  Lattice gauge theory's discretization of spacetime suffers from a drawback in
that Lorentz covariance is lost because the axes of the lattice create
preferred directions in spacetime. Smaller and smaller lattice spacings
decrease the effect but fail to eliminate it completely. It has been argued
recently that detecting such a set of preferred directions or similar
constraints would indicate whether the universe itself has an underlying
lattice, i.e. the digital universe hypothesis. In this paper, I demonstrate a
technique for accomplishing lattice gauge theory simulations while maintaining
exact Lorentz covariance by replacing the lattice with a lattice graph such
that the metric is defined as a discrete, Lorentz covariant matrix potential
over the graph rather than a metric over an underlying manifold. This technique
eliminates the symmetry violation of standard lattice gauge theory and suggests
that, even in a digital universe, Lorentz covariance can still hold.
