LQG formulations have a minimum length/area. Since say, a Planck area can always be boosted, any minimum area in space can be shrunk. Do LQG proponents worry about local Lorentz invariance violation, and if not, why not? In LQG, does considering length to be a quantum operator really get rid of the boost problem?
If LQG turns out to be Lorentz covariant, what is the explicit form of the Lorentz boost generator operator, and can it be explicitly shown to be a symmetry of the theory?