I looked at the article and didn't get a favorable impression--but I'm not an expert so that doesn't mean very much. It seemed to me that this article is basically a WARMED OVER version of its reference [19]
http://arxiv.org/pdf/1407.1714v1.pdf
Noncommutative Geometry and the Primordial Dipolar Imaginary Power Spectrum
Pankaj Jain and Pranati K. Rath July 8, 2014
Dept. of Physics, Indian Institue of Technology Kanpur, Kanpur - 208016, India
Abstract
We argue that an anisotropic dipolar imaginary primordial power spectrum is possible within the framework of noncommutative space-times. We show that such a spectrum provides a good description of the observed dipole modulation in CMBR data. We extract the corresponding power spectrum from data. The dipole modulation is related to the observed hemispherical anisotropy in CMBR data, which might represent the first signature of quantum gravity.
===========
It looked to me as if reference [19] was where they do their real calculations, and over and over, in
http://arxiv.org/abs/1503.03859, they cite two seminal papers by other people [15] and [16] and then they immediately afterwards cite [17 - 19] which includes their own work [19]. That seems to be where the meat is. In this 2015 one they don't get substantially new results they just cite [19] and other sources.