Triple

T4537307
Position Surface form Disambiguated ID Type / Status
Subject matrix mechanics E107437 entity
Predicate mathematicallyEquivalentTo P6530 FINISHED
Object Schrödinger formulation of quantum mechanics E119324 NE FINISHED

How this triple was built (3 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: Schrödinger formulation of quantum mechanics | Statement: [matrix mechanics, mathematicallyEquivalentTo, Schrödinger formulation of quantum mechanics]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Schrödinger formulation of quantum mechanics
Context triple: [matrix mechanics, mathematicallyEquivalentTo, Schrödinger formulation of quantum mechanics]
  • A. Schrödinger equation
    The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
  • B. Copenhagen interpretation of quantum mechanics
    The Copenhagen interpretation of quantum mechanics is a foundational philosophical framework that emphasizes probabilistic wavefunctions, measurement-induced collapse, and the central role of observation in determining physical reality.
  • C. Heisenberg operator formulation of quantum mechanics chosen
    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. 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.
  • E. Born rule in quantum mechanics
    The Born rule in quantum mechanics is the fundamental postulate that connects a system’s wavefunction to experimentally observed probabilities by stating that measurement outcomes occur with probabilities given by the squared magnitude of the wavefunction’s amplitudes.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: mathematicallyEquivalentTo
Context triple: [matrix mechanics, mathematicallyEquivalentTo, Schrödinger formulation of quantum mechanics]
  • A. equivalentTo chosen
    Indicates that two entities represent the same concept, value, or state, and can be treated as interchangeable in the given context.
  • B. mathematicallyExpressedBy
    Indicates that something (such as a concept, quantity, or relationship) is represented or captured using a specific mathematical expression or formulation.
  • C. hasEquivalent
    Indicates that two entities are considered equal in value, meaning, or function within a given context.
  • D. isEquiconsistentWith
    Indicates that two formal theories or systems have the same consistency strength, such that if one is consistent then the other is also consistent, and if one is inconsistent then so is the other.
  • E. isIsomorphicTo
    Indicates that two structures have a one-to-one, structure-preserving correspondence between their elements, making them equivalent in form even if not identical in content.
  • F. None of above.

Provenance (4 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.
PD Predicate disambiguation batch_69bd521edd00819099dfccaa65dddd61 completed March 20, 2026, 1:56 p.m.
Created at: March 20, 2026, 1:04 p.m.