Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dark matter is a manifestation of the vacuum Bose-Einstein condensate   The vorticity equation stemming from the modified Navier-Stokes equation
gives a solution for a flat profile of the orbital speed of spiral galaxies.
Solutions disclose existence of the Gaussian vortex clouds, the coherent
vortices with infinite life-time, what can be a manifestation of the dark
matter. The solutions also disclose what we might call a breathing of the
galaxies - due to an exchange of the vortex energy with zero-point fluctuations
in the vacuum. .

2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn