https://doi.org/10.1140/epjc/s10052-013-2695-0
Regular Article - Theoretical Physics
Doubling of the algebra and neutrino mixing within noncommutative spectral geometry
Doubling of the algebra and neutrino mixing
1
Dipartimento di Fisica, I.N.F.N. Università di Salerno, 84100 , Salerno, Italy
2
Department of Physics, King’s College London, University of London, Strand, WC2R 2LS, London, UK
* e-mail: mairi.sakellariadou@kcl.ac.uk
Received:
6
September
2013
Accepted:
9
December
2013
Published online:
23
January
2014
We study the 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 the strong and electroweak interactions. Linking the algebra doubling to the deformed Hopf algebra, we build Bogoliubov transformations and show the emergence of neutrino mixing.
© The Author(s), 2014
