Testing the AdS/CFT Correspondence Through Thermodynamic Geometry of Nonlinear Electrodynamics AdS Black Holes with Generalized Entropies
This paper investigates the thermodynamic geometry and phase transitions of Anti-de Sitter black holes in ModMax, nonlinear electrodynamics, and Euler-Heisenberg theories under standard, Rényi, and Kaniadakis entropy frameworks, demonstrating that singularities in the geometrothermodynamic curvature consistently identify critical points that are preserved in their holographic dual conformal field theories.