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arXiv:0804.4045

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

Genta Ito

Published Apr 25, 2008• 0 citations
arXivHTMLPDF

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.

DOI
10.48550/arxiv.0804.4045

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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.
The double-slit experiment encompasses the deepest mysteries of Quantum Mechanics. Here, we offer a physically intuitive explanation of this experiment based on insight from a recently described statistical model for the CHSH-Bell and Franson experiments. Accordingly, while each particle follows a single path as it goes through the device and into a detector, it also modifies the physical properties of the vacuum around it by spontaneously breaking its group of symmetries. The well-known pattern of interference fringes that appears in statistical analysis of long sequences of repetitions is then understood as the result of the self-interaction of the propagating particles with the polarized vacuum they create around themselves. A novel experimental setup aimed to test the offered explanation is proposed.
We have seen that a quantum particle like an electron has wave-like features and that an electromagnetic wave has particle-like properties as we may consider such a wave as a collective of photons. This naturally raises the question how quantum particles really exhibit these wave-like properties. In this chapter we focus on the question of whether particles can show interference effects like waves do. The answer to this question is affirmative, as is demonstrated by the famous double slit experiments of various kinds. In this chapter we consider classical as well as quantum wave phenomena.