A lattice spacetime for the slit experiments of quantum mechanics

Assuming the existence of a lattice structure for quantum spacetime and knowledge of the observed probability density functions, ft, we determine the probabilistic properties of this spacetime. The algorithm is based on a matrix method that solves the inverse Perron-Frobenius problem at each time t. For the two-slit experiment, the algorithm reveals the probabilistic structure of the lattice spacetime that produces the interference patterns. (C) 1997 Elsevier Science B.V.