Direction-Dependent CMB Power Spectrum and Statistical Anisotropy from Noncommutative Geometry
arXiv:0710.5897 · doi:10.1088/1126-6708/2008/05/092
Abstract
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.
26 pages. v3: Minor corrections
References in corpus (8)
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Cited by in corpus (10)
- CMB Temperature Anisotropy from Broken Spatial Isotropy due to an Homogeneous Cosmological Magnetic Field
- Cosmological and Black Hole Spacetimes in Twisted Noncommutative Gravity
- Constraints from CMB on Spacetime Noncommutativity and Causality Violation
- Quantum Fields on the Groenewold-Moyal Plane
- Bayesian Limits on Primordial Isotropy Breaking
- Particle phenomenology on noncommutative spacetime
- Symmetry Reduction in Twisted Noncommutative Gravity with Applications to Cosmology and Black Holes
- Noncommutative Corrections to the Robertson-Walker metric
- Imprints of microcausality violation on the cosmic microwave background
- Aspects of Symmetries in Field and String Theories