  We consider the modification to Kruglov's non-linear electrodynamics in the
presence of minimal length ($l_p$), by considering a specific formulation of
generalized uncertainty principle (GUP). The presence of minimal length has
been motivated by several candidate theories of quantum-gravity (both
perturbative and non-perturbative). We show that, such minimal length
modifications could lead to momentum dependent bounds on zero-point electric
field strength, for the aforementioned non-linear model of electrodynamics. We
further show that, the existence of minimal length modifies the measure of
vacuum birefringence $\Delta n$ in a constant and uniformly strong, external
magnetic field. We therefore suggest, the presence of a frictional mechanism of
fundamental origin, acting in the parallel direction of polarization of photons
(in the presence of strong magnetic field), as an additional effect of
quantized background.
