A Hertzian dipole is a small antenna that emits radio waves. In this article, the interaction of a Hertzian dipole with the field reflected from the environment is analyzed. The study shows that a single Hertzian dipole can behave like a quantum object: in particular, it can interfere with itself at a double slit, owing to a ponderomotive force. Therefore, it cannot reach every location behind a double slit with the same probability, and the probability distribution for the location of an impact on a screen behind the double slit may show a clear interference pattern. This effect disappears if one of the slits is closed, or if the system of the Hertzian dipole, double slit and standing wave is disturbed by external influences. Both particle interference and the collapse of the wave function are considered to be effects that cannot be explained by classical physics. However, Hertzian dipoles can be tangible objects moving on classical trajectories, and their location and velocity can be measured simultaneously at any time. Thus, the Hertzian dipole provides an example of how central features of quantum mechanics can be explained by means of classical physics.
A Hertzian dipole is a small antenna that emits radio waves. In this article, the interaction of a Hertzian dipole with the field reflected from the environment is analyzed. The study shows that a single Hertzian dipole can behave like a quantum object: in particular, it can interfere with itself at a double slit, owing to a ponderomotive force. Therefore, it cannot reach every location behind a double slit with the same probability, and the probability distribution for the location of an impact on a screen behind the double slit may show a clear interference pattern. This effect disappears if one of the slits is closed, or if the system of the Hertzian dipole, double slit and standing wave is disturbed by external influences. Both particle interference and the collapse of the wave function are considered to be effects that cannot be explained by classical physics. However, Hertzian dipoles can be tangible objects moving on classical trajectories, and their location and velocity can be measured simultaneously at any time. Thus, the Hertzian dipole provides an example of how central features of quantum mechanics can be explained by means of classical physics.
A Hertzian dipole is a small antenna that emits radio waves. In this article, the interaction of a Hertzian dipole with the field reflected from the environment is analyzed. The study shows that a single Hertzian dipole can behave like a quantum object: in particular, it can interfere with itself at a double slit, owing to a ponderomotive force. Therefore, it cannot reach every location behind a double slit with the same probability, and the probability distribution for the location of an impact on a screen behind the double slit may show a clear interference pattern. This effect disappears if one of the slits is closed, or if the system of the Hertzian dipole, double slit and standing wave is disturbed by external influences. Both particle interference and the collapse of the wave function are considered to be effects that cannot be explained by classical physics. However, Hertzian dipoles can be tangible objects moving on classical trajectories, and their location and velocity can be measured simultaneously at any time. Thus, the Hertzian dipole provides an example of how central features of quantum mechanics can be explained by means of classical physics.
A Hertzian dipole is a mathematical model of a small antenna that emits radio waves. In this article, the interaction of a Hertzian dipole with the field reflected from the environment is analyzed. The study shows that a single Hertzian dipole can behave like a quantum object: in particular, it can interfere with itself at a double slit, owing to a ponderomotive force. Therefore, it cannot reach every location behind a double slit with the same probability, and the probability distribution for the location of an impact on a screen behind the double slit may show a clear interference pattern. This effect disappears if one of the slits is closed, or if the system of the Hertzian dipole, double slit and standing wave is disturbed by external influences. Both particle interference and the collapse of the wave function are considered to be effects that cannot be explained by classical physics. However, Hertzian dipoles can be tangible objects moving on classical trajectories, and their location and velocity can be measured simultaneously at any time. Thus, the Hertzian dipole provides a macroscopic example of how central features of quantum mechanics can be explained in a deterministic manner. This new finding is important for several scientific disciplines, especially chemistry, materials science, electrical engineering, computer science, physics and philosophy.
Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.
The deterministic origin of quantum mechanics remains one of the most enduring challenges in modern physics. While standard quantum theory provides a probabilistic framework for elementary particles, its underlying physical mechanism is often considered non-classical. Here we show that central features of quantum phenomena can emerge from a classical electrodynamic model where particles are treated as tightly bound composites of oscillating charge distributions. These internal oscillations transform the particle into a Hertzian dipole that emits high-frequency, coherent, classical electromagnetic waves. We demonstrate that these waves, when reflected by surrounding matter, generate ponderomotive fields that act back on the particle’s trajectory. Our simulations of electron trajectories in atomic configurations reproduce the interference and diffraction patterns characteristic of double-slit experiments, realizing a pilot-wave-like dynamics reminiscent of de Broglie’s double-solution theory. These findings suggest that wave-particle duality, the measurement problem, and the uncertainty principle may not be irreducible quantum axioms, but rather emergent properties of deterministic, classical interactions between matter and high-frequency electromagnetic fields.
Standard quantum theory provides a probabilistic framework for elementary particles, and it is widely held that the underlying physical mechanisms are inherently non-classical. Here, we present a classical electrodynamic analogue model where particles are treated as tightly bound composites of oscillating charge distributions, establishing a classical analogy to pilot-wave-like dynamics. These internal oscillations transform the particle into a Hertzian dipole that emits high-frequency electromagnetic waves, which are reflected by the environmental boundaries back onto the source. We derive the resulting ponderomotive fields symbolically, providing a closed-form analytical expression for the self-force and its deterministic effect on the particle’s trajectory. By means of Monte Carlo simulations, we demonstrate that the interaction of individual particles with their own reflected wave fields in atomic configurations emulates interference and diffraction patterns reminiscent of double-slit experiments. This hybrid analytical-numerical framework recovers a trajectory-based behavior that shares qualitative features with de Broglie’s double-solution theory. While not a replacement for standard quantum mechanics, our findings explore the potential of high-frequency classical electrodynamics to emulate phenomena such as wave-particle duality and statistical uncertainty through purely deterministic matter-field interactions.
This article investigates the consequences of assuming that elementary particles, such as electrons, are internally composed of two very large charge distributions that almost completely neutralize each other externally and can be displaced relative to one another over a distance on the order of the Planck length. Owing to this internal structure, elementary particles would be excited into oscillation during acceleration in a particle accelerator and would therefore emit very weak but extremely high-frequency, coherent, classical electromagnetic waves. In the immediate vicinity of atoms, these waves would be reflected and subsequently act back on the electron in the form of classical forces. This feedback is analyzed in detail. Starting from the electromagnetic field of a Hertzian dipole, a formalism is derived that enables the calculation of the ponderomotive field exerted on the electron by its environment. The physical implications of this mechanism are then studied using numerical simulations. The obtained results are consistent with those of real diffraction and interference experiments with electrons. These findings suggest that, contrary to the prevailing view, key aspects of quantum mechanics-such as wave-particle duality, the measurement problem, and the uncertainty principle-may be explicable within a classical framework.