Double slit experiments play a key role in Quantum Theory in distinct particle and wave interactions according to Feynman. In this paper, double path models together with variant logic principles are applied to establish a simulation system enabling the exhaustive testing of given targets. Using Einstein quanta interaction, different quaternion measures are investigated. Under conditions of Symmetry / Anti-symmetry and Synchronous / Asynchronous interaction, eight groups of statistical results are generated and presented as eight histograms showing the distributions. From this set of simulation results, it can be seen that not only is the synchronous condition the key factor in generating quantum wave interference patterns but also that the asynchronous condition is the key factor in classical particle distributions. Sample results are illustrated and explanations are discussed.