Following a recent proposal based on holography the physics of the very early universe can be described in terms of a three-dimensional quantum field theory without gravity. In this model cosmological observables are expressed in terms of correlation functions of the energy-momentum tensor computed in the QFT. Testing the model against observational data, e.g. from Planck, requires control over the non-perturbative dynamics in the QFT, which we address with numerical simulations on the lattice. In this talk I will discuss our progress towards making predictions for the properties of the CMB from our model, which requires understanding the IR properties of 3d super-renormalisable QFT and the computation of 2pt functions of the energy-momentum tensor on the lattice.