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The Particle Illusion: A Closer Look at Feynman's Double-Slit Paradox

Terry B. Bollinger, Dibyajyoti Das

Published Aug 28, 2023• 0 citations
Publisher

Abstract

In 1963, Richard Feynman gave a memorable lecture on quantum mechanics' strange and non-intuitive nature. Using the example of two-slit self-interference, he showed how quantum entities such as electrons appear to traverse two passages at once. While Feynman's analogy beautifully captures the strangeness of quantum behavior, it leaves open the definition of "particle." A few additions to his thought experiment provide another insight: Experimentally, the only definition of a particle possible is that it is a sequence of expanding quantum waves punctuated by minute exchanges of momentum and energy that relocalize and restart the wave. This article uses Dibyajyoti Das's beautifully done adaptation of Feynman’s thought experiments to precisely assess what it takes to make an electron act like a bullet.

DOI
10.48034/20230712

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In 1963, Richard Feynman gave a memorable lecture on quantum mechanics' strange and non-intuitive nature. Using the example of two-slit self-interference, he showed how quantum entities such as electrons appear to traverse two passages at once. While Feynman's analogy beautifully captures the strangeness of quantum behavior, it leaves open the definition of "particle." A few additions to his thought experiment provide another insight: Experimentally, the only definition of a particle possible is that it is a sequence of expanding quantum waves punctuated by minute exchanges of momentum and energy that relocalize and restart the wave. This article uses Dibyajyoti Das's beautifully done adaptation of Feynman’s thought experiments to precisely assess what it takes to make an electron act like a bullet.
Double-slit diffraction is a corner stone of quantum mechanics. It illustrates key features of quantum mechanics: interference and the particle-wave duality of matter. In 1965, Richard Feynman presented a thought experiment to show these features. Here we demonstrate the full realization of his famous thought experiment. By placing a movable mask in front of a double-slit to control the transmission through the individual slits, probability distributions for single- and double-slit arrangements were observed. Also, by recording single electron detection events diffracting through a double-slit, a diffraction pattern was built up from individual events.
Double-slit diffraction is a corner stone of quantum mechanics. It illustrates key features of quantum mechanics: interference and the particle-wave duality of matter. In 1965, Richard Feynman presented a thought experiment to show these features. Here we demonstrate the full realization of his famous thought experiment. By placing a movable mask in front of a double-slit to control the transmission through the individual slits, probability distributions for single- and double-slit arrangements were observed. Also, by recording single electron detection events diffracting through a double-slit, a diffraction pattern was built up from individual events.
The two-slit interference experiment is usually adopted to discuss the superposition principle applied to radiation and to show the peculiar wave behaviour of material particles. Diffraction and interference of electrons have been demonstrated using, as interferometry devices, a hole, a slit, double hole, two-slits, an electrostatic biprism etc. A number of books, short movies and lectures on the web try to popularize the mysterious behaviour of electrons on the basis of Feynman thought experiment which consists of a Young two-hole interferometer equipped with a detector to reveal single electrons. A short review is reported regarding, i) the pioneering attempts carried out to demonstrate that interference patterns could be obtained with single electrons through an interferometer and, ii) recent experiments, which can be considered as the realization of the thought electron interference experiments adopted by Einstein-Bohr and subsequently by Feynman to discuss key features of quantum physics.
The double slit interference experiment has been famously described by Richard Feynman as containing the "only mystery of quantum mechanics". The history of quantum mechanics is intimately linked with the discovery of the dual nature of matter and radiation. While the double slit experiment for light is easily undertsood in terms of its wave nature, the very same experiment for particles like the electron is somewhat more difficult to comprehend. By the 1920s it was firmly established that electrons have a wave nature. However, for a very long time, most discussions pertaining to interference experiments for particles were merely gedanken experiments. It took almost six decades after the establishment of its wave nature to carry out a 'double slit interference' experiment for electrons. This set the stage for interference experiments with larger particles. In the last decade there has been spectacular progress in matter-wave interefernce experiments. Today, molecules with over a hundred atoms can be made to interfere. In the following we discuss some of these exciting developments which probe new regimes of Nature, bringing us closer to the heart of quantum mechanics and its hidden mysteries.
What is the most beautiful experiment in physics? More than 200 readers replied when Robert Crease asked this question in May, and their top five choices include classic experiments by Galileo, Millikan, Newton and Thomas Young (see pp19–20). But uniquely among the top 10, the most beautiful experiment in physics – the double-slit interference experiment with electrons – does not have the name of an individual associated with it. Most discussions of double-slit experiments with particles refer to Feynman's quote in his 1963 lectures: "[It] is absolutely impossible to explain in any classical way and has in it the heart of quantum mechanics. In reality, it contains the only mystery." But who actually carried out the experiment? Standard reference books offer no answer to this question but a search through the literature does reveal several unsung experimental heroes.
In a thought-provoking paper, Couder and Fort [Phys. Rev. Lett. 97, 154101 (2006)] describe a version of the famous double-slit experiment performed with droplets bouncing on a vertically vibrated fluid surface. In the experiment, an interference pattern in the single-particle statistics is found even though it is possible to determine unambiguously which slit the walking droplet passes. Here we argue, however, that the single-particle statistics in such an experiment will be fundamentally different from the single-particle statistics of quantum mechanics. Quantum mechanical interference takes place between different classical paths with precise amplitude and phase relations. In the double-slit experiment with walking droplets, these relations are lost since one of the paths is singled out by the droplet. To support our conclusions, we have carried out our own double-slit experiment, and our results, in particular the long and variable slit passage times of the droplets, cast strong doubt on the feasibility of the interference claimed by Couder and Fort. To understand theoretically the limitations of wave-driven particle systems as analogs to quantum mechanics, we introduce a Schrödinger equation with a source term originating from a localized particle that generates a wave while being simultaneously guided by it. We show that the ensuing particle-wave dynamics can capture some characteristics of quantum mechanics such as orbital quantization. However, the particle-wave dynamics can not reproduce quantum mechanics in general, and we show that the single-particle statistics for our model in a double-slit experiment with an additional splitter plate differs qualitatively from that of quantum mechanics.