First things first, why are you still following phys.org?
Second, the paper in question is on the arXiv and is titled “Probing noncommutative theories with quantum optical experiments.” The paper is as wrong as a very similar paper was in 2012.
It is correct that noncommutative geometry plays a role in many approaches to quantum gravity and it’s not an entirely uninteresting idea. However, the variant that the authors want to test in the paper is not of the commonly discussed type. They want the effect to be relevant for the center-of-mass coordinates, so that it scales with the total mass. That assumption has no support from any approach to quantum gravity. It’s made-up. It is also mathematically highly problematic.
Third, I already spelled out in my review several years ago that this is bogus (see section 4.6) and doesn’t follow from anything. Though the academically correct phrase I used there is “should be regarded with caution.”
Fourth, note that the paper appeared on the arxiv two weeks after being accepted for publication. The authors clearly were not keen on any comment by any blogger before they had made it through peer review.
Fifth, let me mention that one of the authors of the paper, Mir Faizal, is not unknown to readers of this blog. We last heard of him when claimed that Loop Quantum Gravity violates the Holographic Principle (it doesn't). Before that, he claimed that the LHC will make contact to parallell universes (it won’t) and that black holes don’t exist (they do).
I rest my case.
And don’t forget to unfollow phys.org.