  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. (The effects due to noncommutativity can be
observed experimentally in the distribution of large scale structure of matter
as well.) Furthermore, we have shown that the probability distribution
determining the temperature fluctuations is not Gaussian for our noncommutative
spacetimes.
