  Starting from a model of an elastic medium, partial differential equations
with the form of the coupled Einstein-Dirac-Maxwell equations are derived. The
form of these equations describes particles with mass and spin coupled to
electromagnetic and gravitational type of interactions. A two dimensional
version of these equations is obtained by starting with a model in three
dimensions and deriving equations for the dynamics of the lowest fourier modes
assuming one dimension to be periodic. Generalizations to higher dimensions are
discussed.
