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Díez, Verónica Errasti ORCID logoORCID: https://orcid.org/0000-0003-0376-7402; Gaset Rifà, Jordi und Staudt, Georgina (2025): Foundations of Ghost Stability. In: Fortschritte der Physik, Bd. 73, Nr. 4, 2400268

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Abstract

The authors present a new method to analytically prove global stability in ghost-ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation. Novel examples illustrate all of the results. The findings take root on a careful examination of the literature, here comprehensively reviewed for the first time. This work lays the mathematical basis for ulterior extensions to field theory and quantization, and it constitutes a gateway for inter-disciplinary research in dynamics and integrability.

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