Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from Noncommutative Geometry

Understand

Modern cosmology has now emerged as a testing ground for theories beyond the standard model of particle physics.

• In this paper, we consider quantum fluctuations of the inflaton scalar field on certain noncommutative spacetimes and look for noncommutative corrections in the cosmic microwave background (CMB) radiation.
• Inhomogeneities in the distribution of large scale structure and anisotropies in the CMB radiation can carry traces of noncommutativity of the early universe.
• We show that its power spectrum becomes direction-dependent when spacetime is noncommutative.