Comment on "Regular magnetically charged black holes from nonlinear electrodynamics: Thermodynamics, light deflection, and orbital dynamics" by Aydiner, Sucu and Sakalli

TL;DR

This paper analyzes a regular magnetically charged black hole from nonlinear electrodynamics, examining horizon structure, tunneling thermodynamics, and weak-lensing signatures. The accompanying commentary identifies critical inconsistencies, including mutually conflicting extremality values, incorrect Schwarzschild-limit interpretation, an erroneous second-order deflection coefficient, and a sign error in GUP-based tunneling. It prescribes precise corrections—unifying $q_{ext}$, distinguishing horizonless regular objects from naked singularities, restoring the Epstein–Shapiro deflection coefficient in the Schwarzschild limit, and fixing GUP conventions—to maintain correct asymptotic limits. Correcting these issues will strengthen the model as a robust testbed for nonlinear electrodynamics in strong gravitational fields.

Abstract

We analyze the recent article by Aydiner, Sucu, and Sakalli [Phys.\ Dark Univ.\ \textbf{50}, 102164 (2025)] [arXiv:2507.05145], which investigates the thermodynamics, tunneling kinetics, and weak-lensing signatures of a regular, magnetically charged nonlinear-electrodynamics black hole. While the study addresses interesting phenomenological questions, we identify several inconsistencies that compromise the validity of the reported results. Specifically, we note mutually contradictory values for the extremal charge separating the black hole and horizonless regimes, an inaccurate characterization of the Schwarzschild limit as an extremal configuration, a vacuum weak-deflection expansion that fails to recover the standard second-order Schwarzschild coefficient, and a sign error in the generalized uncertainty principle (GUP) corrected tunneling probability. We also highlight terminology regarding the nature of the horizonless solution and the physical interpretation of plasma parameters that requires correction. We clarify these points to ensure the robustness of the model's asymptotic limits.