Triple

T5273784
Position Surface form Disambiguated ID Type / Status
Subject Heisenberg operator formulation of quantum mechanics E119324 entity
Predicate assumes P1458 FINISHED
Object Born rule for probabilities E75605 NE FINISHED

How this triple was built (2 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: Born rule for probabilities | Statement: [Heisenberg operator formulation of quantum mechanics, assumes, Born rule for probabilities]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Born rule for probabilities
Context triple: [Heisenberg operator formulation of quantum mechanics, assumes, Born rule for probabilities]
  • A. Born rule in quantum mechanics chosen
    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.
  • B. Gleason’s theorem
    Gleason’s theorem is a foundational result in the mathematical formulation of quantum mechanics that characterizes all probability measures on the lattice of projection operators in a Hilbert space, effectively justifying the Born rule.
  • C. QBism
    QBism is an interpretation of quantum mechanics that treats the wavefunction as an expression of an individual agent’s personal probabilities for measurement outcomes rather than an objective physical state.
  • D. 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.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69bd446c38e081908cdaf113bdf86790 completed March 20, 2026, 12:58 p.m.
NER Named-entity recognition batch_69bd7c22a29081908a022847e61af8a9 completed March 20, 2026, 4:56 p.m.
NED1 Entity disambiguation (via context triple) batch_69bf06d1f874819098a9b99f8bb9f654 completed March 21, 2026, 9 p.m.
Created at: March 20, 2026, 1:51 p.m.