  Loop Quantum Gravity (LQG) is a non-perturbative attempt at quantization of a
classical phase space description of gravity in terms of $SU(2)$ connections
and electric fields. As emphasized recently [1], on this phase space, classical
gravitational evolution in $time$ can be understood in terms of certain gauge
covariant generalizations of Lie derivatives with respect to a $spatial$
$SU(2)$ Lie algebra valued vector field called the Electric Shift. We present a
derivation of a quantum dynamics for Euclidean LQG which is informed by this
understanding. In addition to the physically motivated nature of the action of
the Euclidean Hamiltonian constraint so derived, the derivation implies that
the spin labels of regulating holonomies are determined by corresponding labels
of the spin network state being acted upon thus eliminating the `spin
$j$-ambiguity' pointed out by Perez. By virtue of Thiemann's seminal work, the
Euclidean quantum dynamics plays a crucial role in the construction of the
Lorentzian quantum dynamics so that our considerations also have application to
Lorentzian LQG.
