The universe in a tomogram

Abstract

In this paper I present the most recent developments in the formulation of a tomographic approach to quantum and classical cosmology. I introduce quantum tomography, in order to show how the quantum tomographical techniques can be applied to reconstruct a quantum state, then I discuss these techniques can be applied to quantum and classical cosmology. It follows that the information about the initial state of the universe should be obtained by analyzing the local deviations from the Hubble law, but more realistically one should analyse the spectrum of cosmological perturbations and the recent maps of the cosmical background radiation.