Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations

@article{Gargiulo2015NoncommutativeSG,
  title={Noncommutative spectral geometry, Bogoliubov transformations and neutrino oscillations},
  author={Maria Gargiulo and Mairi Sakellariadou and Giuseppe Vitiello},
  journal={Journal of Physics: Conference Series},
  year={2015},
  volume={626}
}
In this report we show that neutrino mixing is intrinsically contained in Connes’ noncommutatives pectral geometry construction, thanks to the introduction of the doubling of algebra, which is connected to the Bogoliubov transformation. It is known indeed that these transformations are responsible for the mixing, turning the mass vacuum state into the flavor vacuum state, in such a way that mass and flavor vacuum states are not unitary equivalent. There is thus a red thread that binds the… 

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