Pith. sign in

REVIEW 1 cited by

Are nonlocal Lagrangian systems fatally unstable?

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2403.19777 v3 pith:TKDX7APW submitted 2024-03-28 hep-th math-phmath.MP

Carlos Heredia , Josep Llosa This is my paper · ORCID
classification hep-thmath-phmath.MP
keywords nonlocalhigher-derivativelagrangiansystemsanalysedbenchmarksboundclaims
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We prove that higher-derivative and genuinely nonlocal Lagrangian systems can be Lyapunov-stable even when their Hamiltonians lack a lower bound. Explicit free and coupled Pais-Uhlenbeck oscillators, together with a genuine nonlocal model, are analysed to identify the precise conditions under which stability holds. These counterexamples point out the logical gap in the "Ostrogradsky instability" claims and provide benchmarks for constructing efficient stable higher-derivative theories.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Degenerate higher-order Maxwell-Einstein theories

    gr-qc 2025-02 conditional novelty 7.0 of 10

    A complete classification of quadratic degenerate Maxwell-Einstein theories is given, including a new theory that generalizes Horndeski's non-minimal coupling to gauge fields.

Pith tools