Triple

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).

Phrase: Ostrogradsky instability | Statement: [Pais–Uhlenbeck oscillator, relatedTo, Ostrogradsky instability]

Target entity: Ostrogradsky instability
Context triple: [Pais–Uhlenbeck oscillator, relatedTo, Ostrogradsky instability]

• A. Nielsen–Olesen instability
  The Nielsen–Olesen instability is a quantum field theory phenomenon describing how certain uniform field configurations, such as constant chromomagnetic fields, become unstable and decay into more complex structures like flux tubes or vortices.
• B. Chandrasekhar–Friedman–Schutz instability
  The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
• C. Dolgov–Kawasaki stability condition in viable models
  The Dolgov–Kawasaki stability condition in viable models is a theoretical requirement in modified gravity ensuring that f(R) theories avoid tachyonic instabilities by demanding a positive second derivative of the gravitational action with respect to the Ricci scalar.
• D. Bogoliubov–Parasyuk theorem
  The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
• E. Jeans instability
  Jeans instability is a gravitational phenomenon in astrophysics where regions within a gas cloud become unstable and collapse under their own gravity, leading to the formation of structures like stars and galaxies.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Ostrogradsky instability
Target entity description: Ostrogradsky instability is a fundamental problem in classical and quantum field theories with non-degenerate higher-derivative terms, leading to unbounded Hamiltonians and runaway solutions that render such theories physically unstable.

• A. Nielsen–Olesen instability
  The Nielsen–Olesen instability is a quantum field theory phenomenon describing how certain uniform field configurations, such as constant chromomagnetic fields, become unstable and decay into more complex structures like flux tubes or vortices.
• B. Chandrasekhar–Friedman–Schutz instability
  The Chandrasekhar–Friedman–Schutz instability is a gravitational-radiation-driven instability in rotating stars that can cause certain oscillation modes to grow by emitting gravitational waves.
• C. Dolgov–Kawasaki stability condition in viable models
  The Dolgov–Kawasaki stability condition in viable models is a theoretical requirement in modified gravity ensuring that f(R) theories avoid tachyonic instabilities by demanding a positive second derivative of the gravitational action with respect to the Ricci scalar.
• D. Bogoliubov–Parasyuk theorem
  The Bogoliubov–Parasyuk theorem is a fundamental result in quantum field theory that rigorously establishes a systematic procedure for renormalizing divergent Feynman diagrams.
• E. Jeans instability
  Jeans instability is a gravitational phenomenon in astrophysics where regions within a gas cloud become unstable and collapse under their own gravity, leading to the formation of structures like stars and galaxies.
• F. None of above. chosen