Observational predictions of LQG motivated polymerized black holes and constraints from Sgr A* and M87*

Loop quantum gravity inspired partial polymer quantization in four-dimensional spacetime leads to a globally regular black hole with single horizon. The polymerized metric is characterized by the minimum length parameter $k$, and mimics Schwarzschild weak-field limit. We present an analytic numerical investigation of strong gravitational lensing shadow morphology determine observational impacts effects. Interestingly, light deflection angle, angular separation between outermost relativistic image, magnification are significantly larger than those for hole. Using ray-tracing technique, we simulate shadows under three distinct optically thin accretion models: static spherical accretion, radially infalling disk model. Polymerized holes' strongly depends on $k$. derive constraints $k$ from M87* Sgr A* observations Event Horizon Telescope.