Foundations of ghost stability

TL;DR

This paper introduces a novel analytical method to establish global stability in ghost-involved dynamical systems, extending previous results and providing a foundation for future research in field theory and interdisciplinary dynamics.

Contribution

It presents a new approach that proves stability via conserved quantities unbounded from below, unifying and extending prior stability results in ghost systems.

Findings

Stability can be derived from conserved quantities unbounded from below.

The method encompasses all previous stability results in ghost systems.

Provides a mathematical basis for future extensions to field theory and quantization.

Abstract

We present a new method to analytically prove global stability in ghost-ridden dynamical systems. Our proposal encompasses all prior results and consequentially extends them. In particular, we show that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation. Novel examples illustrate all our results. Our 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.