Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Doubling of the Algebra and Neutrino Mixing within Noncommutative
  Spectral Geometry   We study physical implications of the doubling of the algebra, an essential
element in the construction of the noncommutative spectral geometry model,
proposed by Connes and his collaborators as offering a geometric explanation
for the standard model of strong and electroweak interactions. Linking the
algebra doubling to the deformed Hopf algebra, we build Bogogliubov
transformations and show the emergence of neutrino mixing.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess