A classification of phenomena in a two double-slit experiment in terms of symmetries of permutations of particle labels and attributes

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Permutations of particle labels are usually used to illustrate the relationship between classical and quantum statistics. We use permutations of attributes/properties of particles to express properties of waves. We express events of the well-known two-double-slit experiment (in regimes that are appropriate to quantum interference and classical interference) in terms of symmetries of permutations of particle labels and attributes. We also obtain a new system called residual interference, and suggest an experiment to detect it.
15 pages, 3 figures

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