The Supersymmetric Origin of Chaos and its Hidden Topological Order
arXiv:2605.01622 · doi:10.1016/j.newton.2026.100465
Abstract
Dynamical chaos is a term that encompasses a wide range of nonlinear phenomena such as turbulence, neuronal avalanches, weather patterns, and many others. However, despite much work in the field of chaos, its fundamental physical origin still remains not fully understood. In this perspective we report on recent studies showing that chaos is the realization of one of the most fundamental principles in physics: spontaneous symmetry breaking also known as spontaneous ordering. In the present context, the symmetry involved is a topological supersymmetry inherent to all continuous-time (stochastic) dynamical systems. Chaos is then truly a manifestation of order of topological origin potentially encoding a sort of long-range information hidden beneath its apparent unpredictability. We finally argue that this point of view may have far-reaching implications well beyond chaotic dynamics.
References in corpus (10)
- Pseudo-Hermiticity versus PT-Symmetry III: Equivalence of pseudo-Her miticity and the presence of antilinear symmetries
- Introduction to Supersymmetric Theory of Stochastics
- Topological field theory and computing with instantons
- Digital Memcomputing: from Logic to Dynamics to Topology
- Reconstruction of the primordial power spectrum from CMB data
- Chaos or Order?
- Kinematic Dynamo, Supersymmetry Breaking, and Chaos
- Ubiquitous order known as chaos
- Memory in neural activity: long-range order without criticality
- Chaos, Ito-Stratonovich dilemma, and topological supersymmetry