Inflation mechanism in asymptotic noncommutative geometry

The Inverse Seesaw Mechanism in Noncommutative Geometry

In this publication we will implement the inverse Seesaw mechanism [2] into the noncommutative framework [1] on the basis of the AC-extension of the Standard Model [3]. The main difference to the classical AC model is the chiral nature of the AC fermions with respect to a U(1)X extension of the Standard Model gauge group. It is this extension which allows us to couple the right-handed neutrinos...

Noncommutative inflation

In spite of the success of the inflationary Universe scenario [1] in solving some of the mysteries of standard cosmology and of providing a mechanism which explains the origin of density fluctuations on cosmological scales, a mechanism which to date has passed all of the observational challenges, we still do not have a convincing realization of inflation based on fundamental physics. Moreover, ...

Noncommutative geometry

Duality in Noncommutative Geometry

The structure of spacetime duality and discrete worldsheet symmetries of compactified string theory is examined within the framework of noncommutative geometry. The full noncommutative string spacetime is constructed using the Fröhlich-Gawȩdzki spectral triple which incorporates the vertex operator algebra of the string theory. The duality group appears naturally as a subgroup of the automorphi...

Generalized Space-time Noncommutative Inflation

We study the noncommutative inflation with a time-dependent noncommutativity between space and time. From the numerical analysis of power law inflation, there are clues that the CMB spectrum indicates a nonconstant noncommutative inflation. Then we extend our treatment to the inflation models with more general noncommutativity and find that the scalar perturbation power spectrum depends sensiti...