819099dfccaa65dddd61 completed March 20, 2026, 1:56 p.m.
Created at: March 20, 2026, 1:04 p.m.