Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Supersymmetry Breaking as the Origin of the Butterfly Effect   Previously, there existed no clear explanation why chaotic dynamics is always
accompanied by the infinitely long memory of perturbations (and/or initial
conditions) known as the butterfly effect (BE). In this paper, it is shown that
within the recently proposed approximation-free supersymmetric theory of
stochastic (partial) differential equations (SDE), the BE is a derivable
consequence of (stochastic) chaos, a rigorous definition of which is the
spontaneous breakdown of topological supersymmetry that all SDEs possess. It is
also discussed that the concept of ergodicy must be refined under the condition
of the spontaneous breakdown of pseudo-time-reversal symmetry when the model
has "physical" states of multiple eigenvalues that survive the physical limit
of the infinitely long temporal propagation.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin