Although the rules for interpreting local quantum theory imply discretization of process, Lorentz covariance is usually regarded as precluding time quantization. Nevertheless a time-discretized quantum representation of redshifting spatially-homogeneous universe may be based on discrete-step Feynman paths carrying causal Lorentz-invariant action--paths that not only propagate the wave function but provide a phenomenologically-promising elementary-particle Hilbert-space basis. In a model under development, local path steps are at Planck scale while, at a much larger 'wave-function scale', global steps separate successive wave-functions. Wave-function spacetime is but a tiny fraction of path spacetime. Electromagnetic and gravitational actions are 'at a distance' in Wheeler-Feynman sense while strong (color) and weak (isospin) actions, as well as action of particle motion, are 'local' in a sense paralleling the action of local field theory. 'Nonmaterial' path segments and 'trivial events' collaborate to define energy and gravity.
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