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Ideas presented in two earlier papers are applied to string theory. It hadbeen found that a deterministic cellular automaton in one space- and one timedimension can be mapped onto a bosonic quantum field theory on a 1+1dimensional lattice. We now also show that a cellular automaton in 1+1dimensions that processes only ones and zeros, can be mapped onto a fermionicquantum field theory in a similar way. The natural system to apply all of thisto is superstring theory, and we find that all classical states of a classical,deterministic string propagating in a rectangular, D dimensional space-timelattice, with some boolean variables on it, can be mapped onto the elements ofa specially chosen basis for a (quantized) D dimensional superstring. Thisstring is moderated ("regularized") by a 1+1 dimensional lattice on its worldsheet, which may subsequently be sent to the continuum limit. The space-timelattice in target space is not sent to the continuum, while this does not seemto reduce its physically desirable features, including Lorentz invariance. Weclaim that our observations add a new twist to discussions concerning theinterpretation of quantum mechanics, which we call the cellular automaton (CA)interpretation. Detailed discussions of this interpretation, and in particularits relation to the Bell inequalities, are now included.

Discreteness and Determinism in Superstrings