completely determine the theory. In particular, one can calculate the scattering amplitudes from these quantities. As explained below in the section on the "Background independent scattering amplitudes", in the background-independent context, the formula_330 point functions refer to a state and in gravity that state can naturally encode information about a specific geometry which can then appear in the expressions of these quantities. To leading order, LQG calculations have been shown to agree in an appropriate sense with the formula_330point functions calculated in the effective low energy quantum general relativity.