Effects of the new type of extended uncertainty principle on Van der Waals black hole thermodynamics: A theoretical and deep learning approach

Abstract

In this paper, we study the Van der Waals black holes (the case [Formula: see text]) in the anti-de Sitter space under the effect of the linear extended uncertainty principle (EUP). The analysis was undertaken using deep learning by employing physics-informed neural networks in addition to the semi-classical approach, we have calculated the thermal quantities, including mass, volume, temperature, entropy, and Gibbs free energy. Additionally, we visually depict the effects of the EUP-term on the thermodynamic properties of the studied black holes.