Extended space-time and the interpretation of wave functions

An extension of space and time is presented whereby a point particle can oscillate into the immediate past and future. Rapid oscillation implies that the particle is seen at, or represented over, each point in time a large number of times, each representation being associated with a different phase of the oscillation. Each cycle gives rise to an unavoidable drift from the particle's original position and hence the particle representations are scattered about the original position. Many such models of particle dynamics are possible and have implications for the interpretation of quantum mechanics and the conception of nonrealistic, nonlocal theories. (author)