  Utilizing the program of expectation values in coherent states and its
recently developed algorithmic tools, this letter investigates the dynamical
properties of cosmological coherent states for Loop Quantum Gravity. To this
end, the Quantum Speed Limit is adapted to Quantum Gravity, yielding necessary
consistency checks for any proposal of stable families of states. To showcase
the strength of the developed tools, they are applied to a prominent model: the
Euclidean part of the quantum scalar constraint. We report the variance of this
constraint evaluated on a family of coherent states showing that, for short
times, this family passes the Quantum Speed Limit test, allowing the transition
from one coherent state to another one.
