  In this report we show that neutrino mixing is intrinsically contained in
Connes' noncommutative spectral 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 doubling of algebra of Connes' model to the
neutrino mixing.
