The threshold law for N-body fragmentation under dipole forces is formulate
d. It emerges from the energy dependence of the normalization of the correl
ated continuum wave function for N fragments. It is shown that the dipole t
hreshold law plats a key role in understanding all threshold fragmentation
phenomena since it links the classical threshold law for long-range Coulomb
interactions to the statistical law for short-range interactions. Futhermo
re, a tunnelling mechanism is identified as the common feature which occurs
for all three classes of interactions, short-range, dipole and Coulomb.