  Using realistic classical models of microscopic electric-charge electric
dipoles and electric-current (Amperian) magnetic dipoles, it is proven that the
Einstein-Laub macroscopic electromagnetic force on a macroscopic-continuum
volume of these classical dipoles equals the sum of the microscopic
electromagnetic forces on the discrete classical dipoles in that volume. The
internal (hidden) momentum of the discrete Amperian magnetic dipoles is
rigorously derived and properly included in the determination of the
macroscopic force from the spatial averaging of the microscopic forces.
Consequently, the Abraham/Einstein-Laub rather than the Minkowski macroscopic
electromagnetic-field momentum density gives the total microscopic
electromagnetic-field momentum in that volume. The kinetic momentum is found
for the volume of the macroscopic continuum from Newton's relativistic equation
of motion. It is shown that the difference between the kinetic and canonical
momenta in a volume of the macroscopic continuum is equal to the sum of the
"hidden electromagnetic momenta" within the electric-current magnetic dipoles
and within hypothetical magnetic-current electric dipoles replacing the
electric-charge electric dipoles in the classical macroscopic continuum. To
obtain the correct unambiguous value of the force on a volume inside the
continuum from the force-momentum expression, it is mandatory that the surface
of that volume be hypothetically separated from the rest of the continuum by a
thin free-space shell. Two definitive experiments performed in the past with
time varying fields and forces are shown to conclusively confirm the
Einstein-Laub/Abraham formulation over the Minkowski formulation.
