Shadow and strong-field lensing effects of quantum-corrected RN blackhole

Abstract: We investigate the effects of a quantum-corrected RN black hole on the shadow using Perlick methodology and strong-field gravitational lensing using Tsukamoto's approach. Our analysis shows that even at extreme charge, the predicted shadow remains within the observational bounds set by the Event Horizon Telescope for both M87* and Sgr A*. The charge significantly influences the deflection angle near the photon sphere, while its effect diminishes at larger distances. In contrast, the quantum correction parameter, $\mathrm{a}$, exhibits negligible impact at the current observational scale. However, a slight increase in the shadow radius and a corresponding decrease in the strong deflection angle are observed as, $\mathrm{a}$, increases. These results underscore the subtle but theoretically consistent role of quantum corrections in black hole observables.