TITLE:
The Discovery of a New Type of Wave Form: A Study on the Genesis of de Broglie Waves
AUTHORS:
Yicheng Chen
KEYWORDS:
De Broglie Wave, Newtonian Dynamics, Wave Equation, Schrödinger Equation
JOURNAL NAME:
Open Access Library Journal,
Vol.12 No.8,
August
25,
2025
ABSTRACT: This article aims to reveal the truth behind the formation of de Broglie waves and clarify the mysterious assumptions such as wave-particle duality and probability waves, which people are familiar with but do not understand the reasons behind. On the towering tree of physics, the branch concerning the interpretation of de Broglie waves has grown crooked! This article intends to sprout new buds at this node to promote the progress and prosperity of physics! Based on the electric field force that electrons experience in a cathode ray tube and the continuity equation of electrons, under assumptions such as the non-elastic approximation, this article proves that wave-particle duality is actually the macroscopic movement of microscopic particles in the form of waves. Theoretically, it is demonstrated that the transverse component of the electron’s velocity in the tube satisfies a nonlinear inhomogeneous wave equation.The equations of this type should describe a complex system: under certain parameters, the system may be extremely sensitive to initial conditions, showing chaotic characteristics, and its output is extremely complex and difficult to predict over the long term. This is the uncertainty in quantum mechanics! The conclusion of this article indicates that this is a new form of wave, that is, the form of waves not only includes the propagation of vibrations but also the macroscopic movement of microscopic particles in the form of waves. Therefore, this wave can transport material particles from one end to the other in the form of waves! Moreover, this article discusses a single electron, so even if the electrons are emitted one by one, their wave characteristics can still be observed on the screen! From the discussion in this article, it can be seen that there are still some problems with the movement of electrons in the cathode ray tube that need to be solved in order to further explore the special movement laws of electrons in the cathode ray tube from both theoretical and experimental aspects. At the same time, it is hoped that the theory in this article can provide theoretical guidance for the manufacture and debugging of electron microscopes and the design of large-scale integrated circuits, thereby influencing other related fields. The involved technological fields will be huge and extensive! It is hoped that this article can attract the attention of many colleagues in the physics community and work together to deeply analyze the objective truth of wave-particle duality presented by the movement of microscopic particles, in order to promote the progress and prosperity of physics. Finally, the essential differences between the conclusions of this article and the Schrödinger equation are discussed, and it is proved that the movement of microscopic particles in a constant electric field is not the simple harmonic motion as Schrödinger claimed. Moreover, the key words of wave-particle duality are wave and particle, and the key words of this article are the same. Therefore, the physical phenomena that wave-particle duality can explain should also be explainable by the conclusion of this article!