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Foundations of Ghost Stability
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DOI：10.1002/prop.202400268.png)
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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.
Keyword:
ghost ridden systems
Lagrange stability
integrable systems
modified gravity
Ostrogradsky instability
期刊
F
IF:
7.8
论文数:
2.0K
被引数:
3.6K
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