  It is shown that the postulation of a minimum length for the horizons of a
black hole leads to lower bounds for the electric charges and magnetic moments
of elementary particles. If the minimum length has the order of the Planck
scale, these bounds are given, respectively, by the electronic charge and by
$\mu \sim 10^{-21} \mu_B$. The latter implies that the masses of fundamental
particles are bounded above by the Planck mass, and that the smallest non-zero
neutrino mass is $m_{\nu} \sim 10^{-2}$eV. A precise estimation in agreement to
the area quantisation of Loop Quantum Gravity predicts a mass for the lightest
massive state in concordance with flavor oscillation measurements, and a
Barbero-Immirzi parameter in accordance to horizon entropy estimations.
