On the Stability of Dark Energy Scalar Field Reconstruction from SNe Ia Data

The current paper addresses the possibility of Dark Energy scalar field potential reconstruction from SNe Ia data and the problems arising during the process. We describe the method and test its limits and features with use of synthetic data, as well as discuss several issues connected to error propagation. We conclude that the chosen smoothing method—binning of the data—introduces immense uncertainty amplification which limits the practical application of this method, leaving us with other alternatives. We also address the “instability of the reconstruction”, an important effect when a false scalar field—real or phantom—could be reconstructed if the Ωm and H0 parameters are wrongly estimated; a similar effect could be expected in other Dark Energy models as well.