Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ultra-chaos: an insurmountable objective obstacle of reproducibility and
  replicability   In this paper, a new concept, i.e. ultra-chaos, is proposed for the first
time. Unlike a normal-chaos, statistical properties such as the probability
density functions (PDF) of an ultra-chaos are sensitive to tiny disturbances.
We illustrate that ultra-chaos is widely existed and thus has general
scientific meanings. It is found that statistical non-reproducibility is an
inherent property of an ultra-chaos so that an ultra-chaos is at a higher-level
of disorder than a normal-chaos. Thus, it is impossible in practice to
replicate experimental/numerical results of an ultra-chaos even in statistical
meanings, since random environmental noises always exist and are out of
control. Thus, the ultra-chaos should be an insurmountable obstacle of
reproducibility and replicability. Similar to G\"{o}del's incompleteness
theorem, such kind of "incompleteness of reproducibility" reveals a limitation
of our traditional scientific paradigm based on reproducible experiments, which
can be traced back to Galileo. The ultra-chaos opens a new door and possibility
to study chaos theory, turbulence theory, computational fluid dynamics (CFD),
the statistical significance, reproducibility crisis, and so on.

31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph