It's been already 2 years that the question of Lorentz invariance in LQG has been qualified "FAQ" by Ashtekar
Loop Quantum Gravity: Four Recent Advances and a Dozen Frequently Asked Questions
You may send an email to Ashtekar to notify him being "unteachable crackpot". Or you may reconsider your credibility.
Not even to mention the fact that we're talking about one single observation.