Model independent analysis of supernova data, dark energy, trans-Planckian censorship and the swampland

In this Letter, we consider the model-independent reconstruction of expansion and growth functions from Pantheon supernova data. The method relies on developing function in terms shifted Chebyshev polynomials determining coefficients by a maximum-likelihood fit to Having obtained way, can then also determine without assuming particular model. We compare results with predictions two classes Dark Energy models, firstly class quintessence scalar field models consistent trans-Planckian censorship swampland conjectures, secondly generalized Proca vector models. constraints parameters which appear these