Triple

T7491958
Position Surface form Disambiguated ID Type / Status
Subject Feshbach projection formalism E177025 entity
Predicate relatedTo P37 FINISHED
Object Nakajima–Zwanzig projection formalism
The Nakajima–Zwanzig projection formalism is a theoretical framework in nonequilibrium statistical mechanics that derives generalized master equations with memory effects for reduced system dynamics by projecting out environmental degrees of freedom.
E177025 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: Nakajima–Zwanzig projection formalism | Statement: [Feshbach projection formalism, relatedTo, Nakajima–Zwanzig projection formalism]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Nakajima–Zwanzig projection formalism
Context triple: [Feshbach projection formalism, relatedTo, Nakajima–Zwanzig projection formalism]
  • A. Onsager–Machlup function
    The Onsager–Machlup function is a functional in stochastic process theory that characterizes the most probable paths of fluctuating systems, playing a key role in nonequilibrium statistical mechanics and large deviation theory.
  • B. Onsager reciprocal relations
    Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
  • C. Feshbach projection formalism
    The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
  • D. Kirkwood approximation in statistical mechanics
    The Kirkwood approximation in statistical mechanics is a method for approximating many-particle correlation functions by expressing higher-order correlations in terms of lower-order ones, simplifying the description of interacting particle systems.
  • E. Landauer–Büttiker formalism
    The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
  • 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: Nakajima–Zwanzig projection formalism
Triple: [Feshbach projection formalism, relatedTo, Nakajima–Zwanzig projection formalism]
Generated description
The Nakajima–Zwanzig projection formalism is a theoretical framework in nonequilibrium statistical mechanics that derives generalized master equations with memory effects for reduced system dynamics by projecting out environmental degrees of freedom.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Nakajima–Zwanzig projection formalism
Target entity description: The Nakajima–Zwanzig projection formalism is a theoretical framework in nonequilibrium statistical mechanics that derives generalized master equations with memory effects for reduced system dynamics by projecting out environmental degrees of freedom.
  • A. Onsager–Machlup function
    The Onsager–Machlup function is a functional in stochastic process theory that characterizes the most probable paths of fluctuating systems, playing a key role in nonequilibrium statistical mechanics and large deviation theory.
  • B. Onsager reciprocal relations
    Onsager reciprocal relations are fundamental symmetry relations in nonequilibrium thermodynamics that link pairs of coupled fluxes and forces, showing that certain transport coefficients are equal.
  • C. Feshbach projection formalism chosen
    The Feshbach projection formalism is a quantum mechanical method that partitions a system’s Hilbert space into subspaces to derive effective Hamiltonians and describe interactions with continua or eliminated degrees of freedom.
  • D. Kirkwood approximation in statistical mechanics
    The Kirkwood approximation in statistical mechanics is a method for approximating many-particle correlation functions by expressing higher-order correlations in terms of lower-order ones, simplifying the description of interacting particle systems.
  • E. Landauer–Büttiker formalism
    The Landauer–Büttiker formalism is a theoretical framework in mesoscopic physics that describes electrical conductance in terms of quantum transmission of electrons through scattering channels.
  • 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_69c69f2583808190bd1a4936c42a5815 completed March 27, 2026, 3:15 p.m.
NER Named-entity recognition batch_69c6f5767d3481909a9a0e099cc02d03 completed March 27, 2026, 9:24 p.m.
NED1 Entity disambiguation (via context triple) batch_69c83c76a8988190bb5ff21731b19d4b completed March 28, 2026, 8:39 p.m.
NEDg Description generation batch_69c83e4052b481908df2fc43c71b3b07 completed March 28, 2026, 8:46 p.m.
NED2 Entity disambiguation (via description) batch_69c83ed33870819094b085229376da8a completed March 28, 2026, 8:49 p.m.
Created at: March 27, 2026, 3:43 p.m.