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doi:10.1016/S0375-9601(97)00739-1 
Copyright © 1997 Published by Elsevier Science B.V.
A lattice spacetime for the slit experiments of quantum mechanics*1
Pawe
Góra
and Abraham Boyarsky
Received 14 January 1997;
revised 21 July 1997;
accepted 16 September 1997;
Communicated by P.R. Holland
Available online 17 May 1998.
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Abstract
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.
