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arxiv: 2605.01622 · v1 · submitted 2026-05-02 · 🌊 nlin.CD

Recognition: unknown

The Supersymmetric Origin of Chaos and its Hidden Topological Order

Igor V. Ovchinnikov , Massimiliano Di Ventra
Authors on Pith no claims yet

Pith reviewed 2026-05-09 17:30 UTC · model grok-4.3

classification 🌊 nlin.CD
keywords chaosorigintopologicaldynamicalfundamentalhiddenorderspontaneous
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The pith

Chaos is the spontaneous breaking of topological supersymmetry inherent to continuous-time dynamical systems, manifesting as hidden topological order.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper proposes that chaos is not mere unpredictability but the result of a fundamental symmetry breaking. In physics, spontaneous symmetry breaking occurs when a system settles into a state that does not respect a symmetry that its equations possess, like a magnet choosing a direction. Here the symmetry is a topological supersymmetry, a mathematical property the authors say exists in any system described by continuous time evolution, including stochastic ones. Breaking this symmetry produces the sensitive dependence on initial conditions and complex behavior we call chaos. The authors argue this order is topological, meaning it involves global properties of the system's state space rather than local details, and may encode long-range information beneath the surface unpredictability. This perspective is presented as unifying chaos with one of physics' core principles.

Core claim

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.

Load-bearing premise

That a topological supersymmetry is inherent to all continuous-time dynamical systems and that its spontaneous breaking directly produces the observed features of chaos.

read the original 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.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 1 invented entities

The claim rests on the unproven assertion that topological supersymmetry is inherent to dynamical systems; no free parameters or new entities with independent evidence are specified in the abstract.

axioms (1)
  • domain assumption A topological supersymmetry is inherent to all continuous-time (stochastic) dynamical systems.
    Directly stated in the abstract as the symmetry whose breaking produces chaos.
invented entities (1)
  • Topological supersymmetry no independent evidence
    purpose: To serve as the symmetry whose spontaneous breaking explains the origin of chaos.
    Introduced as inherent but without derivation or falsifiable test in the abstract.

pith-pipeline@v0.9.0 · 5430 in / 1284 out tokens · 18388 ms · 2026-05-09T17:30:12.261879+00:00 · methodology

discussion (0)

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