Constraining Black Hole Parameters in Non-Commutative Geometry using Machine Learning

Abstract

Motivated by string theory, we constrain non-commutative black hole parameters through shadow behaviors using machine learning techniques combined by CUDA computations. To do so, we first investigate the structure of the event horizon of non-commutative black holes in the presence of string clouds and dark energy sectors by exploiting CUDA-based methods. We numerically approach the shadow properties and the energy emission rate of rotating and charged black holes in non-commutative geometry via such high-performance parallel computings. To bridge these findings with observational data, we implement a CUDA-based framework in order to constrain the involved black hole parameters including the non-commutative one. Using the resulting numerical data, we build a robust training datasets for a fully connected neural network to determine whether a given set of parameters matches with the observational data provided by Event Horizon Telescope collaborations. As a result, we find that the non-commutative model under study is consistent with the observations of $SgrA^*_{\mathrm{Keck}}$ black holes.