In this communication, the vastly different sizes of atoms (similar to 10(-
10) m = 1 Angstrom) and nuclei (similar to 10(-15) m = 1 fm) find an explan
ation in the mass hierarchy of the electron, pion and nucleon, and in the r
elative magnitude of the fundamental coupling constants of the electromagne
tic interactions (represented by the fine structure constant alpha similar
to1/137) and of the strong interactions (represented by the pion-nucleon co
upling constant g(nNN) approximate to 13). None of those hierarchies can, h
owever, be explained by the present Standard Model of elementary particle p
hysics.