2025/01/08 by Verónica Errasti Díez, Jordi Gaset Rifà, Georgina Staudt · 5 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Advanced Differential Geometry Research #Black Holes and Theoretical Physics
paper · doi:10.1002/prop.202400268
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.