Mathematics

This second talk will focus on how to generate within noncommutative geometry framework  the extra scalar field required to stabilize the electroweak vacuum. This field violates the first order condition, and a possible solution is to start from a "grand algebra" bigger than the one of the standard model. The extra scalar field is then generated as a "fluctuation" of the Majorana mass of the right neutrino, in a way satisfying a twisted version of the first order condition. Furthermore, the reduction of this "grand symmetry" to the standard  model is dynamical, and occurs as a minimum of the spectral action.