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The origin of wave-particle duality of matter revealed

Swapnil R. Patil

Published Jan 1, 2015• 0 citations
Publisher

Abstract

This article describes the origin of wave-particle duality of matter which has led to the birth of quantum mechanics. We argue that the presence of exchange interaction among particles is indispensable for the manifestation of their 'wave-like' behavior. We intend to justify different attributes of their wave character via the exchange interaction. In short, the most fundamental (and unknown) issue in quantum mechanics has been clarified. This article MUST be read together with our other articles, arXiv:1409.7156 and J. Phys.: Cond. Matter 25, 382205 (2013) {the links to these are provided}, for proper appreciation of our ideas. This replacement is a linguistic refinement/elaboration of text of the manuscript and the suppl. info. (like a pedagogical description).

DOI
10.6084/m9.figshare.1597644

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This article describes the origin of wave-particle duality of matter which has led to the birth of quantum mechanics. We argue that the presence of exchange interaction among particles is indispensable for the manifestation of their 'wave-like' behavior. We intend to justify different attributes of their wave character via the exchange interaction. In short, the most fundamental (and unknown) issue in quantum mechanics has been clarified. This article MUST be read together with our other articles, arXiv:1409.7156 and J. Phys.: Cond. Matter 25, 382205 (2013) {the links to these are provided}, for proper appreciation of our ideas. This replacement is a linguistic refinement/elaboration of text of the manuscript and the suppl. info. (like a pedagogical description).
Wave-particle duality has been one of the guiding concepts in the development of modern physics.Even though duality has been extensively studied, the concept possessing multiple definitions has not received due attention.The article, to begin with, establishes the plurality associated with duality by highlighting the presence of multiple interpretations in the history of quantum mechanics and also demonstrates how prominent scientific pedagogic texts, drawing from these different threads of development, differ in the depiction of duality.This plurality has not been recognized for several reasons.Among these, the article criticizes the simplistic historical depiction of duality by showing how the narration of this concept undergoing linear development glosses over crucial historical details.Following that, the nature of the concerned plurality is analysed by comparing it with other kinds of plurality found in science.The article concludes by emphasising the relevance of this discussion for the current scientific research and for the pedagogy of quantum mechanics.
The wave-particle duality of quantum mechanics has always been an unsolved problem in physics. This article attempts to use one of the properties to explain the other, so as to eliminate the confusion of quantum mechanics probability waves. Specifically, this article finds that the discreteness of energy is the inherent property of all waves, so this article explains the particle nature of light from the perspective of light wave, thereby eliminating the confusion of light’s wave-particle duality; in addition, this article found that microscopic matter particles are only suitable for discussing the number of scattered particles or energy flow density, not their position and momentum, when they are forced to discuss their position and momentum, it will inevitably lead to confusion about probability waves, when only discussing the number of scattered particles or energy flow density, its volatility can be explained from the perspective of particle nature, thereby eliminating the confusion of microscopic matter particle probability waves. When the attribute of light as a wave is established, the light needs to overcome the Hamiltonian of the medium in different constraint systems (gravitational fields) during the propagation process, which will produce a universal redshift phenomenon, this can provide a new understanding of cosmic redshift; when the property of light as a wave is established, it means that the speed of light is a constant speed relative to the medium, which can provide a new understanding of the principle of constant speed of light.
Abstract Wave-particle duality is the fundamental phenomenon of particles and fields in quantum mechanics. In the past, the trajectory-like (particle-like) behaviour and wave-like behaviour has been considered separately. In this article, a superimposed model is derived to characterise wave-particle duality of classical particles. The superimposed model reflects an invariant mathematical structure (analogous variables and differential equations) from classical mechanics, classical field theories and quantum mechanics. Its analytical solution carries trajectory-like property (phase-independent) and wave-like property (phase-dependent) of particles that is consistent with to Schrodinger’s picture. Subsequently, the presented model is applied to model duality of classical waves in electromagnetism, acoustics and elasticity. The analysis implies the existence of quantum effects of classical waves at macroscopic scale. It predicts quantum picture on energy and momentum exchange between classical particles and waves. As seen in the model, wave-particle duality reflects inherent and indispensable characteristics of classical objects.
Classical mechanics describes the laws of motion in the macroscopic material world, while quantum mechanics describes the laws of motion in the microscopic material world that classical mechanics cannot explain, and achieves a highly accurate mathematical representation of the laws of microscopic physical motion. But even with such a successful theory, there is confusion about the probability wave. Therefore, this paper attempts to improve the physical definition of the conceptual basis of quantum mechanics, thus solving the confusion of quantum mechanical probability waves, and finally proposes a feasible interpretation of the wave-particle duality origin of microscopic matter particles.