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

TL;DR

This paper classifies phenomena in a two-double-slit experiment using permutation symmetries of particle labels and attributes, revealing new residual interference effects and proposing an experiment to detect them.

Contribution

It introduces a novel classification framework based on permutation symmetries for wave phenomena in double-slit experiments, including a new residual interference system.

Findings

Identification of residual interference phenomena

A new symmetry-based classification system

Proposal of an experiment to detect residual interference

Abstract

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.